[{"language":[{"iso":"eng"}],"doi":"10.1090/proc/15882","year":"2022","title":"ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group","author":[{"id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen"},{"first_name":"Jiuya","last_name":"Wang","full_name":"Wang, Jiuya"}],"publication_identifier":{"issn":["0002-9939","1088-6826"]},"date_updated":"2023-03-06T08:47:42Z","publication_status":"published","intvolume":"       150","date_created":"2022-12-22T10:47:01Z","type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"department":[{"_id":"102"}],"publication":"Proceedings of the American Mathematical Society","issue":"7","abstract":[{"lang":"eng","text":"We describe the relations among the ℓ-torsion conjecture, a conjecture of Malle giving an upper bound for the number of extensions, and the discriminant multiplicity conjecture. We prove that the latter two conjectures are equivalent in some sense. Altogether, the three conjectures are equivalent for the class of solvable groups. We then prove the ℓ-torsion conjecture for ℓ-groups and the other two conjectures for nilpotent groups."}],"page":"2793-2805","publisher":"American Mathematical Society (AMS)","_id":"34839","user_id":"93826","volume":150,"status":"public","external_id":{"arxiv":["2003.12161 "]},"citation":{"ama":"Klüners J, Wang J. ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. <i>Proceedings of the American Mathematical Society</i>. 2022;150(7):2793-2805. doi:<a href=\"https://doi.org/10.1090/proc/15882\">10.1090/proc/15882</a>","bibtex":"@article{Klüners_Wang_2022, title={ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group}, volume={150}, DOI={<a href=\"https://doi.org/10.1090/proc/15882\">10.1090/proc/15882</a>}, number={7}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Klüners, Jürgen and Wang, Jiuya}, year={2022}, pages={2793–2805} }","mla":"Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number Fields with an ℓ-Group as Galois Group.” <i>Proceedings of the American Mathematical Society</i>, vol. 150, no. 7, American Mathematical Society (AMS), 2022, pp. 2793–805, doi:<a href=\"https://doi.org/10.1090/proc/15882\">10.1090/proc/15882</a>.","short":"J. Klüners, J. Wang, Proceedings of the American Mathematical Society 150 (2022) 2793–2805.","chicago":"Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number Fields with an ℓ-Group as Galois Group.” <i>Proceedings of the American Mathematical Society</i> 150, no. 7 (2022): 2793–2805. <a href=\"https://doi.org/10.1090/proc/15882\">https://doi.org/10.1090/proc/15882</a>.","apa":"Klüners, J., &#38; Wang, J. (2022). ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. <i>Proceedings of the American Mathematical Society</i>, <i>150</i>(7), 2793–2805. <a href=\"https://doi.org/10.1090/proc/15882\">https://doi.org/10.1090/proc/15882</a>","ieee":"J. Klüners and J. Wang, “ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group,” <i>Proceedings of the American Mathematical Society</i>, vol. 150, no. 7, pp. 2793–2805, 2022, doi: <a href=\"https://doi.org/10.1090/proc/15882\">10.1090/proc/15882</a>."}},{"intvolume":"       204","publication_status":"published","date_updated":"2023-03-06T08:48:33Z","author":[{"id":"21202","last_name":"Klüners","first_name":"Jürgen","full_name":"Klüners, Jürgen"}],"publication_identifier":{"issn":["0065-1036","1730-6264"]},"year":"2022","title":"The asymptotics of nilpotent Galois groups","doi":"10.4064/aa211207-16-5","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"We prove an upper bound for the asymptotics of counting functions of number fields with nilpotent Galois groups. "}],"issue":"2","publication":"Acta Arithmetica","department":[{"_id":"102"}],"keyword":["Algebra and Number Theory"],"type":"journal_article","date_created":"2022-12-22T10:08:23Z","status":"public","volume":204,"user_id":"93826","_id":"34835","publisher":"Institute of Mathematics, Polish Academy of Sciences","page":"165-184","citation":{"short":"J. Klüners, Acta Arithmetica 204 (2022) 165–184.","chicago":"Klüners, Jürgen. “The Asymptotics of Nilpotent Galois Groups.” <i>Acta Arithmetica</i> 204, no. 2 (2022): 165–84. <a href=\"https://doi.org/10.4064/aa211207-16-5\">https://doi.org/10.4064/aa211207-16-5</a>.","apa":"Klüners, J. (2022). The asymptotics of nilpotent Galois groups. <i>Acta Arithmetica</i>, <i>204</i>(2), 165–184. <a href=\"https://doi.org/10.4064/aa211207-16-5\">https://doi.org/10.4064/aa211207-16-5</a>","ieee":"J. Klüners, “The asymptotics of nilpotent Galois groups,” <i>Acta Arithmetica</i>, vol. 204, no. 2, pp. 165–184, 2022, doi: <a href=\"https://doi.org/10.4064/aa211207-16-5\">10.4064/aa211207-16-5</a>.","ama":"Klüners J. The asymptotics of nilpotent Galois groups. <i>Acta Arithmetica</i>. 2022;204(2):165-184. doi:<a href=\"https://doi.org/10.4064/aa211207-16-5\">10.4064/aa211207-16-5</a>","bibtex":"@article{Klüners_2022, title={The asymptotics of nilpotent Galois groups}, volume={204}, DOI={<a href=\"https://doi.org/10.4064/aa211207-16-5\">10.4064/aa211207-16-5</a>}, number={2}, journal={Acta Arithmetica}, publisher={Institute of Mathematics, Polish Academy of Sciences}, author={Klüners, Jürgen}, year={2022}, pages={165–184} }","mla":"Klüners, Jürgen. “The Asymptotics of Nilpotent Galois Groups.” <i>Acta Arithmetica</i>, vol. 204, no. 2, Institute of Mathematics, Polish Academy of Sciences, 2022, pp. 165–84, doi:<a href=\"https://doi.org/10.4064/aa211207-16-5\">10.4064/aa211207-16-5</a>."},"external_id":{"arxiv":["2011.04325 "]}},{"date_created":"2023-05-02T18:34:25Z","department":[{"_id":"602"}],"type":"journal_article","citation":{"mla":"Burban, Igor, and Yu. Drozd. “Morita Theory for Non-Commutative Noetherian Schemes.” <i>Advances in Mathematics</i>, vol. 399, 108273, 2022, doi:<a href=\"https://doi.org/10.1016/j.aim.2022.108273\">10.1016/j.aim.2022.108273</a>.","ama":"Burban I, Drozd Yu. Morita theory for non-commutative noetherian schemes. <i>Advances in Mathematics</i>. 2022;399. doi:<a href=\"https://doi.org/10.1016/j.aim.2022.108273\">10.1016/j.aim.2022.108273</a>","bibtex":"@article{Burban_Drozd_2022, title={Morita theory for non-commutative noetherian schemes}, volume={399}, DOI={<a href=\"https://doi.org/10.1016/j.aim.2022.108273\">10.1016/j.aim.2022.108273</a>}, number={108273}, journal={Advances in Mathematics}, author={Burban, Igor and Drozd, Yu.}, year={2022} }","apa":"Burban, I., &#38; Drozd, Yu. (2022). Morita theory for non-commutative noetherian schemes. <i>Advances in Mathematics</i>, <i>399</i>, Article 108273. <a href=\"https://doi.org/10.1016/j.aim.2022.108273\">https://doi.org/10.1016/j.aim.2022.108273</a>","ieee":"I. Burban and Yu. Drozd, “Morita theory for non-commutative noetherian schemes,” <i>Advances in Mathematics</i>, vol. 399, Art. no. 108273, 2022, doi: <a href=\"https://doi.org/10.1016/j.aim.2022.108273\">10.1016/j.aim.2022.108273</a>.","chicago":"Burban, Igor, and Yu. Drozd. “Morita Theory for Non-Commutative Noetherian Schemes.” <i>Advances in Mathematics</i> 399 (2022). <a href=\"https://doi.org/10.1016/j.aim.2022.108273\">https://doi.org/10.1016/j.aim.2022.108273</a>.","short":"I. Burban, Yu. Drozd, Advances in Mathematics 399 (2022)."},"publication":"Advances in Mathematics","abstract":[{"text":"In this paper, we study equivalences between the categories of quasi–coherent sheaves on non–commutative noetherian schemes. In particular, we give a new proof of Căldăraru's conjecture about Morita equivalences of Azumaya algebras on noetherian schemes. Moreover, we derive necessary and sufficient condition for two reduced non–commutative curves to be Morita equivalent.","lang":"eng"}],"_id":"44328","language":[{"iso":"eng"}],"article_number":"108273","volume":399,"user_id":"49063","doi":"10.1016/j.aim.2022.108273","author":[{"id":"72064","full_name":"Burban, Igor","last_name":"Burban","first_name":"Igor"},{"last_name":"Drozd","first_name":"Yu.","full_name":"Drozd, Yu."}],"title":"Morita theory for non-commutative noetherian schemes","year":"2022","status":"public","intvolume":"       399","publication_status":"published","date_updated":"2023-05-07T01:35:27Z"},{"type":"journal_article","department":[{"_id":"602"}],"date_created":"2023-05-02T18:32:49Z","publication":"Journal of Geometry and Physics","citation":{"ieee":"I. Burban and A. Peruzzi, “On elliptic solutions of the associative Yang-Baxter equation,” <i>Journal of Geometry and Physics</i>, vol. 176, Art. no. 104499, 2022.","apa":"Burban, I., &#38; Peruzzi, A. (2022). On elliptic solutions of the associative Yang-Baxter equation. <i>Journal of Geometry and Physics</i>, <i>176</i>, Article 104499.","short":"I. Burban, A. Peruzzi, Journal of Geometry and Physics 176 (2022).","chicago":"Burban, Igor, and A. Peruzzi. “On Elliptic Solutions of the Associative Yang-Baxter Equation.” <i>Journal of Geometry and Physics</i> 176 (2022).","mla":"Burban, Igor, and A. Peruzzi. “On Elliptic Solutions of the Associative Yang-Baxter Equation.” <i>Journal of Geometry and Physics</i>, vol. 176, 104499, 2022.","bibtex":"@article{Burban_Peruzzi_2022, title={On elliptic solutions of the associative Yang-Baxter equation}, volume={176}, number={104499}, journal={Journal of Geometry and Physics}, author={Burban, Igor and Peruzzi, A.}, year={2022} }","ama":"Burban I, Peruzzi A. On elliptic solutions of the associative Yang-Baxter equation. <i>Journal of Geometry and Physics</i>. 2022;176."},"user_id":"49063","volume":176,"article_number":"104499","language":[{"iso":"eng"}],"_id":"44327","date_updated":"2023-05-07T01:41:35Z","publication_status":"published","intvolume":"       176","title":"On elliptic solutions of the associative Yang-Baxter equation","status":"public","year":"2022","author":[{"last_name":"Burban","first_name":"Igor","full_name":"Burban, Igor","id":"72064"},{"full_name":"Peruzzi, A.","first_name":"A.","last_name":"Peruzzi"}]},{"date_created":"2023-05-08T09:04:06Z","type":"journal_article","department":[{"_id":"636"}],"publication":"Mathematics of Control, Signals, and Systems","citation":{"ama":"Faulwasser T, Flaßkamp K, Ober-Blöbaum S, Schaller M, Worthmann K. Manifold turnpikes, trims, and symmetries. <i>Mathematics of Control, Signals, and Systems</i>. 2022;34:759-788.","bibtex":"@article{Faulwasser_Flaßkamp_Ober-Blöbaum_Schaller_Worthmann_2022, title={Manifold turnpikes, trims, and symmetries}, volume={34}, journal={Mathematics of Control, Signals, and Systems}, publisher={Springer}, author={Faulwasser, Timm and Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Schaller, Manuel and Worthmann, Karl}, year={2022}, pages={759–788} }","mla":"Faulwasser, Timm, et al. “Manifold Turnpikes, Trims, and Symmetries.” <i>Mathematics of Control, Signals, and Systems</i>, vol. 34, Springer, 2022, pp. 759–88.","short":"T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, K. Worthmann, Mathematics of Control, Signals, and Systems 34 (2022) 759–788.","chicago":"Faulwasser, Timm, Kathrin Flaßkamp, Sina Ober-Blöbaum, Manuel Schaller, and Karl Worthmann. “Manifold Turnpikes, Trims, and Symmetries.” <i>Mathematics of Control, Signals, and Systems</i> 34 (2022): 759–88.","apa":"Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., Schaller, M., &#38; Worthmann, K. (2022). Manifold turnpikes, trims, and symmetries. <i>Mathematics of Control, Signals, and Systems</i>, <i>34</i>, 759–788.","ieee":"T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, and K. Worthmann, “Manifold turnpikes, trims, and symmetries,” <i>Mathematics of Control, Signals, and Systems</i>, vol. 34, pp. 759–788, 2022."},"page":"759-788","publisher":"Springer","_id":"44624","language":[{"iso":"eng"}],"user_id":"15694","volume":34,"status":"public","year":"2022","title":"Manifold turnpikes, trims, and symmetries","author":[{"last_name":"Faulwasser","first_name":"Timm","full_name":"Faulwasser, Timm"},{"last_name":"Flaßkamp","first_name":"Kathrin","full_name":"Flaßkamp, Kathrin"},{"id":"16494","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina"},{"last_name":"Schaller","first_name":"Manuel","full_name":"Schaller, Manuel"},{"full_name":"Worthmann, Karl","first_name":"Karl","last_name":"Worthmann"}],"date_updated":"2023-05-08T09:04:26Z","intvolume":"        34"},{"department":[{"_id":"542"}],"type":"journal_article","keyword":["Discrete Mathematics and Combinatorics"],"date_created":"2022-10-17T07:54:41Z","external_id":{"arxiv":["2106.05928"]},"abstract":[{"lang":"eng","text":"There are many concepts of signed graph coloring which are defined by assigning colors to the vertices of the graphs. These concepts usually differ in the number of self-inverse colors used. We introduce a unifying concept for this kind of coloring by assigning elements from symmetric sets to the vertices of the signed graphs. In the first part of the paper, we study colorings with elements from symmetric sets where the number of self-inverse elements is fixed. We prove a Brooks’-type theorem and upper bounds for the corresponding chromatic numbers in terms of the chromatic number of the underlying graph. These results are used in the second part where we introduce the symset-chromatic number χsym(G,σ) of a signed graph (G,σ). We show that the symset-chromatic number gives the minimum partition of a signed graph into independent sets and non-bipartite antibalanced subgraphs. In particular, χsym(G,σ)≤χ(G). In the final section we show that these colorings can also be formalized as DP-colorings."}],"citation":{"mla":"Cappello, Chiara, and Eckhard Steffen. “Symmetric Set Coloring of Signed Graphs.” <i>Annals of Combinatorics</i>, Springer Science and Business Media LLC, 2022, doi:<a href=\"https://doi.org/10.1007/s00026-022-00593-4\">10.1007/s00026-022-00593-4</a>.","bibtex":"@article{Cappello_Steffen_2022, title={Symmetric Set Coloring of Signed Graphs}, DOI={<a href=\"https://doi.org/10.1007/s00026-022-00593-4\">10.1007/s00026-022-00593-4</a>}, journal={Annals of Combinatorics}, publisher={Springer Science and Business Media LLC}, author={Cappello, Chiara and Steffen, Eckhard}, year={2022} }","ama":"Cappello C, Steffen E. Symmetric Set Coloring of Signed Graphs. <i>Annals of Combinatorics</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1007/s00026-022-00593-4\">10.1007/s00026-022-00593-4</a>","ieee":"C. Cappello and E. Steffen, “Symmetric Set Coloring of Signed Graphs,” <i>Annals of Combinatorics</i>, 2022, doi: <a href=\"https://doi.org/10.1007/s00026-022-00593-4\">10.1007/s00026-022-00593-4</a>.","apa":"Cappello, C., &#38; Steffen, E. (2022). Symmetric Set Coloring of Signed Graphs. <i>Annals of Combinatorics</i>. <a href=\"https://doi.org/10.1007/s00026-022-00593-4\">https://doi.org/10.1007/s00026-022-00593-4</a>","short":"C. Cappello, E. Steffen, Annals of Combinatorics (2022).","chicago":"Cappello, Chiara, and Eckhard Steffen. “Symmetric Set Coloring of Signed Graphs.” <i>Annals of Combinatorics</i>, 2022. <a href=\"https://doi.org/10.1007/s00026-022-00593-4\">https://doi.org/10.1007/s00026-022-00593-4</a>."},"publication":"Annals of Combinatorics","doi":"10.1007/s00026-022-00593-4","user_id":"15540","_id":"33741","language":[{"iso":"eng"}],"publisher":"Springer Science and Business Media LLC","date_updated":"2023-05-16T10:37:58Z","publication_status":"published","author":[{"id":"72874","last_name":"Cappello","first_name":"Chiara","full_name":"Cappello, Chiara"},{"full_name":"Steffen, Eckhard","last_name":"Steffen","first_name":"Eckhard","orcid":"0000-0002-9808-7401","id":"15548"}],"publication_identifier":{"issn":["0218-0006","0219-3094"]},"year":"2022","title":"Symmetric Set Coloring of Signed Graphs","status":"public"},{"status":"public","page":"183-193","publisher":"Elsevier BV","_id":"33950","user_id":"15540","volume":322,"citation":{"ieee":"C. Cappello and E. Steffen, “Frustration-critical signed graphs,” <i>Discrete Applied Mathematics</i>, vol. 322, pp. 183–193, 2022, doi: <a href=\"https://doi.org/10.1016/j.dam.2022.08.010\">10.1016/j.dam.2022.08.010</a>.","apa":"Cappello, C., &#38; Steffen, E. (2022). Frustration-critical signed graphs. <i>Discrete Applied Mathematics</i>, <i>322</i>, 183–193. <a href=\"https://doi.org/10.1016/j.dam.2022.08.010\">https://doi.org/10.1016/j.dam.2022.08.010</a>","chicago":"Cappello, Chiara, and Eckhard Steffen. “Frustration-Critical Signed Graphs.” <i>Discrete Applied Mathematics</i> 322 (2022): 183–93. <a href=\"https://doi.org/10.1016/j.dam.2022.08.010\">https://doi.org/10.1016/j.dam.2022.08.010</a>.","short":"C. Cappello, E. Steffen, Discrete Applied Mathematics 322 (2022) 183–193.","mla":"Cappello, Chiara, and Eckhard Steffen. “Frustration-Critical Signed Graphs.” <i>Discrete Applied Mathematics</i>, vol. 322, Elsevier BV, 2022, pp. 183–93, doi:<a href=\"https://doi.org/10.1016/j.dam.2022.08.010\">10.1016/j.dam.2022.08.010</a>.","bibtex":"@article{Cappello_Steffen_2022, title={Frustration-critical signed graphs}, volume={322}, DOI={<a href=\"https://doi.org/10.1016/j.dam.2022.08.010\">10.1016/j.dam.2022.08.010</a>}, journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Cappello, Chiara and Steffen, Eckhard}, year={2022}, pages={183–193} }","ama":"Cappello C, Steffen E. Frustration-critical signed graphs. <i>Discrete Applied Mathematics</i>. 2022;322:183-193. doi:<a href=\"https://doi.org/10.1016/j.dam.2022.08.010\">10.1016/j.dam.2022.08.010</a>"},"external_id":{"arxiv":["2112.02664"]},"title":"Frustration-critical signed graphs","year":"2022","publication_identifier":{"issn":["0166-218X"]},"author":[{"id":"72874","full_name":"Cappello, Chiara","first_name":"Chiara","last_name":"Cappello"},{"last_name":"Steffen","first_name":"Eckhard","orcid":"0000-0002-9808-7401","full_name":"Steffen, Eckhard","id":"15548"}],"date_updated":"2023-05-16T10:36:51Z","publication_status":"published","intvolume":"       322","language":[{"iso":"eng"}],"doi":"10.1016/j.dam.2022.08.010","publication":"Discrete Applied Mathematics","date_created":"2022-10-28T06:51:31Z","keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics"],"type":"journal_article","department":[{"_id":"542"}]},{"user_id":"49063","_id":"45679","publisher":"WTM-Verlag","language":[{"iso":"ger"}],"publication_status":"published","date_updated":"2023-06-20T18:27:55Z","author":[{"first_name":"Julia","last_name":"Bruns","orcid":"https://orcid.org/0000-0002-6604-5864","full_name":"Bruns, Julia","id":"72183"},{"first_name":"D.","last_name":"Reuter","full_name":"Reuter, D."}],"status":"public","year":"2022","title":"„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?","department":[{"_id":"97"},{"_id":"611"}],"type":"conference","date_created":"2023-06-20T18:27:40Z","citation":{"short":"J. Bruns, D. Reuter, in: Beiträge zum Mathematikunterricht 2022, WTM-Verlag, 2022.","chicago":"Bruns, Julia, and D. Reuter. “„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?” In <i>Beiträge zum Mathematikunterricht 2022</i>. WTM-Verlag, 2022.","apa":"Bruns, J., &#38; Reuter, D. (2022). „Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen? <i>Beiträge zum Mathematikunterricht 2022</i>.","ieee":"J. Bruns and D. Reuter, “„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?,” 2022.","ama":"Bruns J, Reuter D. „Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen? In: <i>Beiträge zum Mathematikunterricht 2022</i>. WTM-Verlag; 2022.","bibtex":"@inproceedings{Bruns_Reuter_2022, title={„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?}, booktitle={Beiträge zum Mathematikunterricht 2022}, publisher={WTM-Verlag}, author={Bruns, Julia and Reuter, D.}, year={2022} }","mla":"Bruns, Julia, and D. Reuter. “„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?” <i>Beiträge zum Mathematikunterricht 2022</i>, WTM-Verlag, 2022."},"publication":"Beiträge zum Mathematikunterricht 2022"},{"publication_status":"published","date_updated":"2023-06-20T19:06:39Z","author":[{"orcid":"https://orcid.org/0000-0002-6604-5864","first_name":"Julia","last_name":"Bruns","full_name":"Bruns, Julia","id":"72183"},{"last_name":"Hagena","first_name":"M.","full_name":"Hagena, M."},{"first_name":"H.","last_name":"Gasteiger","full_name":"Gasteiger, H."}],"conference":{"location":"Free University of Bozen-Bolzano and ERME","name":"Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)"},"status":"public","year":"2022","title":"Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education","editor":[{"last_name":"Hodgen","first_name":"J.","full_name":"Hodgen, J."},{"full_name":"Geraniou, E.","first_name":"E.","last_name":"Geraniou"},{"full_name":"Bolondi, G.","last_name":"Bolondi","first_name":"G."},{"last_name":"Ferretti","first_name":"F.","full_name":"Ferretti, F."}],"user_id":"49063","_id":"45678","language":[{"iso":"eng"}],"citation":{"short":"J. Bruns, M. Hagena, H. Gasteiger, in: J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti (Eds.), Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022.","chicago":"Bruns, Julia, M. Hagena, and H. Gasteiger. “Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education.” In <i>Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)</i>, edited by J. Hodgen, E. Geraniou, G. Bolondi, and F. Ferretti, 2022.","apa":"Bruns, J., Hagena, M., &#38; Gasteiger, H. (2022). Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education. In J. Hodgen, E. Geraniou, G. Bolondi, &#38; F. Ferretti (Eds.), <i>Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)</i>.","ieee":"J. Bruns, M. Hagena, and H. Gasteiger, “Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education,” in <i>Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)</i>, Free University of Bozen-Bolzano and ERME, 2022.","ama":"Bruns J, Hagena M, Gasteiger H. Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education. In: Hodgen J, Geraniou E, Bolondi G, Ferretti F, eds. <i>Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)</i>. ; 2022.","bibtex":"@inproceedings{Bruns_Hagena_Gasteiger_2022, title={Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education}, booktitle={Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}, author={Bruns, Julia and Hagena, M. and Gasteiger, H.}, editor={Hodgen, J. and Geraniou, E. and Bolondi, G. and Ferretti, F.}, year={2022} }","mla":"Bruns, Julia, et al. “Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education.” <i>Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)</i>, edited by J. Hodgen et al., 2022."},"publication":"Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)","department":[{"_id":"97"},{"_id":"611"}],"type":"conference","date_created":"2023-06-20T18:26:19Z"},{"citation":{"bibtex":"@article{Bruns_Langer_Erhorn_2022, title={Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht}, volume={52}, DOI={<a href=\"https://doi.org/10.1007/s12662-022-00807-0\">10.1007/s12662-022-00807-0</a>}, number={3}, journal={German Journal of Exercise and Sport Research}, author={Bruns, Julia and Langer, W. and Erhorn, J.}, year={2022}, pages={386–397} }","chicago":"Bruns, Julia, W. Langer, and J. Erhorn. “Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht.” <i>German Journal of Exercise and Sport Research</i> 52, no. 3 (2022): 386–397. <a href=\"https://doi.org/10.1007/s12662-022-00807-0\">https://doi.org/10.1007/s12662-022-00807-0</a>.","short":"J. Bruns, W. Langer, J. Erhorn, German Journal of Exercise and Sport Research 52 (2022) 386–397.","ama":"Bruns J, Langer W, Erhorn J. Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht. <i>German Journal of Exercise and Sport Research</i>. 2022;52(3):386–397. doi:<a href=\"https://doi.org/10.1007/s12662-022-00807-0\">10.1007/s12662-022-00807-0</a>","ieee":"J. Bruns, W. Langer, and J. Erhorn, “Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht,” <i>German Journal of Exercise and Sport Research</i>, vol. 52, no. 3, pp. 386–397, 2022, doi: <a href=\"https://doi.org/10.1007/s12662-022-00807-0\">10.1007/s12662-022-00807-0</a>.","mla":"Bruns, Julia, et al. “Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht.” <i>German Journal of Exercise and Sport Research</i>, vol. 52, no. 3, 2022, pp. 386–397, doi:<a href=\"https://doi.org/10.1007/s12662-022-00807-0\">10.1007/s12662-022-00807-0</a>.","apa":"Bruns, J., Langer, W., &#38; Erhorn, J. (2022). Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht. <i>German Journal of Exercise and Sport Research</i>, <i>52</i>(3), 386–397. <a href=\"https://doi.org/10.1007/s12662-022-00807-0\">https://doi.org/10.1007/s12662-022-00807-0</a>"},"issue":"3","publication":"German Journal of Exercise and Sport Research","department":[{"_id":"97"},{"_id":"611"}],"type":"journal_article","date_created":"2023-06-20T18:22:54Z","intvolume":"        52","publication_status":"published","date_updated":"2023-06-20T19:06:58Z","author":[{"orcid":"https://orcid.org/0000-0002-6604-5864","first_name":"Julia","last_name":"Bruns","full_name":"Bruns, Julia","id":"72183"},{"full_name":"Langer, W.","last_name":"Langer","first_name":"W."},{"full_name":"Erhorn, J.","last_name":"Erhorn","first_name":"J."}],"title":"Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht","status":"public","year":"2022","volume":52,"user_id":"49063","doi":"10.1007/s12662-022-00807-0","_id":"45677","language":[{"iso":"ger"}],"page":"386–397"},{"_id":"34820","publisher":"Springer","page":"386-397","volume":52,"user_id":"49063","status":"public","external_id":{"isi":["000788945100004"]},"citation":{"mla":"Langer, Wiebke, et al. “Development and Validation of a Video-Based Test Instrument to Measure Noticing with Regard to Processes Ofrecognition in Inclusive Physical Education.” <i>German Journal of Exercise and Sport Research</i>, vol. 52, no. 3, Springer, 2022, pp. 386–97, doi:<a href=\"https://doi.org/10.1007/s12662-022-00807-0\">10.1007/s12662-022-00807-0</a>.","bibtex":"@article{Langer_Bruns_Erhorn_2022, title={Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education}, volume={52}, DOI={<a href=\"https://doi.org/10.1007/s12662-022-00807-0\">10.1007/s12662-022-00807-0</a>}, number={3}, journal={German Journal of Exercise and Sport Research}, publisher={Springer}, author={Langer, Wiebke and Bruns, Julia and Erhorn, Jan}, year={2022}, pages={386–397} }","ama":"Langer W, Bruns J, Erhorn J. Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education. <i>German Journal of Exercise and Sport Research</i>. 2022;52(3):386-397. doi:<a href=\"https://doi.org/10.1007/s12662-022-00807-0\">10.1007/s12662-022-00807-0</a>","ieee":"W. Langer, J. Bruns, and J. Erhorn, “Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education,” <i>German Journal of Exercise and Sport Research</i>, vol. 52, no. 3, pp. 386–397, 2022, doi: <a href=\"https://doi.org/10.1007/s12662-022-00807-0\">10.1007/s12662-022-00807-0</a>.","apa":"Langer, W., Bruns, J., &#38; Erhorn, J. (2022). Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education. <i>German Journal of Exercise and Sport Research</i>, <i>52</i>(3), 386–397. <a href=\"https://doi.org/10.1007/s12662-022-00807-0\">https://doi.org/10.1007/s12662-022-00807-0</a>","chicago":"Langer, Wiebke, Julia Bruns, and Jan Erhorn. “Development and Validation of a Video-Based Test Instrument to Measure Noticing with Regard to Processes Ofrecognition in Inclusive Physical Education.” <i>German Journal of Exercise and Sport Research</i> 52, no. 3 (2022): 386–97. <a href=\"https://doi.org/10.1007/s12662-022-00807-0\">https://doi.org/10.1007/s12662-022-00807-0</a>.","short":"W. Langer, J. Bruns, J. Erhorn, German Journal of Exercise and Sport Research 52 (2022) 386–397."},"isi":"1","quality_controlled":"1","language":[{"iso":"eng"}],"doi":"10.1007/s12662-022-00807-0","author":[{"full_name":"Langer, Wiebke","first_name":"Wiebke","last_name":"Langer"},{"id":"72183","first_name":"Julia","last_name":"Bruns","orcid":"https://orcid.org/0000-0002-6604-5864","full_name":"Bruns, Julia"},{"last_name":"Erhorn","first_name":"Jan","full_name":"Erhorn, Jan"}],"publication_identifier":{"eissn":["2509-3150"],"issn":["2509-3142"]},"year":"2022","title":"Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education","article_type":"original","intvolume":"        52","publication_status":"published","date_updated":"2023-06-20T19:10:42Z","date_created":"2022-12-22T09:22:45Z","department":[{"_id":"97"},{"_id":"611"}],"type":"journal_article","keyword":["Physical education teacher education","Competence modelling and","measurement","Inclusive physical education","Video-based items","Noticing"],"issue":"3","publication":"German Journal of Exercise and Sport Research","abstract":[{"text":"The construct of noticing is considered to be of crucial importance for professional action of (prospective) physical education (PE) teachers in the context of (inclusive) PE. In order to implement the demands of inclusive PE teaching, noticingwith regard to processes of recognition proves to be particularly significant. Due to the relevance of physicality, the design of recognition relationships that encourage pupils' development results in specific requirements for the selective attention and the theory-based interpretation of processes of recognition and disregard in complex teaching situations. This facet of competence has hardly been studied so far, partly due to the lack of instruments for standardised assessment of this construct. In the context of this paper, the development and validation of a standardised, video vignette-based test instrument for the measurement of noticingwith regard to processes of recognition of prospective PE teachers is presented. The validation focuses on the content of the test and the internal structure of the instrument as well as on correlations with related constructs in terms of content. The results from three consecutive validation studies provide indications of the reliability and validity of the test score interpretation of the instrument ViProQiS_A. The findings so far indicate that the standardised measurement of noticingwith regard to processes of recognitionin inclusive PE could be realized on the basis of the test instrument developed here.","lang":"eng"}]},{"external_id":{"isi":["000852117800001"]},"quality_controlled":"1","isi":"1","citation":{"ama":"Hagena M, Bruns J, Gasteiger H. Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft. <i>Zeitschrift für Erziehungswissenschaft</i>. 2022;25(6):1455–1480. doi:<a href=\"https://doi.org/10.1007/s11618-022-01122-y\">10.1007/s11618-022-01122-y</a>","bibtex":"@article{Hagena_Bruns_Gasteiger_2022, title={Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft}, volume={25}, DOI={<a href=\"https://doi.org/10.1007/s11618-022-01122-y\">10.1007/s11618-022-01122-y</a>}, number={6}, journal={Zeitschrift für Erziehungswissenschaft}, publisher={Springer Vieweg-springer Fachmedien Wiesbaden Gmbh}, author={Hagena, Maike and Bruns, Julia and Gasteiger, Hedwig}, year={2022}, pages={1455–1480} }","mla":"Hagena, Maike, et al. “Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft.” <i>Zeitschrift für Erziehungswissenschaft</i>, vol. 25, no. 6, Springer Vieweg-springer Fachmedien Wiesbaden Gmbh, 2022, pp. 1455–1480, doi:<a href=\"https://doi.org/10.1007/s11618-022-01122-y\">10.1007/s11618-022-01122-y</a>.","short":"M. Hagena, J. Bruns, H. Gasteiger, Zeitschrift für Erziehungswissenschaft 25 (2022) 1455–1480.","chicago":"Hagena, Maike, Julia Bruns, and Hedwig Gasteiger. “Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft.” <i>Zeitschrift für Erziehungswissenschaft</i> 25, no. 6 (2022): 1455–1480. <a href=\"https://doi.org/10.1007/s11618-022-01122-y\">https://doi.org/10.1007/s11618-022-01122-y</a>.","apa":"Hagena, M., Bruns, J., &#38; Gasteiger, H. (2022). Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft. <i>Zeitschrift für Erziehungswissenschaft</i>, <i>25</i>(6), 1455–1480. <a href=\"https://doi.org/10.1007/s11618-022-01122-y\">https://doi.org/10.1007/s11618-022-01122-y</a>","ieee":"M. Hagena, J. Bruns, and H. Gasteiger, “Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft,” <i>Zeitschrift für Erziehungswissenschaft</i>, vol. 25, no. 6, pp. 1455–1480, 2022, doi: <a href=\"https://doi.org/10.1007/s11618-022-01122-y\">10.1007/s11618-022-01122-y</a>."},"user_id":"49063","volume":25,"page":"1455–1480","publisher":"Springer Vieweg-springer Fachmedien Wiesbaden Gmbh","_id":"34819","status":"public","type":"journal_article","keyword":["Facilitator professional development","Early childhood teachers","Teaching","experience","Early mathematics education"],"department":[{"_id":"611"},{"_id":"97"}],"date_created":"2022-12-22T09:22:45Z","abstract":[{"text":"Teachers expect facilitators to have own teaching experience as a teacher in order to be able to carry out effective teacher professional development programs. As part of the project EmMa(M), it is investigated, to which extent the teaching experience of facilitators influences the development of early childhood teachers' (n = 83) mathematical pedagogical content knowledge (MPCK) and early childhood teachers' enjoyment of mathematics in the context of a teacher professional development program. It turns out that the teaching experience of the facilitators has no influence on the development of early childhood teachers' MPCK, but favors the development of early childhood teachers' enjoyment of mathematics. Controlling for this increased enjoyment an influence of teaching experience on the development of early childhood teachers' MPCK emerges, but in favor of the participating facilitators who have no teaching experience but have a university degree.","lang":"eng"}],"issue":"6","publication":"Zeitschrift für Erziehungswissenschaft","doi":"10.1007/s11618-022-01122-y","language":[{"iso":"ger"}],"publication_status":"published","date_updated":"2023-06-20T19:10:11Z","article_type":"original","intvolume":"        25","title":"Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft","year":"2022","author":[{"last_name":"Hagena","first_name":"Maike","full_name":"Hagena, Maike"},{"orcid":"https://orcid.org/0000-0002-6604-5864","first_name":"Julia","last_name":"Bruns","full_name":"Bruns, Julia","id":"72183"},{"full_name":"Gasteiger, Hedwig","first_name":"Hedwig","last_name":"Gasteiger"}],"publication_identifier":{"eissn":["1862-5215"],"issn":["1434-663X"]}},{"language":[{"iso":"ger"}],"_id":"36472","publisher":"Springer Berlin Heidelberg","user_id":"49063","doi":"10.1007/978-3-662-63214-7_3","title":"Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich","status":"public","year":"2022","publication_identifier":{"isbn":["9783662632130","9783662632147"]},"author":[{"full_name":"Reuter, Dinah","first_name":"Dinah","last_name":"Reuter"},{"orcid":"https://orcid.org/0000-0002-6604-5864","last_name":"Bruns","first_name":"Julia","full_name":"Bruns, Julia","id":"72183"}],"publication_status":"published","date_updated":"2023-06-20T19:10:24Z","date_created":"2023-01-12T14:51:59Z","place":"Berlin, Heidelberg","type":"book_chapter","department":[{"_id":"97"},{"_id":"611"}],"publication":"Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik","citation":{"apa":"Reuter, D., &#38; Bruns, J. (2022). Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich. In <i>Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik</i>. Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/978-3-662-63214-7_3\">https://doi.org/10.1007/978-3-662-63214-7_3</a>","ieee":"D. Reuter and J. Bruns, “Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich,” in <i>Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik</i>, Berlin, Heidelberg: Springer Berlin Heidelberg, 2022.","short":"D. Reuter, J. Bruns, in: Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2022.","chicago":"Reuter, Dinah, and Julia Bruns. “Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich.” In <i>Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik</i>. Berlin, Heidelberg: Springer Berlin Heidelberg, 2022. <a href=\"https://doi.org/10.1007/978-3-662-63214-7_3\">https://doi.org/10.1007/978-3-662-63214-7_3</a>.","mla":"Reuter, Dinah, and Julia Bruns. “Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich.” <i>Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik</i>, Springer Berlin Heidelberg, 2022, doi:<a href=\"https://doi.org/10.1007/978-3-662-63214-7_3\">10.1007/978-3-662-63214-7_3</a>.","ama":"Reuter D, Bruns J. Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich. In: <i>Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik</i>. Springer Berlin Heidelberg; 2022. doi:<a href=\"https://doi.org/10.1007/978-3-662-63214-7_3\">10.1007/978-3-662-63214-7_3</a>","bibtex":"@inbook{Reuter_Bruns_2022, place={Berlin, Heidelberg}, title={Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich}, DOI={<a href=\"https://doi.org/10.1007/978-3-662-63214-7_3\">10.1007/978-3-662-63214-7_3</a>}, booktitle={Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik}, publisher={Springer Berlin Heidelberg}, author={Reuter, Dinah and Bruns, Julia}, year={2022} }"},"quality_controlled":"1"},{"status":"public","volume":31,"user_id":"93826","_id":"45854","publisher":"Informa UK Limited","page":"280-301","citation":{"ieee":"M. Kirschmer and G. Nebe, “Binary Hermitian Lattices over Number Fields,” <i>Experimental Mathematics</i>, vol. 31, no. 1, pp. 280–301, 2022, doi: <a href=\"https://doi.org/10.1080/10586458.2019.1618756\">10.1080/10586458.2019.1618756</a>.","apa":"Kirschmer, M., &#38; Nebe, G. (2022). Binary Hermitian Lattices over Number Fields. <i>Experimental Mathematics</i>, <i>31</i>(1), 280–301. <a href=\"https://doi.org/10.1080/10586458.2019.1618756\">https://doi.org/10.1080/10586458.2019.1618756</a>","chicago":"Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.” <i>Experimental Mathematics</i> 31, no. 1 (2022): 280–301. <a href=\"https://doi.org/10.1080/10586458.2019.1618756\">https://doi.org/10.1080/10586458.2019.1618756</a>.","short":"M. Kirschmer, G. Nebe, Experimental Mathematics 31 (2022) 280–301.","mla":"Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.” <i>Experimental Mathematics</i>, vol. 31, no. 1, Informa UK Limited, 2022, pp. 280–301, doi:<a href=\"https://doi.org/10.1080/10586458.2019.1618756\">10.1080/10586458.2019.1618756</a>.","bibtex":"@article{Kirschmer_Nebe_2022, title={Binary Hermitian Lattices over Number Fields}, volume={31}, DOI={<a href=\"https://doi.org/10.1080/10586458.2019.1618756\">10.1080/10586458.2019.1618756</a>}, number={1}, journal={Experimental Mathematics}, publisher={Informa UK Limited}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2022}, pages={280–301} }","ama":"Kirschmer M, Nebe G. Binary Hermitian Lattices over Number Fields. <i>Experimental Mathematics</i>. 2022;31(1):280-301. doi:<a href=\"https://doi.org/10.1080/10586458.2019.1618756\">10.1080/10586458.2019.1618756</a>"},"intvolume":"        31","date_updated":"2023-07-04T08:29:22Z","publication_status":"published","publication_identifier":{"issn":["1058-6458","1944-950X"]},"author":[{"id":"82258","last_name":"Kirschmer","first_name":"Markus","full_name":"Kirschmer, Markus"},{"first_name":"Gabriele","last_name":"Nebe","full_name":"Nebe, Gabriele"}],"year":"2022","title":"Binary Hermitian Lattices over Number Fields","doi":"10.1080/10586458.2019.1618756","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"In a previous paper the authors developed an algorithm to classify certain quaternary quadratic lattices over totally real fields. The present article applies this algorithm to the classification of binary Hermitian lattices over totally imaginary fields. We use it in particular to classify the 48-dimensional extremal even unimodular lattices over the integers that admit a semilarge automorphism."}],"publication":"Experimental Mathematics","issue":"1","department":[{"_id":"102"}],"keyword":["General Mathematics"],"type":"journal_article","date_created":"2023-07-04T08:28:04Z"},{"citation":{"mla":"Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 61, no. 3, 96, Springer Science and Business Media LLC, 2022, doi:<a href=\"https://doi.org/10.1007/s00526-022-02201-y\">10.1007/s00526-022-02201-y</a>.","ama":"Black T, Wu C. Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. <i>Calculus of Variations and Partial Differential Equations</i>. 2022;61(3). doi:<a href=\"https://doi.org/10.1007/s00526-022-02201-y\">10.1007/s00526-022-02201-y</a>","bibtex":"@article{Black_Wu_2022, title={Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation}, volume={61}, DOI={<a href=\"https://doi.org/10.1007/s00526-022-02201-y\">10.1007/s00526-022-02201-y</a>}, number={396}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2022} }","apa":"Black, T., &#38; Wu, C. (2022). Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. <i>Calculus of Variations and Partial Differential Equations</i>, <i>61</i>(3), Article 96. <a href=\"https://doi.org/10.1007/s00526-022-02201-y\">https://doi.org/10.1007/s00526-022-02201-y</a>","ieee":"T. Black and C. Wu, “Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation,” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 61, no. 3, Art. no. 96, 2022, doi: <a href=\"https://doi.org/10.1007/s00526-022-02201-y\">10.1007/s00526-022-02201-y</a>.","chicago":"Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” <i>Calculus of Variations and Partial Differential Equations</i> 61, no. 3 (2022). <a href=\"https://doi.org/10.1007/s00526-022-02201-y\">https://doi.org/10.1007/s00526-022-02201-y</a>.","short":"T. Black, C. Wu, Calculus of Variations and Partial Differential Equations 61 (2022)."},"_id":"34677","publisher":"Springer Science and Business Media LLC","user_id":"23686","volume":61,"status":"public","date_created":"2022-12-21T09:50:59Z","type":"journal_article","keyword":["Applied Mathematics","Analysis"],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Calculus of Variations and Partial Differential Equations","issue":"3","article_number":"96","language":[{"iso":"eng"}],"doi":"10.1007/s00526-022-02201-y","title":"Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation","year":"2022","publication_identifier":{"issn":["0944-2669","1432-0835"]},"author":[{"first_name":"Tobias","orcid":"0000-0001-9963-0800","last_name":"Black","full_name":"Black, Tobias","id":"23686"},{"full_name":"Wu, Chunyan","first_name":"Chunyan","last_name":"Wu"}],"publication_status":"published","date_updated":"2023-07-10T11:37:27Z","intvolume":"        61"},{"publisher":"AIMS","_id":"19941","page":"447 - 471","volume":14,"ddc":["510"],"user_id":"85279","status":"public","has_accepted_license":"1","external_id":{"arxiv":["2006.14172"]},"oa":"1","citation":{"mla":"McLachlan, Robert I., and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial  Differential Equations.” <i>Journal of Geometric Mechanics</i>, vol. 14, no. 3, AIMS, 2022, pp. 447–71, doi:<a href=\"https://doi.org/10.3934/jgm.2022014\">10.3934/jgm.2022014</a>.","bibtex":"@article{McLachlan_Offen_2022, title={Backward error analysis for variational discretisations of partial  differential equations}, volume={14}, DOI={<a href=\"https://doi.org/10.3934/jgm.2022014\">10.3934/jgm.2022014</a>}, number={3}, journal={Journal of Geometric Mechanics}, publisher={AIMS}, author={McLachlan, Robert I and Offen, Christian}, year={2022}, pages={447–471} }","ama":"McLachlan RI, Offen C. Backward error analysis for variational discretisations of partial  differential equations. <i>Journal of Geometric Mechanics</i>. 2022;14(3):447-471. doi:<a href=\"https://doi.org/10.3934/jgm.2022014\">10.3934/jgm.2022014</a>","ieee":"R. I. McLachlan and C. Offen, “Backward error analysis for variational discretisations of partial  differential equations,” <i>Journal of Geometric Mechanics</i>, vol. 14, no. 3, pp. 447–471, 2022, doi: <a href=\"https://doi.org/10.3934/jgm.2022014\">10.3934/jgm.2022014</a>.","apa":"McLachlan, R. I., &#38; Offen, C. (2022). Backward error analysis for variational discretisations of partial  differential equations. <i>Journal of Geometric Mechanics</i>, <i>14</i>(3), 447–471. <a href=\"https://doi.org/10.3934/jgm.2022014\">https://doi.org/10.3934/jgm.2022014</a>","short":"R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.","chicago":"McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial  Differential Equations.” <i>Journal of Geometric Mechanics</i> 14, no. 3 (2022): 447–71. <a href=\"https://doi.org/10.3934/jgm.2022014\">https://doi.org/10.3934/jgm.2022014</a>."},"file_date_updated":"2022-06-13T09:11:38Z","language":[{"iso":"eng"}],"doi":"10.3934/jgm.2022014","author":[{"last_name":"McLachlan","first_name":"Robert I","full_name":"McLachlan, Robert I"},{"full_name":"Offen, Christian","orcid":"https://orcid.org/0000-0002-5940-8057","last_name":"Offen","first_name":"Christian","id":"85279"}],"year":"2022","title":"Backward error analysis for variational discretisations of partial  differential equations","intvolume":"        14","article_type":"original","date_updated":"2023-08-10T08:44:55Z","publication_status":"published","date_created":"2020-10-06T16:33:19Z","file":[{"creator":"coffen","date_created":"2022-06-13T09:11:38Z","description":"In backward error analysis, an approximate solution to an equa-\ntion is compared to the exact solution to a nearby ‘modified’ equation. In\nnumerical ordinary differential equations, the two agree up to any power of\nthe step size. If the differential equation has a geometric property then the\nmodified equation may share it. In this way, known properties of differential\nequations can be applied to the approximation. But for partial differential\nequations, the known modified equations are of higher order, limiting appli-\ncability of the theory. Therefore, we study symmetric solutions of discretized\npartial differential equations that arise from a discrete variational principle.\nThese symmetric solutions obey infinite-dimensional functional equations. We\nshow that these equations admit second-order modified equations which are\nHamiltonian and also possess first-order Lagrangians in modified coordinates.\nThe modified equation and its associated structures are computed explicitly\nfor the case of rotating travelling waves in the nonlinear wave equation.","access_level":"open_access","file_size":1507248,"file_name":"2_BlendedBEASymmPDE.pdf","date_updated":"2022-06-13T09:11:38Z","relation":"main_file","content_type":"application/pdf","file_id":"31859","title":"Backward error analysis for variational discretisations of PDEs"}],"department":[{"_id":"636"}],"type":"journal_article","publication":"Journal of Geometric Mechanics","issue":"3","abstract":[{"lang":"eng","text":"In backward error analysis, an approximate solution to an equation is compared to the exact solution to a nearby ‘modified’ equation. In numerical ordinary differential equations, the two agree up to any power of the step size. If the differential equation has a geometric property then the modified equation may share it. In this way, known properties of differential equations can be applied to the approximation. But for partial differential equations, the known modified equations are of higher order, limiting applicability of the theory. Therefore, we study symmetric solutions of discretized\r\npartial differential equations that arise from a discrete variational principle. These symmetric solutions obey infinite-dimensional functional equations. We show that these equations admit second-order modified equations which are Hamiltonian and also possess first-order Lagrangians in modified coordinates. The modified equation and its associated structures are computed explicitly for the case of rotating travelling waves in the nonlinear wave equation."}],"related_material":{"link":[{"relation":"software","url":"https://github.com/Christian-Offen/multisymplectic"}]}},{"language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://aip.scitation.org/doi/abs/10.1063/5.0065913"}],"doi":"10.1063/5.0065913","author":[{"full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","first_name":"Christian","last_name":"Offen","id":"85279"},{"id":"16494","first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina"}],"year":"2022","title":"Symplectic integration of learned Hamiltonian systems","article_type":"original","publication_status":"published","date_updated":"2023-08-10T08:48:14Z","date_created":"2021-08-11T08:24:02Z","file":[{"content_type":"application/pdf","file_id":"28734","date_updated":"2021-12-13T14:56:15Z","relation":"main_file","file_size":2285059,"access_level":"open_access","file_name":"SymplecticShadowIntegration_AIP.pdf","date_created":"2021-12-13T14:56:15Z","creator":"coffen"}],"department":[{"_id":"636"}],"type":"journal_article","publication":"Chaos: An Interdisciplinary Journal of Nonlinear Science","related_material":{"link":[{"url":"https://github.com/Christian-Offen/symplectic-shadow-integration","relation":"software","description":"GitHub"}]},"abstract":[{"lang":"eng","text":"Hamiltonian systems are differential equations which describe systems in classical mechanics, plasma physics, and sampling problems. They exhibit many structural properties, such as a lack of attractors and the presence of conservation laws. To predict Hamiltonian dynamics based on discrete trajectory observations, incorporation of prior knowledge about Hamiltonian structure greatly improves predictions. This is typically done by learning the system's Hamiltonian and then integrating the Hamiltonian vector field with a symplectic integrator. For this, however, Hamiltonian data needs to be approximated based on the trajectory observations. Moreover, the numerical integrator introduces an additional discretisation error. In this paper, we show that an inverse modified Hamiltonian structure adapted to the geometric integrator can be learned directly from observations. A separate approximation step for the Hamiltonian data avoided. The inverse modified data compensates for the discretisation error such that the discretisation error is eliminated. The technique is developed for Gaussian Processes."}],"publisher":"AIP","_id":"23382","volume":"32(1)","user_id":"85279","ddc":["510"],"status":"public","has_accepted_license":"1","external_id":{"arxiv":["2108.02492"]},"oa":"1","citation":{"bibtex":"@article{Offen_Ober-Blöbaum_2022, title={Symplectic integration of learned Hamiltonian systems}, volume={32(1)}, DOI={<a href=\"https://doi.org/10.1063/5.0065913\">10.1063/5.0065913</a>}, journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, publisher={AIP}, author={Offen, Christian and Ober-Blöbaum, Sina}, year={2022} }","chicago":"Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i> 32(1) (2022). <a href=\"https://doi.org/10.1063/5.0065913\">https://doi.org/10.1063/5.0065913</a>.","short":"C. Offen, S. Ober-Blöbaum, Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022).","ama":"Offen C, Ober-Blöbaum S. Symplectic integration of learned Hamiltonian systems. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. 2022;32(1). doi:<a href=\"https://doi.org/10.1063/5.0065913\">10.1063/5.0065913</a>","ieee":"C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian systems,” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, vol. 32(1), 2022, doi: <a href=\"https://doi.org/10.1063/5.0065913\">10.1063/5.0065913</a>.","mla":"Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, vol. 32(1), AIP, 2022, doi:<a href=\"https://doi.org/10.1063/5.0065913\">10.1063/5.0065913</a>.","apa":"Offen, C., &#38; Ober-Blöbaum, S. (2022). Symplectic integration of learned Hamiltonian systems. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, <i>32(1)</i>. <a href=\"https://doi.org/10.1063/5.0065913\">https://doi.org/10.1063/5.0065913</a>"},"file_date_updated":"2021-12-13T14:56:15Z","quality_controlled":"1"},{"user_id":"85820","language":[{"iso":"eng"}],"_id":"40613","date_updated":"2023-08-15T06:04:03Z","title":"Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen","status":"public","year":"2022","author":[{"id":"85820","first_name":"Jennifer","last_name":"Dröse","full_name":"Dröse, Jennifer"}],"type":"conference","department":[{"_id":"98"}],"date_created":"2023-01-27T19:00:01Z","publication":"Beiträge zum Mathematikunterricht","citation":{"mla":"Dröse, Jennifer. “Verstehensgrundlagen Diagnostizieren - Diagnostisches Denken von Drei Professionalisierungsgruppen.” <i>Beiträge Zum Mathematikunterricht</i>, 2022.","bibtex":"@inproceedings{Dröse_2022, title={Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen}, booktitle={Beiträge zum Mathematikunterricht}, author={Dröse, Jennifer}, year={2022} }","ama":"Dröse J. Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen. In: <i>Beiträge Zum Mathematikunterricht</i>. ; 2022.","ieee":"J. Dröse, “Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen,” 2022.","apa":"Dröse, J. (2022). Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen. <i>Beiträge Zum Mathematikunterricht</i>.","chicago":"Dröse, Jennifer. “Verstehensgrundlagen Diagnostizieren - Diagnostisches Denken von Drei Professionalisierungsgruppen.” In <i>Beiträge Zum Mathematikunterricht</i>, 2022.","short":"J. Dröse, in: Beiträge Zum Mathematikunterricht, 2022."}},{"conference":{"name":"56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","start_date":"29.08.2022","location":"Frankfurt am Main","end_date":"02.09.2022"},"author":[{"last_name":"Graf","first_name":"Lara Marie","full_name":"Graf, Lara Marie","id":"89837"},{"first_name":"Uta","last_name":"Häsel-Weide","full_name":"Häsel-Weide, Uta","id":"60267"},{"full_name":"Nührenbörger, Marcus","first_name":"Marcus","last_name":"Nührenbörger"},{"full_name":"Höveler, Karina","last_name":"Höveler","first_name":"Karina"}],"corporate_editor":["IDMI-Primar Goethe-Universität Frankfurt"],"status":"public","title":"Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen","year":"2022","date_updated":"2023-09-27T10:02:12Z","language":[{"iso":"eng"}],"_id":"47520","page":"773-776","user_id":"44184","citation":{"mla":"Graf, Lara Marie, et al. “Lernwege von Fachfremd Unterrichtenden Lehrkräften Zur Ablösung Vom Zählenden Rechnen.” <i>Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität Frankfurt, 2022, pp. 773–76.","bibtex":"@inproceedings{Graf_Häsel-Weide_Nührenbörger_Höveler_2022, title={Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen}, booktitle={Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, author={Graf, Lara Marie and Häsel-Weide, Uta and Nührenbörger, Marcus and Höveler, Karina}, editor={IDMI-Primar Goethe-Universität Frankfurt}, year={2022}, pages={773–776} }","ama":"Graf LM, Häsel-Weide U, Nührenbörger M, Höveler K. Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen. In: IDMI-Primar Goethe-Universität Frankfurt, ed. <i>Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>. ; 2022:773-776.","ieee":"L. M. Graf, U. Häsel-Weide, M. Nührenbörger, and K. Höveler, “Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen,” in <i>Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i>, Frankfurt am Main, 2022, pp. 773–776.","apa":"Graf, L. M., Häsel-Weide, U., Nührenbörger, M., &#38; Höveler, K. (2022). Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen. In IDMI-Primar Goethe-Universität Frankfurt (Ed.), <i>Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i> (pp. 773–776).","chicago":"Graf, Lara Marie, Uta Häsel-Weide, Marcus Nührenbörger, and Karina Höveler. “Lernwege von Fachfremd Unterrichtenden Lehrkräften Zur Ablösung Vom Zählenden Rechnen.” In <i>Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität Frankfurt, 773–76, 2022.","short":"L.M. Graf, U. Häsel-Weide, M. Nührenbörger, K. Höveler, in: IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, 2022, pp. 773–776."},"publication":"Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","date_created":"2023-09-27T10:01:52Z","department":[{"_id":"543"}],"type":"conference"},{"user_id":"44184","page":"401-404","language":[{"iso":"eng"}],"_id":"47519","date_updated":"2023-09-27T09:54:00Z","status":"public","title":"Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis","year":"2022","conference":{"location":"Frankfurt am Main","start_date":"29.08.2022","name":"56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","end_date":"02.09.2022"},"author":[{"full_name":"Schwerin, Imke","last_name":"Schwerin","first_name":"Imke","id":"48912"}],"corporate_editor":["IDMI-Primar Goethe-Universität Frankfurt"],"type":"conference","department":[{"_id":"543"}],"date_created":"2023-09-27T09:53:36Z","publication":"Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","citation":{"chicago":"Schwerin, Imke. “Verdoppeln Und Halbieren Im 2. Schuljahr - Vorgehensweisen Und Verständnis.” In <i>Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität Frankfurt, 401–4, 2022.","ama":"Schwerin I. Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis. In: IDMI-Primar Goethe-Universität Frankfurt, ed. <i>Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>. ; 2022:401-404.","short":"I. Schwerin, in: IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, 2022, pp. 401–404.","bibtex":"@inproceedings{Schwerin_2022, title={Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis}, booktitle={Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, author={Schwerin, Imke}, editor={IDMI-Primar Goethe-Universität Frankfurt}, year={2022}, pages={401–404} }","apa":"Schwerin, I. (2022). Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis. In IDMI-Primar Goethe-Universität Frankfurt (Ed.), <i>Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i> (pp. 401–404).","mla":"Schwerin, Imke. “Verdoppeln Und Halbieren Im 2. Schuljahr - Vorgehensweisen Und Verständnis.” <i>Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität Frankfurt, 2022, pp. 401–04.","ieee":"I. Schwerin, “Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis,” in <i>Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i>, Frankfurt am Main, 2022, pp. 401–404."}}]