@inproceedings{40312, author = {{Häsel-Weide, Uta and Nührenbörger, M.}}, booktitle = {{Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}}, editor = {{Hodgen, J. and Geraniou, E. and Bolondi, G. and Ferretti, F.}}, pages = {{1--8}}, title = {{{Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education}}}, year = {{2022}}, } @article{35479, author = {{Bellomo, Nicolas and Outada, Nisrine and Soler, Juan and Tao, Youshan and Winkler, Michael}}, journal = {{Mathematical Models & Methods in Applied Sciences}}, pages = {{713--792}}, title = {{{Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.}}}, volume = {{32}}, year = {{2022}}, } @article{35530, author = {{Lankeit, Johannes and Winkler, Michael}}, journal = {{Journal of Evolution Equations}}, title = {{{Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.}}}, volume = {{22}}, year = {{2022}}, } @article{35481, author = {{Fuhrmann, Jan and Lankeit, Johannes and Winkler, Michael}}, journal = {{Journal de Mathématiques Pures et Appliquées}}, pages = {{124--151}}, title = {{{A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.}}}, volume = {{162}}, year = {{2022}}, } @article{35565, author = {{Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}}, journal = {{Acta Mathematica Sinica (English Series)}}, pages = {{985--1001}}, title = {{{A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.}}}, volume = {{38}}, year = {{2022}}, } @article{35560, author = {{Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}}, journal = {{Analysis and Applications}}, pages = {{141--170}}, title = {{{Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.}}}, volume = {{20}}, year = {{2022}}, } @inbook{34413, author = {{Häsel-Weide, Uta and Wienhues, Inga and Kordes, L.}}, booktitle = {{Digitale Medien und Heterogenität – Chancen und Herausforderungen für die Mathematikdidaktik}}, editor = {{Bonow, J. and Dexel, T. and Rink, R. and Schreiber, Chr. and Walter, D.}}, pages = {{27--42}}, publisher = {{WTM-Verlag}}, title = {{{Multiplikative Beziehungen erkennen und nutzen – Initiierung von Lernprozessen durch Entdeckervideos}}}, year = {{2022}}, } @article{40053, author = {{Graczyk, P. and Luks, Tomasz and Sawyer, P.}}, issn = {{0008-414X}}, journal = {{Canadian Journal of Mathematics}}, number = {{4}}, pages = {{1005--1033}}, publisher = {{Canadian Mathematical Society}}, title = {{{Potential kernels for radial Dunkl Laplacians}}}, doi = {{10.4153/s0008414x21000195}}, volume = {{74}}, year = {{2022}}, } @article{35556, author = {{Tao, Youshan and Winkler, Michael}}, journal = {{Proceedings of the Royal Society of Edinburgh Section A: Mathematics}}, pages = {{81--101}}, title = {{{Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.}}}, volume = {{152}}, year = {{2022}}, } @article{35532, author = {{Li, Genglin and Winkler, Michael}}, journal = {{Communications on Pure and Applied Analysis}}, pages = {{687--784}}, title = {{{Nonnegative solutions to a doubly degenerate nutrient taxis system }}}, volume = {{21}}, year = {{2022}}, } @article{34839, abstract = {{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.}}, author = {{Klüners, Jürgen and Wang, Jiuya}}, issn = {{0002-9939}}, journal = {{Proceedings of the American Mathematical Society}}, keywords = {{Applied Mathematics, General Mathematics}}, number = {{7}}, pages = {{2793--2805}}, publisher = {{American Mathematical Society (AMS)}}, title = {{{ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group}}}, doi = {{10.1090/proc/15882}}, volume = {{150}}, year = {{2022}}, } @article{34835, abstract = {{We prove an upper bound for the asymptotics of counting functions of number fields with nilpotent Galois groups. }}, author = {{Klüners, Jürgen}}, issn = {{0065-1036}}, journal = {{Acta Arithmetica}}, keywords = {{Algebra and Number Theory}}, number = {{2}}, pages = {{165--184}}, publisher = {{Institute of Mathematics, Polish Academy of Sciences}}, title = {{{The asymptotics of nilpotent Galois groups}}}, doi = {{10.4064/aa211207-16-5}}, volume = {{204}}, year = {{2022}}, } @article{44328, abstract = {{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.}}, author = {{Burban, Igor and Drozd, Yu.}}, journal = {{Advances in Mathematics}}, title = {{{Morita theory for non-commutative noetherian schemes}}}, doi = {{10.1016/j.aim.2022.108273}}, volume = {{399}}, year = {{2022}}, } @article{44327, author = {{Burban, Igor and Peruzzi, A.}}, journal = {{Journal of Geometry and Physics}}, title = {{{On elliptic solutions of the associative Yang-Baxter equation}}}, volume = {{176}}, year = {{2022}}, } @article{44624, author = {{Faulwasser, Timm and Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Schaller, Manuel and Worthmann, Karl}}, journal = {{Mathematics of Control, Signals, and Systems}}, pages = {{759--788}}, publisher = {{Springer}}, title = {{{Manifold turnpikes, trims, and symmetries}}}, volume = {{34}}, year = {{2022}}, } @article{33741, abstract = {{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.}}, author = {{Cappello, Chiara and Steffen, Eckhard}}, issn = {{0218-0006}}, journal = {{Annals of Combinatorics}}, keywords = {{Discrete Mathematics and Combinatorics}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Symmetric Set Coloring of Signed Graphs}}}, doi = {{10.1007/s00026-022-00593-4}}, year = {{2022}}, } @article{33950, author = {{Cappello, Chiara and Steffen, Eckhard}}, issn = {{0166-218X}}, journal = {{Discrete Applied Mathematics}}, keywords = {{Applied Mathematics, Discrete Mathematics and Combinatorics}}, pages = {{183--193}}, publisher = {{Elsevier BV}}, title = {{{Frustration-critical signed graphs}}}, doi = {{10.1016/j.dam.2022.08.010}}, volume = {{322}}, year = {{2022}}, } @inproceedings{45679, author = {{Bruns, Julia and Reuter, D.}}, booktitle = {{Beiträge zum Mathematikunterricht 2022}}, publisher = {{WTM-Verlag}}, title = {{{„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?}}}, year = {{2022}}, } @inproceedings{45678, author = {{Bruns, Julia and Hagena, M. and Gasteiger, H.}}, booktitle = {{Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}}, editor = {{Hodgen, J. and Geraniou, E. and Bolondi, G. and Ferretti, F.}}, location = {{Free University of Bozen-Bolzano and ERME}}, title = {{{Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education}}}, year = {{2022}}, } @article{45677, author = {{Bruns, Julia and Langer, W. and Erhorn, J.}}, journal = {{German Journal of Exercise and Sport Research}}, number = {{3}}, pages = {{386–397}}, title = {{{Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht}}}, doi = {{10.1007/s12662-022-00807-0}}, volume = {{52}}, year = {{2022}}, }