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Ein Professionalisierungskonzept zur Verzahnung von Theorie und Praxis für den Mathematikunterricht der Primarstufe. <i>HLZ – Herausforderung Lehrer*innenbildung</i>. 2025;8(1):284–303.","ieee":"R. Herold-Blasius <i>et al.</i>, “Ein Professionalisierungskonzept zur Verzahnung von Theorie und Praxis für den Mathematikunterricht der Primarstufe,” <i>HLZ – Herausforderung Lehrer*innenbildung</i>, vol. 8, no. 1, pp. 284–303, 2025.","apa":"Herold-Blasius, R., Johanna, B., Herold, K., Gatzka, S., Götze, D., Krüger, U., &#38; Selter, C. (2025). Ein Professionalisierungskonzept zur Verzahnung von Theorie und Praxis für den Mathematikunterricht der Primarstufe. <i>HLZ – Herausforderung Lehrer*innenbildung</i>, <i>8</i>(1), 284–303.","chicago":"Herold-Blasius, Raja, Brandt Johanna, Katharina Herold, Stefanie Gatzka, Daniela Götze, Uta Krüger, and Christoph Selter. “Ein Professionalisierungskonzept zur Verzahnung von Theorie und Praxis für den Mathematikunterricht der Primarstufe.” <i>HLZ – Herausforderung Lehrer*innenbildung</i> 8, no. 1 (2025): 284–303.","short":"R. Herold-Blasius, B. Johanna, K. Herold, S. Gatzka, D. Götze, U. Krüger, C. Selter, HLZ – Herausforderung Lehrer*innenbildung 8 (2025) 284–303."},"file_date_updated":"2026-06-15T10:10:38Z","oa":"1","intvolume":"         8","date_updated":"2026-06-24T06:45:30Z","author":[{"id":"126182","full_name":"Herold-Blasius, Raja","last_name":"Herold-Blasius","first_name":"Raja"},{"full_name":"Johanna, Brandt","last_name":"Johanna","first_name":"Brandt"},{"full_name":"Herold, Katharina","first_name":"Katharina","last_name":"Herold"},{"last_name":"Gatzka","first_name":"Stefanie","full_name":"Gatzka, Stefanie"},{"full_name":"Götze, Daniela","first_name":"Daniela","last_name":"Götze"},{"first_name":"Uta","last_name":"Krüger","full_name":"Krüger, Uta"},{"full_name":"Selter, Christoph","first_name":"Christoph","last_name":"Selter"}],"title":"Ein Professionalisierungskonzept zur Verzahnung von Theorie und Praxis für den Mathematikunterricht der Primarstufe","year":"2025","language":[{"iso":"ger"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.11576/hlz-7624"}],"abstract":[{"lang":"ger","text":"Die aktuellen Ergebnisse nationaler und internationaler Vergleichsstudien zeigen, dass etwa 25 Prozent der Lernenden am Ende der Grund-schulzeit unzureichende mathematische Kompetenzen aufweisen, sodass ein Weiterlernen kaum möglich ist. Es wird daher gefordert, dass sich der Mathema-tikunterricht verstärkt einer verstehensorientierten Förderung arithmetischer Basis-kompetenzen widmen soll. Hierfür müssen Lehrkräfte allerdings sensibilisiert, weiter- und fortgebildet werden. In diesem Beitrag wird ein Professionalisierungs-konzept für den Mathematikunterricht der Primarstufe vorgestellt, welches im Rah-men des bundesweiten Projekts „Schule macht stark“ (kurz: SchuMaS) entstanden ist. Konzeptionell verzahnt es im Besonderen Theorie und Praxis: Es werden Fort-bildungen in Form von Fachnetzwerktreffen konzipiert und durch praxisnahe Kernbotschaften wird die Anbindung an die eigene Unterrichtspraxis ermöglicht. Darüber hinaus werden zu diesen Kernbotschaften passende Praxiserprobungen für die unterrichtliche Umsetzung bereitgestellt und so aufbereitet, dass sie auch für den Transfer ins Kollegium geeignet sind. Ferner werden zur vertiefenden Ausei-nandersetzung mit zentralen didaktischen Ideen onlinebasierte Selbstlernmodule zur Verfügung gestellt. Das Konzept wurde über drei Jahre (2021–2024) entwi-ckelt, erprobt und evaluiert. Die Evaluationsergebnisse zum Gesamtkonzept und den einzelnen Komponenten (Fachnetzwerktreffen, Praxiserprobung, onlineba-sierte Selbstlernmodule und Transfer ins Kollegium) werden abschließend darge-stellt und diskutiert."}],"publication":"HLZ – Herausforderung Lehrer*innenbildung","issue":"1","type":"journal_article","date_created":"2026-06-15T10:10:42Z","file":[{"file_id":"65887","content_type":"application/pdf","relation":"main_file","date_updated":"2026-06-15T10:10:38Z","file_name":"2025_HLZ_8_1_Herold-Blasius_et_al_Professionalisierungskonzept.pdf","file_size":1134107,"access_level":"open_access","date_created":"2026-06-15T10:10:38Z","creator":"rheroldb"}]},{"main_file_link":[{"open_access":"1","url":"https://www.waxmann.com/shop/download?tx_p2waxmann_download%5Baction%5D=download&tx_p2waxmann_download%5Bbuchnr%5D=200091&tx_p2waxmann_download%5Bcontroller%5D=Zeitschrift&cHash=e2b594f0813dcdfb31632135bc3d82ec"}],"language":[{"iso":"ger"}],"title":"Den Transfer ins Schulkollegium unterstützen Konzeptionelle Überlegungen und erste Befunde","year":"2025","author":[{"full_name":"Brandt, Johanna","last_name":"Brandt","first_name":"Johanna"},{"full_name":"Herold-Blasius, Raja","first_name":"Raja","last_name":"Herold-Blasius","id":"126182"},{"first_name":"Katharina","last_name":"Herold","full_name":"Herold, Katharina"},{"last_name":"Götze","first_name":"Daniela","full_name":"Götze, Daniela"},{"full_name":"Selter, Christoph","last_name":"Selter","first_name":"Christoph"}],"date_updated":"2026-06-24T07:05:03Z","file":[{"date_created":"2026-06-15T10:09:52Z","creator":"rheroldb","file_id":"65879","content_type":"application/pdf","file_name":"2025_Brandt et al_SchuMaS Sammelband II.pdf","file_size":2684106,"access_level":"open_access","relation":"main_file","date_updated":"2026-06-15T10:09:52Z"}],"date_created":"2026-06-15T10:09:54Z","type":"book_chapter","publication":"Gemeinsam Schule machen mit SchuMaS Wissenschaft und Praxis für starke Schulen in herausfordernden Lagen","page":"145–160","_id":"65878","publisher":"Waxmann","user_id":"126182","ddc":["510"],"editor":[{"full_name":"Maaz, Kai","first_name":"Kai","last_name":"Maaz"},{"first_name":"Alexandra","last_name":"Marx","full_name":"Marx, Alexandra"}],"status":"public","has_accepted_license":"1","oa":"1","file_date_updated":"2026-06-15T10:09:52Z","citation":{"ama":"Brandt J, Herold-Blasius R, Herold K, Götze D, Selter C. Den Transfer ins Schulkollegium unterstützen Konzeptionelle Überlegungen und erste Befunde. In: Maaz K, Marx A, eds. <i>Gemeinsam Schule machen mit SchuMaS Wissenschaft und Praxis für starke Schulen in herausfordernden Lagen</i>. Waxmann; 2025:145–160.","bibtex":"@inbook{Brandt_Herold-Blasius_Herold_Götze_Selter_2025, title={Den Transfer ins Schulkollegium unterstützen Konzeptionelle Überlegungen und erste Befunde}, booktitle={Gemeinsam Schule machen mit SchuMaS Wissenschaft und Praxis für starke Schulen in herausfordernden Lagen}, publisher={Waxmann}, author={Brandt, Johanna and Herold-Blasius, Raja and Herold, Katharina and Götze, Daniela and Selter, Christoph}, editor={Maaz, Kai and Marx, Alexandra}, year={2025}, pages={145–160} }","mla":"Brandt, Johanna, et al. “Den Transfer ins Schulkollegium unterstützen Konzeptionelle Überlegungen und erste Befunde.” <i>Gemeinsam Schule machen mit SchuMaS Wissenschaft und Praxis für starke Schulen in herausfordernden Lagen</i>, edited by Kai Maaz and Alexandra Marx, Waxmann, 2025, pp. 145–160.","short":"J. Brandt, R. Herold-Blasius, K. Herold, D. Götze, C. Selter, in: K. Maaz, A. 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Konkret werden Vaterunser-Parodien exemplarisch beleuchtet, die Sucht- und Genussmittel wie Alkohol und Kaffee oder die Freizeitbeschäftigung Fußball thematisieren, die Herrschaftskritik am Papst oder politischen Machthabern wie dem Kurfürsten von Sachsen oder Napoleon als Besatzer üben und die religiöse Bildung und daraus resultierende Kirchenkritik oder den Mangel religiöser Sprachfähigkeit offenlegen.","lang":"ger"}],"date_created":"2025-08-27T10:00:39Z","type":"dissertation"},{"date_updated":"2026-06-26T19:45:58Z","publication_status":"published","author":[{"last_name":"Breckner","first_name":"Anne","full_name":"Breckner, Anne","id":"24573"}],"publication_identifier":{"issn":["2569-880X","2569-8818"],"isbn":["9783658490065","9783658490072"]},"year":"2025","title":"Vaterunser-Parodien in Kontinuität und Wandel","alternative_title":["Theologische und kulturwissenschaftliche Analysen"],"doi":"10.1007/978-3-658-49007-2","language":[{"iso":"ger"}],"series_title":" pop.religion: lebensstil – kultur – theologie","main_file_link":[{"open_access":"1","url":"https://link.springer.com/book/10.1007/978-3-658-49007-2"}],"abstract":[{"text":"In diesem Open-Access-Buch werden anhand von Detailanalysen von Vaterunser-Parodien deren Relevanz für die Theologie als auch für die Gesellschaft im Verlauf der Jahrhunderte dargestellt, diskutiert und bewertet. Vaterunser-Parodien sind eine vielfältige Textgruppe, die seit dem Mittelalter bis in das 21. Jahrhundert häufig auftreten. Sie sind ein Ausdruck der populär-kulturellen Rezeption des Vaterunsers, eines der elementarsten und bekanntesten Gebete des Christentums. Die darin angesprochenen Themen zeigen u. a. die Verknüpfung von Politik und Religion, kommerziellen Interessen und Gemeinschaftsritualen, konfessionellen Gebetstraditionen und deren Transformation durch Humor und Verfremdung. Konkret werden Vaterunser-Parodien exemplarisch beleuchtet, die Sucht- und Genussmittel wie Alkohol und Kaffee oder die Freizeitbeschäftigung Fußball thematisieren, die Herrschaftskritik am Papst oder politischen Machthabern wie dem Kurfürsten von Sachsen oder Napoleon als Besatzer üben und die religiöse Bildung und daraus resultierende Kirchenkritik oder den Mangel religiöser Sprachfähigkeit offenlegen.","lang":"ger"}],"type":"book","date_created":"2025-08-27T10:00:41Z","status":"public","user_id":"24573","_id":"61040","publisher":"Springer Fachmedien Wiesbaden","citation":{"apa":"Breckner, A. (2025). <i>Vaterunser-Parodien in Kontinuität und Wandel</i>. Springer Fachmedien Wiesbaden. <a href=\"https://doi.org/10.1007/978-3-658-49007-2\">https://doi.org/10.1007/978-3-658-49007-2</a>","ieee":"A. Breckner, <i>Vaterunser-Parodien in Kontinuität und Wandel</i>. Wiesbaden: Springer Fachmedien Wiesbaden, 2025.","chicago":"Breckner, Anne. <i>Vaterunser-Parodien in Kontinuität und Wandel</i>.  pop.religion: lebensstil – kultur – theologie. Wiesbaden: Springer Fachmedien Wiesbaden, 2025. <a href=\"https://doi.org/10.1007/978-3-658-49007-2\">https://doi.org/10.1007/978-3-658-49007-2</a>.","short":"A. Breckner, Vaterunser-Parodien in Kontinuität und Wandel, Springer Fachmedien Wiesbaden, Wiesbaden, 2025.","mla":"Breckner, Anne. <i>Vaterunser-Parodien in Kontinuität und Wandel</i>. Springer Fachmedien Wiesbaden, 2025, doi:<a href=\"https://doi.org/10.1007/978-3-658-49007-2\">10.1007/978-3-658-49007-2</a>.","ama":"Breckner A. <i>Vaterunser-Parodien in Kontinuität und Wandel</i>. Springer Fachmedien Wiesbaden; 2025. doi:<a href=\"https://doi.org/10.1007/978-3-658-49007-2\">10.1007/978-3-658-49007-2</a>","bibtex":"@book{Breckner_2025, place={Wiesbaden}, series={ pop.religion: lebensstil – kultur – theologie}, title={Vaterunser-Parodien in Kontinuität und Wandel}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-49007-2\">10.1007/978-3-658-49007-2</a>}, publisher={Springer Fachmedien Wiesbaden}, author={Breckner, Anne}, year={2025}, collection={ pop.religion: lebensstil – kultur – theologie} }"},"oa":"1","place":"Wiesbaden"},{"citation":{"short":"A. Breckner, ZeKK Live - 45 Minuten Mit Dr. Yasemin El-Menouar, 2025.","chicago":"Breckner, Anne. <i>ZeKK Live - 45 Minuten Mit Dr. Yasemin El-Menouar</i>, 2025.","ieee":"A. Breckner, <i>ZeKK Live - 45 Minuten mit Dr. Yasemin El-Menouar</i>. 2025.","apa":"Breckner, A. (2025). <i>ZeKK Live - 45 Minuten mit Dr. Yasemin El-Menouar</i>.","bibtex":"@book{Breckner_2025, title={ZeKK Live - 45 Minuten mit Dr. Yasemin El-Menouar}, author={Breckner, Anne}, year={2025} }","ama":"Breckner A. <i>ZeKK Live - 45 Minuten Mit Dr. Yasemin El-Menouar</i>.; 2025.","mla":"Breckner, Anne. <i>ZeKK Live - 45 Minuten Mit Dr. Yasemin El-Menouar</i>. 2025."},"date_created":"2025-07-14T09:12:13Z","department":[{"_id":"550"}],"oa":"1","type":"misc","author":[{"id":"24573","last_name":"Breckner","first_name":"Anne","full_name":"Breckner, Anne"}],"year":"2025","title":"ZeKK Live - 45 Minuten mit Dr. Yasemin El-Menouar","status":"public","date_updated":"2026-06-26T19:46:14Z","language":[{"iso":"eng"}],"_id":"60601","main_file_link":[{"open_access":"1","url":"https://youtu.be/vferKLcUPEI?feature=shared"}],"user_id":"24573"},{"issue":"30","publication":"Zeitschrift für Wirtschaftsrecht (ZIP)","citation":{"bibtex":"@article{Bartlitz_2025, title={Missbrauch einer marktbeherrschenden Stellung durch Bevorzugung eigener Dienstleistungen}, volume={2025}, number={30}, journal={Zeitschrift für Wirtschaftsrecht (ZIP)}, publisher={Verlag Dr. Otto Schmitd, Köln}, author={Bartlitz, David}, year={2025}, pages={1772–1780} }","ama":"Bartlitz D. Missbrauch einer marktbeherrschenden Stellung durch Bevorzugung eigener Dienstleistungen. <i>Zeitschrift für Wirtschaftsrecht (ZIP)</i>. 2025;2025(30):1772-1780.","mla":"Bartlitz, David. “Missbrauch Einer Marktbeherrschenden Stellung Durch Bevorzugung Eigener Dienstleistungen.” <i>Zeitschrift Für Wirtschaftsrecht (ZIP)</i>, vol. 2025, no. 30, Verlag Dr. Otto Schmitd, Köln, 2025, pp. 1772–80.","short":"D. Bartlitz, Zeitschrift Für Wirtschaftsrecht (ZIP) 2025 (2025) 1772–1780.","chicago":"Bartlitz, David. “Missbrauch Einer Marktbeherrschenden Stellung Durch Bevorzugung Eigener Dienstleistungen.” <i>Zeitschrift Für Wirtschaftsrecht (ZIP)</i> 2025, no. 30 (2025): 1772–80.","ieee":"D. Bartlitz, “Missbrauch einer marktbeherrschenden Stellung durch Bevorzugung eigener Dienstleistungen,” <i>Zeitschrift für Wirtschaftsrecht (ZIP)</i>, vol. 2025, no. 30, pp. 1772–1780, 2025.","apa":"Bartlitz, D. (2025). Missbrauch einer marktbeherrschenden Stellung durch Bevorzugung eigener Dienstleistungen. <i>Zeitschrift Für Wirtschaftsrecht (ZIP)</i>, <i>2025</i>(30), 1772–1780."},"date_created":"2026-06-24T09:42:10Z","type":"journal_article","department":[{"_id":"845"}],"title":"Missbrauch einer marktbeherrschenden Stellung durch Bevorzugung eigener Dienstleistungen","year":"2025","status":"public","author":[{"last_name":"Bartlitz","first_name":"David","full_name":"Bartlitz, David"}],"date_updated":"2026-06-24T09:42:31Z","intvolume":"      2025","page":"1772-1780","main_file_link":[{"url":"https://www.juris.de/perma?d=jzs-ZIP-2025-30-002-1772"}],"_id":"66033","language":[{"iso":"eng"}],"publisher":"Verlag Dr. Otto Schmitd, Köln","user_id":"90186","volume":2025},{"user_id":"90186","page":"1-11","_id":"61851","language":[{"iso":"ger"}],"date_updated":"2026-06-24T08:39:07Z","year":"2025","title":"Wohlverhaltenspflichten nach § 63 Abs. 4, Abs. 5 WpHG (Product Governance)","status":"public","author":[{"orcid":"0000-0003-2967-8299 ","last_name":"Bartlitz","first_name":"David","full_name":"Bartlitz, David","id":"104560"}],"type":"journal_article","department":[{"_id":"845"}],"date_created":"2025-10-15T12:44:14Z","publication":"iff Infobrief","issue":"17","citation":{"bibtex":"@article{Bartlitz_2025, title={Wohlverhaltenspflichten nach § 63 Abs. 4, Abs. 5 WpHG (Product Governance)}, number={17}, journal={iff Infobrief}, author={Bartlitz, David}, year={2025}, pages={1–11} }","ama":"Bartlitz D. Wohlverhaltenspflichten nach § 63 Abs. 4, Abs. 5 WpHG (Product Governance). <i>iff Infobrief</i>. 2025;(17):1-11.","mla":"Bartlitz, David. “Wohlverhaltenspflichten nach § 63 Abs. 4, Abs. 5 WpHG (Product Governance).” <i>iff Infobrief</i>, no. 17, 2025, pp. 1–11.","chicago":"Bartlitz, David. “Wohlverhaltenspflichten nach § 63 Abs. 4, Abs. 5 WpHG (Product Governance).” <i>iff Infobrief</i>, no. 17 (2025): 1–11.","short":"D. Bartlitz, iff Infobrief (2025) 1–11.","ieee":"D. Bartlitz, “Wohlverhaltenspflichten nach § 63 Abs. 4, Abs. 5 WpHG (Product Governance),” <i>iff Infobrief</i>, no. 17, pp. 1–11, 2025.","apa":"Bartlitz, D. (2025). Wohlverhaltenspflichten nach § 63 Abs. 4, Abs. 5 WpHG (Product Governance). <i>iff Infobrief</i>, <i>17</i>, 1–11."}},{"publication_identifier":{"issn":["0021-7670","1565-8538"]},"author":[{"full_name":"Bruno, Tommaso","first_name":"Tommaso","last_name":"Bruno"},{"last_name":"Papageorgiou","first_name":"Effie","full_name":"Papageorgiou, Effie"}],"year":"2025","status":"public","title":"Pointwise convergence to initial data for some evolution equations on symmetric spaces","intvolume":"       157","date_updated":"2026-07-03T12:36:50Z","publication_status":"published","publisher":"Springer Science and Business Media LLC","_id":"63503","language":[{"iso":"eng"}],"page":"733-767","volume":157,"doi":"10.1007/s11854-025-0403-2","user_id":"100325","citation":{"bibtex":"@article{Bruno_Papageorgiou_2025, title={Pointwise convergence to initial data for some evolution equations on symmetric spaces}, volume={157}, DOI={<a href=\"https://doi.org/10.1007/s11854-025-0403-2\">10.1007/s11854-025-0403-2</a>}, number={2}, journal={Journal d’Analyse Mathématique}, publisher={Springer Science and Business Media LLC}, author={Bruno, Tommaso and Papageorgiou, Effie}, year={2025}, pages={733–767} }","ama":"Bruno T, Papageorgiou E. Pointwise convergence to initial data for some evolution equations on symmetric spaces. <i>Journal d’Analyse Mathématique</i>. 2025;157(2):733-767. doi:<a href=\"https://doi.org/10.1007/s11854-025-0403-2\">10.1007/s11854-025-0403-2</a>","mla":"Bruno, Tommaso, and Effie Papageorgiou. “Pointwise Convergence to Initial Data for Some Evolution Equations on Symmetric Spaces.” <i>Journal d’Analyse Mathématique</i>, vol. 157, no. 2, Springer Science and Business Media LLC, 2025, pp. 733–67, doi:<a href=\"https://doi.org/10.1007/s11854-025-0403-2\">10.1007/s11854-025-0403-2</a>.","short":"T. Bruno, E. Papageorgiou, Journal d’Analyse Mathématique 157 (2025) 733–767.","chicago":"Bruno, Tommaso, and Effie Papageorgiou. “Pointwise Convergence to Initial Data for Some Evolution Equations on Symmetric Spaces.” <i>Journal d’Analyse Mathématique</i> 157, no. 2 (2025): 733–67. <a href=\"https://doi.org/10.1007/s11854-025-0403-2\">https://doi.org/10.1007/s11854-025-0403-2</a>.","ieee":"T. Bruno and E. Papageorgiou, “Pointwise convergence to initial data for some evolution equations on symmetric spaces,” <i>Journal d’Analyse Mathématique</i>, vol. 157, no. 2, pp. 733–767, 2025, doi: <a href=\"https://doi.org/10.1007/s11854-025-0403-2\">10.1007/s11854-025-0403-2</a>.","apa":"Bruno, T., &#38; Papageorgiou, E. (2025). Pointwise convergence to initial data for some evolution equations on symmetric spaces. <i>Journal d’Analyse Mathématique</i>, <i>157</i>(2), 733–767. <a href=\"https://doi.org/10.1007/s11854-025-0403-2\">https://doi.org/10.1007/s11854-025-0403-2</a>"},"publication":"Journal d'Analyse Mathématique","issue":"2","date_created":"2026-01-06T09:40:00Z","type":"journal_article"},{"author":[{"full_name":"Baumeister, Barbara","last_name":"Baumeister","first_name":"Barbara"},{"id":"72064","first_name":"Igor","last_name":"Burban","full_name":"Burban, Igor"},{"full_name":"Neaime, Georges","last_name":"Neaime","first_name":"Georges"},{"last_name":"Schwabe","first_name":"Charly Merlin","full_name":"Schwabe, Charly Merlin","id":"103440"}],"title":"Non-crossing partitions for exceptional hereditary curves","status":"public","year":"2025","date_updated":"2026-07-06T07:56:11Z","_id":"63620","language":[{"iso":"eng"}],"user_id":"103440","citation":{"short":"B. Baumeister, I. Burban, G. Neaime, C.M. Schwabe, ArXiv:2512.01729 (2025).","chicago":"Baumeister, Barbara, Igor Burban, Georges Neaime, and Charly Merlin Schwabe. “Non-Crossing Partitions for Exceptional Hereditary Curves.” <i>ArXiv:2512.01729</i>, 2025.","apa":"Baumeister, B., Burban, I., Neaime, G., &#38; Schwabe, C. M. (2025). Non-crossing partitions for exceptional hereditary curves. In <i>arXiv:2512.01729</i>.","ieee":"B. Baumeister, I. Burban, G. Neaime, and C. M. Schwabe, “Non-crossing partitions for exceptional hereditary curves,” <i>arXiv:2512.01729</i>. 2025.","ama":"Baumeister B, Burban I, Neaime G, Schwabe CM. Non-crossing partitions for exceptional hereditary curves. <i>arXiv:251201729</i>. Published online 2025.","bibtex":"@article{Baumeister_Burban_Neaime_Schwabe_2025, title={Non-crossing partitions for exceptional hereditary curves}, journal={arXiv:2512.01729}, author={Baumeister, Barbara and Burban, Igor and Neaime, Georges and Schwabe, Charly Merlin}, year={2025} }","mla":"Baumeister, Barbara, et al. “Non-Crossing Partitions for Exceptional Hereditary Curves.” <i>ArXiv:2512.01729</i>, 2025."},"publication":"arXiv:2512.01729","abstract":[{"lang":"eng","text":"We introduce a new class of reflection groups associated with the canonical bilinear lattices of Lenzing, which we call reflection groups of canonical type. The main result of this work is a categorification of the corresponding poset of non-crossing partitions for any such group, realized via the poset of thick subcategories of the category of coherent sheaves on an exceptional hereditary curve generated by an exceptional sequence. A second principal result, essential for the categorification, is a proof of the transitivity of the Hurwitz action in these reflection groups."}],"date_created":"2026-01-15T09:37:34Z","external_id":{"arxiv":["2512.01729"]},"type":"preprint"},{"author":[{"full_name":"Coles, Desmond","last_name":"Coles","first_name":"Desmond"},{"id":"114697","full_name":"Ulirsch, Martin","last_name":"Ulirsch","first_name":"Martin"}],"year":"2025","status":"public","title":"Towards the tropicalization of reductive groups","date_updated":"2026-07-08T06:19:31Z","language":[{"iso":"eng"}],"_id":"66304","user_id":"82981","citation":{"mla":"Coles, Desmond, and Martin Ulirsch. “Towards the Tropicalization of Reductive Groups.” <i>ArXiv:2503.21654</i>, 2025.","bibtex":"@article{Coles_Ulirsch_2025, title={Towards the tropicalization of reductive groups}, journal={arXiv:2503.21654}, author={Coles, Desmond and Ulirsch, Martin}, year={2025} }","ama":"Coles D, Ulirsch M. Towards the tropicalization of reductive groups. <i>arXiv:250321654</i>. Published online 2025.","ieee":"D. Coles and M. Ulirsch, “Towards the tropicalization of reductive groups,” <i>arXiv:2503.21654</i>. 2025.","apa":"Coles, D., &#38; Ulirsch, M. (2025). Towards the tropicalization of reductive groups. In <i>arXiv:2503.21654</i>.","short":"D. Coles, M. Ulirsch, ArXiv:2503.21654 (2025).","chicago":"Coles, Desmond, and Martin Ulirsch. “Towards the Tropicalization of Reductive Groups.” <i>ArXiv:2503.21654</i>, 2025."},"publication":"arXiv:2503.21654","abstract":[{"text":"Let $G$ be a connected reductive algebraic group over an algebraically closed field of characteristic zero carrying the trivial valuation. In this article we discuss two candidates for what could be the tropicalization of $G$.\r\n  Our first suggestion is the extended affine building associated to $G$. This perspective makes makes use of Berkovich's embedding of the extended affine building into the Berkovich analytic space $G^{\\textrm{an}}$ and expands on work of Mumford by associating a toroidal bordification of $G$ to the choice of stacky fan in the building. We show that the natural retraction onto the building is compatible with the tropicalization map associated to a toroidal bordification.\r\n  Our second suggestion is a Weyl chamber of $G$, a special instance of spherical tropicalization, where we think of $G$ as a spherical $G\\times G$-variety with respect to left-right-multiplication. We show that the spherical tropicalization map may be identified with the toroidal tropicalization map associated to a wonderful compactification of $G$. This map also has a moduli-theoretic interpretation expanding on the compactifications of $G$ as moduli spaces of framed $\\mathbb{G}_m$-equivariant principal bundles on chains of projective lines introduced by Martens and Thaddeus.","lang":"eng"}],"date_created":"2026-07-08T06:19:22Z","external_id":{"arxiv":["2503.21654"]},"type":"preprint"},{"abstract":[{"lang":"eng","text":"We propose an elementary tropical analogue of a reductive group that combines the datum of a Weyl group and the tropicalization of a fixed maximal torus. For the classical groups, as well as $G_2$, these tropical reductive groups admit descriptions as tropical matrix groups that resemble their classical counterparts. Employing this perspective, we introduce tropical principal bundles on metric graphs and study their explicit presentations as pushforwards of line bundles along covers with symmetries and extra data. Our main result identifies the essential skeleton of the moduli space of semistable principal bundles on a Tate curve with its tropical analogue."}],"publication":"arXiv:2511.05422","citation":{"ama":"Gross A, Kuhrs A, Ulirsch M, Zakharov D. Tropical reductive groups and principal bundles on metric graphs. <i>arXiv:251105422</i>. Published online 2025.","bibtex":"@article{Gross_Kuhrs_Ulirsch_Zakharov_2025, title={Tropical reductive groups and principal bundles on metric graphs}, journal={arXiv:2511.05422}, author={Gross, Andreas and Kuhrs, Arne and Ulirsch, Martin and Zakharov, Dmitry}, year={2025} }","mla":"Gross, Andreas, et al. “Tropical Reductive Groups and Principal Bundles on Metric Graphs.” <i>ArXiv:2511.05422</i>, 2025.","short":"A. Gross, A. Kuhrs, M. Ulirsch, D. Zakharov, ArXiv:2511.05422 (2025).","chicago":"Gross, Andreas, Arne Kuhrs, Martin Ulirsch, and Dmitry Zakharov. “Tropical Reductive Groups and Principal Bundles on Metric Graphs.” <i>ArXiv:2511.05422</i>, 2025.","apa":"Gross, A., Kuhrs, A., Ulirsch, M., &#38; Zakharov, D. (2025). Tropical reductive groups and principal bundles on metric graphs. In <i>arXiv:2511.05422</i>.","ieee":"A. Gross, A. Kuhrs, M. Ulirsch, and D. Zakharov, “Tropical reductive groups and principal bundles on metric graphs,” <i>arXiv:2511.05422</i>. 2025."},"type":"preprint","external_id":{"arxiv":["2511.05422"]},"date_created":"2026-07-08T06:18:46Z","date_updated":"2026-07-08T06:19:02Z","year":"2025","status":"public","title":"Tropical reductive groups and principal bundles on metric graphs","author":[{"last_name":"Gross","first_name":"Andreas","full_name":"Gross, Andreas"},{"full_name":"Kuhrs, Arne","last_name":"Kuhrs","first_name":"Arne"},{"id":"114697","first_name":"Martin","last_name":"Ulirsch","full_name":"Ulirsch, Martin"},{"last_name":"Zakharov","first_name":"Dmitry","full_name":"Zakharov, Dmitry"}],"user_id":"82981","language":[{"iso":"eng"}],"_id":"66303"}]