--- _id: '59258' article_number: '44' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics & Optimization. 2025;91(2). doi:10.1007/s00245-025-10243-9 apa: Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics & Optimization, 91(2), Article 44. https://doi.org/10.1007/s00245-025-10243-9 bibtex: '@article{Winkler_2025, title={Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters}, volume={91}, DOI={10.1007/s00245-025-10243-9}, number={244}, journal={Applied Mathematics & Optimization}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }' chicago: Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics & Optimization 91, no. 2 (2025). https://doi.org/10.1007/s00245-025-10243-9. ieee: 'M. Winkler, “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters,” Applied Mathematics & Optimization, vol. 91, no. 2, Art. no. 44, 2025, doi: 10.1007/s00245-025-10243-9.' mla: Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics & Optimization, vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:10.1007/s00245-025-10243-9. short: M. Winkler, Applied Mathematics & Optimization 91 (2025). date_created: 2025-04-02T11:23:25Z date_updated: 2026-02-26T15:59:30Z department: - _id: '90' doi: 10.1007/s00245-025-10243-9 intvolume: ' 91' issue: '2' language: - iso: eng project: - _id: '245' name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)' publication: Applied Mathematics & Optimization publication_identifier: issn: - 0095-4616 - 1432-0606 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters type: journal_article user_id: '11829' volume: 91 year: '2025' ... --- _id: '64736' citation: ama: Frahm J, Glöckner H, Hilgert J, Olafsson G, eds. Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday. Vol 35.; 2025. apa: Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday. (2025). In J. Frahm, H. Glöckner, J. Hilgert, & G. Olafsson (Eds.), J. Lie Theory (Vol. 35, Issue 4). bibtex: '@book{Frahm_Glöckner_Hilgert_Olafsson_2025, title={Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday}, volume={35}, number={4}, journal={J. Lie Theory}, year={2025} }' chicago: Frahm, Jan, Helge Glöckner, Joachim Hilgert, and Gestur Olafsson, eds. Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday. J. Lie Theory. Vol. 35, 2025. ieee: J. Frahm, H. Glöckner, J. Hilgert, and G. Olafsson, Eds., Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday, vol. 35, no. 4. 2025. mla: Frahm, Jan, et al., editors. “Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday.” J. Lie Theory, vol. 35, no. 4, 2025. short: J. Frahm, H. Glöckner, J. Hilgert, G. Olafsson, eds., Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday, 2025. date_created: 2026-02-26T17:42:01Z date_updated: 2026-02-26T17:51:43Z department: - _id: '10' - _id: '87' - _id: '93' editor: - first_name: Jan full_name: Frahm, Jan last_name: Frahm - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Gestur full_name: Olafsson, Gestur last_name: Olafsson intvolume: ' 35' issue: '4' language: - iso: eng publication: J. Lie Theory quality_controlled: '1' status: public title: Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday type: journal_editor user_id: '178' volume: 35 year: '2025' ... --- _id: '64770' author: - first_name: Matthieu full_name: Pinaud, Matthieu last_name: Pinaud citation: ama: Pinaud M. Manifold of Mappings and Regularity Properties of Half-Lie Groups.; 2025. doi:10.17619/UNIPB/1-2211 apa: Pinaud, M. (2025). Manifold of mappings and regularity properties of half-Lie groups. https://doi.org/10.17619/UNIPB/1-2211 bibtex: '@book{Pinaud_2025, title={Manifold of mappings and regularity properties of half-Lie groups}, DOI={10.17619/UNIPB/1-2211}, author={Pinaud, Matthieu}, year={2025} }' chicago: Pinaud, Matthieu. Manifold of Mappings and Regularity Properties of Half-Lie Groups, 2025. https://doi.org/10.17619/UNIPB/1-2211. ieee: M. Pinaud, Manifold of mappings and regularity properties of half-Lie groups. 2025. mla: Pinaud, Matthieu. Manifold of Mappings and Regularity Properties of Half-Lie Groups. 2025, doi:10.17619/UNIPB/1-2211. short: M. Pinaud, Manifold of Mappings and Regularity Properties of Half-Lie Groups, 2025. date_created: 2026-02-26T21:58:22Z date_updated: 2026-02-26T21:58:36Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.17619/UNIPB/1-2211 language: - iso: eng main_file_link: - open_access: '1' url: https://nbn-resolving.org/urn:nbn:de:hbz:466:2-54221 oa: '1' status: public supervisor: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner title: Manifold of mappings and regularity properties of half-Lie groups type: dissertation user_id: '178' year: '2025' ... --- _id: '59794' abstract: - lang: eng text: The depth of networks plays a crucial role in the effectiveness of deep learning. However, the memory requirement for backpropagation scales linearly with the number of layers, which leads to memory bottlenecks during training. Moreover, deep networks are often unable to handle time-series data appearing at irregular intervals. These issues can be resolved by considering continuous-depth networks based on the neural ODE framework in combination with reversible integration methods that allow for variable time-steps. Reversibility of the method ensures that the memory requirement for training is independent of network depth, while variable time-steps are required for assimilating time-series data on irregular intervals. However, at present, there are no known higher-order reversible methods with this property. High-order methods are especially important when a high level of accuracy in learning is required or when small time-steps are necessary due to large errors in time integration of neural ODEs, for instance in context of complex dynamical systems such as Kepler systems and molecular dynamics. The requirement of small time-steps when using a low-order method can significantly increase the computational cost of training as well as inference. In this work, we present an approach for constructing high-order reversible methods that allow adaptive time-stepping. Our numerical tests show the advantages in computational speed when applied to the task of learning dynamical systems. author: - first_name: Sofya full_name: Maslovskaya, Sofya id: '87909' last_name: Maslovskaya - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: Christian full_name: Offen, Christian id: '85279' last_name: Offen orcid: 0000-0002-5940-8057 - first_name: Pranav full_name: Singh, Pranav last_name: Singh - first_name: Boris Edgar full_name: Wembe Moafo, Boris Edgar id: '95394' last_name: Wembe Moafo citation: ama: Maslovskaya S, Ober-Blöbaum S, Offen C, Singh P, Wembe Moafo BE. Adaptive higher order reversible integrators for memory efficient deep learning. Published online 2025. apa: Maslovskaya, S., Ober-Blöbaum, S., Offen, C., Singh, P., & Wembe Moafo, B. E. (2025). Adaptive higher order reversible integrators for memory efficient deep learning. bibtex: '@article{Maslovskaya_Ober-Blöbaum_Offen_Singh_Wembe Moafo_2025, title={Adaptive higher order reversible integrators for memory efficient deep learning}, author={Maslovskaya, Sofya and Ober-Blöbaum, Sina and Offen, Christian and Singh, Pranav and Wembe Moafo, Boris Edgar}, year={2025} }' chicago: Maslovskaya, Sofya, Sina Ober-Blöbaum, Christian Offen, Pranav Singh, and Boris Edgar Wembe Moafo. “Adaptive Higher Order Reversible Integrators for Memory Efficient Deep Learning,” 2025. ieee: S. Maslovskaya, S. Ober-Blöbaum, C. Offen, P. Singh, and B. E. Wembe Moafo, “Adaptive higher order reversible integrators for memory efficient deep learning.” 2025. mla: Maslovskaya, Sofya, et al. Adaptive Higher Order Reversible Integrators for Memory Efficient Deep Learning. 2025. short: S. Maslovskaya, S. Ober-Blöbaum, C. Offen, P. Singh, B.E. Wembe Moafo, (2025). date_created: 2025-05-05T09:25:28Z date_updated: 2025-09-30T15:16:09Z ddc: - '510' department: - _id: '636' external_id: arxiv: - '2410.09537' file: - access_level: closed content_type: application/pdf creator: sofyam date_created: 2025-05-05T09:28:02Z date_updated: 2025-05-05T09:28:02Z file_id: '59795' file_name: 2410.09537v2.pdf file_size: 1830758 relation: main_file success: 1 file_date_updated: 2025-05-05T09:28:02Z has_accepted_license: '1' language: - iso: eng status: public title: Adaptive higher order reversible integrators for memory efficient deep learning type: preprint user_id: '85279' year: '2025' ... --- _id: '61518' abstract: - lang: eng text: "Abstract\r\n Teacher professional development (TPD) is a crucial support mechanism for mathematics teachers. Strategies for implementing TPD include disseminating educative curriculum materials or conducting TPD courses. However, it remains unclear whether different implementations of the same TPD support mathematics teachers in distinct ways. This study investigated two implementations of the TPD EmMa-FS which focuses early mathematics education (EME) for German vocational school (VS) teachers who instruct prospective early childhood (EC) educators. One group of teachers received an in-person TPD course along with educative curriculum materials (n\r\n \ \r\n PM\r\n  = 26), whereas the other received only the educative curriculum materials (n\r\n \ \r\n M\r\n  = 15). The effects on VS teachers’ beliefs and knowledge concerning EME were examined using a t-test and repeated measures ANOVA. To assess how teachers in the different implementation groups made use of the TPD in their lesson planning, participants submitted hypothetical lesson sequences on early numeracy, which were analysed for instructional quality, covered content, and the visible implementation of the provided educative curriculum materials using qualitative content analysis. The results indicated that both TPD implementations positively affected VS teachers’ knowledge related to EME but not their beliefs. While the instructional quality of the lesson sequences varied across both groups, participants who received the TPD course appeared to use the educative curriculum materials more often and to cover more content." article_number: '8' author: - first_name: Alix full_name: Richter, Alix id: '93186' last_name: Richter - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 - first_name: Hedwig full_name: Gasteiger, Hedwig last_name: Gasteiger citation: ama: 'Richter A, Bruns J, Gasteiger H. Interaction- or Material-Centred Implementation of Teacher Professional Development: a Comparison of Teachers’ Competence Development and Potential Lesson Planning Lehrkräftefortbildung interaktions- oder materialzentriert implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung sowie der potentiellen Unterrichtsplanung von Lehrkräften. Journal für Mathematik-Didaktik. 2025;46(1). doi:10.1007/s13138-025-00259-7' apa: 'Richter, A., Bruns, J., & Gasteiger, H. (2025). Interaction- or Material-Centred Implementation of Teacher Professional Development: a Comparison of Teachers’ Competence Development and Potential Lesson Planning Lehrkräftefortbildung interaktions- oder materialzentriert implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung sowie der potentiellen Unterrichtsplanung von Lehrkräften. Journal Für Mathematik-Didaktik, 46(1), Article 8. https://doi.org/10.1007/s13138-025-00259-7' bibtex: '@article{Richter_Bruns_Gasteiger_2025, title={Interaction- or Material-Centred Implementation of Teacher Professional Development: a Comparison of Teachers’ Competence Development and Potential Lesson Planning Lehrkräftefortbildung interaktions- oder materialzentriert implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung sowie der potentiellen Unterrichtsplanung von Lehrkräften}, volume={46}, DOI={10.1007/s13138-025-00259-7}, number={18}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science and Business Media LLC}, author={Richter, Alix and Bruns, Julia and Gasteiger, Hedwig}, year={2025} }' chicago: 'Richter, Alix, Julia Bruns, and Hedwig Gasteiger. “Interaction- or Material-Centred Implementation of Teacher Professional Development: A Comparison of Teachers’ Competence Development and Potential Lesson Planning Lehrkräftefortbildung Interaktions- Oder Materialzentriert Implementieren: Ein Vergleich Hinsichtlich Der Kompetenzentwicklung Sowie Der Potentiellen Unterrichtsplanung von Lehrkräften.” Journal Für Mathematik-Didaktik 46, no. 1 (2025). https://doi.org/10.1007/s13138-025-00259-7.' ieee: 'A. Richter, J. Bruns, and H. Gasteiger, “Interaction- or Material-Centred Implementation of Teacher Professional Development: a Comparison of Teachers’ Competence Development and Potential Lesson Planning Lehrkräftefortbildung interaktions- oder materialzentriert implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung sowie der potentiellen Unterrichtsplanung von Lehrkräften,” Journal für Mathematik-Didaktik, vol. 46, no. 1, Art. no. 8, 2025, doi: 10.1007/s13138-025-00259-7.' mla: 'Richter, Alix, et al. “Interaction- or Material-Centred Implementation of Teacher Professional Development: A Comparison of Teachers’ Competence Development and Potential Lesson Planning Lehrkräftefortbildung Interaktions- Oder Materialzentriert Implementieren: Ein Vergleich Hinsichtlich Der Kompetenzentwicklung Sowie Der Potentiellen Unterrichtsplanung von Lehrkräften.” Journal Für Mathematik-Didaktik, vol. 46, no. 1, 8, Springer Science and Business Media LLC, 2025, doi:10.1007/s13138-025-00259-7.' short: A. Richter, J. Bruns, H. Gasteiger, Journal Für Mathematik-Didaktik 46 (2025). date_created: 2025-10-05T17:55:20Z date_updated: 2025-10-05T17:55:53Z department: - _id: '611' doi: 10.1007/s13138-025-00259-7 intvolume: ' 46' issue: '1' language: - iso: eng publication: Journal für Mathematik-Didaktik publication_identifier: issn: - 0173-5322 - 1869-2699 publication_status: published publisher: Springer Science and Business Media LLC status: public title: 'Interaction- or Material-Centred Implementation of Teacher Professional Development: a Comparison of Teachers’ Competence Development and Potential Lesson Planning Lehrkräftefortbildung interaktions- oder materialzentriert implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung sowie der potentiellen Unterrichtsplanung von Lehrkräften' type: journal_article user_id: '72183' volume: 46 year: '2025' ... --- _id: '61519' abstract: - lang: eng text: ' Zusammenfassung: Frühe mathematische Bildung, die ihren Ausgangspunkt in den (Spiel-)Situationen der Kindertagesstätte nimmt, kann breite mathematische Erfahrungen ermöglichen, wenn die (Spiel-)Situationen entsprechende Möglichkeiten bieten. Erste Studien weisen darauf hin, dass in diesen Situationen verschiedene mathematische Inhalte angesprochen werden können. Allerdings konzentrieren sich bisherige Studien auf ausgewählte Kontexte oder Inhaltsbereiche. Diese Studie zielt daher auf eine vertiefte Analyse der Gelegenheiten für mathematische Erfahrungen, die in verschiedenen (Spiel-)Situationen im Alltag der Kindertagesstätte entstehen können. Dazu wurde eine videobasierte Beobachtungsstudie mittels einer Action-Kamera in einer Kindertagesstätte durchgeführt. Die Ergebnisse zeigen, dass eine Vielfalt von mathematischen Inhalten in (Spiel-)Situationen in der Kindertagesstätte beobachtet werden kann, einzelne Inhalte jedoch nur in formellen Lernsituationen auftreten. ' alternative_title: - Analyse von Gelegenheiten zur frühen mathematischen Bildung im Alltag einer Kindertagesstätte author: - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 - first_name: Tessa full_name: Mette, Tessa last_name: Mette citation: ama: Bruns J, Mette T. Mathematik mit Kindern ausgehend von Spiel- und Routinesituationen in der Kindertagesstätte erkunden? Frühe Bildung. 2025;14(4):193-200. doi:10.1026/2191-9186/a000730 apa: Bruns, J., & Mette, T. (2025). Mathematik mit Kindern ausgehend von Spiel- und Routinesituationen in der Kindertagesstätte erkunden? Frühe Bildung, 14(4), 193–200. https://doi.org/10.1026/2191-9186/a000730 bibtex: '@article{Bruns_Mette_2025, title={Mathematik mit Kindern ausgehend von Spiel- und Routinesituationen in der Kindertagesstätte erkunden?}, volume={14}, DOI={10.1026/2191-9186/a000730}, number={4}, journal={Frühe Bildung}, publisher={Hogrefe Publishing Group}, author={Bruns, Julia and Mette, Tessa}, year={2025}, pages={193–200} }' chicago: 'Bruns, Julia, and Tessa Mette. “Mathematik mit Kindern ausgehend von Spiel- und Routinesituationen in der Kindertagesstätte erkunden?” Frühe Bildung 14, no. 4 (2025): 193–200. https://doi.org/10.1026/2191-9186/a000730.' ieee: 'J. Bruns and T. Mette, “Mathematik mit Kindern ausgehend von Spiel- und Routinesituationen in der Kindertagesstätte erkunden?,” Frühe Bildung, vol. 14, no. 4, pp. 193–200, 2025, doi: 10.1026/2191-9186/a000730.' mla: Bruns, Julia, and Tessa Mette. “Mathematik mit Kindern ausgehend von Spiel- und Routinesituationen in der Kindertagesstätte erkunden?” Frühe Bildung, vol. 14, no. 4, Hogrefe Publishing Group, 2025, pp. 193–200, doi:10.1026/2191-9186/a000730. short: J. Bruns, T. Mette, Frühe Bildung 14 (2025) 193–200. date_created: 2025-10-05T17:56:06Z date_updated: 2025-10-05T17:56:50Z department: - _id: '611' doi: 10.1026/2191-9186/a000730 intvolume: ' 14' issue: '4' language: - iso: ger page: 193-200 publication: Frühe Bildung publication_identifier: issn: - 2191-9186 - 2191-9194 publication_status: published publisher: Hogrefe Publishing Group status: public title: Mathematik mit Kindern ausgehend von Spiel- und Routinesituationen in der Kindertagesstätte erkunden? type: journal_article user_id: '72183' volume: 14 year: '2025' ... --- _id: '57472' abstract: - lang: eng text: In this paper we introduce, in a Hilbert space setting, a second order dynamical system with asymptotically vanishing damping and vanishing Tikhonov regularization that approaches a multiobjective optimization problem with convex and differentiable components of the objective function. Trajectory solutions are shown to exist in finite dimensions. We prove fast convergence of the function values, quantified in terms of a merit function. Based on the regime considered, we establish both weak and, in some cases, strong convergence of trajectory solutions toward a weak Pareto optimal solution. To achieve this, we apply Tikhonov regularization individually to each component of the objective function. This work extends results from single objective convex optimization into the multiobjective setting. author: - first_name: Radu Ioan full_name: Bot, Radu Ioan last_name: Bot - first_name: Konstantin full_name: Sonntag, Konstantin id: '56399' last_name: Sonntag orcid: https://orcid.org/0000-0003-3384-3496 citation: ama: Bot RI, Sonntag K. Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization. Journal of Mathematical Analysis and Applications. Published online 2025. apa: Bot, R. I., & Sonntag, K. (2025). Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization. Journal of Mathematical Analysis and Applications. bibtex: '@article{Bot_Sonntag_2025, title={Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization}, journal={Journal of Mathematical Analysis and Applications}, author={Bot, Radu Ioan and Sonntag, Konstantin}, year={2025} }' chicago: Bot, Radu Ioan, and Konstantin Sonntag. “Inertial Dynamics with Vanishing Tikhonov Regularization for Multobjective Optimization.” Journal of Mathematical Analysis and Applications, 2025. ieee: R. I. Bot and K. Sonntag, “Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization,” Journal of Mathematical Analysis and Applications, 2025. mla: Bot, Radu Ioan, and Konstantin Sonntag. “Inertial Dynamics with Vanishing Tikhonov Regularization for Multobjective Optimization.” Journal of Mathematical Analysis and Applications, 2025. short: R.I. Bot, K. Sonntag, Journal of Mathematical Analysis and Applications (2025). date_created: 2024-11-28T08:58:17Z date_updated: 2025-10-16T11:56:36Z ddc: - '510' department: - _id: '101' - _id: '530' - _id: '655' external_id: arxiv: - '2411.18422' file: - access_level: open_access content_type: application/pdf creator: sonntagk date_created: 2024-11-28T08:58:00Z date_updated: 2024-11-28T08:58:00Z file_id: '57473' file_name: Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization.pdf file_size: 4291134 relation: main_file file_date_updated: 2024-11-28T08:58:00Z has_accepted_license: '1' keyword: - Pareto optimization - Lyapunov analysis - gradient-like dynamical systems - inertial dynamics - asymptotic vanishing damping - Tikhonov regularization - strong convergence language: - iso: eng main_file_link: - url: https://arxiv.org/pdf/2411.18422 oa: '1' publication: Journal of Mathematical Analysis and Applications status: public title: Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization type: journal_article user_id: '56399' year: '2025' ... --- _id: '62283' author: - first_name: Sebastian full_name: Rezat, Sebastian id: '31132' last_name: Rezat - first_name: Nadja full_name: Doligkeit, Nadja last_name: Doligkeit citation: ama: 'Rezat S, Doligkeit N. Zahlenmuster und Brüche: Eine Lernumgebung zum algebraischen Denken. mathematik lehren. 2025;(252):16–22.' apa: 'Rezat, S., & Doligkeit, N. (2025). Zahlenmuster und Brüche: Eine Lernumgebung zum algebraischen Denken. mathematik lehren, 252, 16–22.' bibtex: '@article{Rezat_Doligkeit_2025, title={Zahlenmuster und Brüche: Eine Lernumgebung zum algebraischen Denken}, number={252}, journal={mathematik lehren}, author={Rezat, Sebastian and Doligkeit, Nadja}, year={2025}, pages={16–22} }' chicago: 'Rezat, Sebastian, and Nadja Doligkeit. “Zahlenmuster und Brüche: Eine Lernumgebung zum algebraischen Denken.” mathematik lehren, no. 252 (2025): 16–22.' ieee: 'S. Rezat and N. Doligkeit, “Zahlenmuster und Brüche: Eine Lernumgebung zum algebraischen Denken,” mathematik lehren, no. 252, pp. 16–22, 2025.' mla: 'Rezat, Sebastian, and Nadja Doligkeit. “Zahlenmuster und Brüche: Eine Lernumgebung zum algebraischen Denken.” mathematik lehren, no. 252, 2025, pp. 16–22.' short: S. Rezat, N. Doligkeit, mathematik lehren (2025) 16–22. date_created: 2025-11-21T16:25:49Z date_updated: 2025-11-21T16:26:27Z department: - _id: '360' issue: '252' language: - iso: ger page: 16–22 publication: mathematik lehren publication_status: published status: public title: 'Zahlenmuster und Brüche: Eine Lernumgebung zum algebraischen Denken' type: journal_article user_id: '31132' year: '2025' ... --- _id: '62645' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide orcid: 0000-0001-6278-4240 - first_name: Marcus full_name: Nührenbörger, Marcus last_name: Nührenbörger citation: ama: 'Häsel-Weide U, Nührenbörger M. Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren von Mathematik in der Grundschule. In: Cramer C, König J, Rothland M, eds. Handbuch Lehrerinnen- und Lehrerbildung. 2nd ed. Klinkhardt; 2025:549-555. doi:10.35468/hblb2025-070' apa: Häsel-Weide, U., & Nührenbörger, M. (2025). Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren von Mathematik in der Grundschule. In C. Cramer, J. König, & M. Rothland (Eds.), Handbuch Lehrerinnen- und Lehrerbildung (2nd ed., pp. 549–555). Klinkhardt. https://doi.org/10.35468/hblb2025-070 bibtex: '@inbook{Häsel-Weide_Nührenbörger_2025, edition={2}, title={ Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren von Mathematik in der Grundschule}, DOI={10.35468/hblb2025-070}, booktitle={Handbuch Lehrerinnen- und Lehrerbildung}, publisher={Klinkhardt}, author={Häsel-Weide, Uta and Nührenbörger, Marcus}, editor={Cramer, C. and König, J. and Rothland, M.}, year={2025}, pages={549–555} }' chicago: Häsel-Weide, Uta, and Marcus Nührenbörger. “ Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren von Mathematik in der Grundschule.” In Handbuch Lehrerinnen- und Lehrerbildung, edited by C. Cramer, J. König, and M. Rothland, 2nd ed., 549–55. Klinkhardt, 2025. https://doi.org/10.35468/hblb2025-070. ieee: U. Häsel-Weide and M. Nührenbörger, “ Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren von Mathematik in der Grundschule,” in Handbuch Lehrerinnen- und Lehrerbildung, 2nd ed., C. Cramer, J. König, and M. Rothland, Eds. Klinkhardt, 2025, pp. 549–555. mla: Häsel-Weide, Uta, and Marcus Nührenbörger. “ Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren von Mathematik in der Grundschule.” Handbuch Lehrerinnen- und Lehrerbildung, edited by C. Cramer et al., 2nd ed., Klinkhardt, 2025, pp. 549–55, doi:10.35468/hblb2025-070. short: 'U. Häsel-Weide, M. Nührenbörger, in: C. Cramer, J. König, M. Rothland (Eds.), Handbuch Lehrerinnen- und Lehrerbildung, 2nd ed., Klinkhardt, 2025, pp. 549–555.' date_created: 2025-11-27T10:53:30Z date_updated: 2025-11-27T10:53:52Z department: - _id: '543' doi: 10.35468/hblb2025-070 edition: '2' editor: - first_name: C. full_name: Cramer, C. last_name: Cramer - first_name: J. full_name: König, J. last_name: König - first_name: M. full_name: Rothland, M. last_name: Rothland language: - iso: ger page: 549-555 publication: Handbuch Lehrerinnen- und Lehrerbildung publisher: Klinkhardt status: public title: ' Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren von Mathematik in der Grundschule' type: book_chapter user_id: '44184' year: '2025' ... --- _id: '62750' abstract: - lang: eng text: 'Diese Dissertation enthält Beiträge zum Bereich der Mehrzieloptimierung mit einem Fokus auf unbeschränkten Problemen, die auf einem allgemeinen Hilbertraum definiert sind. Für Mehrzieloptimierungsprobleme mit lokal Lipschitz-stetigen Zielfunktionen definieren wir ein multikriterielles Subdifferential, das wir erstmals im Kontext allgemeiner Hilberträume analysieren. Aufbauend auf diesen theoretischen Untersuchungen präsentieren wir ein Abstiegsverfahren, bei welchem in jeder Iteration eine Abstiegsrichtung mittels einer numerischen Approximation des multikriteriellen Subdifferentials bestimmt wird. Im Kontext konvexer, stetig differenzierbarer Zielfunktionen mit Lipschitz-stetigen Gradienten, führen wir eine Familie von dynamischen Gradientensystemen mit Trägheitsterm ein, die bekannte kontinuierliche Systeme aus der skalaren Optimierung verallgemeinern. Wir stellen drei neue Systeme vor: eines mit konstanter Dämpfung, eines mit asymptotisch abnehmender Dämpfung und eines, das zusätzlich eine zeitabhängige Tikhonov-Regularisierung beinhaltet. Aufbauend auf den Untersuchungen der neuen dynamischen Gradientensysteme, entwickeln wir ein beschleunigtes Gradientenverfahren zur Mehrzieloptimierung, das auf einer Diskretisierung des multikriteriellen Gradientensystems mit asymptotisch abnehmender Dämpfung beruht. Das hergeleitete Verfahren bewahrt die günstigen Konvergenzeigenschaften des kontinuierlichen Systems und erreicht eine schnellere Konvergenz als klassische Verfahren.' - lang: eng text: 'This dissertation contributes to the field of multiobjective optimization, with a focus on unconstrained problems formulated in a general Hilbert space. For multiobjective optimization problems with locally Lipschitz continuous objective functions, we define a multiobjective subdifferential, which we analyze for the first time in the context of general Hilbert spaces. Building on these theoretical investigations, we present a descent method in which, at each iteration, a descent direction is determined via a numerical approximation of the multiobjective subdifferential. In the setting of convex, continuously differentiable objective functions with Lipschitz continuous gradients, we introduce a family of inertial gradient dynamical systems that generalize well-known continuous-time systems from scalar optimization. We present three novel systems: one with constant damping, one with asymptotic vanishing damping, and one combining vanishing damping with time-dependent Tikhonov regularization. Building on the investigation of the novel gradient dynamical systems, we develop an accelerated gradient method for multiobjective optimization via discretization of the multiobjective gradient system with asymptotic vanishing damping. The proposed method retains the favorable convergence properties of the continuous system while achieving faster convergence than standard approaches, such as classical methods.' author: - first_name: Konstantin full_name: Sonntag, Konstantin id: '56399' last_name: Sonntag orcid: https://orcid.org/0000-0003-3384-3496 citation: ama: Sonntag K. First-Order Methods and Gradient Dynamical Systems for Multiobjective Optimization. Paderborn University; 2025. doi:10.17619/UNIPB/1-2457 apa: Sonntag, K. (2025). First-order methods and gradient dynamical systems for multiobjective optimization. Paderborn University. https://doi.org/10.17619/UNIPB/1-2457 bibtex: '@book{Sonntag_2025, title={First-order methods and gradient dynamical systems for multiobjective optimization}, DOI={10.17619/UNIPB/1-2457}, publisher={Paderborn University}, author={Sonntag, Konstantin}, year={2025} }' chicago: Sonntag, Konstantin. First-Order Methods and Gradient Dynamical Systems for Multiobjective Optimization. Paderborn University, 2025. https://doi.org/10.17619/UNIPB/1-2457. ieee: K. Sonntag, First-order methods and gradient dynamical systems for multiobjective optimization. Paderborn University, 2025. mla: Sonntag, Konstantin. First-Order Methods and Gradient Dynamical Systems for Multiobjective Optimization. Paderborn University, 2025, doi:10.17619/UNIPB/1-2457. short: K. Sonntag, First-Order Methods and Gradient Dynamical Systems for Multiobjective Optimization, Paderborn University, 2025. date_created: 2025-12-03T06:55:01Z date_updated: 2025-12-03T07:04:36Z ddc: - '510' department: - _id: '101' - _id: '530' doi: 10.17619/UNIPB/1-2457 has_accepted_license: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://digital.ub.uni-paderborn.de/hs/download/pdf/8141881 oa: '1' publisher: Paderborn University status: public supervisor: - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum title: First-order methods and gradient dynamical systems for multiobjective optimization type: dissertation user_id: '56399' year: '2025' ... --- _id: '62980' abstract: - lang: eng text: We introduce a new classification of multimode states with a fixed number of photons. This classification is based on the factorizability of homogeneous multivariate polynomials and is invariant under unitary transformations. The classes physically correspond to field excitations in terms of single and multiple photons, each of which is in an arbitrary irreducible superposition of quantized modes. We further show how the transitions between classes are rendered possible by photon addition, photon subtraction, and photon-projection nonlinearities. We explicitly put forward a design for a multilayer interferometer in which the states for different classes can be generated with state-of-the-art experimental techniques. Limitations of the proposed designs are analyzed using the introduced classification, providing a benchmark for the robustness of certain states and classes. article_number: '033062' author: - first_name: Denis A. full_name: Kopylov, Denis A. last_name: Kopylov - first_name: Christian full_name: Offen, Christian id: '85279' last_name: Offen orcid: 0000-0002-5940-8057 - first_name: Laura full_name: Ares, Laura last_name: Ares - first_name: Boris Edgar full_name: Wembe Moafo, Boris Edgar id: '95394' last_name: Wembe Moafo - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: Torsten full_name: Meier, Torsten id: '344' last_name: Meier orcid: 0000-0001-8864-2072 - first_name: Polina R. full_name: Sharapova, Polina R. id: '60286' last_name: Sharapova - first_name: Jan full_name: Sperling, Jan id: '75127' last_name: Sperling orcid: 0000-0002-5844-3205 citation: ama: Kopylov DA, Offen C, Ares L, et al. Multiphoton, multimode state classification for nonlinear optical circuits. Physical Review Research. 2025;7(3). doi:10.1103/sv6z-v1gk apa: Kopylov, D. A., Offen, C., Ares, L., Wembe Moafo, B. E., Ober-Blöbaum, S., Meier, T., Sharapova, P. R., & Sperling, J. (2025). Multiphoton, multimode state classification for nonlinear optical circuits. Physical Review Research, 7(3), Article 033062. https://doi.org/10.1103/sv6z-v1gk bibtex: '@article{Kopylov_Offen_Ares_Wembe Moafo_Ober-Blöbaum_Meier_Sharapova_Sperling_2025, title={Multiphoton, multimode state classification for nonlinear optical circuits}, volume={7}, DOI={10.1103/sv6z-v1gk}, number={3033062}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Kopylov, Denis A. and Offen, Christian and Ares, Laura and Wembe Moafo, Boris Edgar and Ober-Blöbaum, Sina and Meier, Torsten and Sharapova, Polina R. and Sperling, Jan}, year={2025} }' chicago: Kopylov, Denis A., Christian Offen, Laura Ares, Boris Edgar Wembe Moafo, Sina Ober-Blöbaum, Torsten Meier, Polina R. Sharapova, and Jan Sperling. “Multiphoton, Multimode State Classification for Nonlinear Optical Circuits.” Physical Review Research 7, no. 3 (2025). https://doi.org/10.1103/sv6z-v1gk. ieee: 'D. A. Kopylov et al., “Multiphoton, multimode state classification for nonlinear optical circuits,” Physical Review Research, vol. 7, no. 3, Art. no. 033062, 2025, doi: 10.1103/sv6z-v1gk.' mla: Kopylov, Denis A., et al. “Multiphoton, Multimode State Classification for Nonlinear Optical Circuits.” Physical Review Research, vol. 7, no. 3, 033062, American Physical Society (APS), 2025, doi:10.1103/sv6z-v1gk. short: D.A. Kopylov, C. Offen, L. Ares, B.E. Wembe Moafo, S. Ober-Blöbaum, T. Meier, P.R. Sharapova, J. Sperling, Physical Review Research 7 (2025). date_created: 2025-12-09T09:08:39Z date_updated: 2025-12-09T09:10:01Z department: - _id: '15' - _id: '569' - _id: '170' - _id: '293' - _id: '706' - _id: '636' - _id: '35' - _id: '230' - _id: '429' - _id: '623' doi: 10.1103/sv6z-v1gk intvolume: ' 7' issue: '3' language: - iso: eng project: - _id: '53' name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen' - _id: '56' name: TRR 142 - Project Area C - _id: '174' name: 'TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse' - _id: '266' name: 'PhoQC: Photonisches Quantencomputing' publication: Physical Review Research publication_identifier: issn: - 2643-1564 publication_status: published publisher: American Physical Society (APS) status: public title: Multiphoton, multimode state classification for nonlinear optical circuits type: journal_article user_id: '16199' volume: 7 year: '2025' ... --- _id: '63036' author: - first_name: Sebastian full_name: Rezat, Sebastian id: '31132' last_name: Rezat - first_name: Dubravka full_name: Glasnović Gracin, Dubravka last_name: Glasnović Gracin - first_name: Hendrik full_name: Van Steenbrugge, Hendrik last_name: Van Steenbrugge - first_name: Henning full_name: Sievert, Henning last_name: Sievert citation: ama: 'Rezat S, Glasnović Gracin D, Van Steenbrugge H, Sievert H. The quality of print and digital mathematics curriculum resources. In: Pepin B, Kohanová I, Langfeldt MB, eds. Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development. Norwegian University of Science and Technology.; 2025:72–91.' apa: Rezat, S., Glasnović Gracin, D., Van Steenbrugge, H., & Sievert, H. (2025). The quality of print and digital mathematics curriculum resources. In B. Pepin, I. Kohanová, & M. B. Langfeldt (Eds.), Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development. (pp. 72–91). Norwegian University of Science and Technology. bibtex: '@inproceedings{Rezat_Glasnović Gracin_Van Steenbrugge_Sievert_2025, title={The quality of print and digital mathematics curriculum resources}, booktitle={Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development.}, publisher={Norwegian University of Science and Technology.}, author={Rezat, Sebastian and Glasnović Gracin, Dubravka and Van Steenbrugge, Hendrik and Sievert, Henning}, editor={Pepin, Birgit and Kohanová, Iveta and Langfeldt, Marit Buset}, year={2025}, pages={72–91} }' chicago: Rezat, Sebastian, Dubravka Glasnović Gracin, Hendrik Van Steenbrugge, and Henning Sievert. “The Quality of Print and Digital Mathematics Curriculum Resources.” In Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development., edited by Birgit Pepin, Iveta Kohanová, and Marit Buset Langfeldt, 72–91. Norwegian University of Science and Technology., 2025. ieee: S. Rezat, D. Glasnović Gracin, H. Van Steenbrugge, and H. Sievert, “The quality of print and digital mathematics curriculum resources,” in Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development., Trondheim, Norway, 2025, pp. 72–91. mla: Rezat, Sebastian, et al. “The Quality of Print and Digital Mathematics Curriculum Resources.” Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development., edited by Birgit Pepin et al., Norwegian University of Science and Technology., 2025, pp. 72–91. short: 'S. Rezat, D. Glasnović Gracin, H. Van Steenbrugge, H. Sievert, in: B. Pepin, I. Kohanová, M.B. Langfeldt (Eds.), Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development., Norwegian University of Science and Technology., 2025, pp. 72–91.' conference: end_date: 2025-06-20 location: Trondheim, Norway name: Fifth International Conference on Mathematics Textbook Research and Development (ICMT5) start_date: 2025-06-17 date_created: 2025-12-11T15:36:37Z date_updated: 2025-12-12T10:15:57Z ddc: - '370' department: - _id: '360' editor: - first_name: Birgit full_name: Pepin, Birgit last_name: Pepin - first_name: Iveta full_name: Kohanová, Iveta last_name: Kohanová - first_name: Marit Buset full_name: Langfeldt, Marit Buset last_name: Langfeldt file: - access_level: closed content_type: application/pdf creator: srezat date_created: 2025-12-11T15:39:27Z date_updated: 2025-12-11T15:39:27Z file_id: '63037' file_name: Proceedings ICMT5 december 2026 Seiten 85-104.pdf file_size: 724455 relation: main_file success: 1 file_date_updated: 2025-12-11T15:39:27Z has_accepted_license: '1' language: - iso: eng page: 72–91 publication: Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development. publication_identifier: isbn: - 978-82-691902-2-9 publication_status: published publisher: Norwegian University of Science and Technology. status: public title: The quality of print and digital mathematics curriculum resources type: conference user_id: '31132' year: '2025' ... --- _id: '63034' author: - first_name: Lea full_name: Stallmeister, Lea id: '63369' last_name: Stallmeister - first_name: Sebastian full_name: Rezat, Sebastian id: '31132' last_name: Rezat citation: ama: 'Stallmeister L, Rezat S. Students’ use of different material resources for specific purposes in the process of learning mathematics. In: Pepin B, Kohanová I, Langfeldt MB, eds. Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development. Norwegian University of Science and Technology; 2025.' apa: Stallmeister, L., & Rezat, S. (2025). Students’ use of different material resources for specific purposes in the process of learning mathematics. In B. Pepin, I. Kohanová, & M. B. Langfeldt (Eds.), Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development. Norwegian University of Science and Technology. bibtex: '@inproceedings{Stallmeister_Rezat_2025, title={Students’ use of different material resources for specific purposes in the process of learning mathematics}, booktitle={Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development}, publisher={Norwegian University of Science and Technology}, author={Stallmeister, Lea and Rezat, Sebastian}, editor={Pepin, Birgit and Kohanová, Iveta and Langfeldt, Marit Buset}, year={2025} }' chicago: Stallmeister, Lea, and Sebastian Rezat. “Students’ Use of Different Material Resources for Specific Purposes in the Process of Learning Mathematics.” In Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development, edited by Birgit Pepin, Iveta Kohanová, and Marit Buset Langfeldt. Norwegian University of Science and Technology, 2025. ieee: L. Stallmeister and S. Rezat, “Students’ use of different material resources for specific purposes in the process of learning mathematics,” in Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development, Trondheim, Norway, 2025. mla: Stallmeister, Lea, and Sebastian Rezat. “Students’ Use of Different Material Resources for Specific Purposes in the Process of Learning Mathematics.” Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development, edited by Birgit Pepin et al., Norwegian University of Science and Technology, 2025. short: 'L. Stallmeister, S. Rezat, in: B. Pepin, I. Kohanová, M.B. Langfeldt (Eds.), Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development, Norwegian University of Science and Technology, 2025.' conference: end_date: 2025-06-20 location: Trondheim, Norway name: Fifth International Conference on Mathematics Textbook Research and Development start_date: 2025-06-17 date_created: 2025-12-11T13:15:07Z date_updated: 2025-12-12T10:17:46Z department: - _id: '98' editor: - first_name: Birgit full_name: Pepin, Birgit last_name: Pepin - first_name: Iveta full_name: Kohanová, Iveta last_name: Kohanová - first_name: Marit Buset full_name: Langfeldt, Marit Buset last_name: Langfeldt language: - iso: eng main_file_link: - open_access: '1' url: https://www.ntnu.edu/documents/1317903369/0/Proceedings+ICMT5+december+2026.pdf oa: '1' publication: Proceedings of the Fifth International Conference on Mathematics Textbook Research and Development publication_identifier: isbn: - 978-82-691902-2-9 publication_status: published publisher: Norwegian University of Science and Technology status: public title: Students’ use of different material resources for specific purposes in the process of learning mathematics type: conference user_id: '31132' year: '2025' ... --- _id: '60196' abstract: - lang: eng text: 'This paper examines the governance and quality control of digital curriculum resources (DCR) for K-12 mathematics education in Germany. It focuses on approval processes and criteria set by the 16 federal states, arguing that these have the potential to influence the development of DCR. Using qualitative content analysis, the study explores three research questions: which DCR require official approval, the criteria applied for approval, and the extent to which these criteria are mathematics-specific. Findings indicate that 10 federal states maintain official approval systems, covering digital equivalents of printed textbooks and selected supplemental materials. However, most DCR fall outside these regulated processes, leaving their evaluation largely to individual schools and teachers. The study identifies 17 categories of quality criteria, but reveals a lack of detailed, mathematics-specific requirements. Instead, many criteria are broad references to didactical principles and educational goals, leaving the interpretation and application of these quality standards open-ended. Subject-specific criteria are included but remain limited in specificity. The study underscores the need for research-informed, mathematics-specific quality standards to guide DCR development and approval, emphasizing their importance amidst challenges like artificial intelligence. Policymakers are urged to adopt clearer criteria to ensure high-quality DCR to be used in schools.' article_type: original author: - first_name: Sebastian full_name: Rezat, Sebastian id: '31132' last_name: Rezat citation: ama: Rezat S. The quality of digital curriculum resources for mathematics in German educational policy. ZDM – Mathematics Education. 2025;57:891–904. doi:10.1007/s11858-025-01708-w apa: Rezat, S. (2025). The quality of digital curriculum resources for mathematics in German educational policy. ZDM – Mathematics Education, 57, 891–904. https://doi.org/10.1007/s11858-025-01708-w bibtex: '@article{Rezat_2025, title={The quality of digital curriculum resources for mathematics in German educational policy}, volume={57}, DOI={10.1007/s11858-025-01708-w}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Rezat, Sebastian}, year={2025}, pages={891–904} }' chicago: 'Rezat, Sebastian. “The Quality of Digital Curriculum Resources for Mathematics in German Educational Policy.” ZDM – Mathematics Education 57 (2025): 891–904. https://doi.org/10.1007/s11858-025-01708-w.' ieee: 'S. Rezat, “The quality of digital curriculum resources for mathematics in German educational policy,” ZDM – Mathematics Education, vol. 57, pp. 891–904, 2025, doi: 10.1007/s11858-025-01708-w.' mla: Rezat, Sebastian. “The Quality of Digital Curriculum Resources for Mathematics in German Educational Policy.” ZDM – Mathematics Education, vol. 57, Springer Science and Business Media LLC, 2025, pp. 891–904, doi:10.1007/s11858-025-01708-w. short: S. Rezat, ZDM – Mathematics Education 57 (2025) 891–904. date_created: 2025-06-12T14:21:07Z date_updated: 2025-12-16T14:32:27Z ddc: - '370' department: - _id: '360' doi: 10.1007/s11858-025-01708-w file: - access_level: closed content_type: application/pdf creator: srezat date_created: 2025-06-12T14:23:07Z date_updated: 2025-06-12T14:23:07Z file_id: '60197' file_name: s11858-025-01708-w.pdf file_size: 1296774 relation: main_file success: 1 file_date_updated: 2025-06-12T14:23:07Z has_accepted_license: '1' intvolume: ' 57' keyword: - governance - digital curriculum resources - digital textbooks - digital curriculum materials - quality language: - iso: eng page: ' 891–904' publication: ZDM – Mathematics Education publication_identifier: issn: - 1863-9690 - 1863-9704 publication_status: published publisher: Springer Science and Business Media LLC quality_controlled: '1' status: public title: The quality of digital curriculum resources for mathematics in German educational policy type: journal_article user_id: '31132' volume: 57 year: '2025' ... --- _id: '63150' author: - first_name: Charley full_name: Cummings, Charley last_name: Cummings - first_name: Sira full_name: Gratz, Sira last_name: Gratz - first_name: Ellen full_name: Kirkman, Ellen last_name: Kirkman - first_name: Janina Carmen full_name: Letz, Janina Carmen id: '121953' last_name: Letz orcid: 0000-0002-5497-8296 - first_name: J. Daisie full_name: Rock, J. Daisie last_name: Rock - first_name: Špela full_name: Špenko, Špela last_name: Špenko citation: ama: Cummings C, Gratz S, Kirkman E, Letz JC, Rock JD, Špenko Š. An equivalence linking CM-types $A_\infty$ and $D_\infty$. Published online 2025:1-9. apa: Cummings, C., Gratz, S., Kirkman, E., Letz, J. C., Rock, J. D., & Špenko, Š. (2025). An equivalence linking CM-types $A_\infty$ and $D_\infty$ (pp. 1–9). bibtex: '@article{Cummings_Gratz_Kirkman_Letz_Rock_Špenko_2025, title={An equivalence linking CM-types $A_\infty$ and $D_\infty$}, author={Cummings, Charley and Gratz, Sira and Kirkman, Ellen and Letz, Janina Carmen and Rock, J. Daisie and Špenko, Špela}, year={2025}, pages={1–9} }' chicago: Cummings, Charley, Sira Gratz, Ellen Kirkman, Janina Carmen Letz, J. Daisie Rock, and Špela Špenko. “An Equivalence Linking CM-Types $A_\infty$ and $D_\infty$,” 2025. ieee: C. Cummings, S. Gratz, E. Kirkman, J. C. Letz, J. D. Rock, and Š. Špenko, “An equivalence linking CM-types $A_\infty$ and $D_\infty$.” pp. 1–9, 2025. mla: Cummings, Charley, et al. An Equivalence Linking CM-Types $A_\infty$ and $D_\infty$. 2025, pp. 1–9. short: C. Cummings, S. Gratz, E. Kirkman, J.C. Letz, J.D. Rock, Š. Špenko, (2025) 1–9. date_created: 2025-12-16T14:38:59Z date_updated: 2025-12-16T14:40:06Z department: - _id: '10' language: - iso: eng page: 1-9 related_material: link: - relation: confirmation url: https://arxiv.org/abs/2510.24642 status: public title: An equivalence linking CM-types $A_\infty$ and $D_\infty$ type: preprint user_id: '121953' year: '2025' ... --- _id: '63149' author: - first_name: Antonia full_name: Kekkou, Antonia last_name: Kekkou - first_name: Janina Carmen full_name: Letz, Janina Carmen id: '121953' last_name: Letz orcid: 0000-0002-5497-8296 - first_name: Marc full_name: Stephan, Marc last_name: Stephan citation: ama: Kekkou A, Letz JC, Stephan M. Regular sequences for triangulated categories. Published online 2025:1-37. apa: Kekkou, A., Letz, J. C., & Stephan, M. (2025). Regular sequences for triangulated categories (pp. 1–37). bibtex: '@article{Kekkou_Letz_Stephan_2025, title={Regular sequences for triangulated categories}, author={Kekkou, Antonia and Letz, Janina Carmen and Stephan, Marc}, year={2025}, pages={1–37} }' chicago: Kekkou, Antonia, Janina Carmen Letz, and Marc Stephan. “Regular Sequences for Triangulated Categories,” 2025. ieee: A. Kekkou, J. C. Letz, and M. Stephan, “Regular sequences for triangulated categories.” pp. 1–37, 2025. mla: Kekkou, Antonia, et al. Regular Sequences for Triangulated Categories. 2025, pp. 1–37. short: A. Kekkou, J.C. Letz, M. Stephan, (2025) 1–37. date_created: 2025-12-16T14:38:56Z date_updated: 2025-12-16T14:42:14Z department: - _id: '10' extern: '1' language: - iso: eng page: 1-37 related_material: link: - relation: confirmation url: https://arxiv.org/abs/2509.09941 status: public title: Regular sequences for triangulated categories type: preprint user_id: '121953' year: '2025' ... --- _id: '63148' author: - first_name: Janina Carmen full_name: Letz, Janina Carmen id: '121953' last_name: Letz orcid: 0000-0002-5497-8296 citation: ama: Letz JC. The Rouquier dimension of the category of perfect complexes over a regular ring. Published online 2025:1-7. apa: Letz, J. C. (2025). The Rouquier dimension of the category of perfect complexes over a regular ring (pp. 1–7). bibtex: '@article{Letz_2025, title={The Rouquier dimension of the category of perfect complexes over a regular ring}, author={Letz, Janina Carmen}, year={2025}, pages={1–7} }' chicago: Letz, Janina Carmen. “The Rouquier Dimension of the Category of Perfect Complexes over a Regular Ring,” 2025. ieee: J. C. Letz, “The Rouquier dimension of the category of perfect complexes over a regular ring.” pp. 1–7, 2025. mla: Letz, Janina Carmen. The Rouquier Dimension of the Category of Perfect Complexes over a Regular Ring. 2025, pp. 1–7. short: J.C. Letz, (2025) 1–7. date_created: 2025-12-16T14:38:52Z date_updated: 2025-12-16T14:47:53Z department: - _id: '10' extern: '1' language: - iso: eng page: 1-7 related_material: link: - relation: confirmation url: https://arxiv.org/abs/2506.24038 status: public title: The Rouquier dimension of the category of perfect complexes over a regular ring type: preprint user_id: '121953' year: '2025' ... --- _id: '59507' abstract: - lang: eng text: Differential equations posed on quadratic matrix Lie groups arise in the context of classical mechanics and quantum dynamical systems. Lie group numerical integrators preserve the constants of motions defining the Lie group. Thus, they respect important physical laws of the dynamical system, such as unitarity and energy conservation in the context of quantum dynamical systems, for instance. In this article we develop a high-order commutator free Lie group integrator for non-autonomous differential equations evolving on quadratic Lie groups. Instead of matrix exponentials, which are expensive to evaluate and need to be approximated by appropriate rational functions in order to preserve the Lie group structure, the proposed method is obtained as a composition of Cayley transforms which naturally respect the structure of quadratic Lie groups while being computationally efficient to evaluate. Unlike Cayley-Magnus methods the method is also free from nested matrix commutators. author: - first_name: Boris Edgar full_name: Wembe Moafo, Boris Edgar id: '95394' last_name: Wembe Moafo - first_name: 'Cristian ' full_name: 'Offen, Cristian ' last_name: Offen - first_name: Sofya full_name: Maslovskaya, Sofya id: '87909' last_name: Maslovskaya - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: Pranav full_name: Singh, Pranav last_name: Singh citation: ama: Wembe Moafo BE, Offen C, Maslovskaya S, Ober-Blöbaum S, Singh P. Commutator-free Cayley methods. J Comput Appl Math. 477(15). doi:10.1016/j.cam.2025.117184 apa: Wembe Moafo, B. E., Offen, C., Maslovskaya, S., Ober-Blöbaum, S., & Singh, P. (n.d.). Commutator-free Cayley methods. J. Comput. Appl. Math, 477(15). https://doi.org/10.1016/j.cam.2025.117184 bibtex: '@article{Wembe Moafo_Offen_Maslovskaya_Ober-Blöbaum_Singh, title={Commutator-free Cayley methods}, volume={477}, DOI={10.1016/j.cam.2025.117184}, number={15}, journal={J. Comput. Appl. Math}, author={Wembe Moafo, Boris Edgar and Offen, Cristian and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Singh, Pranav} }' chicago: Wembe Moafo, Boris Edgar, Cristian Offen, Sofya Maslovskaya, Sina Ober-Blöbaum, and Pranav Singh. “Commutator-Free Cayley Methods.” J. Comput. Appl. Math 477, no. 15 (n.d.). https://doi.org/10.1016/j.cam.2025.117184. ieee: 'B. E. Wembe Moafo, C. Offen, S. Maslovskaya, S. Ober-Blöbaum, and P. Singh, “Commutator-free Cayley methods,” J. Comput. Appl. Math, vol. 477, no. 15, doi: 10.1016/j.cam.2025.117184.' mla: Wembe Moafo, Boris Edgar, et al. “Commutator-Free Cayley Methods.” J. Comput. Appl. Math, vol. 477, no. 15, doi:10.1016/j.cam.2025.117184. short: B.E. Wembe Moafo, C. Offen, S. Maslovskaya, S. Ober-Blöbaum, P. Singh, J. Comput. Appl. Math 477 (n.d.). date_created: 2025-04-10T14:42:52Z date_updated: 2025-12-16T15:17:27Z department: - _id: '94' doi: 10.1016/j.cam.2025.117184 intvolume: ' 477' issue: '15' language: - iso: eng publication: J. Comput. Appl. Math publication_status: submitted status: public title: Commutator-free Cayley methods type: journal_article user_id: '95394' volume: 477 year: '2025' ... --- _id: '63187' author: - first_name: Arnott Jeffery Joel full_name: Kidner, Arnott Jeffery Joel id: '111755' last_name: Kidner - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Weiqiang full_name: Yu, Weiqiang id: '117508' last_name: Yu citation: ama: Kidner AJJ, Steffen E, Yu W. Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor. arXiv:251214285. Published online 2025. apa: Kidner, A. J. J., Steffen, E., & Yu, W. (2025). Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor. In arXiv:2512.14285. bibtex: '@article{Kidner_Steffen_Yu_2025, title={Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor}, journal={arXiv:2512.14285}, author={Kidner, Arnott Jeffery Joel and Steffen, Eckhard and Yu, Weiqiang}, year={2025} }' chicago: Kidner, Arnott Jeffery Joel, Eckhard Steffen, and Weiqiang Yu. “Edge-Coloring 4- and 5-Regular Projective Planar Graphs with No Petersen-Minor.” ArXiv:2512.14285, 2025. ieee: A. J. J. Kidner, E. Steffen, and W. Yu, “Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor,” arXiv:2512.14285. 2025. mla: Kidner, Arnott Jeffery Joel, et al. “Edge-Coloring 4- and 5-Regular Projective Planar Graphs with No Petersen-Minor.” ArXiv:2512.14285, 2025. short: A.J.J. Kidner, E. Steffen, W. Yu, ArXiv:2512.14285 (2025). date_created: 2025-12-17T14:40:23Z date_updated: 2025-12-18T13:17:18Z department: - _id: '542' external_id: arxiv: - '2512.14285' language: - iso: eng publication: arXiv:2512.14285 status: public title: Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor type: preprint user_id: '15540' year: '2025' ... --- _id: '63384' abstract: - lang: eng text: "Two fundamental ways to represent a group are as permutations and as matrices. In this paper, we study linear representations of groups that intertwine with a permutation representation. Recently, D'Alconzo and Di Scala investigated how small the matrices in such a linear representation can be. The minimal dimension of such a representation is the \\emph{linear dimension of the group action} and this has applications in cryptography and cryptosystems.\r\n\r\nWe develop the idea of linear dimension from an algebraic point of view by using the theory of permutation modules. We give structural results about representations of minimal dimension and investigate the implications of faithfulness, transitivity and primitivity on the linear dimension. Furthermore, we compute the linear dimension of several classes of finite primitive permutation groups. We also study wreath products, allowing us to determine the linear dimension of imprimitive group actions. Finally, we give the linear dimension of almost simple finite $2$-transitive groups, some of which may be used for further applications in cryptography. Our results also open up many new questions about linear representations of group actions." author: - first_name: Alice full_name: Devillers, Alice last_name: Devillers - first_name: Michael full_name: Giudici, Michael last_name: Giudici - first_name: Daniel R. full_name: Hawtin, Daniel R. last_name: Hawtin - first_name: Lukas-André Dominik full_name: Klawuhn, Lukas-André Dominik id: '91965' last_name: Klawuhn orcid: 0009-0009-7736-4885 - first_name: Luke full_name: Morgan, Luke last_name: Morgan citation: ama: Devillers A, Giudici M, Hawtin DR, Klawuhn L-AD, Morgan L. Linear dimension of group actions. Published online 2025. apa: Devillers, A., Giudici, M., Hawtin, D. R., Klawuhn, L.-A. D., & Morgan, L. (2025). Linear dimension of group actions. bibtex: '@article{Devillers_Giudici_Hawtin_Klawuhn_Morgan_2025, title={Linear dimension of group actions}, author={Devillers, Alice and Giudici, Michael and Hawtin, Daniel R. and Klawuhn, Lukas-André Dominik and Morgan, Luke}, year={2025} }' chicago: Devillers, Alice, Michael Giudici, Daniel R. Hawtin, Lukas-André Dominik Klawuhn, and Luke Morgan. “Linear Dimension of Group Actions,” 2025. ieee: A. Devillers, M. Giudici, D. R. Hawtin, L.-A. D. Klawuhn, and L. Morgan, “Linear dimension of group actions.” 2025. mla: Devillers, Alice, et al. Linear Dimension of Group Actions. 2025. short: A. Devillers, M. Giudici, D.R. Hawtin, L.-A.D. Klawuhn, L. Morgan, (2025). date_created: 2025-12-19T11:20:46Z date_updated: 2025-12-19T11:23:41Z department: - _id: '100' external_id: arxiv: - '2512.16079' language: - iso: eng status: public title: Linear dimension of group actions type: preprint user_id: '91965' year: '2025' ...