@article{37474,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>Due to the COVID-19 crisis, many courses have been offered digitally. Using data from n = 1,173 business students participating in a preparatory mathematics course at a German university that covered the same content as in 2018, 2019 and 2020, we examine how students’ participation and the effect of the preparatory course changed. The data show that the participation rate has fallen slightly, but students’ participation is rather similar to preceding years. Interestingly, students have participated more intensively. There are clear signs of dishonesty in the self-test (use of a calculator) and significant changes in predictors of performance. In particular, the effect of students’ engagement in the course on their performance substantially increased. Further, we found a gender gap in performance affecting women. Finally, the data show that digital courses can be as effective as on-campus courses.</jats:p>}},
  author       = {{Büchele, Stefan and Liebendörfer, Michael and Lankeit, Elisa}},
  issn         = {{0268-3679}},
  journal      = {{Teaching Mathematics and its Applications: An International Journal of the IMA}},
  keywords     = {{Education, General Mathematics}},
  number       = {{4}},
  pages        = {{478--496}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Increasing the effect of a remedial mathematics course by switching to an online format during the COVID-19 crisis: evidence from a German university}}},
  doi          = {{10.1093/teamat/hrab013}},
  volume       = {{40}},
  year         = {{2021}},
}

@article{37483,
  abstract     = {{Das gymnasiale Lehramtsstudium der Mathematik ist an deutschen Universitäten unterschiedlich organisiert. Traditionell wurden am Studienbeginn die Fachvorlesungen zur Analysis und Linearen Algebra gemeinsam mit Fachstudierenden gehört. In jüngerer Zeit verbreiten sich alternative Modelle z. B. mit Brückenvorlesungen, die oft spezifisch für das Gymnasiallehramt angeboten werden. Sie können gemeinsame Veranstaltungen mit Fachstudierenden ergänzen oder ersetzen. Dieser Beitrag zeigt auf, welche Modelle wie häufig verbreitet sind, und spricht an, welche hochschuldidaktischen Fragen an der Studiengestaltung hängen.}},
  author       = {{Gildehaus, Lara and Göller, Robin and Liebendörfer, Michael}},
  issn         = {{2512-9155}},
  journal      = {{Mitteilungen der Gesellschaft für Didaktik der Mathematik}},
  number       = {{111}},
  pages        = {{27–32}},
  title        = {{{Gymnasiales Lehramt Mathematik studieren – eine Übersicht zur Studienorganisation in Deutschland}}},
  volume       = {{47}},
  year         = {{2021}},
}

@inproceedings{37481,
  author       = {{Vajen, Bastian and Gildehaus, Lara and Liebendörfer, Michael and Wolf, Christoph}},
  booktitle    = {{Schriftenreihe der DVPB. Standortbestimmung Politische Bildung: Gesellschaftspolitische Herausforderungen, Zivilgesellschaft und das vermeintliche Neutralitätsgebot}},
  editor       = {{Kenner, Steve and Oeftering, T.}},
  pages        = {{188–200}},
  publisher    = {{Wochenschau}},
  title        = {{{Mathematisierung als Herausforderung für die politische Bildung}}},
  year         = {{2021}},
}

@inbook{37480,
  author       = {{Göller, Robin and Gildehaus, Lara and Liebendörfer, Michael and Steuding, Jörn}},
  booktitle    = {{Mathematik und Gender: Berichte und Beiträge des Arbeitskreise Frauen und Mathematik}},
  editor       = {{Blunck, Andrea and Motzer, Renate}},
  pages        = {{59–76}},
  publisher    = {{Franzbecker}},
  title        = {{{Prüfungsformate als Ansatzpunkt gendersensibler universitärer Lehre im Fach Mathematik}}},
  volume       = {{5}},
  year         = {{2021}},
}

@inproceedings{37478,
  author       = {{Haak, Inka and Gildehaus, Lara and Liebendörfer, Michael}},
  booktitle    = {{Naturwissenschaftlicher Unterricht und Lehrerbildung im Umbruch?}},
  pages        = {{89–92}},
  publisher    = {{Universität Duisburg-Essen}},
  title        = {{{Genese und Funktionen von Lerngruppen in der Studieneingangsphase}}},
  year         = {{2021}},
}

@article{37473,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>We investigated university students’ study of mathematics in the digital setting context of the COVID-19 pandemic. We gathered data from a survey of 89 students enrolled in a ‘Linear Algebra 1’ course including affective variables, learning strategies, social relatedness and resources considered useful. The results indicate students’ high effort and self-regulation and a high variation in affective characteristics and social relatedness. All the traditional aspects of mathematics teaching (lecture, tutorials and lecture notes) were rated as particularly useful. In addition, the videos from external resources were rated as equally useful as the teaching team’s videos. In contrast, traditional literature such as textbooks was rarely considered useful. The most useful resource rated was communication with peers, underlining the important role of social learning despite fully digital learning environments. Finally, a cluster analysis based on students’ rated usefulness of the resources led to three different user-types. Whereas the ‘digitals’ find the external digital resources very useful (videos, webpages, etc.), the ‘traditionalists’ rate the digitalized traditional resources best (lecture, tutorials, etc.). All resources receive uniformly good ratings from a third group (‘all resource users’). We reflect on our findings in light of the pandemic and describe directions for future research.</jats:p>}},
  author       = {{Kempen, Leander and Liebendörfer, Michael}},
  issn         = {{0268-3679}},
  journal      = {{Teaching Mathematics and its Applications: An International Journal of the IMA}},
  keywords     = {{Education, General Mathematics}},
  number       = {{4}},
  pages        = {{436--454}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{University students’ fully digital study of mathematics: an identification of student-groups via their resources usage and a characterization by personal and affective characteristics}}},
  doi          = {{10.1093/teamat/hrab020}},
  volume       = {{40}},
  year         = {{2021}},
}

@inproceedings{37487,
  author       = {{Liebendörfer, Michael and Hochmuth, Reinhard and Rode, Jana and Schukajlow, Stanislaw}},
  booktitle    = {{Interim Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education}},
  editor       = {{Inprasitha, M. and Changsri, N. and Boonsena, N.}},
  pages        = {{198–205}},
  publisher    = {{PME}},
  title        = {{{The Mathematical Beliefs and Interest Development of Pre-Service Primary Teachers}}},
  volume       = {{3}},
  year         = {{2021}},
}

@article{37494,
  author       = {{Krapf, Regula and Liebendörfer, Michael}},
  journal      = {{mathematica didactica}},
  keywords     = {{Extrinsische Motivation}},
  number       = {{44}},
  pages        = {{1–17}},
  title        = {{{Was bewirkt die Pflichtabgabe von Übungsaufgaben in der Hochschulmathematik? – Ein empirischer Vergleich}}},
  volume       = {{2}},
  year         = {{2021}},
}

@article{35615,
  author       = {{Winkler, Michael}},
  journal      = {{Zeitschrift für Angewandte Mathematik und Physik}},
  title        = {{{Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.}}},
  volume       = {{72}},
  year         = {{2021}},
}

@article{35614,
  author       = {{Winkler, Michael}},
  journal      = {{International Mathematics Research Notices}},
  pages        = {{8106--8152}},
  title        = {{{Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?}}},
  volume       = {{2021}},
  year         = {{2021}},
}

@article{35617,
  author       = {{Winkler, Michael}},
  journal      = {{Applied Mathematics Letters}},
  pages        = {{106785}},
  title        = {{{Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.}}},
  volume       = {{112}},
  year         = {{2021}},
}

@article{35613,
  author       = {{Winkler, Michael}},
  journal      = {{Transactions of the American Mathematical Society}},
  pages        = {{219--268}},
  title        = {{{Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.}}},
  volume       = {{374}},
  year         = {{2021}},
}

@article{37659,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0002-9939}},
  journal      = {{Proceedings of the American Mathematical Society}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{3}},
  pages        = {{1151--1163}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{Positive intertwiners for Bessel functions of type B}}},
  doi          = {{10.1090/proc/15312}},
  volume       = {{149}},
  year         = {{2021}},
}

@article{35603,
  author       = {{Tao, Youshan and Winkler, Michael}},
  journal      = {{Journal of Functional Analysis}},
  title        = {{{A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.}}},
  volume       = {{281}},
  year         = {{2021}},
}

@article{35612,
  author       = {{Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}},
  journal      = {{Science China Mathematics}},
  pages        = {{725--746}},
  title        = {{{Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.}}},
  volume       = {{64}},
  year         = {{2021}},
}

@article{35605,
  author       = {{Tao, Youshan and Winkler, Michael}},
  journal      = {{Communications in Mathematical Sciences}},
  pages        = {{829--849}},
  title        = {{{Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.}}},
  volume       = {{19}},
  year         = {{2021}},
}

@article{35610,
  author       = {{Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}},
  journal      = {{Communications in Partial Differential Equations}},
  pages        = {{1058--1091}},
  title        = {{{Local energy estimates and global solvability in a  threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.}}},
  volume       = {{46}},
  year         = {{2021}},
}

@article{35611,
  author       = {{Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}},
  journal      = {{Advances in Nonlinear Analysis}},
  pages        = {{707--731}},
  title        = {{{Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation}}},
  volume       = {{10}},
  year         = {{2021}},
}

@article{34840,
  abstract     = {{In this paper we obtain a complete list of imaginary n-quadratic fields with class groups of exponent 3 and 5 under ERH for every positive integer n where an n-quadratic field is a number field of degree 2ⁿ represented as the composite of n quadratic fields. }},
  author       = {{Klüners, Jürgen and Komatsu, Toru}},
  issn         = {{0025-5718}},
  journal      = {{Mathematics of Computation}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Algebra and Number Theory}},
  number       = {{329}},
  pages        = {{1483--1497}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{Imaginary multiquadratic number fields with class group of exponent $3$ and $5$}}},
  doi          = {{10.1090/mcom/3609}},
  volume       = {{90}},
  year         = {{2021}},
}

@article{34912,
  abstract     = {{Let E be an ordinary elliptic curve over a finite field and g be a positive integer. Under some technical assumptions, we give an algorithm to span the isomorphism classes of principally polarized abelian varieties in the isogeny class of E⁹ . The varieties are first described as hermitian lattices over (not necessarily maximal) quadratic orders and then geometrically in terms of their algebraic theta null point. We also show how to algebraically compute Siegel modular forms of even weight given as polynomials in the theta constants by a careful choice of an affine lift of the theta null point. We then use these results to give an algebraic computation of Serre’s obstruction for principally polarized abelian threefolds isogenous to E³ and of the Igusa modular form in dimension 4. We illustrate our algorithms with examples of curves with many rational points over finite fields. }},
  author       = {{Kirschmer, Markus and Narbonne, Fabien and Ritzenthaler, Christophe and Robert, Damien}},
  issn         = {{0025-5718}},
  journal      = {{Mathematics of Computation}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Algebra and Number Theory}},
  number       = {{333}},
  pages        = {{401--449}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{Spanning the isogeny class of a power of an elliptic curve}}},
  doi          = {{10.1090/mcom/3672}},
  volume       = {{91}},
  year         = {{2021}},
}