@article{36294,
  author       = {{Brennecken, Dominik and Rösler, Margit}},
  journal      = {{Transactions of the American Mathematical Society}},
  number       = {{4}},
  pages        = {{2419--2447}},
  publisher    = {{ American Mathematical Society}},
  title        = {{{The Dunkl-Laplace transform and Macdonald’s hypergeometric series}}},
  doi          = {{10.1090/tran/8860}},
  volume       = {{376}},
  year         = {{2023}},
}

@inproceedings{53053,
  author       = {{Kolbe, Tim}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}},
  editor       = {{IDMI Primar Goethe-Univeristät Frankfurt, .}},
  location     = {{Frankfurt am Main}},
  publisher    = {{WTM}},
  title        = {{{Think-aloud beim hochschulischen Mathematiklernen – Ergebnisse einer Pilotierung}}},
  doi          = {{https://doi.org/10.37626/GA9783959872089.0}},
  year         = {{2023}},
}

@article{46569,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>External visualization (i.e., physically embodied visualization) is central to the teaching and learning of mathematics. As external visualization is an important part of mathematics at all levels of education, it is diverse, and research on external visualization has become a wide and complex field. The aim of this scoping review is to characterize external visualizations in recent mathematics education research in order to develop a common ground and guide future research. A qualitative content analysis of the full texts of 130 studies published between 2018 and 2022 applied a deductive-inductive coding procedure to assess four dimensions: visualization product or process, type of visualization, media, and purpose. The analysis revealed different types of external visualizations including visualizations with physical resemblance ranging from pictorial to abstract visualizations as well as three types of visualizations with structural resemblance: length, area, and relational visualizations. Future research should include measures of visualization products or processes to help explain the demands and affordances that different types of visualizations present to learners and teachers.</jats:p>}},
  author       = {{Schoenherr, Johanna and Schukajlow, Stanislaw}},
  issn         = {{1863-9690}},
  journal      = {{ZDM – Mathematics Education}},
  keywords     = {{General Mathematics, Education}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Characterizing external visualization in mathematics education research: a scoping review}}},
  doi          = {{10.1007/s11858-023-01494-3}},
  year         = {{2023}},
}

@article{53533,
  author       = {{Ernst, Alena and Schmidt, Kai-Uwe}},
  issn         = {{0305-0041}},
  journal      = {{Mathematical Proceedings of the Cambridge Philosophical Society}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{129--160}},
  publisher    = {{Cambridge University Press (CUP)}},
  title        = {{{Intersection theorems for finite general linear groups}}},
  doi          = {{10.1017/s0305004123000075}},
  volume       = {{175}},
  year         = {{2023}},
}

@article{48596,
  author       = {{Häsel-Weide, Uta and Schmidt, R. and Büker, Petra}},
  journal      = {{Zeitschrift für Schul- und Professionsentwicklung (PFLB)}},
  number       = {{1}},
  pages        = {{215--229}},
  title        = {{{„FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung}}},
  volume       = {{5}},
  year         = {{2023}},
}

@article{55277,
  author       = {{Klahn, B. and Technau, Marc}},
  journal      = {{Int. J. Number Theory}},
  number       = {{10}},
  pages        = {{2443–2450}},
  title        = {{{Galois groups of (ⁿ₀)+(ⁿ₁)X+…+(ⁿ₆)X⁶}}},
  doi          = {{10.1142/S1793042123501208}},
  volume       = {{19}},
  year         = {{2023}},
}

@article{55279,
  author       = {{Minelli, P. and Sourmelidis, A. and Technau, Marc}},
  journal      = {{Math. Ann.}},
  pages        = {{291–320}},
  title        = {{{Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums}}},
  doi          = {{10.1007/s00208-022-02452-2}},
  volume       = {{387}},
  year         = {{2023}},
}

@article{34803,
  author       = {{Celledoni, Elena and Glöckner, Helge and Riseth, Jørgen and Schmeding, Alexander}},
  journal      = {{BIT Numerical Mathematics}},
  publisher    = {{Springer}},
  title        = {{{Deep neural networks on diffeomorphism groups for optimal shape reparametrization}}},
  doi          = {{10.1007/s10543-023-00989-05}},
  volume       = {{63}},
  year         = {{2023}},
}

@article{34805,
  abstract     = {{Let $E$ be a finite-dimensional real vector space and $M\subseteq E$ be a
convex polytope with non-empty interior. We turn the group of all
$C^\infty$-diffeomorphisms of $M$ into a regular Lie group.}},
  author       = {{Glöckner, Helge}},
  journal      = {{Journal of Convex Analysis}},
  number       = {{1}},
  pages        = {{343--358}},
  publisher    = {{Heldermann}},
  title        = {{{Diffeomorphism groups of convex polytopes}}},
  volume       = {{30}},
  year         = {{2023}},
}

@article{34801,
  author       = {{Glöckner, Helge and Tárrega, Luis}},
  journal      = {{Journal of Lie Theory}},
  number       = {{1}},
  pages        = {{271--296}},
  publisher    = {{Heldermann}},
  title        = {{{Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups }}},
  volume       = {{33}},
  year         = {{2023}},
}

@unpublished{55575,
  author       = {{Jakob, Johanna}},
  title        = {{{Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen}}},
  year         = {{2023}},
}

@inproceedings{42163,
  abstract     = {{The article shows how to learn models of dynamical systems from data which are governed by an unknown variational PDE. Rather than employing reduction techniques, we learn a discrete field theory governed by a discrete Lagrangian density $L_d$ that is modelled as a neural network. Careful regularisation of the loss function for training $L_d$ is necessary to obtain a field theory that is suitable for numerical computations: we derive a regularisation term which optimises the solvability of the discrete Euler--Lagrange equations. Secondly, we develop a method to find solutions to machine learned discrete field theories which constitute travelling waves of the underlying continuous PDE.}},
  author       = {{Offen, Christian and Ober-Blöbaum, Sina}},
  booktitle    = {{Geometric Science of Information}},
  editor       = {{Nielsen, F and Barbaresco, F}},
  keywords     = {{System identification, discrete Lagrangians, travelling waves}},
  location     = {{Saint-Malo, Palais du Grand Large, France}},
  pages        = {{569--579}},
  publisher    = {{Springer, Cham.}},
  title        = {{{Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves}}},
  doi          = {{10.1007/978-3-031-38271-0_57}},
  volume       = {{14071}},
  year         = {{2023}},
}

@book{37469,
  editor       = {{Biehler, Rolf and Liebendörfer, Michael and Gueudet, Ghislaine and Rasmussen, Chris and Winsløw, Carl}},
  isbn         = {{9783031141744}},
  issn         = {{1869-4918}},
  publisher    = {{Springer International Publishing}},
  title        = {{{Practice-Oriented Research in Tertiary Mathematics Education}}},
  doi          = {{10.1007/978-3-031-14175-1}},
  year         = {{2023}},
}

@article{34814,
  author       = {{Hanusch, Maximilian}},
  issn         = {{0008-414X}},
  journal      = {{Canadian Journal of Mathematics}},
  keywords     = {{extension of differentiable maps}},
  number       = {{1}},
  pages        = {{170--201}},
  publisher    = {{Canadian Mathematical Society}},
  title        = {{{A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus}}},
  doi          = {{10.4153/s0008414x21000596}},
  volume       = {{75}},
  year         = {{2023}},
}

@article{27426,
  abstract     = {{Regularization is used in many different areas of optimization when solutions
are sought which not only minimize a given function, but also possess a certain
degree of regularity. Popular applications are image denoising, sparse
regression and machine learning. Since the choice of the regularization
parameter is crucial but often difficult, path-following methods are used to
approximate the entire regularization path, i.e., the set of all possible
solutions for all regularization parameters. Due to their nature, the
development of these methods requires structural results about the
regularization path. The goal of this article is to derive these results for
the case of a smooth objective function which is penalized by a piecewise
differentiable regularization term. We do this by treating regularization as a
multiobjective optimization problem. Our results suggest that even in this
general case, the regularization path is piecewise smooth. Moreover, our theory
allows for a classification of the nonsmooth features that occur in between
smooth parts. This is demonstrated in two applications, namely support-vector
machines and exact penalty methods.}},
  author       = {{Gebken, Bennet and Bieker, Katharina and Peitz, Sebastian}},
  journal      = {{Journal of Global Optimization}},
  number       = {{3}},
  pages        = {{709--741}},
  title        = {{{On the structure of regularization paths for piecewise differentiable regularization terms}}},
  doi          = {{10.1007/s10898-022-01223-2}},
  volume       = {{85}},
  year         = {{2023}},
}

@inproceedings{31849,
  author       = {{Hoffmann, Max and Biehler, Rolf}},
  booktitle    = {{Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)}},
  editor       = {{Trigueros, Marı́a and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}},
  keywords     = {{Teaching and learning of specific topics in university mathematics, Transition to, across and from university mathematics, Student Teachers, Geometry, Congruence, Double Discontinuity.}},
  publisher    = {{University of Hannover and INDRUM.}},
  title        = {{{Student Teachers ’ Knowledge of Congruence before a University Course on Geometry}}},
  year         = {{2023}},
}

@inproceedings{43097,
  author       = {{Florensa, Ignasio and Hoffmann, Max and Romo Vázquez, Avenilde and Zandieh, Michelle and Martínez-Planell, Rafael}},
  booktitle    = {{Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)}},
  editor       = {{Trigueros, Marı́a and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}},
  title        = {{{Innovations in university teaching based on mathematic education research}}},
  year         = {{2023}},
}

@article{43105,
  author       = {{Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami, Masaaki}},
  issn         = {{1468-1218}},
  journal      = {{Nonlinear Analysis: Real World Applications}},
  keywords     = {{Applied Mathematics, Computational Mathematics, General Economics, Econometrics and Finance, General Engineering, General Medicine, Analysis}},
  publisher    = {{Elsevier BV}},
  title        = {{{Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source}}},
  doi          = {{10.1016/j.nonrwa.2023.103868}},
  volume       = {{73}},
  year         = {{2023}},
}

@inbook{43227,
  author       = {{Vitt, Vivian and Häsel-Weide, Uta}},
  booktitle    = {{Mathematica Didactica, 46}},
  title        = {{{Reziprokes Peer-Tutoring zur Förderung von Schüler*innen mit Schwierigkeiten beim Mathematiklernen.}}},
  doi          = {{https://doi.org/10.18716/ojs/md/2023.1671}},
  year         = {{2023}},
}

@article{34832,
  author       = {{Hanusch, Maximilian}},
  journal      = {{Annals of Global Analysis and Geometry}},
  keywords     = {{Lax equation, generalized Baker-Campbell-Dynkin-Hausdorff formula, regularity of Lie groups}},
  number       = {{21}},
  title        = {{{The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups}}},
  doi          = {{10.1007/s10455-023-09888-y}},
  volume       = {{63}},
  year         = {{2023}},
}