@article{34675,
  author       = {{Black, Tobias and Wu, Chunyan}},
  issn         = {{0044-2275}},
  journal      = {{Zeitschrift für angewandte Mathematik und Physik}},
  keywords     = {{Applied Mathematics, General Physics and Astronomy, General Mathematics}},
  number       = {{4}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation}}},
  doi          = {{10.1007/s00033-021-01565-z}},
  volume       = {{72}},
  year         = {{2021}},
}

@phdthesis{64765,
  author       = {{Nikitin, Natalie}},
  title        = {{{Regularity properties of infinite-dimensional Lie groups and exponential laws}}},
  year         = {{2021}},
}

@article{34790,
  author       = {{Glöckner, Helge and Willis, George A.}},
  issn         = {{0075-4102}},
  journal      = {{Journal für die reine und angewandte Mathematik}},
  keywords     = {{22D05, 22A05, 20E18}},
  pages        = {{85–103}},
  title        = {{{Locally pro-p contraction groups are nilpotent}}},
  doi          = {{10.1515/crelle-2021-0050}},
  volume       = {{781}},
  year         = {{2021}},
}

@article{34789,
  author       = {{Amiri, Habib and Glöckner, Helge and Schmeding, Alexander}},
  issn         = {{0044-8753}},
  journal      = {{Archivum Mathematicum}},
  keywords     = {{22A22, 22E65, 22E67, 46T10, 47H30, 58D15, 58H05}},
  number       = {{5}},
  pages        = {{307–356}},
  title        = {{{Lie groupoids of mappings taking values in a Lie groupoid}}},
  doi          = {{10.5817/AM2020-5-307}},
  volume       = {{56}},
  year         = {{2020}},
}

@article{34787,
  author       = {{Glöckner, Helge and Masbough, Niku}},
  issn         = {{0146-4124}},
  journal      = {{Topology Proceedings}},
  keywords     = {{54B10, 54D45, 54D50}},
  pages        = {{35–38}},
  title        = {{{Products of regular locally compact spaces are k_R-spaces}}},
  volume       = {{55}},
  year         = {{2020}},
}

@unpublished{34808,
  abstract     = {{For suitable finite-dimensional smooth manifolds M (possibly with various
kinds of boundary or corners), locally convex topological vector spaces F and
non-negative integers k, we construct continuous linear operators S_n from the
space of F-valued k times continuously differentiable functions on M to the
corresponding space of smooth functions such that S_n(f) converges to f in
C^k(M,F) as n tends to infinity, uniformly for f in compact subsets of
C^k(M,F). We also study the existence of continuous linear right inverses for
restriction maps from C^k(M,F) to C^k(L,F) if L is a closed subset of M,
endowed with a C^k-manifold structure turning the inclusion map from L to M
into a C^k-map. Moreover, we construct continuous linear right inverses for
restriction operators between spaces of sections in vector bundles in many
situations, and smooth local right inverses for restriction operators between
manifolds of mappings. We also obtain smoothing results for sections in fibre
bundles.}},
  author       = {{Glöckner, Helge}},
  booktitle    = {{arXiv:2006.00254}},
  title        = {{{Smoothing operators for vector-valued functions and extension operators}}},
  year         = {{2020}},
}

@article{31264,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>Given a closed orientable hyperbolic manifold of dimension <jats:inline-formula><jats:alternatives><jats:tex-math>$$\ne 3$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mo>≠</mml:mo>
                    <mml:mn>3</mml:mn>
                  </mml:mrow>
                </mml:math></jats:alternatives></jats:inline-formula> we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and simultaneous small perturbations of the geodesic vector field within the class of contact vector fields. For more general perturbations we get bounds on the multiplicity of the resonance zero on all one-forms in terms of the first and zeroth Betti numbers. Furthermore, we identify for hyperbolic manifolds further resonance spaces whose multiplicities are given by higher Betti numbers.
</jats:p>}},
  author       = {{Küster, Benjamin and Weich, Tobias}},
  issn         = {{0010-3616}},
  journal      = {{Communications in Mathematical Physics}},
  keywords     = {{Mathematical Physics, Statistical and Nonlinear Physics}},
  number       = {{2}},
  pages        = {{917--941}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Pollicott-Ruelle Resonant States and Betti Numbers}}},
  doi          = {{10.1007/s00220-020-03793-2}},
  volume       = {{378}},
  year         = {{2020}},
}

@article{34828,
  author       = {{Hanusch, Maximilian}},
  issn         = {{0019-3577}},
  journal      = {{Indagationes Mathematicae}},
  keywords     = {{regularity of Lie groups}},
  number       = {{1}},
  pages        = {{152--176}},
  publisher    = {{Elsevier BV}},
  title        = {{{The regularity problem for Lie groups with asymptotic estimate Lie algebras}}},
  doi          = {{10.1016/j.indag.2019.12.001}},
  volume       = {{31}},
  year         = {{2020}},
}

@article{34830,
  author       = {{Hanusch, Maximilian}},
  journal      = {{Journal of Lie Theory}},
  keywords     = {{Lie theory, strong Trotter property}},
  number       = {{1}},
  pages        = {{025--032}},
  publisher    = {{Heldermann Verlag}},
  title        = {{{The Strong Trotter Property for Locally μ-convex Lie Groups}}},
  volume       = {{30}},
  year         = {{2020}},
}

@article{51386,
  author       = {{Hilgert, Joachim and Barnum, H.}},
  journal      = {{J. of Lie Theory}},
  pages        = {{315--344}},
  title        = {{{Spectral Properties of Convex Bodies}}},
  volume       = {{30}},
  year         = {{2020}},
}

@misc{51559,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Mathematische Semesterberichte}},
  pages        = {{301–305}},
  title        = {{{Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019}}},
  doi          = {{10.1007/s00591-020-00282-4}},
  volume       = {{67}},
  year         = {{2020}},
}

@misc{51557,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Mathematische Semesterberichte}},
  pages        = {{307–309}},
  title        = {{{Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020}}},
  doi          = {{10.1007/s00591-020-00283-3}},
  volume       = {{67}},
  year         = {{2020}},
}

@misc{51561,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Mathematische Semesterberichte}},
  pages        = {{123–124}},
  title        = {{{Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019}}},
  doi          = {{10.1007/s00591-020-00272-6}},
  volume       = {{67}},
  year         = {{2020}},
}

@misc{51560,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Mathematische Semesterberichte}},
  pages        = {{297–299}},
  title        = {{{David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019}}},
  doi          = {{10.1007/s00591-020-00280-6}},
  volume       = {{67}},
  year         = {{2020}},
}

@misc{51564,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Mathematische Semesterberichte}},
  pages        = {{97–98}},
  title        = {{{Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017)}}},
  doi          = {{10.1007/s00591-019-00254-3}},
  volume       = {{67}},
  year         = {{2020}},
}

@misc{51563,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Mathematische Semesterberichte}},
  pages        = {{109–111}},
  title        = {{{Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019)}}},
  doi          = {{10.1007/s00591-019-00254-3}},
  volume       = {{67}},
  year         = {{2020}},
}

@article{53415,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>Given a closed orientable hyperbolic manifold of dimension <jats:inline-formula><jats:alternatives><jats:tex-math>$$\ne 3$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mo>≠</mml:mo>
                    <mml:mn>3</mml:mn>
                  </mml:mrow>
                </mml:math></jats:alternatives></jats:inline-formula> we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and simultaneous small perturbations of the geodesic vector field within the class of contact vector fields. For more general perturbations we get bounds on the multiplicity of the resonance zero on all one-forms in terms of the first and zeroth Betti numbers. Furthermore, we identify for hyperbolic manifolds further resonance spaces whose multiplicities are given by higher Betti numbers.
</jats:p>}},
  author       = {{Küster, Benjamin and Weich, Tobias}},
  issn         = {{0010-3616}},
  journal      = {{Communications in Mathematical Physics}},
  keywords     = {{Mathematical Physics, Statistical and Nonlinear Physics}},
  number       = {{2}},
  pages        = {{917--941}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Pollicott-Ruelle Resonant States and Betti Numbers}}},
  doi          = {{10.1007/s00220-020-03793-2}},
  volume       = {{378}},
  year         = {{2020}},
}

@book{51488,
  author       = {{Hilgert, Joachim}},
  publisher    = {{Springer Spektrum}},
  title        = {{{Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen}}},
  year         = {{2020}},
}

@article{37373,
  author       = {{Winkler, Michael}},
  journal      = {{Nonlinearity}},
  pages        = {{5007--5048}},
  title        = {{{Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel system}}},
  volume       = {{33}},
  year         = {{2020}},
}

@article{37380,
  author       = {{Winkler, Michael}},
  journal      = {{Zeitschrift für angewandte Mathematik und Physik}},
  title        = {{{Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal.}}},
  volume       = {{71}},
  year         = {{2020}},
}