Dr. Christoph Pegel


30167 Hannover


SCHWERPUNKTE IN FORSCHUNG UND LEHRE
- Kombinatorische und enumerative Konvexgeometrie von (Gitter-)polytopen, insbesondere (markierte) Halbordnungspolytope wie Ordnungs- und Kettenpolytope
- Einsatz von Online-Aufgaben in den Grundveranstaltungen der Mathematik
FORSCHUNG
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Veröffentlichungen
Fang, X., Fourier, G., Litza, J., & Pegel, C. (2020). A Continuous Family of Marked Poset Polytopes. SIAM Journal on Discrete Mathematics, 34(1), 611-639. doi.org/10.1137/18M1228529
Fang, X., Fourier, G., & Pegel, C. (2020). The minkowski property and reflexivity of marked poset polytopes. Electronic Journal of Combinatorics, 27(1). doi.org/10.37236/8144
Pegel, C., & Sanyal, R. (2020). On Piecewise-Linear Homeomorphisms Between Distributive and Anti-blocking Polyhedra. in D. I. Stamate, & T. Szemberg (Hrsg.), Combinatorial Structures in Algebra and Geometry: NSA 26, Constanța, Romania, August 26–September 1, 2018 (Band 331, S. 95-114). (Springer Proceedings in Mathematics and Statistics; Band 331). Springer Nature Switzerland AG. doi.org/10.1007/978-3-030-52111-0_8
Litza, J-P., Pegel, C., & Schmitz, K. (2018, Mai 25). Vertex-Maximal Lattice Polytopes Contained in 2-Simplices. arxiv.org/abs/1805.09989
Pegel, C. (2018). The Face Structure and Geometry of Marked Order Polyhedra. Order, 35(3), 467-488. doi.org/10.1007/s11083-017-9443-2
Bruckner, R., & Pegel, C. (2016, Mär 17). Cofibrant objects in the Thomason Model Structure. arxiv.org/abs/1603.05448
Haga, T., & Pegel, C. (2016). Polytopes of Eigensteps of Finite Equal Norm Tight Frames. Discrete and Computational Geometry, 56(3), 727-742. doi.org/10.1007/s00454-016-9799-x
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Vorträge
- Vertex-Maximal Lattice Polytopes Contained in 2-Simplices, November 2018
Institut für Algebra und Geometrie Oberseminar, Otto-von-Guericke-Universität Magdeburg - Vertex-Maximal Lattice Polytopes Contained in 2-Simplices, November 2018
IAZD Oberseminar zur Algebra und Algebraische Kombinatorik, Leibniz Universität Hannover - A Continuous Family of Marked Poset Polytopes, März 2018
Tropical Geometry meets Representation Theory, Universität zu Köln - The Polyhedral Geometry of Partially Ordered Sets, November 2017
IAZD Oberseminar zur Algebra und Algebraische Kombinatorik, Leibniz Universität Hannover - Gelfand–Tsetlin Polytopes in Frame Theory and Representation Theory, Juli 2017
SIAM Conference on Applied Algebraic Geometry, Georgia Institute of Technology - The Universal Family of Marked Poset Polytopes, März 2017
AG Diskrete Mathematik, Geometrie und Optimierung Oberseminar, Göthe-Universität Frankfurt am Main - The Universal Family of Marked Poset Polytopes, Januar 2017
AG Algebra und Zahlentheorie Oberseminar, Universität zu Köln - Marked Order Polyhedra I & II, September 2016,
ALTA Oberseminar, Universität Bremen - Polytopes of Eigensteps of Finite Equal Norm Tight Frames, März 2016
Joint Annual Meeting of GAMM and DMV, TU Braunschweig - Polytopes of Eigensteps of Finite Equal Norm Tight Frames, Juli 2015
Frames and Algebraic & Combinatorial Geometry Workshop, Universität Bremen - A Crash Course on Toric Varieties Part 2: Toric Varieties from Polyhedral Fans, April 2014
ALTA Oberseminar, Universität Bremen - A Crash Course on Toric Varieties Part 1: Affine Toric Varieties, Januar 2014
ALTA Oberseminar, Universität Bremen
Titel anklicken für Vortragsfolien oder -notizen.
- Vertex-Maximal Lattice Polytopes Contained in 2-Simplices, November 2018
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Konferenzen und Workshops
- Hyperplane Arrangements and Reflection Groups, Leibniz Universität Hannover, September 2019
- Higher Education Mathematics Teaching Course (Session 1), Universitetet i Agder, September 2019
- Tropical Geometry meets Representation Theory, Universität zu Köln, März 2018 (Folien)
- Advances in Hyperplane Arrangements, Universität Bremen, August 2017
- SIAM Conference on Applied Algebraic Geometry, Georgia Institute of Technology, Juli 2017 (Folien)
- Einstein Workshop on Lattice Polytopes, Freie Universität Berlin, Dezember 2016 (Poster)
- Topology and Geometry in a Discrete Setting, ICERM, Providence, November 2016
- Combinatorial Structures in Geometry, Universität Osnabrück, August 2016
- Combinatorial Algebraic Geometry, Graduate Summer School, The Fields Institute, Toronto, Juli 2016
- Topology & Geometry of Arrangements, Doctoral School, Université de Fribourg, Juni 2016
- Economics and Tropical Geometry, Hausdorff School, Universität Bonn, Mai 2016
- Joint Annual Meeting of GAMM and DMV, TU Braunschweig, März 2016 (Folien)
- Frames and Algebraic & Combinatorial Geometry, Universität Bremen, Juli 2015 (Folien)
- Arrangements of Hyperplanes, Universität Bremen, Dezember 2014
- Hyperplane Arrangements and Reflection Groups, Leibniz Universität Hannover, September 2019
LEHRE (ÜBUNGSLEITUNG)
- Lineare Algebra 1 (WS 2020)
- Lineare Algebra 2 (SS 2020)
- Lineare Algebra 1 (WS 2019)
- Lineare Algebra B (SS 2019)
- Lineare Algebra A (WS 2018)
- Lineare Algebra 2 (SS 2018)
- Lineare Algbera 1 (WS 2017)
- Kommutative Algebra (SS 2016)
- Lineare Algebra 1 (WS 2015)
- Algebraische Topologie (WS 2014)
- Topologie (SS 2014)
- Algebra (WS 2013)
- Topologie (SS 2013)
- Algebra (WS 2012)
- Mathematik für Informatiker 2 (SS 2012)
- Mathematik für Informatiker 1 (WS 2011)
ABSCHLUSSARBEITEN
- Dissertation, The Polyhedral Geometry of Partially Ordered Sets, September 2017
- Masterarbeit, Chow Rings of Toric Varieties, September 2014
- Bachelorarbeit, Matroid Polytopes, August 2012