RESEARCH GROUP

GEOMETRY

Preprints:

• Stefanie Rach-Ufer, Silke Neuhaus-Eckart, Petra Schwer: Lesen mathematischer Texte und Entwickeln von Freude an Mathematik: Einblicke in ein Flipped-Classroom-Konzept in der Studieneingangsphase.
• Aiko Voigt, Petra Schwer, Noam von Rotberg, Nicole Knopf. TriCCo -- a cubulation-based method for computing connected components on triangular grids, arXiv:2111.13761 [math.GR] (2021)
• Elizabeth Milićević, Petra Schwer, Anne Thomas: Affine Deligne-Lusztig varieties and folded galleries governed by chimneys. arXiv:2111.13761 [math.GR] (2021).
• Corina Ciobotaru, Linus Kramer, Petra Schwer: Polyhedral compactifications,arXiv:2002.12422 [math.MG] (2020)
• Elizabeth Milićević, Yusra Naqvi, Petra Schwer, Anne Thomas: A gallery model for affine flag varieties via chimney retractions. arXiv:1912.09911 [math.RT] (2019).

Reviewed articles:

• Marius and Petra Schwer: Shadows in Coxeter groups. arXiv:1807.08605, Annals of Combinatorics (2020). 
• Annette Karrer, Petra Schwer and Koen Struyve: : The triangle groups (2,4,4), (2,4,5) and (2,5,5) are not systolic. arXiv:1812.08567, Graphs and combinatorics (2020).
• Petra Schwer and David Weniger: A structure theorem for generalized affine buildings. arXiv:1801.10394 math.MG, Journal of Geometry (2019).
• Elizabeth Milićević, Petra Schwer und Anne Thomas: Dimensions of affine Deligne-Lusztig varieties: a new approach via labeled folded alcove walks and root operators. arxiv.org/abs/1504.07076, Memoirs of the AMS (2019).
• Joel Brewster Lewis, Jon McCammond, T. Kyle Petersen, Petra Schwer: Computing reflection length in an affine Coxeter group. Transactions of the AMS, (2018).
• Julia Heller und Petra Schwer: Generalized non-crossing Partitions and Buildings. Electronic Journal of Combinatorics (2018).
• Petra Schwer: Folding operators, root groups and retractions. Jornal of Combinatorial Algebra (2018).
• Thomas Haettel, Dawid Kielak and Petra Schwer: The 6-strand braid group is CAT(0). arxiv.org/abs/1304.5990, Geometriae Dedicata (2016).
• Piotr Przytycki and Petra Schwer: Systolizing buildings. arxiv.org/abs/1310.5525, GGD (2015).
• Petra Schwer and Koen Struyve: Epimorphisms of pseudo-quadratic polar spaces. arxiv.org/abs/1210.8356, Journal of Algebra (2015).
• Curt Bennett, Petra Schwer and Koen Struyve: On axiomatic definitions of non-discrete affine buildings. Advances in Geometry (2014).
• Petra Schwer and Koen Struyve: $\Lambda$-buildings and base change functors. DOI: 10.1007/s10711-011-9611-2, Geometriae Dedicata (2011).
• Petra Hitzelberger: Non-discrete affine buildings and Convexity. Advances in Mathematics, vol.227 (2011) 210 - 244
• Petra Hitzelberger, Linus Kramer and Richard Weiss: Non-discrete Euclidean Buildings for the Ree and Suzuki groups. American Journal of Mathematics, vol. 132, no. 4 (2010) 1113-1152
• Petra Hitzelberger: Kostant convexity for affine buildings. Forum Mathematicum, vol. 22, no. 5 (2010) 959-971
• Petra Hitzelberger and Alexander Lytchak: Spaces with many affine functions. Proc. Amer. Math. Soc. 135 (2007), 2263-2271
  
  

You have possibly seen me (or will have the chance to see me) give a talk on one of the following occasions (2018-2020):

-- not up to date --

2020

Jan - Math+ Friday: Kolloquium der  Berlin Mathematical School

2019

Nov. - Workshop "Buildings and applications", MPI Leipzig (D)
Okt. - EWM Meeting, Leipzig (D)
Aug - Algebra Seminar, Sydney (AU)
July - Felix-Klein Kolloquium, Leipzig (D)
May  - Mathematical Kolloquium, Göttingen (D)
Feb. - Conference "Geometric Analysis meets Geometric Topology", Heidelberg (D)
Feb. -  ABCD Workshop, Aachen (D)
Jan. -  Algebra Seminar, Köln (D)
Jan. -  Bär Kolloquium, Magdeburg (D)
Jan. -  Seminar Sophus Lie, Gießen (D)

2018

Nov. - Workshop "Groups in Madrid", Madrid (ESP)
Nov. - Workshop on Algebraic Combinatorics, Berlin (D)
Okt. - Buildings 2018, Münster (D)
Sept. - Fall school in Besse (F)
May - Oberseminar Analysis JLU-Gießen (D)
April - Séminaire Algèbre ICJ, Lyon (F)
March - Conference \emph{Geometry and Representation Theory of Algebraic Groups}, Bad Honnef (D)
Jan. - Algebra Seminar, TU Kaiserslautern (D)

Theses written under my supervision

PhD

• Julia Heller (2014 - 2018, KIT)
• Annette Karrer (2016 - 2020, KIT)
• Marco Lotz (OVGU, since 2019, joint with Thomas Kahle)
• Isobel Davies (OVGU, since 01/2021)
• Anna Michael (OVGU, since 04/2021)

Master/Diplom

• Mireille Soergel (SS 2018, Heidelberg)
• Valentin Braun (WS 2017/18, KIT)
• Peter Breul (WS 2017/18, KIT)
• Holger Mühlsteph (WS 2017/18, KIT)
• Marius Graeber (SS 2017, KIT)
• David Weniger (WS 2016/17, KIT)

Bachelor

• Jonas Labonte (SS 2018, KIT)
• Lena Eid (SS 2017, KIT)
• Laura Jesser (WS 2016/17, KIT)
• Stefan Lais (SS 2015, KIT)
• Noam von Rotberg (2020, Uni Heidelberg)
• Yannick Steinkamp (2021, OVGU)

Links

You can find out more about me here:

• Me on MathSciNet
• Me on zbMath and me under my old name on zbMath
• Me on ArXiv.org
  

• my old website in Münster
• my old website in Karlsruhe

Mathe Podcast

Pi ist genau - der Mathe Podcast aus Magdeburg
https://pi-ist-genau-3.de/

Mathematicians on the job

A series of job-talks I started at KIT: Mathematiker im Beruf (in German)

Media

• press release OVGU - inaugural lecture
• press release OVGU
• Modellansatz episode on metric geometry (in German)
• Young Investigator Network - introductory video

Some old material:

Lecture on CAT(0) groups and geometry

In the summer of 2017 I was teaching the RTG lecture of our research training group in which I explained some of the nice properties CAT(0) groups and spaces.
The other half of the lecture was shared by Karin Melnick and Beatrice Pozetti.

Here are the scans of my lecture:

First session on Basics and examples.
Second session on The Bruhat-Tits fixedpoint theorem .
Third session on Gromov's link condition and other ways to test for CAT(0).
Fourth session on CAT(0) groups and Isometries of CAT(0) spaces.
Fifth session on The visual boundary and its relatives.

Teaching in Heidelberg Winter 2017/18

During the winter term 2017/18 I am a Visiting Professor at the University of Heidelberg replacing Prof. Anna Wienhard. I gave a student seminar on buildings as well as an introduction to Geometric Group Theory.

Petra Schwer studied mathematics at the Universities in Ulm and Bonn and received her PhD in Münster under the supervision of Linus Kramer and Richard Weiss. After postdoc positions in the USA and France she worked as a commodity risk controller at RWE Power AG in Essen for 10 months. 

She returned to research with DFG "Eigene Stelle" funding before she became a Junior Professor at KIT. During the winter term 2017/18 she was a visiting professor in Heidelberg, in the spring 2018 she worked in Saint Étienne (France) for a month as a prof-invitée.

Schwer became a professor for geometry at the Otto-von-Guericke University on December 1st 2018.