RESEARCH GROUP

GEOMETRY

Preprints:

• Elizabeth Milićević, Petra Schwer, Anne Thomas: Chimney retractions in affine buildings encode orbits in affine flag
   varieties, arXiv:2207.12923 [math.GR], (2022)
  
• 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. (2021)
  
• 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) under discussion at GMD
• Corina Ciobotaru, Linus Kramer, Petra Schwer: Polyhedral compactifications,arXiv:2002.12422 [math.MG] (2020)

Reviewed articles:

• Elizabeth Milićević, Petra Schwer, Anne Thomas: Affine Deligne-Lusztig varieties and folded galleries governed by chimneys. arXiv:2111.13761 [math.GR], to appear in Annales l'Institut Fourier (2022).
• Elizabeth Milićević, Yusra Naqvi, Petra Schwer, Anne Thomas: A gallery model for affine flag varieties via chimney retractions. arXiv:1912.09911 [math.RT], Transform. Groups (2022).
• Petra Schwer: Shadows in the wild -- folded galleries and their applications. arXiv:2109.02293 [math.RT], Jahresbericht der DMV (2022) .

• 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
  
  

• Petra Schwer: Lecture notes on CAT(0) cube complexes. arXiv:1910.06815 [math.GR], also at AMS Open Math Notes.
• Petra Hitzelberger: Generalized affine buildings: Automorphisms, affine Suzuki-Ree Buildings and Convexity. Doctoral thesis (2009).

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

2023

Juni - Conference "Representation Theory", Lyon (F)
Mai - GAGTA 2023, Wien (AT)
Januar - Vortrag in der Reihe "Karriereeinblicke" der Fakultät für Mathematik in Halle, (D)
Januar - Vortrag im Kolloquium der Mathematik, Halle (D)

2022

Dezember - Vortrag in der Reihe "Frauen in der Mathematik" des Mathematischen Seminars der Uni Kiel, (D)
September - DMV Tagung, Algebra und Zahlentheorie Session, Berlin (D)
September - Conference "Geometry meets combinatorics", Bielefeld (D)
Juni - Algebra Seminar Frankfurt (D)
Februar - MFO Workshop "Geometric Structures in Group Theory", Oberwolfach, (D)
Januar - Kolloquium der Mathematik, Uni Hamburg (D)

2021

November - Geometry and Algebra Seminar in Newcastle, Newcastle (GB)
September - Workshop ”Combinatorics and representation theory“, Lausanne (CH)
August - Summer School The dual approach to Coxeter and Artin groups; Garside theory and applications“, Berlin (D)
Januar - Algebra Seminar Halle–Jena, virtuell

2020

Mai - Virtual Workshop Polyhedral Products in Geometric Group Theory“, Fields Institue Toronto, Toronto (CA)
März - Workshop "Combinatorial Coworkspace", Kleinwalsertal (AT)
Jan - Math+ Friday: Kolloquium der  Berlin Mathematical School (D)

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)

 Current supervision

PhD students

• Marco Lotz (OVGU, since 2019, joint with Thomas Kahle)
• Isobel Davies (OVGU, since 01/2021)
• Anna Michael (OVGU, since 04/2021)

Master theses

• Noam von Rotberg (2022, OVGU)
• Max Zander (2022, OVGU)

Bachelor theses

• Maria Grammel: Die Mathematik im Briefwechsel zwischen Escher und Coxeter (Summer 2022, OVGU)
• Nico Fischer (gemeinsam mit Alexander Trost, Sommer 2022, OVGU)

Theses written under my supervision

PhD students

• Julia Heller (2014 - 2018, KIT)
• Annette Karrer (2016 - 2020, KIT)

Master/Diplom theses

• 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 theses

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

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
  

Media and press

• Uni:magazin: Mit Dreiecken das Wetter vorhersagen
• Pressemitteilung der OVGU zur Antrittsvorlesung
• Pressemitteilung der OVGU zur Berufung
• Modellansatz episode on metric geometry hosting Petra Schwer (in German)
• Young Investigator Network - introductory video - Petra Schwer
• Petra Schwer bei Scobel - die Magie der Mathematik (verfügbar bis Januar 2025)

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) 

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.

Current teaching:

For more on previous and current courses @OVGU follow this link.

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.