RESEARCH GROUP

GEOMETRY

Preprints:

• Yuri Santos Rego, Petra Schwer: The galaxy of Coxeter groups, arXiv:2211.17038 [math.GR], (2022)
• Elizabeth Milićević, Petra Schwer, Anne Thomas: Chimney retractions in affine buildings encode orbits in affine flag
   varieties, arXiv:2207.12923 [math.GR], (2022)
• Corina Ciobotaru, Linus Kramer, Petra Schwer: Polyhedral compactifications,arXiv:2002.12422 [math.MG] (2020)

Reviewed articles:

• 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] , published at GMD, (2022)

• 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).