Geometry Publications

Publications

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, math.GR, preprint (2018).
Marius Graeber and Petra Schwer: Shadows in Coxeter groups. arXiv:1807.08605, math.CO, preprint (2018).

Petra Schwer and David Weniger: A structure theorem for generalized affine buildings. arXiv:1801.10394 math.MG, to appear in 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, preprint, to appear in 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

Conference papers

Extended Abstract of: Computing reflection length in an affine Coxeter group with Joel Brewster Lewis, Jon McCammond, T. Kyle Petersen will be presented as a talk at FPSAC 2018.

further writing and theses

Petra Schwer: Lecture notes on CAT(0) cube complexes. Muenster (2013).
Petra Schwer: Buildings from a metric perspective. Mini-course, Davis (2011).
Petra Hitzelberger: Generalized affine buildings: Automorphisms, affine Suzuki-Ree Buildings and Convexity. Doctoral thesis (2009).

(I am happy to send you a copy of one of these, just drop me an email.)