I am an NSF postdoctoral fellow at McGill University working in Geometric Group Theory with Piotr Przytycki. I am supported by NSF Award No. 2402105.
I graduated from Ohio State University in Spring 2024, where I was advised by Mike Davis and Jingyin Huang.
| Research interests |
Coxeter groups, Artin groups, complex reflection groups, nonpositive curvature of cell complexes (esp. relating to the aforementioned groups). |
| CV |
Found here |
| Papers |
- A new class of affine K(π,1) arrangements, with Jingyin Huang (Nov 2025; submitted) pdf arXiv
- Strong solidity classification of Coxeter groups, with Martín Blufstein and Koichi Oyakawa (Nov 2025; submitted) pdf arXiv
- 7-located locally 5-large complexes are aspherical, with Piotr Przytycki (Sep 2025; submitted) pdf arXiv
- The Deligne complex for the B3 Artin group, with Amy Herron (Mar 2025; submitted) pdf arXiv
- 2-dimensional Shephard groups (Nov 2024; submitted) pdf arXiv
- CAT(0) and cubulated Shephard groups (Oct 2023)
Jour. Lond. Math Soc. pdf arXiv
- Simplicial pseudohyperplane arrangements give weak Garside groups (Oct 2023)
Proc. Amer. Math Soc. pdf arXiv
- The K(π,1) conjecture and acylindrical hyperbolicity for relatively extra-large Artin groups (Nov 2021)
Alg. Geo. Top. pdf arXiv
|
| Notes |
- Buildings for generalized braid groups, an english translation of P. Deligne's "Les immeubles des groupes de tresses généralisés" pdf
- OSU minicourse on nonpositive curvature, complexes of groups, Artin groups, and Coxeter groups (incomplete) pdf
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| Teaching |
Ohio State
- Fall 2022: Math 1130, College Algebra for Business (TA)
- Spring 2022: Math 1152, Calculus II (flipped and flexible) (TA)
- Fall 2021: Math 1151, Calculus I (TA)
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| Contact |
kat (dot) goldman (at) mcgill (dot) ca, or
kat (at) goldmanmath (dot) com |
Any opinions, findings and conclusions or recommendations expressed are those of the author and do not necessarily reflect the views of the National Science Foundation.