Katherine M. Goldman
I am a Postdoctoral Researcher at McGill University working in Geometric Group Theory with Piotr Przytycki. I am currently on the market for postdoctoral and tenure-track positions.

From Fall 2024 to Spring 2026, I was an NSF postdoctoral fellow based at McGill University, advised by Piotr Przytycki, under 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
  1. A new class of affine K(π,1) arrangements, with Jingyin Huang (Nov 2025; submitted)   pdf   arXiv
  2. Strong solidity classification of Coxeter groups, with Martín Blufstein and Koichi Oyakawa (Nov 2025; submitted)   pdf   arXiv
  3. 7-located locally 5-large complexes are aspherical, with Piotr Przytycki (Sep 2025; submitted)  pdf   arXiv
  4. The Deligne complex for the B3 Artin group, with Amy Herron (Mar 2025; submitted)  pdf   arXiv
  5. 2-dimensional Shephard groups (Nov 2024; submitted)  pdf   arXiv
  6. CAT(0) and cubulated Shephard groups   (Oct 2023)
    Jour. Lond. Math Soc.     pdf     arXiv
  7. Simplicial pseudohyperplane arrangements give weak Garside groups   (Oct 2023)
    Proc. Amer. Math Soc.    pdf    arXiv
  8. The K(π,1) conjecture and acylindrical hyperbolicity for relatively extra-large Artin groups   (Nov 2021)
    Alg. Geo. Top.    pdf    arXiv
Notes
  1. Buildings for generalized braid groups, an english translation of P. Deligne's "Les immeubles des groupes de tresses généralisés"   pdf
  2. OSU minicourse on nonpositive curvature, complexes of groups, Artin groups, and Coxeter groups (incomplete)   pdf
Teaching McGill
  • Fall 2026: Math 318, Introduction to Mathematical Logic (Lecturer)
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)
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.
© K. M. Goldman 2026