Department of Mathematics

1156 High Street

Santa Cruz, CA 95064

email: kasia@ucsc.edu

office: McHenry 4128

pronouns: she/her

I am an Assistant Professor at the University of California Santa Cruz. In Spring 2023, I will be a CRM-Simons Scholar at the thematic program Geometric Group Theory at the Centre de Recherches Mathématiques in Montréal. Previously I was an L.E. Dickson Instructor at the University of Chicago, and a Research Member at the MSRI program Random and Arithmetic Structures in Topology. I completed my PhD at McGill University in 2018, under the supervision of Piotr Przytycki and Daniel Wise.

My research is in geometric group theory. I am particularly interested in non-positive curvature, cube complexes, Artin groups, Coxeter groups, random groups, small cancellation theories, separability properties, algebraic fibering and coherence.

I am supported by NSF grant DMS-2203307.

CV, Research Statement

Teaching in Fall 2022:

*(Relative) hyperbolicity in non-metric cubical small cancellation theory*(with M. Arenas and D.T. Wise), preprint, 2022.*The K(π,1)-conjecture implies the center conjecture for Artin groups*(with K. Schreve), accepted to**J. Algebra**(2022). (arXiv)*The boundary rigidity of lattices in product of trees*(with A. Karrer, K. Ruane and B. Sathaye), submitted, 2021. (arXiv)*Splittings of triangle Artin groups*, accepted to**Groups Geom. Dyn.**(2022). (arXiv)*Groups acting on CAT(0) cube complexes with uniform exponential growth*(with R. Gupta and T. Ng), accepted to**Alg. Geom. Top.**(2021). (arXiv)*Cubulating small cancellation free products*(with D.T. Wise),**Indiana Univ. Math. J.**71 (2022), 1397-1409. (arXiv)*Residual finiteness of certain 2-dimensional Artin groups*,**Adv. Math.**405 (2022) Paper No. 108487. (arXiv)*Right angled Artin subgroups of Artin groups*(with K. Schreve),**J. Lond. Math. Soc.**106 (2022), 818-854. (arXiv)*A curiously cubulated group*(with D.T. Wise),**Geom. Dedicata**212 (2021), 17-19. (arXiv)*Virtually fibering right-angled Coxeter groups*(with S. Norin and D.T. Wise)**J. Inst. Math. Jussieu.**20(3) (2021), 957-987. (arXiv)*Lower bounds on cubical dimension of C'(1/6) groups*,**Proc. Am. Math. Soc.**148 (2020), 3293-3306. (arXiv)*The fundamental theorem of cubical small cancellation theory*,**Trans. Amer. Math. Soc.**369 (2017), 4311-4346. (arXiv)*Cocompactly cubulated 2-dimensional Artin groups*(with J. Huang and P. Przytycki)**Comment. Math. Helv.**91 (2016), 519–542. (arXiv)*Incoherent Coxeter groups*(with D. T. Wise)**Proc. Amer. Math. Soc.**144 (2016), 1857-1866. (arXiv)*A sharper threshold for random groups at density one-half*(with M. Duchin, S. C. Kilmer, S. Lelievre, J. M. Mackay and A. Sanchez)**Groups Geom. Dyn.**10 (2016) no. 3, 985-1005. (arXiv)

Past teaching:

- Winter 2022: Ordinary Differential Equations, Introduction to 3-manifolds
- Fall 2021: Manifolds 1
- Spring 2021: Introduction to Proofs in Analysis (UChicago)
- Winter 2021: Introduction to Proofs in Analysis (UChicago)
- Winter 2020: Introduction to Proofs in Analysis (UChicago)
- Fall 2019: Calculus 3 (UChicago)
- Winter 2019: Analysis in R^n 3 (UChicago)
- Fall 2018: Calculus 3 (UChicago)
- Fall 2016: Calculus 1 (McGill)

Geometry & Analysis Seminar at UCSC

Geometry/Topology Seminar at UChicago

GGT Seminar at McGill

Jankiewicz Studio