kasia jankiewicz
University of California Santa Cruz
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. I spent Spring 2023 as a CRM-Simons Scholar at the thematic program
Geometric Group Theory at the Centre de Recherches Mathématiques in Montréal.
From 2018 to 2021, I was an L.E. Dickson Instructor
at the
University of Chicago, and in Fall 2020 I was 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.
I will be spending the academic year 2024/25 at the
Institute for Advanced Study as a von Neumann Fellow.
My research is in geometric group theory and low-dimensional topology. 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 and
NSF CAREER grant DMS-2238198.
CV,
Research Statement
In Winter 2024 I am a part of the Calculus team, co-teaching MATH 19A and MATH 19B.
In the academic year 2023/24 I am a TLC Faculty Fellow and a Pre-tenure Faculty Writing Fellow.
I co-organize the Highway CA-17 Groups, Geometry, and Topology Seminar.
Publications and Preprints:
- Profinite properties of algebraically clean graphs of free groups (with K. Schreve) Submitted, 2023. (arXiv)
- Finite stature in Artin groups Submitted, 2023. (arXiv)
- Hyperbolicity in non-metric cubical small cancellation theory (with M. Arenas and D.T. Wise) Accepted to Bull. London Math. Soc., 2024. (arXiv)
- Generalized residual finiteness of groups (with N. Brody) Accepted to New York J. Math., 2024. (arXiv)
- The boundary rigidity of lattices in product of trees (with A. Karrer, K. Ruane and B. Sathaye) Accepted to Top. Proc., 2024. (arXiv)
- The K(π,1)-conjecture implies the center conjecture for Artin groups (with K. Schreve) J. Algebra 615 (2023), 455-463. (arXiv)
- Cubulating small cancellation free products (with D.T. Wise) Indiana Univ. Math.
J. 71 (2022), 1397-1409. (arXiv)
- Splittings of triangle Artin groups Groups Geom. Dyn. 18 (2024), no. 1, 91–108. (arXiv)
- Right angled Artin subgroups of Artin groups (with K. Schreve) J. Lond. Math. Soc. 106 (2022), 818-854. (arXiv)
- Residual finiteness of certain 2-dimensional Artin groups Adv. Math. 405 (2022) Paper No. 108487. (arXiv)
- A curiously cubulated group (with D.T. Wise) Geom. Dedicata 212 (2021), 17-19. (arXiv)
- Groups acting on CAT(0) cube complexes with uniform exponential growth (with R. Gupta and T. Ng) Alg. Geom. Top. 23-1 (2023), 13--42. (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:
McCammond's Geometric Group Theory Page
AWM at UCSC
Math Seminars at UCSC
Geometry/Topology Seminar at UChicago
GGT Seminar at McGill
Jankiewicz Studio