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 the grants: NSF DMS-2203307 and NSF CAREER DMS-2238198.

CV, Research Statement

In the academic year 2023/24 I am a TLC Faculty Fellow and a Pre-tenure Faculty Writing Fellow.

In 2023/24 I co-organized the Highway CA-17 Groups, Geometry, and Topology Seminar.

Publications and Preprints:

  1. Products of free groups inside graph braid groups (with K. Schreve)
    Preprint, 2024. (arXiv)

  2. Profinite properties of algebraically clean graphs of free groups (with K. Schreve)
    Submitted, 2023. (arXiv)

  3. Finite stature in Artin groups
    Submitted, 2023. (arXiv)

  4. Hyperbolicity in non-metric cubical small cancellation theory (with M. Arenas and D.T. Wise)
    Accepted to Bull. London Math. Soc., 2024. (arXiv)

  5. Generalized residual finiteness of groups (with N. Brody)
    New York J. Math. 30 (2024) 583–592. (arXiv)

  6. The boundary rigidity of lattices in product of trees (with A. Karrer, K. Ruane and B. Sathaye)
    Accepted to Top. Proc., 2024. (arXiv)

  7. The K(π,1)-conjecture implies the center conjecture for Artin groups (with K. Schreve)
    J. Algebra 615 (2023), 455-463. (arXiv)

  8. Cubulating small cancellation free products (with D.T. Wise)
    Indiana Univ. Math. J. 71 (2022), 1397-1409. (arXiv)

  9. Splittings of triangle Artin groups
    Groups Geom. Dyn. 18 (2024), no. 1, 91–108. (arXiv)

  10. Right angled Artin subgroups of Artin groups (with K. Schreve)
    J. Lond. Math. Soc. 106 (2022), 818-854. (arXiv)

  11. Residual finiteness of certain 2-dimensional Artin groups
    Adv. Math. 405 (2022) Paper No. 108487. (arXiv)

  12. A curiously cubulated group (with D.T. Wise)
    Geom. Dedicata 212 (2021), 17-19. (arXiv)

  13. 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)

  14. Virtually fibering right-angled Coxeter groups (with S. Norin and D.T. Wise)
    J. Inst. Math. Jussieu. 20(3) (2021), 957-987. (arXiv)

  15. Lower bounds on cubical dimension of C'(1/6) groups
    Proc. Am. Math. Soc. 148 (2020), 3293-3306. (arXiv)

  16. The fundamental theorem of cubical small cancellation theory
    Trans. Amer. Math. Soc. 369 (2017), 4311-4346. (arXiv)

  17. Cocompactly cubulated 2-dimensional Artin groups (with J. Huang and P. Przytycki)
    Comment. Math. Helv. 91 (2016), 519–542. (arXiv)

  18. Incoherent Coxeter groups (with D. T. Wise)
    Proc. Amer. Math. Soc. 144 (2016), 1857-1866. (arXiv)

  19. 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:

WIGGD 2025
McCammond's Geometric Group Theory Page
AWM at UCSC
Math Seminars at UCSC
Geometry/Topology Seminar at UChicago
GGT Seminar at McGill
Jankiewicz Studio