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

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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

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Teaching in Fall 2022:

• Math 117: Advanced Linear Algebra
• Math 208: Manifolds I

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Publications and Preprints:

15. (Relative) hyperbolicity in non-metric cubical small cancellation theory (with M. Arenas and D.T. Wise), preprint, 2022.


16. The K(π,1)-conjecture implies the center conjecture for Artin groups (with K. Schreve), accepted to J. Algebra (2022). (arXiv)


17. The boundary rigidity of lattices in product of trees (with A. Karrer, K. Ruane and B. Sathaye), submitted, 2021. (arXiv)


18. Splittings of triangle Artin groups, accepted to Groups Geom. Dyn. (2022). (arXiv)


19. Groups acting on CAT(0) cube complexes with uniform exponential growth (with R. Gupta and T. Ng), accepted to Alg. Geom. Top. (2021). (arXiv)


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


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


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


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


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


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


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


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


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


29. 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)

Thesis: Cubical dimension and obstructions to actions on CAT(0) cube complexes, Thesis (Ph.D.) McGill University (Canada), 2018, 94 pp.

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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)

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Geometry & Analysis Seminar at UCSC
Geometry/Topology Seminar at UChicago
GGT Seminar at McGill
Jankiewicz Studio