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I am postdoctoral fellow and NSERC postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn. I obtained my PhD in 2022 from the University of Toronto, under the supervision of Alexander Braverman. I work on the representation theory of reductive *p*-adic groups, geometric representation theory, and related problems. I am particularily interested in Lusztig's asymptotic Hecke algebra *J* and its recent generalizations, affine Hecke algebras, and the Schwartz space of the basic affice space, especially coherent and constructible categorifications of these objects, and equivalences between such categorifications. This leads me to think about
(derived) algebraic geometry on one hand, and various categories of *l*-adic sheaves on the other, and also about harmonic analysis and Harish-Chandra's Plancherel Theorem.

Before Toronto, I was an undergraduate at UBC, where I developed a continuing interest in real groups, thanks to Julia Gordon.

**Papers and Preprints:**

- Lusztig's asymptotic Hecke algebra for SL_2 arxiv Journal
- Denominators in Lusztig's asymptotic Hecke algebra via the Plancherel formula arxiv
- On the structure of the affine asymptotic Hecke algebras, with R. Bezrukavnikov and G. Dobrovolska. Submitted. arxiv
- A coherent categorification of the based ring of the lowest two-sided cell, arxiv

dawydiak **at** mpim-bon **dot** mpg **dot** de