Research Interests for Jayce R. Getz

Automorphic representations and arithmetic geometry.

Keywords:

Algebraic cycles, arithmetic geometry, automorphic representations, L-functions, number theory, Number theory, Representation theory, Shimura varieties, Trace formulas

Areas of Interest:

Limits of trace formulae
Relative trace formulae
Shimura varieties

Recent Publications

1. Getz, JR, Summation formulae for quadrics, Selecta Mathematica New Series, vol. 31 no. 2 (April, 2025) [doi] [abs]
2. Getz, JR; Hahn, H, An introduction to automorphic representations with a view toward trace formulae, vol. 300 (January, 2024), Spinger [doi]
3. Getz, J; Hsu, C-H; Leslie, S, Harmonic analysis on certain spherical varieties, Journal of the European Mathematical Society (October, 2023), EMS Press [doi]
4. Getz, JR; Liu, B, A refined Poisson summation formula for certain Braverman-Kazhdan spaces, Science China Mathematics, vol. 64 no. 6 (June, 2021), pp. 1127-1156 [doi] [abs]
5. Getz, JR, A summation formula for the Rankin-Selberg monoid and a nonabelian trace formula, American Journal of Mathematics, vol. 142 no. 5 (October, 2020), pp. 1371-1407 [doi] [abs]