## Research Interests for Jayce R. Getz

**Research Interests:** *Number theory*
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**
- 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]
- 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]
- Getz, JR; Liu, B,
*A summation formula for triples of quadratic spaces*,
Advances in Mathematics, vol. 347
(April, 2019),
pp. 150-191 [doi] [abs]
- Getz, JR,
*Secondary terms in asymptotics for the number of zeros of quadratic forms over number fields*,
Journal of the London Mathematical Society, vol. 98 no. 2
(October, 2018),
pp. 275-305, WILEY [doi] [abs]
- Getz, JR,
*Nonabelian fourier transforms for spherical representations*,
Pacific Journal of Mathematics, vol. 294 no. 2
(January, 2018),
pp. 351-373, Mathematical Sciences Publishers [doi] [abs]