## Research Interests for Jayce R. Getz

**Research Interests:** *Number theory*
Automorphic representations and arithmetic geometry.

**Keywords:**
- Algebraic cycles, arithmetic geometry, automorphic representations, number theory, Number theory, Shimura varieties, Trace formulas

**Areas of Interest:**
Limits of trace formulae

Relative trace formulae

Shimura varieties

**Recent Publications**
- 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]
- Getz, JR,
*A four-variable automorphic kernel function*,
Research in Mathematical Sciences, vol. 3 no. 1
(December, 2016), Springer Nature [doi] [abs]
- Getz, JR; Herman, PE,
*A nonabelian trace formula*,
Research in Mathematical Sciences, vol. 2 no. 1
(December, 2015), Springer Nature [doi] [abs]