Jayce R. Getz, Associate Professor

Automorphic representations and arithmetic geometry.

Office Location:	120 Science Drive, Durham, NC 27708
Office Phone:	(919) 660-2800
Email Address:
Web Page:	https://sites.duke.edu/jgetz/

Teaching (Fall 2021):

• MATH 531.01, REAL ANALYSIS I Synopsis

  Physics 119, WF 01:45 PM-03:00 PM

• MATH 531.11, REAL ANALYSIS I Synopsis

  Online ON, WF 01:45 PM-03:00 PM

• MATH 605.01, ALGEBRAIC NUMBER THEORY Synopsis

  Physics 227, WF 08:30 AM-09:45 AM

Office Hours:

Please email me for office hours.

Education:

Ph.D.	University of Wisconsin - Madison	2007
MS	University of Wisconsin at Madison	2006
M.A.	University of Wisconsin - Madison	2006
A.B.	Harvard University	2004

Specialties:

Number Theory

Research Interests: Number theory

Automorphic representations and arithmetic geometry.

Areas of Interest:

Limits of trace formulae
Relative trace formulae
Shimura varieties

Keywords:

Algebraic cycles • arithmetic geometry • automorphic representations • number theory • Number theory • Shimura varieties • Trace formulas

Current Ph.D. Students  

• Jason Polak  

Postdocs Mentored

• Michael Lipnowski (September 2013 - present)  
• Fritz Hoermann (September 2010 - May 2011)  

Undergraduate Research Supervised

• Josh Izzard (May 2013 - April 2014)  
• Jamie Klassen (June 2012 - August 2012)  

Recent Publications

1. 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]
2. 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]
3. Getz, JR; Liu, B, A summation formula for triples of quadratic spaces, Advances in Mathematics, vol. 347 (April, 2019), pp. 150-191 [doi]  [abs]
4. 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]
5. 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]

Recent Grant Support

• Summation Formulae and Triple Product L-functions in Higher Rank, National Science Foundation, 2019/07-2022/06.      

Conferences Organized

• AIM workshop on Automorphic Kernel functions, co-organizer, December, 2015