Jayce R. Getz, Associate Professor

Automorphic representations and arithmetic geometry.

Contact Info:

Office Location:	120 Science Drive, Durham, NC 27708
Email Address:
Web Page:	https://sites.duke.edu/jgetz/

Teaching (Fall 2024):

• MATH 606.01, AUTOMORPHIC REPRESENTATIONS Synopsis

  Physics 205, TuTh 10:05 AM-11:20 AM

• MATH 790-90.05, MINICOURSE IN ADVANCED TOPICS Synopsis

  Physics 227, TuTh 01:25 PM-02:40 PM

• MATH 502.01, ALGEBRAIC STRUCTURES II Synopsis

  Physics 227, TuTh 01:25 PM-02:40 PM

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 • L-functions • number theory • Number theory • Representation theory • Shimura varieties • Trace formulas

Current Ph.D. Students   (Former 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   (More Publications)

1. Getz, J; Hsu, C-H; Leslie, S, Harmonic analysis on certain spherical varieties, Journal of the European Mathematical Society (October, 2023), EMS Press [doi]
2. 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]
3. 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]
4. Getz, JR; Liu, B, A summation formula for triples of quadratic spaces, Advances in Mathematics, vol. 347 (April, 2019), pp. 150-191 [doi]  [abs]
5. 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 (April, 2018), pp. 275-305, Wiley [doi]  [abs]

Recent Grant Support

• RTG: Linked via L-functions: training versatile researchers across number theory, National Science Foundation, 2023/10-2028/09.      
• Splicing summation formulae and triple product L-functions, National Science Foundation, 2024/07-2027/06.      
• Summation Formulae and Triple Product L-functions in Higher Rank, National Science Foundation, 2019/07-2023/06.      

Conferences Organized

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