Math @ Duke

Jayce R. Getz, Associate Professor
Automorphic representations and arithmetic geometry.  Contact Info:
Teaching (Spring 2023):
 MATH 69005.01, TOPICS IN NUMBER THEORY
Synopsis
 Physics 227, MW 01:45 PM03:00 PM
 MATH 79090.09, MINICOURSE IN ADVANCED TOPICS
Synopsis
 Physics 227, MW 10:15 AM11:30 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 • Lfunctions • number theory • Number theory • Representation theory • Shimura varieties • Trace formulas
 Current Ph.D. Students
(Former Students)
 Postdocs Mentored
 Undergraduate Research Supervised
 Josh Izzard (May 2013  April 2014)
 Jamie Klassen (June 2012  August 2012)
 Recent Publications
(More Publications)
 Getz, JR; Liu, B, A refined Poisson summation formula for certain BravermanKazhdan spaces,
Science China Mathematics, vol. 64 no. 6
(June, 2021),
pp. 11271156 [doi] [abs]
 Getz, JR, A summation formula for the RankinSelberg monoid and a nonabelian trace formula,
American Journal of Mathematics, vol. 142 no. 5
(October, 2020),
pp. 13711407 [doi] [abs]
 Getz, JR; Liu, B, A summation formula for triples of quadratic spaces,
Advances in Mathematics, vol. 347
(April, 2019),
pp. 150191 [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
(April, 2018),
pp. 275305, WILEY [doi] [abs]
 Getz, JR, Nonabelian fourier transforms for spherical representations,
Pacific Journal of Mathematics, vol. 294 no. 2
(January, 2018),
pp. 351373, Mathematical Sciences Publishers [doi] [abs]
 Recent Grant Support
 Summation Formulae and Triple Product Lfunctions in Higher Rank, National Science Foundation, 2019/072023/06.
 Conferences Organized
 AIM workshop on Automorphic Kernel functions, coorganizer, December, 2015


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

