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Math @ Duke





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Jayce R. Getz, Associate Professor

Jayce R. Getz

Automorphic representations and arithmetic geometry.

Contact Info:
Office Location:  225 Physics, Duke Mathematics Department, Durham, NC 27708-0320
Office Phone:  (919) 660-2800
Email Address: send me a message
Web Page:  https://sites.duke.edu/jgetz/

Teaching (Fall 2019):

  • MATH 690-05.01, TOPICS IN NUMBER THEORY Synopsis
    Physics 227, TuTh 03:05 PM-04:20 PM
  • MATH 790-90.01, MINICOURSE IN ADVANCED TOPICS Synopsis
    Physics 205, TuTh 01:25 PM-02:40 PM
Teaching (Spring 2020):

  • MATH 605.01, ALGEBRAIC NUMBER THEORY Synopsis
    Physics 227, TuTh 03:05 PM-04:20 PM
Office Hours:

Hours vary
Education:

Ph.D.University of Wisconsin at Madison2007
MSUniversity of Wisconsin at Madison2006
M.A.University of Wisconsin at Madison2006
A.B. Harvard University2004
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   (Former Students)

Postdocs Mentored

Undergraduate Research Supervised

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

  1. Getz, JR; Liu, B, A summation formula for triples of quadratic spaces, Advances in Mathematics, vol. 347 (April, 2019), pp. 150-191 [doi]  [abs]
  2. 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]
  3. 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]
  4. Getz, JR, A four-variable automorphic kernel function, Research in Mathematical Sciences, vol. 3 no. 1 (December, 2016), Springer Nature [doi]  [abs]
  5. Getz, JR; Herman, PE, A nonabelian trace formula, Research in Mathematical Sciences, vol. 2 no. 1 (December, 2015), Springer Nature [doi]  [abs]
Recent Grant Support

  • Summation Formulae and Triple Product L-functions in Higher Rank, National Science Foundation, 2019/07-2022/06.      
  • Langlands Functoriality in Nonsolvable and Relative Settings, National Science Foundation, DMS-1405708, 2014/07-2018/06.      
Conferences Organized

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

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320