Jayce R. Getz, Assistant Professor

Automorphic representations and arithmetic geometry.

Office Location:	225
Office Phone:	(919) 660-2800
Email Address:
Web Page:	http://www.math.duke.edu/~jgetz

Teaching (Fall 2018):

• MATH 305S.01, NUMBER THEORY Synopsis

  Gross Hall 318, MW 01:25 PM-02:40 PM

• MATH 501.01, ALGEBRAIC STRUCTURES I Synopsis

  Physics 259, MW 04:40 PM-05:55 PM

• MATH 502.01, ALGEBRAIC STRUCTURES II Synopsis

  Physics 227, WF 10:05 AM-11:20 AM

Office Hours:

Hours vary

Education:

Ph.D.	University of Wisconsin at Madison	2007
MS	University of Wisconsin at Madison	2006
M.A.	University of Wisconsin at Madison	2006
AB	Harvard University	2004
B.A.	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, Nonabelian fourier transforms for spherical representations, Pacific Journal of Mathematics, vol. 294 no. 2 (January, Submitted, 2018), pp. 351-373, Mathematical Sciences Publishers [doi]  [abs]
2. Getz, JR, A four-variable automorphic kernel function, Research in the Mathematical Sciences, vol. 3 no. 1 (December, 2016) [doi]
3. Getz, JR; Herman, PE, A nonabelian trace formula, Research in the Mathematical Sciences, vol. 2 no. 1 (2015) [doi]  [abs]
4. Getz, JR; Klassen, J, Isolating Rankin-Selberg lifts, Proceedings of the American Mathematical Society, vol. 143 no. 8 (2015), pp. 3319-3329, ISSN 0002-9939 [doi]
5. Getz, JR; Hahn, H, A general simple relative trace formula, Pacific Journal of Mathematics, vol. 277 no. 1 (2015), pp. 99-118, ISSN 0030-8730 [doi]

Recent Grant Support

• 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