معرفی
Jayce R. Getz is a Professor in the Department of Mathematics at Duke University, specializing in number theory and related fields. His research focuses on automorphic representations and arithmetic geometry, with significant contributions to trace formulae and their applications.
Dr. Getz received his academic training at prestigious institutions:
- Ph.D. from University of Wisconsin, Madison (2007)
- MS from University of Wisconsin, Madison (2006)
- M.A. from University of Wisconsin, Madison (2006)
- A.B. from Harvard University (2004)
Professor Getz's research centers on the deep connections between automorphic forms, L-functions, and arithmetic geometry. He has made significant contributions to the theory of trace formulae, particularly in developing summation formulae for various algebraic structures. His work often bridges representation theory with number-theoretic applications, focusing on Shimura varieties and algebraic cycles. Getz's research provides crucial insights into the Langlands program and has implications for understanding the analytic properties of L-functions.
His recent publications demonstrate a consistent focus on summation formulae, trace formulae, and their applications to automorphic representations. The research trajectory shows increasing sophistication in handling higher-rank settings and more complex algebraic structures, with a particular emphasis on quadratic forms and their generalizations. Getz has also contributed to foundational expository works that make advanced topics in automorphic representations more accessible.
Professor Getz has been actively involved in mentoring the next generation of mathematicians:
- Current Ph.D. student: Jason Polak
- Postdocs mentored: Michael Lipnowski (2013-present), Fritz Hoermann (2010-2011)
- Undergraduate researchers supervised: Josh Izzard (2013-2014), Jamie Klassen (2012)
His research is supported by multiple National Science Foundation grants:
- RTG: Linked via L-functions: training versatile researchers across number theory (2023-2028)
- Splicing summation formulae and triple product L-functions (2024-2027)
- Summation Formulae and Triple Product L-functions in Higher Rank (2019-2023)
Professor Getz has also contributed to the mathematical community through conference organization, notably co-organizing the AIM workshop on Automorphic Kernel functions in December 2015.
