Jayce Robert Getz
- Assistant Professor in the Department of Mathematics
Research Areas and Keywords
Algebra & Combinatorics
Analysis
Geometry: Differential & Algebraic
Number Theory
Automorphic representations and arithmetic geometry.
Pages
Selected Grants
Langlands Functoriality in Nonsolvable and Relative Settings awarded by National Science Foundation (Principal Investigator). 2014 to 2018
Fellowships, Supported Research, & Other Grants
Algebraic cycles on Shimura varieties and distinguished representations awarded by Natural Sciences and Engineering Research Council (NSERC) Discovery Grant (2010 to 2012)
NSF Postdoctoral Research Fellowship awarded by National Science Foundation (NSF) (2007 to 2010)
NDSEG Graduate Fellowship awarded by American Society for Engineering Education (ASEE) (2004 to 2007)
Getz, J, and Goresky, M. Introduction. January 1, 2012. Full Text
Getz, J, and Goresky, M. Hilbert modular forms with coefficients in intersection homology and quadratic base change. January 1, 2012. Full Text
Getz, JR, and Hahn, H. An introduction to automorphic representations with a view towards trace formulae.. (Textbook)
Getz, J, and Goresky, M. "Generalities on Hilbert modular forms and varieties." Progress in Mathematics. January 1, 2012. 57-89. Full Text
Getz, J, and Goresky, M. "The full version of theorem 1.3." Progress in Mathematics. January 1, 2012. 167-177. Full Text
Getz, J, and Goresky, M. "Automorphic vector bundles and local systems." Progress in Mathematics. January 1, 2012. 91-110. Full Text
Getz, J, and Goresky, M. "Review of chains and cochains." Progress in Mathematics. January 1, 2012. 21-28. Full Text
Getz, J, and Goresky, M. "The automorphic description of intersection cohomology." Progress in Mathematics. January 1, 2012. 111-134. Full Text
Getz, J, and Goresky, M. "Explicit construction of cycles." Progress in Mathematics. January 1, 2012. 151-166. Full Text
Getz, J, and Goresky, M. "Review of intersection homology and cohomology." Progress in Mathematics. January 1, 2012. 29-39. Full Text
Getz, J, and Goresky, M. "Review of arithmetic quotients." Progress in Mathematics. January 1, 2012. 41-55. Full Text
Getz, J, and Goresky, M. "Hilbert modular forms with coefficients in a Hecke module." Progress in Mathematics. January 1, 2012. 135-150. Full Text
Getz, J, and Goresky, M. "Eisenstein series with coefficients in intersection homology." Progress in Mathematics. January 1, 2012. 179-182. Full Text
Getz, JR. "Nonabelian fourier transforms for spherical representations." Pacific Journal of Mathematics 294.2 (January 1, 2018): 351-373. Full Text
Getz, JR. "A four-variable automorphic kernel function." Research in the Mathematical Sciences 3.1 (December 2016). Full Text
Getz, JR, and Herman, PE. "A nonabelian trace formula." Research in the Mathematical Sciences 2.1 (December 2015). Full Text
Getz, JR, and Klassen, J. "Isolating Rankin-Selberg lifts." Proceedings of the American Mathematical Society 143.8 (April 6, 2015): 3319-3329. Full Text
Getz, JR, and Hahn, H. "A general simple relative trace formula." Pacific Journal of Mathematics 277.1 (2015): 99-118. Full Text
Getz, JR, and Hahn, H. "Algebraic cycles and tate classes on hilbert modular varieties." International Journal of Number Theory 10.1 (February 1, 2014): 161-176. Full Text
Getz, JR, Wambach, E, Getz, JR, and Wambach, E. "Twisted relative trace formulae with a view towards unitary groupsTwisted relative trace formulae with a view towards unitary groups (PublishedAccepted)." American Journal of Mathematics 136 (January 3, 2014): 1-57.
Getz, JR. "Invariant four variable automorphic kernel functions." arXiv (2014).
Getz, JR. "An approach to nonsolvable base change and descent." Journal of the Ramanujan Mathematical Society 27.2 (2012): 143-211. (Academic Article)
Getz, J. "Intersection numbers of Hecke cycles on Hilbert modular varieties." American Journal of Mathematics 129.6 (2007): 1623-1658. Full Text