# Jayce Robert Getz

- Assistant Professor in the Department of Mathematics

**External address:**225 Physics, Duke Mathematics Department, Durham, NC 27708-0320

### 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.* Hilbert modular forms with coefficients in intersection homology and quadratic base change.* January 1, 2012.
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Getz, J, and Goresky, M.* Introduction.* January 1, 2012.
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Getz, JR, and Hahn, H.* An introduction to automorphic representations with a view towards trace formulae.*. (Textbook)

Getz, J, and Goresky, M. "Review of chains and cochains." *Progress in Mathematics.* January 1, 2012. 21-28.
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Getz, J, and Goresky, M. "The automorphic description of intersection cohomology." *Progress in Mathematics.* January 1, 2012. 111-134.
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Getz, J, and Goresky, M. "Explicit construction of cycles." *Progress in Mathematics.* January 1, 2012. 151-166.
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Getz, J, and Goresky, M. "Review of intersection homology and cohomology." *Progress in Mathematics.* January 1, 2012. 29-39.
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Getz, J, and Goresky, M. "Review of arithmetic quotients." *Progress in Mathematics.* January 1, 2012. 41-55.
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Getz, J, and Goresky, M. "Hilbert modular forms with coefficients in a Hecke module." *Progress in Mathematics.* January 1, 2012. 135-150.
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Getz, J, and Goresky, M. "Eisenstein series with coefficients in intersection homology." *Progress in Mathematics.* January 1, 2012. 179-182.
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Getz, J, and Goresky, M. "Generalities on Hilbert modular forms and varieties." *Progress in Mathematics.* January 1, 2012. 57-89.
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Getz, J, and Goresky, M. "The full version of theorem 1.3." *Progress in Mathematics.* January 1, 2012. 167-177.
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Getz, J, and Goresky, M. "Automorphic vector bundles and local systems." *Progress in Mathematics.* January 1, 2012. 91-110.
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Getz, JR. "Nonabelian fourier transforms for spherical representations." *Pacific Journal of Mathematics* 294.2 (January 1, 2018): 351-373.
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Getz, JR. "A four-variable automorphic kernel function." *Research in the Mathematical Sciences* 3.1 (December 2016).
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Getz, JR, and Herman, PE. "A nonabelian trace formula." *Research in the Mathematical Sciences* 2.1 (December 2015).
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Getz, JR, and Klassen, J. "Isolating Rankin-Selberg lifts." *Proceedings of the American Mathematical Society* 143.8 (April 6, 2015): 3319-3329.
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Getz, JR, and Hahn, H. "A general simple relative trace formula." *Pacific Journal of Mathematics* 277.1 (2015): 99-118.
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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.
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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.
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