# 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

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. "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, 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, 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, JR. "Erratum: A generalization of a theorem of Rankin and Swinnerton-Dyer on zeros of modular forms (Proceedings Of the American Mathematical Society (2004) (2221-2231))." *Proceedings of the American Mathematical Society* 138.3 (2010): 1159--.
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Getz, J. "Intersection numbers of Hecke cycles on Hilbert modular varieties." *American Journal of Mathematics* 129.6 (2007): 1623-1658.
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