# 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

Visitor to the Einstein Institute for Mathematics, Hebrew University awarded by European Research Council Grant Harmonic Analysis and l-adic Sheaves (2018)

Membership at Institute for Advanced Study awarded by C. Simonyi Endowment (2018)

Visitor to Korea Institute of Advanced Study awarded by Youn-Seo Choi, KIAS (2016)

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.*: Springer Basel, 2012.
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Getz, J, and Goresky, M. *Introduction.*: Springer Basel, 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. "Automorphic Vector Bundles and Local Systems." *Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change.*: Springer Basel. 2012. 91-110.
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Getz, J, and Goresky, M. "Review of Chains and Cochains." *Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change.*: Springer Basel. 2012. 21-28.
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Getz, J, and Goresky, M. "The Automorphic Description of Intersection Cohomology." *Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change.*: Springer Basel. 2012. 111-134.
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Getz, J, and Goresky, M. "Explicit Construction of Cycles." *Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change.*: Springer Basel. 2012. 151-166.
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Getz, J, and Goresky, M. "Review of Intersection Homology and Cohomology." *Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change.*: Springer Basel. 2012. 29-39.
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Getz, J, and Goresky, M. "Review of Arithmetic Quotients." *Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change.*: Springer Basel. 2012. 41-55.
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Getz, J, and Goresky, M. "Hilbert Modular Forms with Coefficients in a Hecke Module." *Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change.*: Springer Basel. 2012. 135-150.
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Getz, J, and Goresky, M. "Eisenstein Series with Coefficients in Intersection Homology." *Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change.*: Springer Basel. 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." *Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change.*: Springer Basel. 2012. 167-177.
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Getz, JR. "Secondary terms in asymptotics for the number of zeros of quadratic forms over number fields." *Journal of the London Mathematical Society* 98.2 (October 2018): 275-305.
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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. "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. "Invariant four variable automorphic kernel functions." *Arxiv* (2014).

Getz, JR, and Wambach, E. "Twisted relative trace formulae with a view towards unitary groups." *American Journal of Mathematics* 136.1 (2014): 1-57.
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"An approach to nonsolvable base change and descent." *Journal of the Ramanujan Mathematical Society* 27.2 (June 1, 2012): 143-211.

Getz, J. "Intersection numbers of Hecke cycles on Hilbert modular varieties." *American Journal of Mathematics* 129.6 (2007): 1623-1658.
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Getz, J. "A generalization of a theorem of Rankin and Swinnerton-Dyer on zeros of modular forms." *Proceedings of the American Mathematical Society* 132.08 (August 1, 2004): 2221-2221.
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