# Jayce Robert Getz

- Associate Professor of Mathematics

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

##### Links

### Research Areas and Keywords

##### Algebra & Combinatorics

Automorphic representations, arithmetic geometry

##### Analysis

Automorphic representations, Trace formulae

##### Geometry: Differential & Algebraic

arithmetic geometry

##### Number Theory

Automorphic representations, arithmetic geometry, Trace formulae

Automorphic representations and arithmetic geometry.

## Pages

### Selected Grants

Summation Formulae and Triple Product L-functions in Higher Rank awarded by National Science Foundation (Principal Investigator). 2019 to 2022

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 Supported by Kazhdan's European Research Council Grant Harmonic Analysis and l-adic Sheaves. (2019)

Visitor to the Einstein Institute for Mathematics, Hebrew University awarded by Supported by Kazhdan's 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 M. Goresky. *Hilbert modular forms with coefficients in intersection homology and quadratic base change*. 2012, pp. 1–256. *Scopus*, doi:10.1007/978-3-0348-0351-9.
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Getz, J., and M. Goresky. *Introduction*. Vol. 298, 2012, pp. 1–19. *Scopus*, doi:10.1007/978-3-0348-0351-9_1.
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Getz, J. R., and H. Hahn. *An introduction to automorphic representations with a view towards trace formulae*.

Getz, J., and M. Goresky. “Eisenstein series with coefficients in intersection homology.” *Progress in Mathematics*, vol. 298, 2012, pp. 179–82. *Scopus*, doi:10.1007/978-3-0348-0351-9_11.
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Getz, J., and M. Goresky. “Generalities on Hilbert modular forms and varieties.” *Progress in Mathematics*, vol. 298, 2012, pp. 57–89. *Scopus*, doi:10.1007/978-3-0348-0351-9_5.
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Getz, J., and M. Goresky. “The full version of theorem 1.3.” *Progress in Mathematics*, vol. 298, 2012, pp. 167–77. *Scopus*, doi:10.1007/978-3-0348-0351-9_10.
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Getz, J., and M. Goresky. “Automorphic vector bundles and local systems.” *Progress in Mathematics*, vol. 298, 2012, pp. 91–110. *Scopus*, doi:10.1007/978-3-0348-0351-9_6.
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Getz, J., and M. Goresky. “Review of chains and cochains.” *Progress in Mathematics*, vol. 298, 2012, pp. 21–28. *Scopus*, doi:10.1007/978-3-0348-0351-9_2.
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Getz, J., and M. Goresky. “The automorphic description of intersection cohomology.” *Progress in Mathematics*, vol. 298, 2012, pp. 111–34. *Scopus*, doi:10.1007/978-3-0348-0351-9_7.
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Getz, J., and M. Goresky. “Explicit construction of cycles.” *Progress in Mathematics*, vol. 298, 2012, pp. 151–66. *Scopus*, doi:10.1007/978-3-0348-0351-9_9.
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Getz, J., and M. Goresky. “Review of intersection homology and cohomology.” *Progress in Mathematics*, vol. 298, 2012, pp. 29–39. *Scopus*, doi:10.1007/978-3-0348-0351-9_3.
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Getz, J., and M. Goresky. “Review of arithmetic quotients.” *Progress in Mathematics*, vol. 298, 2012, pp. 41–55. *Scopus*, doi:10.1007/978-3-0348-0351-9_4.
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Getz, J., and M. Goresky. “Hilbert modular forms with coefficients in a Hecke module.” *Progress in Mathematics*, vol. 298, 2012, pp. 135–50. *Scopus*, doi:10.1007/978-3-0348-0351-9_8.
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Getz, J. R., and B. Liu. “A summation formula for triples of quadratic spaces.” *Advances in Mathematics*, vol. 347, Apr. 2019, pp. 150–91. *Scopus*, doi:10.1016/j.aim.2019.02.023.
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Getz, J. R. “Secondary terms in asymptotics for the number of zeros of quadratic forms over number fields.” *Journal of the London Mathematical Society*, vol. 98, no. 2, Oct. 2018, pp. 275–305. *Scopus*, doi:10.1112/jlms.12130.
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Getz, J. R. “Nonabelian fourier transforms for spherical representations.” *Pacific Journal of Mathematics*, vol. 294, no. 2, Jan. 2018, pp. 351–73. *Scopus*, doi:10.2140/pjm.2018.294.351.
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Getz, J. R. “A four-variable automorphic kernel function.” *Research in Mathematical Sciences*, vol. 3, no. 1, Dec. 2016. *Scopus*, doi:10.1186/s40687-016-0069-6.
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Getz, J. R., and P. E. Herman. “A nonabelian trace formula.” *Research in Mathematical Sciences*, vol. 2, no. 1, Dec. 2015. *Scopus*, doi:10.1186/s40687-015-0025-x.
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Getz, J. R., and J. Klassen. “Isolating rankin-selberg lifts.” *Proceedings of the American Mathematical Society*, vol. 143, no. 8, Jan. 2015, pp. 3319–29. *Scopus*, doi:10.1090/proc/12389.
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Getz, J. R., and H. Hahn. “A general simple relative trace formula.” *Pacific Journal of Mathematics*, vol. 277, no. 1, Jan. 2015, pp. 99–118. *Scopus*, doi:10.2140/pjm.2015.277.99.
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Getz, J. R., and H. Hahn. “Algebraic cycles and tate classes on hilbert modular varieties.” *International Journal of Number Theory*, vol. 10, no. 1, Feb. 2014, pp. 161–76. *Scopus*, doi:10.1142/S1793042113500875.
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Getz, J. R., and E. Wambach. “Twisted relative trace formulae with a view towards unitary groups.” *American Journal of Mathematics*, vol. 136, Johns Hopkins University Press: American Journal of Mathematics, Jan. 2014, pp. 1–57.

Getz, J. R. “Invariant four variable automorphic kernel functions.” *Arxiv*, 2014.