Jayce Robert Getz

Assistant Professor
Department of Mathematics
Duke University
Durham, NC 27708-0320

E-mail: jgetz(at)jmath(dot)jduke(dot)jedu (with the last three j's deleted)

Research interest: Number theory

Recommended reading for everyone: On The Usefulness of Useless Knowledge

I am a number theorist working on automorphic representations and arithmetic geometry. Students at the graduate and undergraduate level that I mentor typically work on topics that involve some combination of the following:

PhD students



Research papers and preprints

These may differ slightly from the published versions.
If you have any comments or corrections, please email me at the address above.

  • `Secondary terms in asymptotics for the number of zeros of quadratic forms over number fields,'

  • `Nonabelian Fourier transforms for spherical representations,'

  • `A summation formula for the Rankin-Selberg monoid via the circle method,'

  • `A four variable automorphic kernel function,'
    Research in the Mathematical Sciences, 2016 3:20

  • (with H. Hahn) `A general simple relative trace formula,'
    Pacific Journal of Mathematics, Vol. 277, No. 1 (2015) 99-118.

  • (with P. E. Herman) `A nonabelian trace formula,'
    Research in the Mathematical Sciences, 2015 2:14.

  • (with J. Klassen) `Isolating Rankin-Selberg lifts,'
    Proceedings of the AMS, Vol. 143 (2015) 3319-3329.

  • (with H. Hahn) `Algebraic cycles and Tate classes on Hilbert modular varieties,'
    Int. J. Number Theory, Vol. 10, No. 1 (2014) 161--176.

  • `An approach to nonsolvable base change and descent,'
    Journal of the Ramanujan Mathematical Society, Vol. 27, No. 2 (2012) 143-211.

  • (with E. Wambach) `Twisted relative trace formulae with a view towards unitary groups,'
    American Journal of Mathematics, Vol. 136 (2014) 1-57.
    Note: in section 10.4 of the published version the Jacobson density theorem was erroneously invoked where the Dixmier-Malliavin lemma should have been invoked.

  • (with M. Goresky) `Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change,'
    winner of the 2011 Ferran Sunyer i Balaguer Prize, Progress in Mathematics.

  • `Intersection numbers of Hecke cycles on Hilbert modular varieties,'
    American Journal of Mathematics, Vol. 129, No. 6 (2007), 1623-1658.

  • (with S. Basha, H. Nover, E. Smith) `Systems of orthogonal polynomials arising from the modular j-function,'
    Journal of Mathematical Analysis and Applications, Vol. 289, No. 1 (2004), 336-354. Corrigendum.

  • 'A generalization of a theorem of Rankin and Swinnerton-Dyer on zeros of modular forms,'
    Proceedings of the American Mathematical Society, 132 (2004), 2221-2231. Corrigendum.

  • (with K. Mahlburg) 'Partition identities and a theorem of Zagier,'
    Journal of Combinatorial Theory (A), 100, (2002), 27-43.

  • 'Extension of a theorem of Kiming and Olsson for the partition function,'
    The Ramanujan Journal, Vol. 5, No. 1 (2001), 47-51.

  • 'On congruence properties of the partition function,'
    International Journal of Mathematics and Mathematical Sciences, Vol. 23, No. 7 (2000), 493-496.

  • Upcoming activities