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


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:


Vita


Things of interest


Teaching


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. I am happy to provide preprints upon request.

  • J. R. Getz, H. Hahn, `A general simple relative trace formula and a relative Weyl law,'
    submitted.

  • J. R. Getz, P. E. Herman, `A nonabelian trace formula,'
    submitted.

  • J. R. Getz, J. Klassen, `Isolating Rankin-Selberg lifts,'
    accepted for publication in PAMS.

  • J. R. Getz, H. Hahn, `Algebraic cycles and Tate classes on Hilbert modular varieties,'
    accepted for publication in the International Journal of Number Theory.

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

  • J. R. Getz, E. Wambach, `Twisted relative trace formulae with a view towards unitary groups,'
    accepted for publication in the American Journal of Mathematics.
    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.

  • J. R. Getz, 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.

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

  • S. Basha, J. R. Getz, 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.

  • J. R. Getz, '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.

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

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

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

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