Math @ Duke
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Books
- Getz, J; Goresky, M, Hilbert modular forms with coefficients in intersection homology and quadratic base change,
in Progress in Mathematics, vol. 298
(January, 2012),
pp. 1-256, Springer Basel, ISBN 9783034803502 [doi] [abs]
- Getz, J; Goresky, M, Introduction, vol. 298
(January, 2012),
pp. 1-19, Springer Basel, ISBN 9783034803502 [doi] [abs]
Papers Published
- Getz, J; Hsu, C-H; Leslie, S, Harmonic analysis on certain spherical varieties,
Journal of the European Mathematical Society
(October, 2023), EMS Press [doi]
- Getz, JR; Liu, B, A refined Poisson summation formula for certain Braverman-Kazhdan spaces,
Science China Mathematics, vol. 64 no. 6
(June, 2021),
pp. 1127-1156 [doi] [abs]
- Getz, JR, A summation formula for the Rankin-Selberg monoid and a nonabelian trace formula,
American Journal of Mathematics, vol. 142 no. 5
(October, 2020),
pp. 1371-1407 [doi] [abs]
- Getz, JR; Liu, B, A summation formula for triples of quadratic spaces,
Advances in Mathematics, vol. 347
(April, 2019),
pp. 150-191 [doi] [abs]
- Getz, JR, 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
(April, 2018),
pp. 275-305, Wiley [doi] [abs]
- Getz, JR, Nonabelian fourier transforms for spherical representations,
Pacific Journal of Mathematics, vol. 294 no. 2
(January, 2018),
pp. 351-373, Mathematical Sciences Publishers [doi] [abs]
- Getz, JR, A four-variable automorphic kernel function,
Research in Mathematical Sciences, vol. 3 no. 1
(December, 2016), Springer Nature [doi] [abs]
- Getz, JR; Herman, PE, A nonabelian trace formula,
Research in Mathematical Sciences, vol. 2 no. 1
(December, 2015), Springer Nature [doi] [abs]
- Getz, JR; Hahn, H, A general simple relative trace formula,
Pacific Journal of Mathematics, vol. 277 no. 1
(January, 2015),
pp. 99-118, Mathematical Sciences Publishers, ISSN 0030-8730 [doi] [abs]
- Getz, JR; Klassen, J, Isolating rankin-selberg lifts,
Proceedings of the American Mathematical Society, vol. 143 no. 8
(January, 2015),
pp. 3319-3329, ISSN 0002-9939 [doi] [abs]
- Getz, JR; Hahn, H, Algebraic cycles and tate classes on hilbert modular varieties,
International Journal of Number Theory, vol. 10 no. 1
(February, 2014),
pp. 161-176, ISSN 1793-0421 [doi] [abs]
- Getz, JR; Wambach, E, Twisted relative trace formulae with a view towards unitary groups,
American Journal of Mathematics, vol. 136 no. 1
(January, 2014),
pp. 1-57, Johns Hopkins University Press: American Journal of Mathematics [doi] [abs]
- Getz, J; Goresky, M, Eisenstein series with coefficients in intersection homology,
in Progress in Mathematics, vol. 298
(January, 2012),
pp. 179-182, Springer Basel, ISBN 9783034803502 [doi] [abs]
- Getz, J; Goresky, M, Generalities on Hilbert modular forms and varieties,
in Progress in Mathematics, vol. 298
(January, 2012),
pp. 57-89 [doi] [abs]
- Getz, J; Goresky, M, The full version of theorem 1.3,
in Progress in Mathematics, vol. 298
(January, 2012),
pp. 167-177, Springer Basel, ISBN 9783034803502 [doi] [abs]
- Getz, J; Goresky, M, Automorphic vector bundles and local systems,
in Progress in Mathematics, vol. 298
(January, 2012),
pp. 91-110, Springer Basel, ISBN 9783034803502 [doi] [abs]
- Getz, J; Goresky, M, Review of chains and cochains,
in Progress in Mathematics, vol. 298
(January, 2012),
pp. 21-28, Springer Basel, ISBN 9783034803502 [doi] [abs]
- Getz, J; Goresky, M, The automorphic description of intersection cohomology,
in Progress in Mathematics, vol. 298
(January, 2012),
pp. 111-134, Springer Basel, ISBN 9783034803502 [doi] [abs]
- Getz, J; Goresky, M, Explicit construction of cycles,
in Progress in Mathematics, vol. 298
(January, 2012),
pp. 151-166, Springer Basel, ISBN 9783034803502 [doi] [abs]
- Getz, J; Goresky, M, Review of intersection homology and cohomology,
in Progress in Mathematics, vol. 298
(January, 2012),
pp. 29-39, Springer Basel, ISBN 9783034803502 [doi] [abs]
- Getz, J; Goresky, M, Review of arithmetic quotients,
in Progress in Mathematics, vol. 298
(January, 2012),
pp. 41-55, Springer Basel, ISBN 9783034803502 [doi] [abs]
- Getz, J; Goresky, M, Hilbert modular forms with coefficients in a Hecke module,
in Progress in Mathematics, vol. 298
(January, 2012),
pp. 135-150, Springer Basel, ISBN 9783034803502 [doi] [abs]
- Getz, JR, An approach to nonsolvable base change and descent,
Journal of the Ramanujan Mathematical Society, vol. 27 no. 2
(2012),
pp. 143-211 [pdf] [abs]
- Getz, J, Intersection numbers of Hecke cycles on Hilbert modular varieties,
American Journal of Mathematics, vol. 129 no. 6
(December, 2007),
pp. 1623-1658, Johns Hopkins University Press, ISSN 0002-9327 [doi] [abs]
- Getz, J, A generalization of a theorem of Rankin and Swinnerton-Dyer on zeros of modular forms,
Proceedings of the American Mathematical Society, vol. 132 no. 8
(January, 2004),
pp. 2221-2231, American Mathematical Society (AMS), ISSN 0002-9939 [doi] [abs]
- Basha, S; Getz, J; Nover, H; Smith, E, Systems of orthogonal polynomials arising from the modular j-function,
Journal of Mathematical Analysis and Applications, vol. 289 no. 1
(January, 2004),
pp. 336-354, Elsevier BV, ISSN 0022-247X [doi] [abs]
- S. Basha, J.R. Getz, H. Nover and E. Smith, Systems of orthogonal polynomials arising from the modular j-functions,
J. Math. Anal. Appl., vol. 289 no. 1
(2004),
pp. 336-354
- Getz, J; Mahlburg, K, Partition identities and a theorem of Zagier,
Journal of Combinatorial Theory. Series A, vol. 100 no. 1
(January, 2002),
pp. 27-43, Elsevier BV, ISSN 0097-3165 [doi] [abs]
- Getz, J, Extension of a theorem of Kiming and Olsson for the partition function,
Ramanujan Journal, vol. 5 no. 1
(March, 2001),
pp. 47-51 [doi] [abs]
- J.R. Getz, On congruence properties of the partition function,
Int. J. Math. Math. Sci., vol. 23 no. 7
(2000),
pp. 493-496
Papers Submitted
- J.R. Getz, Automorphic kernel functions in four variables
(2014)
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