Jayce Robert Getz
Assistant Professor in the Department of Mathematics
Automorphic representations and arithmetic geometry.
Office Hours
Hours vary
Current Appointments & Affiliations
 Assistant Professor in the Department of Mathematics, Mathematics, Trinity College of Arts & Sciences 2012
Contact Information
 225 Physics, Duke Mathematics Department, Durham, NC 277080320
 jaycegetz@gmail.com
 http://www.math.duke.edu/~jgetz
 Background

Education, Training, & Certifications
 Ph.D., University of Wisconsin at Madison 2007
 M.A., University of Wisconsin at Madison 2006
 Recognition

Awards & Honors
 Member of the Institute for Advanced Study (IAS). Institute for Advanced Study. 2018
 Ferran Sunyer i Balaguer Prize. Unknown. December 2011
 School of Mathematics/ Members. Institute for Advanced Study. 2009
 School of Mathematics/ Members. Institute for Advanced Study. 2008
 NSF Postdoctorial Research Fellowship. NSF. September 2007
 School of Mathematics/ Members. Institute for Advanced Study. September 2007
 Excellence in Mathematical Research Award. University of Wisconsin at Madison. April 2007
 NDSE Graduate Fellowship. NDSE. September 2004
 Detur Book Prize. Harvard University. 2002
 1st Place in Mathematics. International Science and Engineering Fair. 2000
 Intel Science Talent Search (2nd Place). Intel. 2000
 Karl Meger Memorial Award. International Science and Engineering Fair. 2000
 Expertise

Subject Headings
 Research

Selected Grants
 Langlands Functoriality in Nonsolvable and Relative Settings awarded by National Science Foundation 2014  2018
 Publications & Artistic Works

Selected Publications

Books
 Getz, J, and Goresky, M. Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change. Springer Science & Business Media, March 28, 2012.
 Getz, J, and Goresky, M. Introduction. January 1, 2012. Full Text
 Getz, JR, and Hahn, H. An introduction to automorphic representations with a view towards trace formulae. . (Textbook) Link to Item

Book Sections
 Getz, J, and Goresky, M. "Eisenstein series with coefficients in intersection homology." In Progress in Mathematics, 179182. January 1, 2012. Full Text
 Getz, J, and Goresky, M. "Generalities on Hilbert modular forms and varieties." In Progress in Mathematics, 5789. January 1, 2012. Full Text
 Getz, J, and Goresky, M. "The full version of theorem 1.3." In Progress in Mathematics, 167177. January 1, 2012. Full Text
 Getz, J, and Goresky, M. "Automorphic vector bundles and local systems." In Progress in Mathematics, 91110. January 1, 2012. Full Text
 Getz, J, and Goresky, M. "Review of chains and cochains." In Progress in Mathematics, 2128. January 1, 2012. Full Text
 Getz, J, and Goresky, M. "The automorphic description of intersection cohomology." In Progress in Mathematics, 111134. January 1, 2012. Full Text
 Getz, J, and Goresky, M. "Explicit construction of cycles." In Progress in Mathematics, 151166. January 1, 2012. Full Text
 Getz, J, and Goresky, M. "Review of intersection homology and cohomology." In Progress in Mathematics, 2939. January 1, 2012. Full Text
 Getz, J, and Goresky, M. "Review of arithmetic quotients." In Progress in Mathematics, 4155. January 1, 2012. Full Text
 Getz, J, and Goresky, M. "Hilbert modular forms with coefficients in a Hecke module." In Progress in Mathematics, 135150. January 1, 2012. Full Text

Journal Articles
 Getz, JR. "A fourvariable automorphic kernel function." Research in the Mathematical Sciences 3, no. 1 (December 2016). Full Text
 Getz, JR, and Herman, PE. "A nonabelian trace formula." Research in the Mathematical Sciences 2, no. 1 (December 2015). Full Text
 Getz, JR, and Klassen, J. "Isolating RankinSelberg lifts." Proceedings of the American Mathematical Society 143, no. 8 (April 6, 2015): 33193329. Full Text
 Getz, JR, and Hahn, H. "A general simple relative trace formula." Pacific Journal of Mathematics 277, no. 1 (2015): 99118. Full Text
 Getz, JR. "Nonabelian Fourier transforms for spherical representations." arXiv (2015). Link to Item
 Getz, JR, and Hahn, H. "Algebraic cycles and tate classes on hilbert modular varieties." International Journal of Number Theory 10, no. 1 (February 1, 2014): 161176. Full Text
 Getz, JR. "Invariant four variable automorphic kernel functions." arXiv (2014). Link to Item
 Getz, JR, and Hahn, H. "ALGEBRAIC CYCLES AND TATE CLASSES ON HILBERT MODULAR VARIETIES." International Journal of Number Theory , no. 2 (2013): 116.
 Getz, JR. "An approach to nonsolvable base change and descent." Journal of the Ramanujan Mathematical Society 27, no. 2 (2012): 143211. (Academic Article) Link to Item
 Getz, JR. "Erratum: A generalization of a theorem of Rankin and SwinnertonDyer on zeros of modular forms (Proceedings Of the American Mathematical Society (2004) (22212231))." Proceedings of the American Mathematical Society 138, no. 3 (2010): 1159. Full Text
 Getz, J. "Intersection numbers of Hecke cycles on Hilbert modular varieties." American Journal of Mathematics 129, no. 6 (2007): 16231658. Full Text
 Basha, S, Getz, J, Nover, H, and Smith, E. "Systems of orthogonal polynomials arising from the modular jfunction." Journal of Mathematical Analysis and Applications 289, no. 1 (2004): 336354. Full Text
 Getz, J. "A generalization of a theorem of Rankin and SwinnertonDyer on zeros of modular forms." Proceedings of the American Mathematical Society 132, no. 8 (2004): 22212231. Full Text
 Getz, J, and Mahlburg, K. "Partition identities and a theorem of Zagier." Journal of Combinatorial Theory. Series A 100, no. 1 (2002): 2743. Full Text
 Getz, J. "Extension of a theorem of Kiming and Olsson for the partition function." Ramanujan Journal 5, no. 1 (2001): 4751. Full Text
 Getz, JR, Getz, JR, and Wambach, E. "twisted relative trace formulae with a view towards unitary groupsTwisted relative trace formulae with a view towards unitary groups (Accepted)." American Journal of Mathematics .

 Teaching & Mentoring

Recent Courses

Advising & Mentoring
Available to mentor:
 PhD
 PostDoc
 Undergraduate
 Scholarly, Clinical, & Service Activities

Presentations & Appearances
 A summation formula for triples of quadratic spaces. Automorphic Forms and Related Topics. Vietnam Institute Advanced Study in Math (VIASM). August 2017 2017
 Summation formula for the RankinSelberg monoid via the circle method. Automorphic Forms and Related Topics. AMS special session. May 2017 2017
 Summation formula for the RankinSelberg monoid via the circle method. Harmonic analysis and the trace formula. MFO. May 2017 2017
 Summation formula for the RankinSelberg monoid via the circle method. Automorphic Forms and Representation Seminar Seminar. Purdue University. February 2017 2017
 Langlands functoriality conjecture. Department Colloquium. Sookmyung Women's University. August 2016 2016
 Triple product Lfunctions and limiting forms of trace formulae. Number Theory Seminar. Korea Institute for Advanced study (KIAS). August 2016 2016
 Triple product Lfunctions and limiting forms of trace formulae. Number Theory Seminar. Yonsei University. August 2016 2016
 Triple product Lfunctions and limiting forms of trace formulae. Automorphic Forms Workshop. Wake Forest University. March 2016 2016
 Triple product Lfunctions and limiting forms of trace formulae. Langlands Program Seminar. CUNY Graduate Center. March 2016 2016
 Triple product Lfunctions and limiting forms of trace formulae. Number Theory Seminar. Boston College. March 2016 2016
 Fourvariable automorphic kernel functions. Illinois Number Theory Conference. University of Illinois at UrbanaChampaign. August 2015 2015
 Remarks on a paper of Frenkel, Langlands, and Ngo. Workshop on Lfunctions and trace formula. Purdue University. May 2015 2015
 Descent and base change with a view towards the Artin conjecture. Department Colloquium. Emory University. January 2015 2015
 A nonabelian trace formula. ELEFANT workshop. Hausdorff Center. July 2014 2014
 A nonabelian trace formula. Special Seminar. University of Chicago. December 2013 2013
 An approach to nonsolvable base change for GL(2). Lie theory seminar. University of Minnesota. April 2013 2013
 Grad/Fac seminar. February 1, 2013 2013
 Number theory seminar. December 1, 2012 2012
 Athens/Atlanta Number Theory Day. October 1, 2012 2012
 Midwest Number Theory Day. October 1, 2012 2012
 Number theory seminar. April 1, 2012 2012
 Séminaire d'Algèbre et de Géométrie Gradué. March 1, 2012 2012
 Colloquium. February 1, 2012 2012
 Colloquium. January 1, 2012 2012
 Colloquium. January 1, 2012 2012
 Colloquium. November 1, 2011 2011
 Canadian Number Theory Association XI. July 1, 2011 2011
 Number theory seminar. May 1, 2011 2011
 Number theory/algebraic geometry seminar. March 1, 2011 2011
 Number theory seminar. October 1, 2010 2010
 Special values of Lfunctions and arithmetic geometry. October 1, 2010 2010
 Lie theory seminar. October 1, 2009 2009
 Algebraic Geometry/Number Theory Seminar. February 1, 2009 2009
 Colloquium. January 1, 2009 2009
 Members' Seminar. December 1, 2008 2008
 QuebecVermont number theory seminar. December 1, 2008 2008
 Number theory seminar. November 1, 2008 2008
 Number theory/representation theory seminar. November 1, 2008 2008
 Shimura varieties and trace formula seminar. November 1, 2008 2008
 Automorphic forms/number theory seminar. September 1, 2008 2008
 Colloquium. September 1, 2008 2008
 Number theory seminar. September 1, 2008 2008
 Workshop on locally symmetric spaces. May 1, 2008 2008
 Number theory seminar. February 1, 2008 2008
 Number theory seminar. February 1, 2008 2008
 Number theory/representation theory seminar. February 1, 2008 2008

Service to the Profession
 CoOrganizer. Workshop on Automorphic Kernel Functions. American Institute of Mathematics (AIM). November 30, 2015  December 4, 2015 2015
 CoOrganizer. Automorphic Forms and Related Topics. AMS Special Session. November 2014 2014
 CoFounder and CoOrganizer. Number Theory Seminar. Duke University. September 2012 2012
 CoOrganizer. Algebraic Geometry Seminar. Duke University. September 2012 2012
 CoOrganizer. Bellairs Workshop in Number Theory. Barbado. May 2011 2011

Service to Duke
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