Jayce Robert Getz
Associate Professor of Mathematics
Automorphic representations and arithmetic geometry.
Current Research Interests
Langlands functoriality, nonabelian Fourier transforms and Poisson summation, relative trace formulae
Office Hours
Please email me for office hours.
Current Appointments & Affiliations
- Associate Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2019
Contact Information
- 120 Science Drive, Durham, NC 27708
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jgetz@math.duke.edu
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Personal website
- Background
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Education, Training, & Certifications
- Ph.D., University of Wisconsin - Madison 2007
- M.A., University of Wisconsin - Madison 2006
- A.B., Harvard University 2004
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Previous Appointments & Affiliations
- Assistant Professor in the Department of Mathematics, Mathematics, Trinity College of Arts & Sciences 2012 - 2019
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Academic Positions Outside Duke
- Enseignant Chercheur Invite, Aix-Marseille Universite. 2022
- Visiting Associate Professor, Postech Mathematics Institute. 2021
- Visitor, Einstein Institute of Mathematics, Hebrew University. 2018
- Member, Institute for Advanced Study. 2018
- Visitor, Korea Institute of Advanced Study. 2016
- Tenure Track Assistant Professor, McGill University. 2010 - 2012
- Veblen Research Instructor , Princeton University and IAS. 2007 - 2010
- Recognition
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Awards & Honors
- Member of the Institute for Advanced Study (IAS). C. Simonyi Endowment, in part. 2018
- Ferran Sunyer i Balaguer Prize. Institut d'Estudis Catalans. April 2011
- School of Mathematics/ Members. Institute for Advanced Study. 2009
- School of Mathematics/ Members. Institute for Advanced Study. 2008
- School of Mathematics/ Members. Institute for Advanced Study. September 2007
- Excellence in Mathematical Research Award. University of Wisconsin at Madison. April 2007
- Detur Book Prize. Harvard University. 2002
- 1st Place in Mathematics. International Science and Engineering Fair. 2000
- 2nd place overall. International Science and Engineering Fair. 2000
- Intel Science Talent Search (2nd Place). Intel. 2000
- Karl Menger Memorial Award. International Science and Engineering Fair. 2000
- Expertise
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Subject Headings
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Global Scholarship
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Research
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- Research
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Selected Grants
- Summation Formulae and Triple Product L-functions in Higher Rank awarded by National Science Foundation 2019 - 2023
- Langlands Functoriality in Nonsolvable and Relative Settings awarded by National Science Foundation 2014 - 2018
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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 - 2012
- NSF Postdoctoral Research Fellowship awarded by National Science Foundation (NSF) 2007 - 2010
- NDSEG Graduate Fellowship awarded by American Society for Engineering Education (ASEE) 2004 - 2007
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External Relationships
- Postech Mathematics Institute
- Publications & Artistic Works
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Selected Publications
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Books
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Getz, J., and M. Goresky. Hilbert modular forms with coefficients in intersection homology and quadratic base change, 2012. https://doi.org/10.1007/978-3-0348-0351-9.Full Text
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Getz, J., and M. Goresky. Introduction. Vol. 298, 2012. https://doi.org/10.1007/978-3-0348-0351-9_1.Full Text
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Getz, J. R., and H. Hahn. An introduction to automorphic representations with a view towards trace formulae, n.d.Link to Item
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Academic Articles
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Getz, J. R., and B. Liu. “A refined Poisson summation formula for certain Braverman-Kazhdan spaces.” Science China Mathematics 64, no. 6 (June 1, 2021): 1127–56. https://doi.org/10.1007/s11425-018-1616-0.Full Text
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Getz, J. R. “A summation formula for the Rankin-Selberg monoid and a nonabelian trace formula.” American Journal of Mathematics 142, no. 5 (October 1, 2020): 1371–1407. https://doi.org/10.1353/ajm.2020.0035.Full Text
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Getz, J. R., and B. Liu. “A summation formula for triples of quadratic spaces.” Advances in Mathematics 347 (April 30, 2019): 150–91. https://doi.org/10.1016/j.aim.2019.02.023.Full Text
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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, April 19, 2018. https://doi.org/10.1112/jlms.12130.Full Text Link to Item
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Getz, J. R. “Nonabelian fourier transforms for spherical representations.” Pacific Journal of Mathematics 294, no. 2 (January 1, 2018): 351–73. https://doi.org/10.2140/pjm.2018.294.351.Full Text
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Getz, J. R. “A four-variable automorphic kernel function.” Research in Mathematical Sciences 3, no. 1 (December 1, 2016). https://doi.org/10.1186/s40687-016-0069-6.Full Text
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Getz, J. R., and P. E. Herman. “A nonabelian trace formula.” Research in Mathematical Sciences 2, no. 1 (December 1, 2015). https://doi.org/10.1186/s40687-015-0025-x.Full Text
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Getz, J. R., and H. Hahn. “A general simple relative trace formula.” Pacific Journal of Mathematics 277, no. 1 (January 1, 2015): 99–118. https://doi.org/10.2140/pjm.2015.277.99.Full Text
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Getz, J. R., and J. Klassen. “Isolating rankin-selberg lifts.” Proceedings of the American Mathematical Society 143, no. 8 (January 1, 2015): 3319–29. https://doi.org/10.1090/proc/12389.Full Text
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Getz, J. R., and H. Hahn. “Algebraic cycles and tate classes on hilbert modular varieties.” International Journal of Number Theory 10, no. 1 (February 1, 2014): 161–76. https://doi.org/10.1142/S1793042113500875.Full Text
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Getz, J. R., and E. Wambach. “Twisted relative trace formulae with a view towards unitary groups.” American Journal of Mathematics 136 (January 3, 2014): 1–57.
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Getz, J. R. “An approach to nonsolvable base change and descent.” Journal of the Ramanujan Mathematical Society 27, no. 2 (2012): 143–211.Link to Item
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Getz, J. “Intersection numbers of Hecke cycles on Hilbert modular varieties.” American Journal of Mathematics 129, no. 6 (December 1, 2007): 1623–58. https://doi.org/10.1353/ajm.2007.0041.Full Text
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Basha, S., J. Getz, H. Nover, and E. Smith. “Systems of orthogonal polynomials arising from the modular j-function.” Journal of Mathematical Analysis and Applications 289, no. 1 (January 1, 2004): 336–54. https://doi.org/10.1016/j.jmaa.2003.09.067.Full Text
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Getz, J. “A generalization of a theorem of Rankin and Swinnerton-Dyer on zeros of modular forms.” Proceedings of the American Mathematical Society 132, no. 8 (January 1, 2004): 2221–31. https://doi.org/10.1090/S0002-9939-04-07478-7.Full Text
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Getz, J., and K. Mahlburg. “Partition identities and a theorem of Zagier.” Journal of Combinatorial Theory. Series A 100, no. 1 (January 1, 2002): 27–43. https://doi.org/10.1006/jcta.2002.3276.Full Text
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Getz, J. “Extension of a theorem of Kiming and Olsson for the partition function.” Ramanujan Journal 5, no. 1 (March 1, 2001): 47–51. https://doi.org/10.1023/A:1011441111570.Full Text
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Getz, Jayce, Chun-Hsien Hsu, and Spencer Leslie. “Harmonic analysis on certain spherical varieties.” Journal of the European Mathematical Society, n.d.Link to Item
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Getz, Jayce, and Hsu Chun-Hsien. “The Fourier transform for triples of quadratic spaces,” n.d.Link to Item
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Getz, Jayce. “Schubert Eisenstein series and Poisson summation for Schubert varieties,” n.d.Link to Item
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Book Sections
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Getz, J., and M. Goresky. “Eisenstein series with coefficients in intersection homology.” In Progress in Mathematics, 298:179–82, 2012. https://doi.org/10.1007/978-3-0348-0351-9_11.Full Text
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Getz, J., and M. Goresky. “Generalities on Hilbert modular forms and varieties.” In Progress in Mathematics, 298:57–89, 2012. https://doi.org/10.1007/978-3-0348-0351-9_5.Full Text
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Getz, J., and M. Goresky. “The full version of theorem 1.3.” In Progress in Mathematics, 298:167–77, 2012. https://doi.org/10.1007/978-3-0348-0351-9_10.Full Text
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Getz, J., and M. Goresky. “Automorphic vector bundles and local systems.” In Progress in Mathematics, 298:91–110, 2012. https://doi.org/10.1007/978-3-0348-0351-9_6.Full Text
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Getz, J., and M. Goresky. “Review of chains and cochains.” In Progress in Mathematics, 298:21–28, 2012. https://doi.org/10.1007/978-3-0348-0351-9_2.Full Text
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Getz, J., and M. Goresky. “The automorphic description of intersection cohomology.” In Progress in Mathematics, 298:111–34, 2012. https://doi.org/10.1007/978-3-0348-0351-9_7.Full Text
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Getz, J., and M. Goresky. “Explicit construction of cycles.” In Progress in Mathematics, 298:151–66, 2012. https://doi.org/10.1007/978-3-0348-0351-9_9.Full Text
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Getz, J., and M. Goresky. “Review of intersection homology and cohomology.” In Progress in Mathematics, 298:29–39, 2012. https://doi.org/10.1007/978-3-0348-0351-9_3.Full Text
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Getz, J., and M. Goresky. “Review of arithmetic quotients.” In Progress in Mathematics, 298:41–55, 2012. https://doi.org/10.1007/978-3-0348-0351-9_4.Full Text
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Getz, J., and M. Goresky. “Hilbert modular forms with coefficients in a Hecke module.” In Progress in Mathematics, 298:135–50, 2012. https://doi.org/10.1007/978-3-0348-0351-9_8.Full Text
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- Teaching & Mentoring
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Recent Courses
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Advising & Mentoring
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Postdocs Mentored
Spencer Leslie (NSF postdoc, now at Boston College) 2018--2021
Michael Lipnowski (now at McGill), 2013--2016
Fritz Hoermann (now at Albert-Ludwigs-Universitat Freiburg), 2010--2011
Graduate Students Supervised
Jin Lee, Duke University, Fall 2022-present
Chun-Hsien Hsu, Duke University, Fall 2019-present
Pam Gu, PhD Candidate, Duke University, Fall 2018-present
Chung-Ru Lee, PhD 2021, Duke University, (Postdoc at National University of Singapore)
Huong Tran, PhD 2020, Duke University, (Postdoc at University of Kentucky)
Jason Pol\'{a}k, PhD 2016, McGill University (Postdoc at the University of Melbourne)
Maxime Turgeon, Master 2013, McGill University (PhD candidate in Statistics)
Undergraduate Students Supervised
Diego Sosa-Fundora, Lucas Fagan, Craig Fiedorek, Tony Sun, Henry Zhang, Summer 2019
Trung Can, Ben Nativi, Gary Zhou, Duke University, Summer 2017
Josh Izzard, Duke University, May 2013--Apr 2014
Jamie Klassen, McGill University, Summer 2012
Highschool Students Supervised
Nolan Miranda, May 2016-Aug 2016
Angela Deng, May 2014--Dec 2015
Erik Anderson, 2010--2011
Available to mentor:
- PhD
- Post-Doc
- Undergraduate
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Postdocs Mentored
- Scholarly, Clinical, & Service Activities
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Presentations & Appearances
- Integral representations related to triple product L-functions. Number Theory Seminar. Postech Mathematics Institute. December 2022 2022
- Introduction to stabilization in the context of relative trace formulae. Masterclass: relative trace formulae. University of Copenhagen. August 2022 2022
- Integral representations related to triple product L-functions. Number Theory Seminar. Universite Aix-Marseille. June 2022 2022
- The Poisson summation conjecture: known cases, prospects, and applications. Sur l'equation fonctionelle des fonctions L automorphes. College de France. June 2022 2022
- Summation formulae for quadrics. Recent developments in automorphic forms and representations of p-adic groups. AMS. March 2022 2022
- Summation formulae for quadrics. Periods, Functoriality and L-functions. CIRM. January 2022 2022
- Beyond endoscopy and boundary terms on reductive monoids with a view towards nonabelian trace formulae. Basic functions, orbital integrals, and beyond endoscopy. Banff International Research Station. November 2021 2021
- Poisson summation for flag and Schubert varieties. Colloquium. Purdue University. November 2021 2021
- An approach to triple product L-functions. Number theory seminar. Rutgers University. October 2021 2021
- The Poisson summation conjecture for generalized Schubert varieties. Algebra and number theory day. Johns Hopkins University. September 2021 2021
- Harmonic analysis on certain spherical varieties. Galois representations and automorphic forms. Mathematical Congress of the Americas. July 2021 2021
- Harmonic analysis on certain spherical varieties. Relative aspects of the Langlands program, L-functions, and beyond endoscopy. Centre International de Rencontres Mathematiques. May 2021 2021
- New avenues for the circle method. The Circle Method: Entering its Second Century. Hausdorff Center for Mathematics. May 2021 2021
- Harmonic analysis on certain spherical varieties. Representation theory and number theory seminar. National University of Singapore. April 2021 2021
- Harmonic analysis on certain spherical varieties. Recent developments in automorphic representations. AMS. March 2021 2021
- A Poisson summation formula for triples of quadratic spaces. Colloquium. Postech Mathematics Institute. November 2020 2020
- Summation formulae and triple product L-functions. Number Theory Seminar. Postech Mathematics Institute. November 2020 2020
- A Poisson summation formula for triples of quadratic spaces. Recent Trends in Arithmetic Geometry and Representation Theory. Korean Mathematical Society. October 2020 2020
- On triple product L-functions. Number Theory Seminar. Princeton/IAS. May 2020 2020
- On triple product L-functions. UCLA. May 2020 2020
- On triple product L-functions. Number Theory and Representation Theory Seminar. University of Wisconsin-Madison. April 2020 2020
- Summation formulae for triples of quadratic forms. Hawaii Number Theory Conference. University of Hawaii at Manoa. March 2019 2019
- On triple product L-functions. On the Langlands Program: Endoscopy and Beyond. IMS-NUS. January 2019 2019
- Secondary terms for the number of solutions of quadratic forms. On Counting Methods in Number Theory. AMS. January 2019 2019
- On triple product L-functions. BC-MIT number theory seminar. December 2018 2018
- Proving summation formulae for spherical varieties. Workshop on L-functions, Langlands functoriality and trace formula, including relative aspects. September 2, 2018 - September 8, 2018 2018
- Summation formulae for triples of quadratic forms. Joint AMS-CMS meeting. Fudan University. June 2018 2018
- Summation formulae and speculations on period integrals attached to triples of automorphic representations. Number Theory Seminar. Northwestern University. May 2018 2018
- Summation formulae and speculations on period integrals attached to triples of automorphic representations. Number Theory Seminar. University of British Columbia. April 2018 2018
- Summation formulae and speculations on period integrals attached to triples of automorphic representations. Joint Number Theory Seminar. Princeton and the Institute for Advanced Study. March 2018 2018
- Summation formulae and speculations on period integrals attached to triples of automorphic representations. Lie Groups Seminar. Cornell University. March 2018 2018
- New families of period integrals for general linear groups. Automorphic Forms and Representation Theory Seminar. Purdue University. February 2018 2018
- Summation formulae and speculations on L-functions attached to triples of automorphic representations. Joint Number Theory Seminar. Columbia, CUNY, NYU. February 2018 2018
- A summation formula for triples of quadratic spaces. Algebra and Number Theory Seminar. Yale University. November 2017 2017
- A summation formula for triples of quadratic spaces. Group, Lie and Number Theory Seminar. University of Michigan. November 2017 2017
- 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 Rankin-Selberg monoid via the circle method. Automorphic Forms and Related Topics. AMS special session. May 2017 2017
- Summation formula for the Rankin-Selberg monoid via the circle method. Harmonic analysis and the trace formula. MFO. May 2017 2017
- Summation formula for the Rankin-Selberg 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 L-functions and limiting forms of trace formulae. Number Theory Seminar. Korea Institute for Advanced study (KIAS). August 2016 2016
- Triple product L-functions and limiting forms of trace formulae. Number Theory Seminar. Yonsei University. August 2016 2016
- Triple product L-functions and limiting forms of trace formulae. Automorphic Forms Workshop. Wake Forest University. March 2016 2016
- Triple product L-functions and limiting forms of trace formulae. Langlands Program Seminar. CUNY Graduate Center. March 2016 2016
- Triple product L-functions and limiting forms of trace formulae. Number Theory Seminar. Boston College. March 2016 2016
- Four-variable automorphic kernel functions. Illinois Number Theory Conference. UIUC. August 2015 2015
- Remarks on a paper of Frenkel, Langlands, and Ngo. Workshop on L-functions and trace formula. Purdue University. May 2015 2015
- Descent and base change with a view towards the Artin conjecture. 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
- An approach to nonsolvable base change for GL(2). Grad/Fac seminar. Duke University. February 2013 2013
- An approach to nonsolvable base change for GL(2). Number theory seminar. University of South Carolina. December 2012 2012
- An approach to nonsolvable base change for GL(2). Athens/Atlanta Number Theory Day. Emory University. October 2012 2012
- An approach to nonsolvable base change for GL(2). Midwest Number Theory Day. UIUC. October 2012 2012
- An approach to nonsolvable base change for GL(2). Number theory seminar. Harvard University. April 2012 2012
- Hilbert modular forms with coefficients in intersection homology. Séminaire d'Algèbre et de Géométrie Gradué. Laval University. March 2012 2012
- An approach to nonsolvable base change for GL(2). Colloquium. Duke University. February 2012 2012
- An approach to nonsolvable base change for GL(2). Colloquium. Johns Hopkins University. January 2012 2012
- An approach to nonsolvable base change for GL(2). Colloquium. University of Maryland. January 2012 2012
- An approach to nonsolvable base change for GL(2). Colloquium. Cornell University. November 2011 2011
- Distinction, special cycles, and twisted relative trace fomulae. Number theory seminar. University of Chicago. May 2011 2011
- Intersection numbers of Hecke cycles on Hilbert modular varieties. Montreal-Toronto Meeting on Hilbert modular varieties. Fields Institute. April 2011 2011
- Twisted relative endoscopy. Number theory/algebraic geometry seminar. Yale University. March 2011 2011
- Relative endoscopy and arithmetic geometry of Shimura varieties. Special values of L-functions and arithmetic geometry. October 2010 2010
- Relative endoscopy and arithmetic of Shimura varieties. Number theory seminar. Kyoto University. October 2010 2010
- Relative endoscopy and arithmetic of Shimura varieties. Montreal-Toronto Meeting on Arithmetic of Shimura varieties. CRM, Montreal. September 2010 2010
- Elliptic descent of global orbital integrals. Canadian Number Theory Association XI. Acadia University. July 2010 2010
- Twisted relative trace formulae. Lie theory seminar. Cornell University. October 2009 2009
- Twisted relative trace formulae with applications to unitary groups. Algebraic Geometry/Number Theory Seminar. Johns Hopkins University. February 2009 2009
- Trace formulae and locally symmetric spaces. Colloquium. Boston College. January 2009 2009
- Trace formulae and locally symmetric spaces. Colloquium. McGill University. December 2008 2008
- Trace formulae and locally symmetric spaces. Members' Seminar. IAS. December 2008 2008
- Twisted relative trace formulae with applications to unitary groups. Quebec-Vermont number theory seminar. McGill University. December 2008 2008
- Twisted relative trace formulae with applications to unitary groups. Number theory seminar. McMaster University. November 2008 2008
- Twisted relative trace formulae with applications to unitary groups. Number theory/representation theory seminar. University of Toronto. November 2008 2008
- Twisted relative trace formulae with applications to unitary groups. Shimura varieties and trace formula seminar. IAS. November 2008 2008
- Twisted relative trace formulae with applications to unitary groups. Automorphic forms/number theory seminar. University of Minnesota. September 2008 2008
- Twisted relative trace formulae with applications to unitary groups. Number theory seminar. University of Maryland. September 2008 2008
- Twisted relative trace formulae. Colloquium. University of Minnesota. September 2008 2008
- Twisted relative trace formulae with a view towards unitary groups. Workshop on locally symmetric spaces. Banff International Research Station. May 2008 2008
- Jacquet-Langlands transfer and distinction. Number theory seminar. Caltech. February 2008 2008
- Jacquet-Langlands transfer and distinction. Number theory seminar. UCLA. February 1, 2008 2008
- Relative trace formulae with a view towards Shimura varieties. Number theory/representation theory seminar. University of Michigan. February 2008 2008
- Hilbert modular forms with coefficients in intersection homology. Algebra/Number Theory Seminar. Penn State University. November 2007 2007
- Hilbert modular forms with coefficients in intersection homology. Algebraic Geomerty Seminar. Duke University. October 2007 2007
- Hilbert modular forms with coefficients in intersection homology. Joint Number Theroy Seminar. Princeton University and IAS. September 2007 2007
- Hilbert modular forms with coefficients in intersection homology. Algebraic Geomerty Seminar. University of Chicago. May 2007 2007
- Hilbert modular forms with coefficients in intersection homology. Automorphic Forms Seminar. University of Minnesota. March 2007 2007
- Hilbert modular forms with coefficients in intersection homology. Number theory/representation theory seminar. University of Toronto. March 2007 2007
- Hilbert modular forms with coefficients in intersection homology. Number theory seminar. Boston College. February 2007 2007
- Intersection homology theory of Hilbert modualr varieties. Mathematics Seminar. Johns Hopkins University. January 2007 2007
- Hilbert modular forms with coefficients in intersection homology. Automorphic forms/Representation theory seminar. Purdue University. November 2006 2006
- Hilbert modular forms with coefficients in intersection homology. Midwest Number Theory Conference IV. UIUC. October 2006 2006
- Hilbert modular forms with coefficients in intersection homology. Number theory seminar. Ohio State University. October 2006 2006
- Hilbert modular forms with coefficients in intersection homology. Arithmetic Geometry Semina. Humboldt University. July 2006 2006
- Hilbert modular forms with coefficients in intersection homology. Recent Developments in the Arithmetic of Shimura Varieties and Arakelov. CRM, Bellaterra, Spain. July 2006 2006
- Hilbert modular forms with coefficients in intersection homology. AMS Special Session on Computational Arithmetic Geometry. AMS. April 2006 2006
- Hilbert modular forms with coefficients in intersection homology. Combinatorics/Algebra/Number Theory Seminar. Iowa State University. April 2006 2006
- Hilbert modular forms with coefficients in intersection homology. AMS Special Session on Arithmetic Geometry/Modular Forms. AMS. January 2006 2006
- Hilbert modular forms with coefficients in intersection homology. Automorphic representations, L-functions, and Periods. RIMS Kyoto. January 2006 2006
- Introduction to intersection homology. Mathmatics Seminar. Osaka University. January 2006 2006
- Hilbert modular forms with coefficients in intersection homology. Intersection of Arithmetic Cycles and Automorphic Forms. CRM. December 2005 2005
- Hilbert modular forms with coefficients in intersection homology. Number theory seminar. Brown University. November 2005 2005
- Hilbert modular forms with coefficients in intersection homology. Number theory seminar. Johns Hopkins University. November 2005 2005
- Intersection numbers of Hecke cycles on Hilbert modular varieties. Midwest Number Theory Conference III. University of Wisconsin. November 2005 2005
- Hilbert modular forms with coefficients in intersection homology. Number theory seminar. UCLA. October 2005 2005
- Intersection numbers of Hecke cycles on Hilbert modular varieties. NSF Focused Research Group workshop. University of Maryland. October 2005 2005
- Intersection numbers of Hecke cycles on Hilbert modular varieties. ArithmeTexas. Texas A&M. April 2005 2005
- Intersection numbers of Hecke cycles on Hilbert modular varieties. Number theory seminar. University of Rochester. March 2005 2005
- Intersection numbers of Hecke cycles on Hilbert modular varieties. The 19th Annual Automorphic Forms Workshop. UTexas at Denton. March 2005 2005
- Intersection numbers of Hecke cycles on Hilbert modular varieties. Midwest Number Theory Conference II. UIUC. February 2005 2005
- Intersection numbers of Hecke cycles on Hilbert modular varieties. Number theory seminar. University of Wisconsin. February 2005 2005
- Systems of orthogonal polynomials arising from the modular j-function. Additive Number Theory Conference. University of Florida. November 2004 2004
- Systems of orthogonal polynomials arising from the modular j-function. Additive Number Theory Conference. University of Florida. November 2004 2004
- Classical and p-adic modular forms arising from the Borcherds exponents of other modular forms. Joint Trivial Notions and Modular Seminar. Harvard University. April 2004 2004
- Systems of orthogonal polynomials arising from the modular j-function. AMS special session on continued fractions. AMS. January 2004 2004
- Systems of orthogonal polynomials arising from the modular j-function. Big Sky Conference on Discrete Math. University of Montana. September 2003 2003
- Systems of orthogonal polynomials arising from the modular j-function. Modular Curves Seminar. Harvard University. September 2003 2003
- Systems of orthogonal polynomials arising from the modular j-function. Number theory seminar. University of Wisconsin. July 2003 2003
- A generalization of a theorem of Rankin and Swinnerton-Dyer on zeros of modular forms. Number theory seminar. University of Wisconsin. July 2002 2002
- Partition identities and a theorem of Zagier. Math Table Seminar. Harvard University. November 2001 2001
- Partition identities and a theorem of Zagier. Modular Forms seminar. Harvard University. November 2001 2001
- Partition identities and a theorem of Zagier. Number theory seminar. University of Wisconsin. July 2001 2001
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Outreach & Engaged Scholarship
- SWIM speaker. SWIM. Duke University. 2018 - 2018 2018
- Judge. Greater Metropolitan New York Math Fair. Brooklyn Technical High School. March 2009 2009
- Invited Panelist. NSF Give a Day, Make a Difference Outreach. NSF. May 2004 2004
- Invited Speaker. International Mathematics Olympiad Awards Ceremony. July 2001 2001
- Invited Panelist. NSF 50 Scientists and Engineers in the Schools Outreach. NSF. May 2001 2001
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Service to the Profession
- Referee. Israel Journal of Mathematics. 2022 2022
- Referee. Journal of the London Mathematical Society. 2022 2022
- Referee. Proceedings of the London Mathematical Society. 2022 2022
- Panelist. NSF DMS. 2020 2020
- Referee. Mathematische Annalen. 2020 2020
- Co-organizer. Recent developments in automorphic forms. AMS, University of Hawaii. March 2019 2019
- Referee. Duke Mathematical Journal. 2019 2019
- Referee. Manuscripta Mathematica. 2019 2019
- Referee. Mathematische Zeitschrift. 2019 2019
- Referee. Transactions of the American Mathematical Society. 2019 2019
- Invited participant. Sixth Abel Conference: A Mathematical Celebration of Robert P. Langlands. Institute for Mathematics and its Applications. November 2018 2018
- Participant. Representation theory and analysis in locally symmetric spaces. Institute for Advanced Study. March 2018 2018
- Referee. American Journal of Mathematics. 2018 2018
- Referee. Journal of Algebra and its Applications. 2018 2018
- Referee. Mathematische Zeitschrift. 2018 2018
- Invited Participant. Workshop on Functoriality and the trace formula. AIM. December 2017 2017
- Referee. Pacific Journal of Mathematics. 2017 2017
- Referee. Science China Mathematics. 2017 2017
- Participant. Workshop on Mod p/p-adic Langlands programs. Korean Institute for Advanced Study (KIAS). August 2016 2016
- Co-Organizer. Workshop on Automorphic Kernel Functions. American Institute of Mathematics (AIM). December 2015 2015
- NSA Grant Reviewer. 2015 2015
- Participant. Conference on Analysis, Spectra and Number Theory. Princeton University and IAS. December 2014 2014
- Co-Organizer. Automorphic Forms and Related Topics. AMS Special Session. November 2014 2014
- Referee. Algebra and Number Theory. 2014 2014
- Co-Founder and Co-Organizer. Number Theory Seminar. Duke University. September 2012 2012
- Co-Organizer. Algebraic Geometry Seminar. Duke University. September 2012 2012
- Referee. Advances in Mathematics. 2012 2012
- Referee. Algebra and Number Theory. 2012 2012
- Referee. Bulletin of the London Mathematical Society. 2012 2012
- Referee. Canadian Mathematical Bulletin. 2012 2012
- Referee. Compositio Mathematica. 2012 2012
- Referee. Documenta Mathematica. 2012 2012
- Referee. International Journal of Number Theory. 2012 2012
- Referee. Journal of the Mathematical Society of Japan. 2012 2012
- Co-Organizer. Bellairs Workshop in Number Theory. Barbado. May 2011 2011
- Co-Organizer. CRM-ISM Colloquium. McGill University. September 2010 2010
- Co-Organizer. Quebec-Vermont Number Theory Seminar. McGill University. September 2010 2010
- Invited Participant. Workshop on the stable trace formula, automorphic forms, and Galois representations. Banff International Research Station. August 2008 2008
- Participant. FRG workshop on recent Developments in Number Theory: Selmer Groups, L-functions, and Galois Deformation. UCLA. March 2008 2008
- Co-Organizer. Joint Number Theory Seminar. Princeton University and IAS. September 2007 2007
- Invited Participant. Workshop on the Tate conjecture'. AIM. July 2007 2007
- Participant. FRG workshop on Automorphic Galois Representations, L-functions and Arithmetic. Columbia University. June 2006 2006
- Participant. Advanced Course on Arakelov Geometry and Shimura Varieties. Centre de Recerca Matematica. February 2006 2006
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Service to Duke
- Graduate Admissions. January 2022 2022
- Thesis Defense Committee, Chung-Ru Lee. 2022 2022
- Co-Founder and Co-Organizer. Number Theory Seminar. Duke University. September 2021 2021
- Thesis Defense Committee, Chen An. 2021 2021
- Thesis defense committee, Thomas Tran. 2020 2020
- Faculty Leader. Duke Oportunities in Math (DOmath 2019). Duke University. 2019 - 2019 2019
- Faculty promotion. 2019 2019
- SWIM speaker. SWIM 2018 Speaker. Duke University. June 2018 2018
- Faculty Leader. Duke Opportunities in Math (DOmath2017). Duke University. May 2017 - August 2017 2017
- Duke University. Graduate Admission. January 2017 2017
- Pure ARP Search. January 2017 2017
- Duke University. Thesis defense committee, Humberto Diaz. May 2016 2016
- Duke University. Graduate Admission . January 2016 2016
- Duke University. Pure ARP Search. January 2015 2015
- Speaker. Grad/Faculty Seminar. February 2013 2013
- Duke University. Pure ARP Search. January 2013 2013
- Co-Organizer. Algebraic Geometry Seminar. Duke University. September 2012 2012
- Co-Founder and Co-Organizer. Number Theory Seminar. Duke University. 2012 - June 2020 2012 - 2020
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