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Jayce Robert Getz

Associate Professor of Mathematics
Mathematics
120 Science Drive, Durham, NC 27708
Office hours Please email me for office hours.  

Selected Presentations & Appearances


Automorphic kernel functions supported on base changes and nonabelian trace formulae - Special Session on Automorphic Forms, their Arithmetic, and their Applications · October 2023 Invited Talk AMS, Creighton University
Integral representations related to triple product L-functions - Lie Theory Seminar · April 2023 Invited Talk University of Minnesota
Fourier analysis beyond vector spaces - Colloquium · March 2023 Invited Talk University of Minnesota,
Integral representations related to triple product L-functions - Number Theory/Representation Theory Seminar · March 2023 Invited Talk Boston College,
Integral representations related to triple product L-functions - Number Theory Seminar · December 2022 Invited Talk Postech Mathematics Institute, Virtual
Introduction to stabilization in the context of relative trace formulae - Masterclass: Relative Trace Formulae · August 2022 Instructional Course, Workshop, or Symposium University of Copenhagen,
The Poisson summation conjecture: known cases, prospects, and applications - Sur l'Equation Fonctionelle des Fonctions L Automorphes · June 2022 Invited Talk College de France, Paris, France
Integral representations related to triple product L-functions - Number Theory Seminar · June 2022 Invited Talk Universite Aix-Marseille,
Summation formulae for quadrics - Special Session on Recent Developments in Automorphic Forms and Representations of p-adic Groups · March 2022 Invited Talk AMS, Virtual
Summation formulae for quadrics - Periods, Functoriality and L-functions · January 2022 Invited Talk CIRM, Marseille, France
Poisson summation for flag and Schubert varieties - Colloquium · November 2021 Invited Talk Purdue University,
Beyond endoscopy and boundary terms on reductive monoids with a view towards nonabelian trace formulae - Basic Functions, Orbital Integrals, and Beyond Endoscopy · November 2021 Invited Talk Banff International Research Station,
An approach to triple product L-functions - Number Theory Seminar · October 2021 Invited Talk Rutgers University,
The Poisson summation conjecture for generalized Schubert varieties - Algebra and Number Theory Day · September 2021 Invited Talk Johns Hopkins University,
Harmonic analysis on certain spherical varieties - Galois Representations and Automorphic Forms · July 2021 Invited Talk Mathematical Congress of the Americas,
New avenues for the circle method - The Circle Method: Entering its Second Century · May 2021 Instructional Course, Workshop, or Symposium Hausdorff Center for Mathematics,

4 lectures.

Harmonic analysis on certain spherical varieties - Relative Aspects of the Langlands Program, L-functions, and beyond Endoscopy · May 2021 Invited Talk Centre International de Rencontres Mathematiques,
Harmonic analysis on certain spherical varieties - Representation Theory and Number Theory Seminar · April 2021 Invited Talk National University of Singapore, Virtual
Harmonic analysis on certain spherical varieties - Recent Developments in Automorphic Representations · March 2021 Invited Talk AMS, Virtual
Summation formulae and triple product L-functions - Number Theory Seminar · November 2020 Invited Talk Postech Mathematics Institute,
A Poisson summation formula for triples of quadratic spaces - Colloquium · November 2020 Invited Talk Postech Mathematics Institute,
A Poisson summation formula for triples of quadratic spaces - Recent Trends in Arithmetic Geometry and Representation Theory · October 2020 Invited Talk Korean Mathematical Society, Annual meeting
On triple product L-functions - Number Theory Seminar · May 2020 Invited Talk UCLA,
On triple product L-functions - Number Theory Seminar · May 2020 Invited Talk Princeton/IAS,
On triple product L-functions - Number Theory and Representation Theory Seminar · April 2020 Invited Talk University of Wisconsin-Madison,
Summation formulae for triples of quadratic forms - Hawaii Number Theory Conference · March 2019 Invited Talk University of Hawaii at Manoa, Manoa
Secondary terms for the number of solutions of quadratic forms - Special Session on Counting Methods in Number Theory · January 2019 Invited Talk AMS, Baltimore
On triple product L-functions - On the Langlands Program: Endoscopy and Beyond · January 2019 Invited Talk IMS-NUS, Singapore
On triple product L-functions - BC-MIT Number Theory Seminar · December 2018 Invited Talk Boston College
Proving summation formulae for spherical varieties - Workshop on L-functions, Langlands Functoriality and Trace Formula, including Relative Aspects · September 2, 2018 - September 8, 2018 Invited Talk Porquerolles, France

I gave a lecture series of three talks.

Summation formulae for triples of quadratic forms - Joint AMS-CMS Meeting · June 2018 Invited Talk Fudan University, Shanghai China
Summation formulae and speculations on period integrals attached to triples of automorphic representations - Number Theory Seminar · May 2018 Invited Talk Northwestern University,
Summation formulae and speculations on period integrals attached to triples of automorphic representations - Number Theory Seminar · April 2018 Invited Talk University of British Columbia,
Summation formulae and speculations on period integrals attached to triples of automorphic representations - Joint Number Theory Seminar · March 2018 Invited Talk Princeton and the Institute for Advanced Study,
Summation formulae and speculations on period integrals attached to triples of automorphic representations - Lie Groups Seminar · March 2018 Invited Talk Cornell University,
Summation formulae and speculations on L-functions attached to triples of automorphic representations - Joint Number Theory Seminar · February 2018 Invited Talk Columbia, CUNY, NYU,
New families of period integrals for general linear groups - Automorphic Forms and Representation Theory Seminar · February 2018 Invited Talk Purdue University, Purdue
A summation formula for triples of quadratic spaces - Group, Lie and Number Theory Seminar · November 2017 Invited Talk University of Michigan,
A summation formula for triples of quadratic spaces - Algebra and Number Theory Seminar · November 2017 Invited Talk Yale University,
A summation formula for triples of quadratic spaces - Automorphic Forms and Related Topics · August 2017 Invited Talk Vietnam Institute Advanced Study in Math (VIASM), Ha Long in Vietnam
Summation formula for the Rankin-Selberg monoid via the circle method - Harmonic Analysis and the Trace Formula · May 2017 Invited Talk MFO, Oberwolfach, Germany
Summation formula for the Rankin-Selberg monoid via the circle method - Special Session on Automorphic Forms and Related Topics · May 2017 Invited Talk AMS, Hunter College
Summation formula for the Rankin-Selberg monoid via the circle method - Automorphic Forms and Representation Seminar Seminar · February 2017 Invited Talk Purdue University,
Triple product L-functions and limiting forms of trace formulae - Number Theory Seminar · August 2016 Invited Talk Yonsei University, Seoul, Korea
Triple product L-functions and limiting forms of trace formulae - Number Theory Seminar · August 2016 Invited Talk Korea Institute for Advanced study (KIAS), Seoul, Korea
Langlands functoriality conjecture - Department Colloquium · August 2016 Invited Talk Sookmyung Women's University, Seoul, Korea
Triple product L-functions and limiting forms of trace formulae - Automorphic Forms Workshop · March 2016 Invited Talk Wake Forest University,
Triple product L-functions and limiting forms of trace formulae - Langlands Program Seminar · March 2016 Invited Talk CUNY Graduate Center,
Triple product L-functions and limiting forms of trace formulae - Number Theory Seminar · March 2016 Invited Talk Boston College,
Four-variable automorphic kernel functions - Illinois Number Theory Conference · August 2015 Invited Talk UIUC,
Remarks on a paper of Frenkel, Langlands, and Ngo - Workshop on L-functions and Trace Formula · May 2015 Invited Talk Purdue University,
Descent and base change with a view towards the Artin conjecture - Colloquium · January 2015 Invited Talk Emory University,
A nonabelian trace formula - ELEFANT Workshop · July 2014 Invited Talk Hausdorff Center, Bonn, Germany
A nonabelian trace formula - Special Seminar · December 2013 Invited Talk University of Chicago,
An approach to nonsolvable base change for GL(2) - Lie Theory Seminar · April 2013 Invited Talk University of Minnesota,

Invited Lectures

An approach to nonsolvable base change for GL(2) - Grad/Fac Seminar · February 2013 Lecture Duke University,
An approach to nonsolvable base change for GL(2) - Number Theory Seminar · December 2012 Invited Talk University of South Carolina,
An approach to nonsolvable base change for GL(2) - Midwest Number Theory Day · October 2012 Invited Talk UIUC,
An approach to nonsolvable base change for GL(2) - Athens/Atlanta Number Theory Day · October 2012 Invited Talk Emory University,
An approach to nonsolvable base change for GL(2) - Number Theory Seminar · April 2012 Invited Talk Harvard University,
Hilbert modular forms with coefficients in intersection homology - Séminaire d'Algèbre et de Géométrie Gradué · March 2012 Invited Talk Laval University,
An approach to nonsolvable base change for GL(2) - Colloquium · February 2012 Invited Talk Duke University,
An approach to nonsolvable base change for GL(2) - Colloquium · January 2012 Invited Talk University of Maryland,
An approach to nonsolvable base change for GL(2) - Colloquium · January 2012 Invited Talk Johns Hopkins University,
An approach to nonsolvable base change for GL(2) - Colloquium · November 2011 Invited Talk Cornell University,
Distinction, special cycles, and twisted relative trace fomulae - Number Theory Seminar · May 2011 Invited Talk University of Chicago,
Intersection numbers of Hecke cycles on Hilbert modular varieties - Montreal-Toronto Meeting on Hilbert Modular Varieties · April 2011 Lecture Fields Institute,
Twisted relative endoscopy - Number Theory/Algebraic Geometry Seminar · March 2011 Invited Talk Yale University,
Relative endoscopy and arithmetic geometry of Shimura varieties - Special Values of L-functions and Arithmetic Geometry · October 2010 Invited Talk Miyama, Kyoto, Japan
Relative endoscopy and arithmetic of Shimura varieties - Number Theory Seminar · October 2010 Invited Talk Kyoto University,
Relative endoscopy and arithmetic of Shimura varieties - Montreal-Toronto Meeting on Arithmetic of Shimura varieties · September 2010 Lecture CRM, Montreal,
Elliptic descent of global orbital integrals - Canadian Number Theory Association XI · July 2010 Invited Talk Acadia University,
Twisted relative trace formulae - Lie Theory Seminar · October 2009 Invited Talk Cornell University,
Twisted relative trace formulae with applications to unitary groups - Algebraic Geometry/Number Theory Seminar · February 2009 Invited Talk Johns Hopkins University,
Trace formulae and locally symmetric spaces - Colloquium · January 2009 Invited Talk Boston College,
Twisted relative trace formulae with applications to unitary groups - Quebec-Vermont Number Theory Seminar · December 2008 Invited Talk McGill University,
Trace formulae and locally symmetric spaces - Colloquium · December 2008 Lecture McGill University,
Trace formulae and locally symmetric spaces - Members' Seminar · December 2008 Lecture IAS,
Twisted relative trace formulae with applications to unitary groups - Number Theory Seminar · November 2008 Invited Talk McMaster University,
Twisted relative trace formulae with applications to unitary groups - Shimura Varieties and Trace Formula Seminar · November 2008 Invited Talk IAS,
Twisted relative trace formulae with applications to unitary groups - Number Theory/Representation Theory Seminar · November 2008 Invited Talk University of Toronto,
Twisted relative trace formulae - Colloquium · September 2008 Invited Talk University of Minnesota,
Twisted relative trace formulae with applications to unitary groups - Automorphic Forms/Number Theory Seminar · September 2008 Invited Talk University of Minnesota,
Twisted relative trace formulae with applications to unitary groups - Number Theory Seminar · September 2008 Invited Talk University of Maryland,
Twisted relative trace formulae with a view towards unitary groups - Workshop on Locally Symmetric Spaces · May 2008 Invited Talk Banff International Research Station,
Jacquet-Langlands transfer and distinction - Number Theory Seminar · February 1, 2008 Invited Talk UCLA,
Relative trace formulae with a view towards Shimura varieties - Number Theory/Representation Theory Seminar · February 2008 Invited Talk University of Michigan,
Jacquet-Langlands transfer and distinction - Number Theory Seminar · February 2008 Invited Talk Caltech,
Hilbert modular forms with coefficients in intersection homology - Algebra/Number Theory Seminar · November 2007 Invited Talk Penn State University,
Hilbert modular forms with coefficients in intersection homology - Algebraic Geomerty Seminar · October 2007 Invited Talk Duke University,
Hilbert modular forms with coefficients in intersection homology - Joint Number Theroy Seminar · September 2007 Invited Talk Princeton University and IAS,
Hilbert modular forms with coefficients in intersection homology - Algebraic Geomerty Seminar · May 2007 Invited Talk University of Chicago,
Hilbert modular forms with coefficients in intersection homology - Number Theory/Representation Theory Seminar · March 2007 Invited Talk University of Toronto,
Hilbert modular forms with coefficients in intersection homology - Automorphic Forms Seminar · March 2007 Invited Talk University of Minnesota,
Hilbert modular forms with coefficients in intersection homology - Number Theory Seminar · February 2007 Invited Talk Boston College,
Intersection homology theory of Hilbert modualr varieties - Mathematics Seminar · January 2007 Invited Talk Johns Hopkins University,
Hilbert modular forms with coefficients in intersection homology - Automorphic Forms/Representation Theory Seminar · November 2006 Invited Talk Purdue University,
Hilbert modular forms with coefficients in intersection homology - Number Theory Seminar · October 2006 Invited Talk Ohio State University,
Hilbert modular forms with coefficients in intersection homology - Midwest Number Theory Conference IV · October 2006 Other UIUC,
Hilbert modular forms with coefficients in intersection homology - Arithmetic Geometry Semina · July 2006 Invited Talk Humboldt University, Germany
Hilbert modular forms with coefficients in intersection homology - Recent Developments in the Arithmetic of Shimura Varieties and Arakelov · July 2006 Other CRM, Bellaterra, Spain,
Hilbert modular forms with coefficients in intersection homology - Special Session on Computational Arithmetic Geometry · April 2006 Invited Talk AMS, San Francisco
Hilbert modular forms with coefficients in intersection homology - Combinatorics/Algebra/Number Theory Seminar · April 2006 Invited Talk Iowa State University,
Hilbert modular forms with coefficients in intersection homology - Automorphic representations, L-functions, and Periods · January 2006 Invited Talk RIMS Kyoto,
Hilbert modular forms with coefficients in intersection homology - Special Session on Arithmetic Geometry/Modular Forms · January 2006 Invited Talk AMS, San Antonio, TX
Introduction to intersection homology - Mathematics Seminar · January 2006 Invited Talk Osaka University,
Hilbert modular forms with coefficients in intersection homology - Intersection of Arithmetic Cycles and Automorphic Forms · December 2005 Invited Talk CRM,
Hilbert modular forms with coefficients in intersection homology - Number Theory Seminar · November 2005 Invited Talk Johns Hopkins University,
Hilbert modular forms with coefficients in intersection homology - Number Theory Seminar · November 2005 Invited Talk Brown University,
Intersection numbers of Hecke cycles on Hilbert modular varieties - Midwest Number Theory Conference III · November 2005 Other University of Wisconsin,
Hilbert modular forms with coefficients in intersection homology - Number Theory Seminar · October 2005 Invited Talk UCLA,
Intersection numbers of Hecke cycles on Hilbert modular varieties - NSF Focused Research Group workshop · October 2005 Invited Talk University of Maryland,
Intersection numbers of Hecke cycles on Hilbert modular varieties - ArithmeTexas · April 2005 Other Texas A&M,
Intersection numbers of Hecke cycles on Hilbert modular varieties - The 19th Annual Automorphic Forms Workshop · March 2005 Other UTexas at Denton,
Intersection numbers of Hecke cycles on Hilbert modular varieties - Number Theory Seminar · March 2005 Invited Talk University of Rochester,
Intersection numbers of Hecke cycles on Hilbert modular varieties - Midwest Number Theory Conference II · February 2005 Other UIUC,
Intersection numbers of Hecke cycles on Hilbert modular varieties - Number Theory Seminar · February 2005 Invited Talk University of Wisconsin,
Systems of orthogonal polynomials arising from the modular j-function - Additive Number Theory Conference · November 2004 Other University of Florida,
Systems of orthogonal polynomials arising from the modular j-function - Additive Number Theory Conference · November 2004 Lecture University of Florida,
Classical and p-adic modular forms arising from the Borcherds exponents of other modular forms - Joint Trivial Notions and Modular Seminar · April 2004 Invited Talk Harvard University,
Systems of orthogonal polynomials arising from the modular j-function - Special Session on Continued Fractions · January 2004 Lecture AMS, Phoenix, AZ
Systems of orthogonal polynomials arising from the modular j-function - Big Sky Conference on Discrete Math · September 2003 Other University of Montana,
Systems of orthogonal polynomials arising from the modular j-function - Modular Curves Seminar · September 2003 Lecture Harvard University,
Systems of orthogonal polynomials arising from the modular j-function - Number Theory Seminar · July 2003 Invited Talk University of Wisconsin,
A generalization of a theorem of Rankin and Swinnerton-Dyer on zeros of modular forms - Number Theory Seminar · July 2002 Invited Talk University of Wisconsin,
Partition identities and a theorem of Zagier - Modular Forms Seminar · November 2001 Invited Talk Harvard University,
Partition identities and a theorem of Zagier - Math Table Seminar · November 2001 Invited Talk Harvard University,
Partition identities and a theorem of Zagier - Number Theory Seminar · July 2001 Invited Talk University of Wisconsin,

Outreach & Engaged Scholarship


Lecturer - GROW · October 2023 Community Development , Duke Gave the lecture ``Why and how to be a mathematician: with vignettes from the Langlands program."
SWIM speaker - SWIM · 2018 - 2018 Community Outreach Duke University
Judge - Greater Metropolitan New York Math Fair · March 2009 Community Outreach Brooklyn Technical High School
Invited Panelist - NSF Give a Day, Make a Difference Outreach · May 2004 Community Outreach NSF , Missoula, MT
Invited Speaker - International Mathematics Olympiad Awards Ceremony · July 2001 Community Outreach , Washington DC
Invited Panelist - NSF 50 Scientists and Engineers in the Schools Outreach · May 2001 Community Outreach NSF , Missoula, MT

Service to the Profession


Sole organizer - Duke Research Scholars · December 2023 - March 2024 Event/Organization Administration Duke Mathematics Department,
Referee - Israel Journal of Mathematics · 2022 Other
Referee - Annales Mathématiques du Québec · 2022 Other
Referee - Journal of the London Mathematical Society · 2022 Other
Referee - Proceedings of the London Mathematical Society · 2022 Other
Referee - Annals of Mathematics Studies · 2022 Other
Referee - Proceedings of the AMS · 2022 Other
Referee - Journal of Number Theory · 2021 Other
Panelist - NSF DMS · 2020 Committee Service
Referee - Mathematische Annalen · 2020 Other
Co-organizer - Recent developments in automorphic forms · March 2019 Event/Organization Administration AMS, University of Hawaii, Manoa, Hawaii
Referee - Duke Mathematical Journal · 2019 Other
Referee - Manuscripta Mathematica · 2019 Other
Referee - Transactions of the American Mathematical Society · 2019 Other
Referee - Mathematische Zeitschrift · 2019 Other
Invited participant - Sixth Abel Conference: A Mathematical Celebration of Robert P. Langlands · November 2018 Event Attendance Institute for Mathematics and its Applications, Minneapolis, MN
Participant - Representation theory and analysis in locally symmetric spaces · March 2018 Event Attendance Institute for Advanced Study,
Referee - Journal of Algebra and its Applications · 2018 Other
Referee - American Journal of Mathematics · 2018 Other
Referee - Mathematische Zeitschrift · 2018 Other
Invited Participant - Workshop on Functoriality and the trace formula · December 2017 Event Attendance AIM,
Referee - Science China Mathematics · 2017 Other
Referee - Pacific Journal of Mathematics · 2017 Other
Participant - Workshop on Mod p/p-adic Langlands programs · August 2016 Event Attendance Korean Institute for Advanced Study (KIAS),
Co-Organizer - Workshop on Automorphic Kernel Functions · December 2015 Event/Organization Administration American Institute of Mathematics (AIM),
NSA Grant Reviewer · 2015 Other
Participant - Conference on Analysis, Spectra and Number Theory · December 2014 Event Attendance Princeton University and IAS,
Co-Organizer - Automorphic Forms and Related Topics · November 2014 Event/Organization Administration AMS Special Session, University of North Carolina at Greensboro
Referee - Algebra and Number Theory · 2014 Other
Co-Founder and Co-Organizer - Number Theory Seminar · September 2012 Event/Organization Administration Duke University,
Co-Organizer - Algebraic Geometry Seminar · September 2012 Event/Organization Administration Duke University,
Referee - Journal of the Mathematical Society of Japan · 2012 Other
Referee - International Journal of Number Theory · 2012 Other
Referee - Documenta Mathematica · 2012 Other
Referee - Compositio Mathematica · 2012 Other
Referee - Canadian Mathematical Bulletin · 2012 Other
Referee - Bulletin of the London Mathematical Society · 2012 Other
Referee - Algebra and Number Theory · 2012 Other
Referee - Advances in Mathematics · 2012 Other
Co-Organizer - Bellairs Workshop in Number Theory · May 2011 Other Barbado,
Co-Organizer - CRM-ISM Colloquium · September 2010 Event/Organization Administration McGill University,
Co-Organizer - Quebec-Vermont Number Theory Seminar · September 2010 Event/Organization Administration McGill University,
Invited Participant - Workshop on the stable trace formula, automorphic forms, and Galois representations · August 2008 Event Attendance Banff International Research Station,
Participant - FRG workshop on recent Developments in Number Theory: Selmer Groups, L-functions, and Galois Deformation · March 2008 Event Attendance UCLA,
Co-Organizer - Joint Number Theory Seminar · September 2007 Event/Organization Administration Princeton University and IAS,
Invited Participant - Workshop on the Tate conjecture' · July 2007 Event Attendance AIM,
Participant - FRG workshop on Automorphic Galois Representations, L-functions and Arithmetic · June 2006 Event Attendance Columbia University,
Participant - Advanced Course on Arakelov Geometry and Shimura Varieties · February 2006 Event Attendance Centre de Recerca Matematica, Barcelona, Spain

Service to Duke


Graduate Admissions (Department) · January 2024 Committee Service
Thesis Defense Committee, Pam Gu (Department) · 2023 Committee Service
Graduate Admissions (Department) · January 2023 Committee Service
Thesis Defense Committee, Chung-Ru Lee (Department) · 2022 Committee Service
Graduate Admissions (Department) · January 2022 Committee Service
Co-Founder and Co-Organizer . Number Theory Seminar · September 2021 Event/Organization Administration Duke University,
Thesis Defense Committee, Chen An (Department) · 2021 Committee Service
Thesis defense committee, Thomas Tran (Department) · 2020 Committee Service
Faculty Leader . Duke Oportunities in Math (DOmath 2019) · 2019 - 2019 Event/Organization Administration Duke University, Duke University
Faculty promotion (Department) · 2019 Committee Service
SWIM speaker . SWIM 2018 Speaker · June 2018 Other Duke University,
Faculty Leader . Duke Opportunities in Math (DOmath2017) · May 2017 - August 2017 Event/Organization Administration Duke University,
Pure ARP Search (Department) · January 2017 Committee Service
Graduate Admission (Department) · January 2017 Committee Service Duke University,
Thesis defense committee, Humberto Diaz (Department) · May 2016 Committee Service Duke University,
Graduate Admission (Department) · January 2016 Committee Service Duke University,
Pure ARP Search (Department) · January 2015 Committee Service Duke University,
Speaker . Grad/Faculty Seminar · February 2013 Other
Pure ARP Search (Department) · January 2013 Committee Service Duke University,
Co-Organizer . Algebraic Geometry Seminar · September 2012 Event/Organization Administration Duke University,
Co-Founder and Co-Organizer . Number Theory Seminar · 2012 - June 2020 Event/Organization Administration Duke University,