Heekyoung Hahn
Associate Research Professor of Mathematics
Number Theory in the large: Automorphic represenations, Trace formula, Laplacian eigenfunctions and LittlewoodRichardson coefficients
Current Research Interests
Langlands' beyond endoscopy proposal for establishing functoriality motivates interesting and concrete problems in the representation theory of algebraic groups. Historically, there are important antecedents of this in the relationship between Artin Lfunctions and Brauer theory, a beautiful subject combining Galois theory and finite group theory. At this point very little is known about the general picture and thus the community is in dire need of concrete examples. My current work is devoted to producing such examples using techniques from the representation theory of finite groups and algebraic groups.
Current Appointments & Affiliations
 Associate Research Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2020
Contact Information
 220 Physics, Durham, NC 27708
 hahn@math.duke.edu (919) 6602850
 Personal Website
 Background

Education, Training, & Certifications
 Ph.D., University of Illinois, UrbanaChampaign 2004

Duke Appointment History
 Assistant Research Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2014  2020
 Visiting Assistant Professor in the Department of Mathematics, Mathematics, Trinity College of Arts & Sciences 2012  2014

Leadership & Clinical Positions at Duke

Director of Outreach and Public Lectures, August 2019
Associate Director of Undergraduate Research and Prizes, August 2019

Director of Outreach and Public Lectures, August 2019

Academic Positions Outside Duke
 Visiting Professor, Pohang University of Science and Technology (POSTECH). 2020  2021
 Member, Institute for Advanced Study. 2018
 Visiting Scholar, Korea Institute for Advanced Study. 2016
 Visiting Assistant Professor, McGill University. 2010  2012
 Tenure Track Assistant Professor, Univeristy at Albany (SUNY). 2007  2011
 Visiting Assistant Professor, University of Rochester. 2004  2007
 Recognition

In the News

JUN 1, 2018


Awards & Honors
 Bass Connections: Education and Human Development. Duke University. 2013
 Universitywide Excellence in Undergraduate Teaching. University of Illinois at UrbanaChampaign. 2002
 Universitywide Excellence in Undergraduate Teaching. University of Illinois at UrbanaChampaign. 2001
 Universitywide Excellence in Undergraduate Teaching. University of Illinois at UrbanaChampaign. 2000
 Universitywide Excellence in Undergraduate Teaching. University of Illinois at UrbanaChampaign. 1999
 Expertise

Subject Headings

Global Scholarship

Research

 Research

Selected Grants
 Re:boot Number Theory awarded by National Security Agency 2016  2018

Fellowships, Supported Research, & Other Grants
 Visiting Professor awarded by POSTECH and NRF grant by YoungJu Choie 2020  2021
 Faculty Travel Support awarded by College of Art & Science, Duke University 2018
 Member of the IAS awarded by Institute for Advanced Study 2018
 Faculty Travel Support awarded by College of Art & Science, Duke University 2017
 Visiting Scholar awarded by Korea Institute for Advanced Study (KIAS) 2016
 Discovery Grant awarded by NSERC (3865512010RGPIN) 2010  2012
 Postdoctoral Support awarded by NSF FRG (DMS 0244660), University of Rochester 2005  2007
 University Fellowship awarded by University of Illinois at UrbanaChampaign 2004
 Predoctoral Fellowship awarded by University of Illinois at UrbanaChampaign 2003
 Publications & Artistic Works

Selected Publications

Books

Berndt, Bruce C. Ramanujan's Forty Identities for the RogersRamanujan Functions. American Mathematical Soc., 2007.

Getz, J. R., and H. Hahn. An introduction to automorphic representations with a view towards trace formulae, n.d.Link to Item


Academic Articles

Hahn, H. “Poles of triple product Lfunctions involving monomial representations.” International Journal of Number Theory, January 1, 2021, 1–8. https://doi.org/10.1142/S1793042120400291.Full Text Open Access Copy

Hahn, H. “On Classical groups detected by the triple tensor product and the Littlewood–Richardson semigroup.” Research in Number Theory 2, no. 1 (December 1, 2016). https://doi.org/10.1007/s4099301600493.Full Text

Hahn, H. “On tensor third Lfunctions of automorphic representations of GLn(AF).” Proceedings of the American Mathematical Society 144, no. 12 (January 1, 2016): 5061–69. https://doi.org/10.1090/proc/13134.Full Text

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

Hahn, H., S. Akhtari, C. David, and L. Thompson. “Distribution of squarefree values of sequences associated with elliptic curves.” Contemporary Mathematics 606 (October 16, 2013): 171–88.

Getz, J. R., and H. Hahn. “ALGEBRAIC CYCLES AND TATE CLASSES ON HILBERT MODULAR VARIETIES.” International Journal of Number Theory, no. 2 (2013): 1–16.

Hahn, H. “A simple twisted relative trace formula.” International Mathematics Research Notices 2009, no. 21 (December 1, 2009): 3957–78. https://doi.org/10.1093/imrn/rnp075.Full Text

Hahn, H. “Eisenstein series associated with Γ0(2).” Ramanujan Journal 15, no. 2 (February 1, 2008): 235–57. https://doi.org/10.1007/s111390079075z.Full Text

Hahn, H. “Convolution sums of some functions on divisors.” Rocky Mountain Journal of Mathematics 37, no. 5 (December 1, 2007): 1593–1622. https://doi.org/10.1216/rmjm/1194275937.Full Text

Hahn, H. “On zeros of Eisenstein series for genus zero Fuchsian groups.” Proceedings of the American Mathematical Society 135, no. 8 (August 1, 2007): 2391–2401. https://doi.org/10.1090/S0002993907087631.Full Text

Ablowitz, M. J., S. Chakravarty, and H. Hahn. “Integrable systems and modular forms of level 2.” Journal of Physics A: Mathematical and General 39, no. 50 (December 15, 2006): 15341–53. https://doi.org/10.1088/03054470/39/50/003.Full Text

Hahn, H. “Septic analogues of the RogersRamanujan functions.” Acta Arithmetica 110, no. 4 (January 1, 2003): 381–99. https://doi.org/10.4064/aa11045.Full Text

Chan, H. H., H. Hahn, R. P. Lewis, and S. L. Tan. “New RamanujanKolberg type partition identities.” Mathematical Research Letters 9, no. 5–6 (January 1, 2002): 801–11. https://doi.org/10.4310/mrl.2002.v9.n6.a8.Full Text


 Teaching & Mentoring

Advising & Mentoring
 In terms of undergraduate research mentoring, I have a proven track record of mentoring undergraduate students, especially women, who later go on to study mathematics or other STEM disciplines in graduates school. I have already supervised 7 female undergraduate students: Brigid Larkin (Duke, Summer 2014), Mathilde GerbelliGauthier (McGill, Summer 2012), Catherine Hilgers (McGill, Summer 2011), Crystel Bujold (McGill, Spring 2011, cosupervised with A. Granville), Kelly C. Stange (SUNY at Albany, Spring 2010), N. Miya Sylvester (University of Rochester, Spring 2006) and Fabiana Ferrancina (University of Rochester, Spring 2006).
 Scholarly, Clinical, & Service Activities

Presentations & Appearances
 Applications of Langlands' beyond endoscopy. Math Colloquium. POSTECH Mathematics. December 4, 2020 2020
 Poles of triple product Lfunctions involving monomial representations. Heilbronn Number Theory Seminar. University of Bristol. November 18, 2020 2020
 Poles of triple product Lfunctions involving monomial representations. Trends in Number Theory. KMS Special Session. October 24, 2020 2020
 Poles of triple product Lfunctions involving monomial representations. Partition Theory and Related Topics. AMS Session. November 2019 2019
 Poles of triple product Lfunctions involving monomial representations. Analytic and Combinatorial Number Theory: The Legacy of Ramanujan. University of Illinois at UrbanaChampaign. June 2019 2019
 Poles of triple product Lfunctions of monomial representations. AMS Session on Recent Developments in Automorphic Forms. AMS. March 2019 2019
 The Ramanujan congruences for partitions. Society for Undergraduate Mathematics (SUM series). NCSU. March 2019 2019
 Langlands' beyond endoscopy proposal and related questions on algebriac groups and combinatroics. University of Rochester. October 2018 2018
 Langlands' beyond endoscopy proposal and related questions on algebriac groups and combinatroics. Bryn Mawr College. April 2018 2018
 Langlands' beyond endoscopy proposal and related questions on algebriac groups and combinatroics. Algebraic and Combinatorics Seminar. NCSU. September 2017 2017
 Langlands' beyond endoscopy proposal and detection of classical groups. Automorphic Forms and Related Topics. Vietnam Institute Advanced Study in Math (VIASM). August 2017 2017
 Langlands' beyond endoscopy proposal and the LittlewoodRichardson semigroup. AMS Special Session on Automorphic Forms and Related Topics. AMS. October 2016 2016
 Langlands' beyond endoscopy proposal and the LittlewoodRichardson semigroup. Colloquium. Sookmyung Women's University. August 2016 2016
 Langlands' beyond endoscopy proposal and the LittlewoodRichardson semigroup. Number Theory Seminar. Korea Institute for Advanced Study (KIAS). August 2016 2016
 Langlands' beyond endoscopy proposal and the LittlewoodRichardson semigroup. Number Theory Seminar. Yonsei University. August 2016 2016
 Langlands' beyond endoscopy proposal and the LittlewoodRichardson semigroup. Langlands Program Seminar. CUNY. April 2016 2016
 Langlands' beyond endoscopy proposal and the LittlewoodRichardson semigroup. Automorphic Forms Workshop. Wake Forest University. March 2016 2016
 On tensor third Lfunctions of automorphic representations of GL_n(A). Grad/Fac seminar. Duke University. November 2015 2015
 On Symmetric third Lfunctions of automorphic representations of GL_9(A_F). Illinois Number Theory Conference. August 2015 2015
 A general simple relative trace fromula. Number Theory Seminar. University of Illinois at UrbanaChampaign. April 2015 2015
 Relative trace formulae and their applications. Colloquium. Emory University. January 2015 2015
 A general simple relative trace fromula. AMS Special Session. University of North Carolina at Greensboro. November 2014 2014
 Relative Weyl laws. Emerging Leaders and Evolving Frontiers in Anayltic Number Theory. Hausdorff Cenetr for Mathematics. July 2014 2014
 Algebraic cycles and Tate classes on Hilbert modular varieties. South Eastern Regional Meetings on Numbers. High Point University. April 13, 2013 2013
 Distribution of squarefree values of sequences associated with elliptic curves. Grad/Fac seminar. Duke University. February 2013 2013
 Algebraic cycles and Tate classes on Hilbert modular varieties. Algebra and Combinatorics Seminar. North Carolina State University. November 2012 2012
 Algebraic cycles and Tate classes on Hilbert modular varieties. Number Theory Seminar. University of North Carolina at Chapel Hill. November 2012 2012
 Algebraic cycles and Tate classes on Hilbert modular varieties. QuebecVermont Number Theory Seminar. Concordia University, Canada. March 2012 2012
 Algebraic cycles and Tate classes on Hilbert modular varieties. Number Theory and Representation Theory Seminar. University of Maryland at College Park. January 2012 2012
 A simple twisted relative trace formula. Canada Number Theory Association Meeting XI. Acadia University, Canada. July 2010 2010
 A simple relative trace fomulae. Graduate Student seminar. University at Albany. April 2008 2008
 On zeros of Eisenstein series for genus zero Fuchsian groups. Partitiions, qseries and Modula forms. University of Florida at Gainesville. March 2008 2008
 The Selberg trace formula. Center for Women in Mathematics. Smith College. March 2008 2008
 On zeros of Eisenstein series for genus zero Fuchsian groups. Algebra and Number Theory Seminar. University at Albany. October 2007 2007
 On zeros of Eisenstein series for genus zero Fuchsian groups. Colloquium. University at Albany. February 2007 2007
 On zeros of Eisenstein series for genus zero Fuchsian groups. Number Theory Seminar. Johns Hopkins University. November 2006 2006
 On zeros of Eisenstein series for genus zero Fuchsian groups. Number Theory and Random Matrix Theory. University of Rochester. June 2006 2006
 On zeros of Eisenstein series for genus zero Fuchsian groups. AMS special session on Arithmetic Geometry and Modular Forms. AMS. April 2006 2006
 On zeros of Eisenstein series for genus zero Fuchsian groups. Algebra and Number Theory Seminar. University of Rochester. April 2006 2006
 On zeros of Eisenstein series for genus zero Fuchsian groups. Five College Number Theory Seminar. Amherst College. April 2006 2006
 Integrable systems and modular forms of level 2. Algebra and Number Theory Seminar. University of Rochester. December 2005 2005
 Convlotion sums for certain dividor functions. Additive Number Theory Conference. University of Florida. November 2004 2004
 Convlotion sums for certain dividor functions. AMS Session on Special Functions and Orthogonal Polynomials. AMS. October 2004 2004
 Eisenstein series associated with Gamma_0(2). Algebra and Number Theory Seminar. University of Rochester. September 2004 2004
 Eisenstein series associated with Gamma_0(2). Number theory seminar. UIUC. April 2004 2004
 Eisenstein series associated with Gamma_0(2). Graduate Student seminar. UIUC. February 2004 2004
 Eisenstein series associated with Gamma_0(2). AMS Joint Math Meeting. AMS. January 2004 2004
 Eisenstein series associated with Gamma_0(2). Midwest Number Theory Conference. University of Wisconsin. October 2003 2003
 Septic analogues of the RogersRamanujan functions. Number theory seminar. UIUC. March 2003 2003
 New RamanujanKolberg type partition identities. AMS Special Session on Combinatorics and Special Functions. AMS. October 2002 2002
 New RamanujanKolberg type partition identities. Illinois Number Theory Conference. UIUC. May 2002 2002
 New RamanujanKolberg type partition identities. Number theory seminar. UIUC. April 2002 2002

Outreach & Engaged Scholarship
 CoDirector. Summer Workshop in Math (SWiM2020). Duke University. June 29, 2020  July 8, 2020 2020
 CoDirector. Duke Opportunities in Math (DOmath2020). Duke University. May 2020  July 2020 2020
 CoDirector. Summer Workshop in Math (SWiM2019). Duke University. June 18, 2019  June 28, 2019 2019
 Invited Speaker. Girls Exploring Math (GEM). Duke University. June 2019 2019
 CoDirector. Duke Opportunitites in Math (DOmath2019). Duke University. May 20, 2019  July 12, 2019 2019
 CoOrganizer. Renaissance Math Event. Duke Math and Medieval/Renaissance Studies. January 2019 2019
 Organizer. Public Lectures Unveling Math (PLUM). Duke University. 2019 2019
 CoDirector. Summer Workshop in Math (SWiM2018). Duke University. June 19, 2018  June 29, 2018 2018
 CoDirector. Duke Opportunities in Math (DOmath2018). Duke University. May 2018  July 2018 2018
 Organizer. Public Lectures Unveling Math (PLUM). Duke University. 2018 2018
 CoDirector. Summer Workshop in Math (SWiM2017). Duke University. June 20, 2017  June 30, 2017 2017
 CoDirector. Duke Opportunities in Math (DOmath2017). Duke University. May 2017  July 2017 2017
 Organizer. Public Lectures Unveling Math (PLUM). Duke University. 2017 2017
 CoDirector. Summer Workshop in Math (SWiM2016). Duke University. June 13, 2016  June 23, 2016 2016
 Organizer. Public Lectures Unveiling Math (PLUM). Duke University. 2016 2016
 Founder and Organizer. Public Lectures Unveiling Math (PLUM). Duke University. 2015 2015
 No Apologies Campaign. Alice M. Baldwin Scholars. Duke University. September 2014 2014
 Speaker. Math Slam. Duke University. September 2013 2013
 Bass Connections Faculty Team Leader. Math Before Symbols. Duke University. August 2013  May 2014 2013  2014
 Mentor. The Noetherian ring. Duke University. September 2012 2012
 Judge. Greater Matropolitan NY Math Fair. March 2009 2009
 Speaker. Societies of Undergrdaute Math Students (SUMS). McGill University. 2009 2009
 Faculty Advisor. Graduate Students Seminar. University at Albany (SUNY). September 2007 2007
 Faculty CoAdvisor. Metting for Workshop Leaders. University of Rochester. January 2005 2005

Service to the Profession
 Participant. Conference on Representation Theory and Algebraic Analysis. Weizmann Institute of Science. May 2020 2020
 Participant. Geometric realizations of JacquetLanglands correspondences. AIM Workshop. November 2019 2019
 Participant. Hawaii Number Theory Conference (HINT 2019). March 2019 2019
 Participant. Porquerolles Conference. CIRM. September 2018 2018
 Participant. Representation theory and analysis on locally symmetric spcases. Institute for Advanced Study. April 2018 2018
 Algebra and Number Theory Seclection Committee Memeber. International Conference. Korean Women in Mathematical Sciences (KWMS). June 2017 2017
 Participant. Workshop on Mod p/padic Langlands programs. Korean Institute for Advanced Study (KIAS). August 2016 2016
 CoOrganizer. Reboot Workshop in Analytic Number Theory. Duke University. March 2016 2016
 Participant. Workshop on Automorphic Kernel Functions. AIM. December 2015 2015
 Participant. Analysis, Spectra, and Number Theory. Princeton University and IAS. December 2014 2014
 Workshop Team Leader. Women In Numbers. Banff International Research Station. November 2011 2011
 Participant. The Bellairs Workshop in Number Theory. McGill University. May 2011 2011
 Participant. Joint MontrealToronto Meeting II. Fields Institute. April 2011 2011
 Member. Committee of Undergraduate Affairs. McGill University. September 2010 2010
 Grant referee. 2010 2010
 Participant. Illinois Number Theory Conference. UIUC. March 2009 2009
 Member. College Faculty Council. University at Albany. September 2008 2008
 Member. Mathematics Undergraduate Committee. University at Albany. September 2007 2007
 Journal referee. 2007 2007
 Participant. Number Theory and Random Matrix Theory. University of Rochester. June 2006 2006
 CoOrganizer. Algebra and Number Theory Seminar. University of Rochester. September 2005 2005
 Student Representative. Graduate Affairs Committee. UIUC. September 2003 2003
 Participant. CBMSThe web of modularity. UIUC. June 2003 2003
 CoOrganizer. Numner Theory Seminar. UIUC. 2002 2002

Service to Duke
 CoDirector. Summer Workshop in Math (SWiM2020). Duke University. June 29, 2020  July 8, 2020 2020
 CoDirector. Duke Opportunities in Math (DOmath2020). Duke University. May 2020  July 2020 2020
 Mathematics at Duke University. Undergraduate Prizes. February 2020 2020
 Department of Mathematics at Duke University. ARP search committee. January 2020 2020
 Associate Director of Undergraduate Research and Prizes. Duke Mathematics Department. August 2019 2019
 Director of Outreach and Public Lectures. Duke University. August 2019 2019
 CoDirector. Summer Workshop in Math (SWiM2019). Duke University. June 18, 2019  June 28, 2019 2019
 CoDirector. Duke Opportunities in Math (DOmath2019). Duke University. May 20, 2019  July 12, 2019 2019
 CoOrganizer. Renaissance Math Event. Duke Math and Medieval/Renaissance Studies. January 2019 2019
 Organizer. Public Lectures Unveling Math (PLUM). Duke University. 2019 2019
 Faculty Participant. Major Fair. Duke University. October 2018 2018
 CoDirector. Summer Workshop in Math (SWiM2018). Duke University. June 19, 2018  June 29, 2018 2018
 CoDirector. Duke Opportunities in Math (DOmath2018). Duke University. May 2018  July 2018 2018
 Organizer. Public Lectures Unveling Math (PLUM). Duke University. 2018 2018
 Faculty participant. Major Fair. Mathematics, Duke University. October 2017 2017
 CoDirector. Summer Workshop in Math (SWiM2017). Duke University. June 20, 2017  June 30, 2017 2017
 CoDirector. Duke Opportunities in Math (DOmath2017). Duke University. May 2017 2017
 Organizer. Public Lectures Unveling Math (PLUM). Duke University. 2017 2017
 Faculty participant. Major Fair. Mathematics, Duke University. October 2016 2016
 CoDirector. Summer Workshop in Math (SWiM2016). Duke University. June 13, 2016  June 23, 2016 2016
 Course Coordinator. Math202. Duke University. 2016 2016
 Organizer. Public Lectures Unveling Math (PLUM). Duke University. 2016 2016
 CoOrganizer. 100 Years of General Relativity. Duke University. October 2015 2015
 Founder and Organizer. Public Lectures Unveiling Math (PLUM). Duke University. August 2015 2015
 Faculty Advisor. KenanBiddle Partnership. January 2015 2015
 A&S Academic Advisor. September 2014 2014
 Faculty CoAdvisor. Duke University Math Union (DUMU). September 2014 2014
 Course Coordinator. Math202. 2014 2014
 CoFounder and CoOrganizer. Number Theory Seminar. Duke University. 2012 2012
 Course Coordinator. Math202. 2012 2012
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