Heekyoung Hahn
Assistant Research Professor of Mathematics
Number Theory in the large: Automorphic represenations, Trace formula, Laplacian eigenfunctions and Littlewood-Richardson coefficients
Current Research Interests
My primary interests are Automorphic L-functions, Relative Trace formula, Algebraic cycles on Shimura varieties and Representations of the classical groups, but I am also quite fond of q-series, theta functions and partitions
Current Appointments & Affiliations
- Assistant Research Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2014
Contact Information
- 220 Physics, Durham, NC 27708
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hahn@math.duke.edu
(919) 660-2850
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DOmath
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PLUM
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SWiM
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Webpage
- Background
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Education, Training, & Certifications
- Ph.D., University of Illinois -- Urbana-Champaign 2004
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Duke Appointment History
- Visiting Assistant Professor in the Department of Mathematics, Mathematics, Trinity College of Arts & Sciences 2012 - 2014
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Academic Positions Outside Duke
- 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
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Awards & Honors
- University-wide Excellence in Undergraduate Teaching. University of Illinois at Urbana--Champaign. 2002
- University-wide Excellence in Undergraduate Teaching. University of Illinois at Urbana-Champaign. 2001
- University-wide Excellence in Undergraduate Teaching. University of Illinois at Urbana-Champaign. 2000
- University-wide Excellence in Undergraduate Teaching. University of Illinois at Urbana-Champaign. 1999
- 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
- Re:boot Number Theory awarded by National Security Agency 2016 - 2018
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Fellowships, Supported Research, & Other Grants
- Member of the IAS awarded by Institute for Advanced Study 2018
- Visiting Scholar awarded by Korea Institute for Advanced Study (KIAS) 2016
- Math Before Symbols awarded by Bass Connection (EHD grant), Duke University 2013 - 2014
- Discovery Grant awarded by NSERC (386551-2010-RGPIN) 2010 - 2012
- Postdoctoral support awarded by NSF FRG (DMS 0244660), University of Rochester 2005 - 2007
- University Fellowship awarded by University of Illinois at Urbana-Champaign 2004
- Predoctoral Fellowship awarded by University of Illinois at Urbana-Champaign 2003
- Publications & Artistic Works
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Selected Publications
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Books
- Berndt, BC. Ramanujan's Forty Identities for the Rogers-Ramanujan Functions. American Mathematical Soc., 2007.
- Getz, JR, and Hahn, H. An introduction to automorphic representations with a view towards trace formulae. . (Textbook) Link to Item
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Journal Articles
- Hahn, H. "On Classical groups detected by the triple tensor product and the Littlewood–Richardson semigroup." Research in Number Theory 2, no. 1 (December 2016). Full Text
- Hahn, H. "On tensor third $L$-functions of automorphic representations of $GL_n(\mathbb {A}_F)$." Proceedings of the American Mathematical Society 144, no. 12 (May 4, 2016): 5061-5069. Full Text
- Getz, JR, and Hahn, H. "A general simple relative trace formula." Pacific Journal of Mathematics 277, no. 1 (2015): 99-118. Full Text
- Hahn, H, Akhtari, S, David, C, and Thompson, L. "Distribution of square-free values of sequences associated with elliptic curves." Contemporary Mathematics 606 (October 16, 2013): 171-188.
- Getz, JR, and Hahn, H. "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." Int. Math. Res. Not. 2009 (2009): 3957-3978. (Academic Article)
- Hahn, H. "Eisenstein series associated with Γ0(2)." The Ramanujan Journal 15, no. 2 (February 2008): 235-257. Full Text
- Hahn, H. "Convolution Sums of Some Functions on Divisors." Rocky Mountain Journal of Mathematics 37, no. 5 (October 2007): 1593-1622. Full Text
- Hahn, H. "On zeros of Eisenstein series for genus zero Fuchsian groups." Proceedings of the American Mathematical Society 135, no. 08 (March 29, 2007): 2391-2402. Full Text
- Ablowitz, MJ, Chakravarty, S, and Hahn, H. "Integrable systems and modular forms of level 2." Journal of Physics A: Mathematical and General 39, no. 50 (December 15, 2006): 15341-15353. Full Text
- Hahn, H. "Septic analogues of the Rogers–Ramanujan functions." Acta Arithmetica 110, no. 4 (2003): 381-399. Full Text
- Chan, HH, Hahn, H, Lewis, RP, and Tan, SL. "New Ramanujan-Kolberg type partition identities." Mathematical Research Letters 9, no. 6 (2002): 801-811. Full Text
- Hahn, H, Huh, J, Lim, E, and Sohn, J. "From partition identities to a combinatorial approach to explicit Satake inversions." Annals of Combinatorics .
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- Teaching & Mentoring
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Recent Courses
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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 Gerbelli-Gauthier (McGill, Summer 2012), Catherine Hilgers (McGill, Summer 2011), Crystel Bujold (McGill, Spring 2011, co-supervised 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
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Presentations & Appearances
- 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 Littlewood-Richardson semigroup. AMS Special Session on Automorphic Forms and Related Topics. AMS. October 2016 2016
- Langlands' beyond endoscopy proposal and the Littlewood-Richardson semigroup. Colloquium. Sookmyung Women's University. August 2016 2016
- Langlands' beyond endoscopy proposal and the Littlewood-Richardson semigroup. Number Theory Seminar. Korea Institute for Advanced Study (KIAS). August 2016 2016
- Langlands' beyond endoscopy proposal and the Littlewood-Richardson semigroup. Number Theory Seminar. Yonsei University. August 2016 2016
- Langlands' beyond endoscopy proposal and the Littlewood-Richardson semigroup. Langlands Program Seminar. CUNY. April 2016 2016
- Langlands' beyond endoscopy proposal and the Littlewood-Richardson semigroup. Automorphic Forms Workshop. Wake Forest University. March 2016 2016
- On tensor third L-functions of automorphic representations of GL_n(A). Grad/Fac seminar. Duke University. November 2015 2015
- On Symmetric third L-functions 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 Urbana-Champaign. 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 square-free 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. Quebec-Vermont 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, q-series 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 Rogers--Ramanujan functions. Number theory seminar. UIUC. March 2003 2003
- New Ramanujan-Kolberg type partition identities. AMS Special Session on Combinatorics and Special Functions. AMS. October 2002 2002
- New Ramanujan--Kolberg type partition identities. Illinois Number Theory Conference. UIUC. May 2002 2002
- New Ramanujan--Kolberg type partition identities. Number theory seminar. UIUC. April 2002 2002
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Outreach & Engaged Scholarship
- Co-Director. Duke Opportunities in Math (DOmath). Duke University. May 2017 2017
- Co-Director. Summer Workshop in Mathematics (SWiM). Duke University. June 2016 2016
- 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 Co-Advisor. Metting for Workshop Leaders. University of Rochester. January 2005 2005
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Service to the Profession
- Algebra and Number Theory Seclection Committee Memebr. International Conference. Korean Women in Mathematical Sciences (KWMS). June 2017 2017
- Participant. Workshop on Mod p/p-adic Langlands programs. Korean Institute for Advanced Study (KIAS). August 2016 2016
- Co-Director. Summer Workshop in Math (SWiM). Duke University. June 2016 2016
- Co-Director. Duke Opportunities in Math (DOmath). Duke University. May 2016 2016
- Co-Organizer. Reboot Workshop in Analytic Number Theory. Duke University. March 2016 2016
- Participant. Workshop on Automorphic Kernel Functions. AIM. December 2015 2015
- Founder and Organizer. Public Lectures Unveiling Math (PLUM). Duke University. August 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 Montreal-Toronto 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
- Co-Organizer. Algebra and Number Theory Seminar. University of Rochester. September 2005 2005
- Student Representative. Graduate Affairs Committee. UIUC. September 2003 2003
- Participant. CBMS--The web of modularity. UIUC. June 2003 2003
- Co-Organizer. Numner Theory Seminar. UIUC. 2002 2002
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Service to Duke
- Faculty participant. Major Fair. Mathematics, Duke University. October 2017 2017
- Co-Director. Summer Workshop in Math (SWiM2017). Duke University. June 2017 2017
- Co-Director. Duke Opportunities in Math (DOmath2017). Duke University. May 2017 2017
- Faculty participant. Major Fair. Mathematics, Duke University. October 2016 2016
- Co-Director. Summer Workshop in Math (SWiM2016). Duke University. June 2016 2016
- Course Coordinator. Math202. Duke University. 2016 2016
- Co-Organizer. 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. Kenan-Biddle Partnership. January 2015 2015
- A&S Academic Advisor. September 2014 2014
- Faculty Co-Advisor. Duke University Math Union (DUMU). September 2014 2014
- Course Coordinator. Math202. 2014 2014
- Co-Founder and Co-Organizer. Number Theory Seminar. Duke University. 2012 2012
- Course Coordinator. Math202. 2012 2012
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