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Hyun Kyu Kim last updated: Nov. 20, 2012

Personal Information citizenship: Republic of Korea date of birth: January 15, 1987 address: Department of Mathematics, Yale University, 10 Hillhouse ave., New Haven, CT 06511 email: [email protected] homepage: http://www.math.yale.edu/∼hk47

Education

• Ph.D. in Mathematics Yale University, New Haven, CT, USA, 2013 (expected) Advisor : Professor Igor B. Frenkel

• M. Phil, M. S. in Mathematics Yale University, New Haven, CT, USA, 2011 • B.A. in Mathematics (summa cum laude) Cornell University, Ithaca, NY, USA, 2008

Research Interests

• Representation theory of quantum groups, infinite dimensional Lie algebras, and the (braided) Ptolemy-Thompson groups • The universal Teichm¨ullerspace and its quantization

• Uniform construction of finite simple groups

Publications (in chronological )

1. (with G. O. Michler) “Simultaneous constructions of the sporadic groups Co2 and Fi22”, in Computational and the theory of groups, 141–234, Contemp. Math. 470, Amer. Math. Soc., Providence, RI, 2008. (in arXiv:0906.0623) MR2478419

2. Representation Theoretic Existence Proof for Fi23, undergraduate senior thesis in Cornell Univ., 2008. (in arXiv:0904.0639)

0 3. (with G. O. Michler) Construction of Fischer’s Fi24 inside GL8671(13), arXiv:0904.1064

4. (with G. O. Michler) Construction of Co1 from an irreducible M24 of GL11(2), arXiv:0908.1393 5. (with I. B. Frenkel) Quantum Teichm¨uller space from the quantum plane, Duke Math. J. 161 no.2 (2012) 305–366. (also in arXiv:1006.3895) MR2876932 6. The dilogarithmic central extension of the Ptolemy-Thompson group via the Kashaev quanti- zation, submitted to a journal. arXiv:1211.4300

Books contributed to G. Michler. Theory of Finite Simple Groups II, Cambridge Univ. Press, NY, 2010. page 2/3

Teaching

• Calculus Tutor for MATH 112,115,118,120, Yale Univ., Fall 2008

• Residential College Math & Science Tutor, Yale Univ., Fall 2009, Spring 2011, Spring 2012, Fall 2012 • Teaching Assistant for MATH 225 (Linear algebra), Yale Univ., Spring 2010 • Instructor for MATH 115 (Calculus II), Yale Univ., Fall 2010

• Instructor for MATH 112 (Calculus I), Yale Univ., Fall 2011

Invited Talks

• 1024th AMS meeting, Special session on Computational Group Theory, Davidson College, Davidson, NC, USA (March 2007) • Seminar talk, Binghamton Univ., Binghamton, NY, USA (October 2007)

• Graduate Student Seminar, Yale Univ., New Haven, CT, USA (October 2008) • Graduate Student Seminar, Yale Univ., New Haven, CT, USA (October 2009) • Joint meeting of the KMS and the AMS, Special session on Representation Theory, Ewha Womans Univ., Seoul, Korea (December 2009)

• Graduate Student Seminar, Yale Univ., New Haven, CT, USA (September 2010) • Geometry, Symmetry, and Physics Seminar, Yale Univ., New Haven, CT, USA (October 2010) • Representation Theory Seminar, CUNY Graduate Center, New York, NY, USA (September 2012)

Conferences/Workshops Attended

• 1024th AMS meeting, Special session on Computational Group Theory, Davidson College, Davidson, NC, USA (March 2007) • Representation Theory and Mathematical Physics Conference (in honor of Gregg Zuckerman’s 60th birthday), Yale Univ., New Haven, CT, USA (October 2009) • Master Class on Drinfeld Associators and the Kashiwara-Vergne Problem, Aarhus Univ., Aarhus, Denmark (October 2011)

• Southeastern Lie Theory Workshop on Categorification of Quantum Groups and Representa- tion, NCSU, Raleigh, NC, USA (April 2012) • Perspectives in Representation Theory Conference (celebrating the 60th birthday of Igor Frenkel), Yale Univ., New Haven, CT, USA (May 2012)

• Teichm¨uller Theory: quantization and relations with physics, ESI, University of Vienna, Vi- enna, Austria (scheduled: Apr 2013) page 3/3

Awards and Honors

• Korean Presidential Science Scholarship for Undergraduates, 2004 – 2008.

• VIGRE 2005 Summer Stipend Honors Thesis, Cornell Univ., 2005. • Hunter R. Rawlings III Cornell Presidential Research Scholars, Cornell Univ., 2006-2008 • Harry S. Kieval Prize, Cornell Univ. May 2008.

• Some prizes in Math competitions • University Fellowship and Teaching Fellowship, Yale Univ. 2008-2010.

Language Proficiency

• English (fluent), Korean (native)

Activities

• Korean traditional percussion, leader and teacher, in Cornell Univ. and Yale Univ., 2004–2012 • Intramural Soccer, currently the captain, in Cornell Univ. and Yale Univ., 2006–present

• Organizer of the Mathematics Department Graduate Student Seminar, Yale Univ., 2009–2010