page 1/6 Hyun Kyu Kim last updated: Jan. 07, 2019 Personal Information citizenship: Republic of Korea date of birth: January 15, 1987 address: Department of Mathematics, Ewha Womans University, 52 Ewhayeodae-gil, Seodaemun-gu, Seoul 03760, Republic of Korea email: hyunkyukim@ewha.ac.kr, hyunkyu87@gmail.com homepage: https://sites.google.com/site/hyunkyukimmath/ orcid: 0000-0002-8593-4392 Scopus id: 57020218000 Education Ph.D. in Mathematics Yale University, New Haven, CT, USA, 2013 Advisor : Professor Igor B. Frenkel Thesis title : Quantum Teichmüller space and universal modular groupoid 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 Work Experience Research Fellow, KIAS (School of Mathematics), Seoul, Korea, June 2013 June 2016 Assistant Professor, KIAS (School of Mathematics), Seoul, Korea, June 2016 February 2017 current: Assistant Professor, Ewha Womans University (Department of Mathematics), Seoul, Korea, March 2017 present Research Interests Representation theory of quantum groups, infinite dimensional Lie algebras, mapping class groups, and the (braided) Ptolemy-Thompson groups The universal Teichmüller space, higher Teichmüller spaces, and their quantization Mathematical physics, related to (2 + 1)-gravity and Chern-Simons theory Relationship between 2d (complex and hyperbolic) geometry and 3d (AdS) geometry Diffeomorphism groups of spheres and balls Cluster varieties and their quantization Uniform construction of finite simple groups Publications and preprints (in chronological order) 1. (with G. O. Michler) Simultaneous constructions of the sporadic groups Co 2 and Fi 22, in Computational group theory and the theory of groups, 141 234, Contemp. Math. 470, Amer. Math. Soc., Providence, RI, 2008. (in arxiv:0906.0623) MR2478419
page 2/6 2. Representation Theoretic Existence Proof for Fischer Group Fi 23, undergraduate senior thesis in Cornell Univ., 2008. (in arxiv:0904.0639) 3. (with G. O. Michler) Construction of Fischer s sporadic group Fi 24 inside GL 8671 (13), arxiv:0906.1064 4. (with G. O. Michler) Construction of Co 1 from an irreducible subgroup M 24 of GL 11 (2), arxiv:0908.1393 5. (with I. B. Frenkel) Quantum Teichmüller space from the quantum plane, Duke Math. J. 161 no.2 (2012) 305 366. arxiv:1006.3895 MR2876932 6. The dilogarithmic central extension of the Ptolemy-Thompson group via the Kashaev quantization, Adv. Math. 293 (2016) 529 588. arxiv:1211.4300 7. Ratio coordinates for higher Teichmüller spaces, Math. Z. 283 (2016) 469 513. arxiv:1407.3074 8. (with Dylan Allegretti) A duality map for quantum cluster varieties from surfaces, Adv. Math. 306 (2017) 1164 1208, arxiv:1509.01567 9. (with Yun-Hwan Kim and Kyoung-Seog Lee) Quasiphantom categories on a family of surfaces isogenous to a higher product, J. Algebra 473 (2017), 591 606, arxiv:1511.02139 10. Phase constants in the Fock-Goncharov quantization of cluster varieties, arxiv:1602.00797 11. (with Masahito Yamazaki) Comments on exchange graphs in cluster algebras, to appear in Exp. Math., arxiv:1612.00145 12. Finite dimensional quantum Teichmller space from the quantum torus at root of unity, to appear in J. Pure. Appl. Algebra 223 (2019), 1337 1381, arxiv:1703.05513 13. (with So Young Cho, Hyuna Kim, and Doeun Oh) Laurent positivity of quantized canonical bases for quantum cluster varieties from surfaces, arxiv:1710.06217 14. (with Miri Son) SL 2 quantum trace in quantum Teichmller theory via writhe, arxiv:1812.11628 * Note: [5] and [6] constitute my Ph.D. thesis. Books contributed to G. Michler. Theory of Finite Simple Groups II, Cambridge Univ. Press, NY, 2010. 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 MATH 20449 (Topology I) and MATH G10631 (graduate: Differential Topology I), Ewha Womans Univ., Spring 2017 MATH 20408 (Calculus II) and MATH 20450 (Topology II), Ewha Womans Univ., Fall 2017 MATH 20449 (Topology I), MATH G10631 (graduate: Differential Topology I), and MATH G10637 (graduate: Global Analysis I), Ewha Womans Univ., Spring 2018
page 3/6 Invited Talks (see my homepage for titles of talks, as well as some videos and lecture notes) 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) Teichmüller Theory: quantization and relations with physics, ESI, Univ. of Vienna, Vienna, Austria (April 2013) Columbia Symplectic Geometry, Gauge Theory, and Categorification Seminar, Columbia Univ., New York, NY, USA (April 2013) Representation Theory seminar, KIAS, Seoul, Korea (September 2013) I-seminar, KIAS, Seoul, Korea (October 2013) Topology & Dynamics Seminar, Seoul National Univ., Seoul, Korea (March Basic Aspects of Representation Theory Seminar, Seoul National Univ., Seoul, Korea (April Algebraic Combinatorics and Representation Theory Seminar, KIAS, Seoul, Korea (September Mathematics - String Theory Seminar, Kavli IPMU, Tokyo, Japan (October Mathematics Colloquium, Ewha Womans University, Seoul, Korea (November Young Mathematicians Workshop on Cluster Algebras, KIAS, Seoul, Korea (December Hyperbolic Geometry Seminar, KIAS, Seoul, Korea (January 2015) Algebra Seminar, KIAS, Seoul, Korea (March 2015) Algebra Seminar, KIAS, Seoul, Korea (October 2015) Quantum Topology Seminar (informal), SNU, Seoul, Korea (December 2015) Geometry and Dynamics Seminar, SNU, Seoul, Korea (December 2015) Geometry and Topology Seminar (informal), SNU, Seoul, Korea (January 2016) lecture series at Quantum Topology Winter School, SNU, Seoul, Korea (February 15 19, 2016) Quantum Topology Seminar (informal), SNU, Seoul, Korea (June 2016)
page 4/6 lectures series at Summer school on Algebraic Geometry and Conformal Field Theory, Geoje Daemyung Resort, Gyeong-Nam, Korea (August 2016) lecture series, IBS Seoul (String Theory group), SNU, Seoul, Korea (September 2016) Special session in Representation Theory, 2016 KMS Annual Meeting, SNU, Seoul, Korea (October 2016) seminar talk, KAIST, Daejeon, Korea (December 2016) Mathematics Colloquium, Ewha Womans University, Seoul, Korea (March 2017) Invited Lecture in Topology, 2017 KMS Spring Meeting, Chosun Univ., Gwangju, Korea (April 2017) Mathematics Colloquium, SNU, Seoul, Korea (June 2017) Communications in Analysis and Geometry, Ewha Womans Univ., Seoul, Korea (June 2017) KIAS Alumni Workshop in Mathematics, KIAS, Seoul, Korea (September 2017) SWAG3 (Shinchon Workshop on Algebraic Geometry3), Yonsei Univ., Seoul, Korea (November 2017) KIAS Geometry Winter School, High One Resort, Gangwon-Do, Korea (February 2017) Geometry Now, Ewha Womans Univ., Seoul, Korea (February 2018) SWAG4 (Shinchon Workshop on Algebraic Geometry4), Ewha Womans Univ., Seoul, Korea (April 2018) seminar talk, KIAS, Seoul, Korea (August 2018) Mathematics Colloquium, Soongsil Univ., Seoul, Korea (October 2018) 2018 Symposium in Algebraic Geometry (hosted by KIAS), Hae-un-dae, Busan, Korea (December 2018) Conferences and Workshops Attended or To Attend 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) Lie Theory and Its Applications (conference in honor of Nolan Wallach s 70th birthday), UCSD, San Diego, CA (March 2011) 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 Representation, 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) Teichmüller Theory: quantization and relations with physics, ESI, Univ. of Vienna, Vienna, Austria (Apr 2013)
page 5/6 Gelfand Centennial Conference: A View of 21st Century Mathematics, MIT, Boston, MA, USA (August 2013 September 2013) Mini-workshop on the volume conjecture, KIAS, Seoul, Korea (June ICM 2014 satellite conference on Representation Theory and Related Topics, Daegu, Korea (August ICM 2014, Seoul, Korea (August Third Erlangen Fall School on Quantum Geometry, Friedrich-Alenxander Univ., Erlangen, Germany (September Conference on Cluster Algebras and Representation Theory, CMC (KIAS), Seoul, Korea (November Young Mathematicians Workshop on Cluster Algebras, KIAS, Seoul, Korea (December Conference on Cluster Algebras in Combinatorics and Topology, KIAS, Seoul, Korea (December Conference on Strings, Quivers and Cluster Algebras in Mathematical Physics, KIAS, Seoul, Korea (December Winter School on Algebraic Surfaces 2015, KIAS, Seoul, Korea (January 2015) First Encounter to Quantum Topology: School and Workshop, KIAS, Seoul, Korea (July 2015) Eisenstein Series on Kac-Moody Groups and Applications to Physics, KIAS, Seoul, Korea (November 2015) Categorical Representation Theory and Combinatorics, KIAS, Seoul, Korea (December 2015) Winter School on Algebraic groups/finite groups, KIAS, Seoul, Korea (December 2015) Quantum Topology Winter School, Seoul National University, Seoul, Korea (February 2016) Summer school on Algebraic Geometry and Conformal Field Theory, Geoje Daemyung Resort, Gyeong-Nam, Korea (August 2016) Special session in Representation Theory, 2016 KMS Annual Meeting, SNU, Seoul, Korea (October 2016) 2017 KMS Spring Meeting, Chosun Univ., Gwangju, Korea (April 2016) Communications in Analysis and Geometry, Ewha Womans Univ., Seoul, Korea (June 2017) KIAS Alumni Workshop in Mathematics, KIAS, Seoul, Korea (September 2017) SWAG3 (Shinchon Workshop on Algebraic Geometry3), Yonsei Univ., Seoul, Korea (November 2017) KIAS Geometry Winter School, High One Resort, Gangwon-Do, Korea (February 2017) Geometry Now, Ewha Womans Univ., Seoul, Korea (February 2018) SWAG4 (Shinchon Workshop on Algebraic Geometry4), Ewha Womans Univ., Seoul, Korea (April 2018) (organized) SSAG VII(Seoul Seminar on Algebraic Geometry VII), Ewha Womans Univ., Seoul, Korea (September, 2018) (organized) 2018 Symposium in Algebraic Geometry, Hae-un-dae, Busan, Korea (December 2018)
page 6/6 Awards, Grants and Honors Korean Presidential Science Scholarship for Undergraduates, 2004 2008 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 Sangsan prize for Young Mathematicians, Korean Mathematical Society, 2016 Ewha Womans University Research Grant for new faculty, Mar.2017 Feb.2019 Basic Science Research Program, National Research Foundation of Korea (NRF), funded by the Ministry of Education (grant number 2017R1D1A1B03030230), Jun.2017 May.2020 KIAS Associate Member, Jan.2017 present Language Proficiency English (fluent), Korean (native) Other Mathematical Activities Organizer of the Mathematics Department Graduate Student Seminar, Yale Univ., 2009 2010 Co-organizer of the Representation Theory Seminar in 2013, the Algebraic Combinatorics and Representation Theory (ACRT) Seminar in 2014, the Algebra Seminar in 2015, and currently the Geometry and Physics Seminar in 2016, KIAS, Korea Faculty mentor for UREP program (undergraduate research experience program), Department of Mathematics, Ewha Womans Univ., 2017