Eon-Kyung Lee

Welcome! This is a simple homepage of Eon-Kyung Lee, a professor of mathematics at Sejong University. She is interested in braid groups and their related areas.

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Contact Information

• Address: Dept. Mathematics, Sejong University, 209, Neungdong-ro, Gwangjin-gu, Seoul, 05006, Korea

• Telephone: +82.2.3408.3979

• Fax: +82.2.3408.4315

• E-mail: eonkyung at sejong dot edu

• URL: http://dasan.sejong.ac.kr/~eonkyung

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Education

• 1988.03 ~ 1992.02: Korea Advanced Institute of Science and Technology (B.S.)

• 1992.03 ~ 1994.02: Korea Advanced Institute of Science and Technology (M.S.)

• 1997.09 ~ 2001.08: Korea Advanced Institute of Science and Technology (Ph.D.)

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Experience

• 1994.02 ~ 1997.08: Electronics and Telecommunications Research Institute

• 2001.10 ~ 2003.08: Korea Information Security Agency

• 2003.09 ~ present: Sejong University

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Research Papers

• Embeddability of right-angled Artin groups on complements of trees (joint with Sang-Jin Lee),
  arXiv:1706.10002.
  

• Noncrossing partitions for periodic braids (joint with Sang-Jin Lee),
  Journal of Combinatorial Theory, Series A 151C (2017) 36-50.
  arXiv:1608.05879.
  

• Path lifting properties and embedding between RAAGs (joint with Sang-Jin Lee),
  Journal of Algebra 448 (2016) 575-594.
  arXiv:1507.06859.
  

• Braid groups of imprimitive complex reflection groups (joint with Ruth Corran and Sang-Jin Lee),
  Journal of Algebra 427 (2015) 387-425.
  arXiv:1404.5430.
  

• Unknotting number and genus of 3-braid knots (joint with Sang-Jin Lee),
  Journal of Knot Theory and Its Ramifications 22 (2013) 1350047.1-1350047.18.
  arXiv:1305.3455.
  

• Periodic elements in Garside groups (joint with Sang-Jin Lee),
  Journal of Pure and Applied Algebra 215 (2011) 2295-2314.
  arXiv:1004.5308.
  

• Uniqueness of roots up to conjugacy for some affine and finite type Artin groups (joint with Sang-Jin Lee),
  Mathematische Zeitschrift 265 (2010) 571-587.
  arXiv:0711.0091.
  

• Dual presentation and linear basis of the Temperley-Lieb algebras (joint with Sang-Jin Lee),
  Journal of the Korean Mathematical Society 47 (2010) 445-454.
  arXiv:math/0403429.
  

• Injectivity on the set of conjugacy classes of some monomorphisms between Artin groups (joint with Sang-Jin Lee),
  Journal of Algebra 323 (2010) 1879-1907.
  arXiv:0802.2314.
  

• Some power of an element in a Garside group is conjugate to a periodically geodesic element (joint with Sang-Jin Lee),
  Bulletin of the London Mathematical Society 40 (2008) 593-603.
  arXiv:math/0604144.
  

• A Garside-theoretic approach to the reducibility problem in braid groups (joint with Sang-Jin Lee),
  Journal of Algebra 320 (2008) 783-820.
  arXiv:math/0506188.
  

• Abelian subgroups of Garside groups (joint with Sang Jin Lee),
  Communications in Algebra 36 (2008) 1121-1139.
  arXiv:math/0609683.
  

• Translation numbers in a Garside group are rational with uniformly bounded denominators (joint with Sang Jin Lee),
  Journal of Pure and Applied Algebra 211 (2007) 732-743.
  arXiv:math/0604061.
  

• Inverting the Burau and Lawrence-Krammer Representations,
  Contemporary Mathematics 418 (2006) 153-160.

• Right-Invariance: A Property for Probabilistic Analysis of Cryptography based on Infinite Groups,
  Advances in Cryptology - Asiacrypt 2004, Lecture Notes in Computer Science 3329 (2004) 103-118.

• Braid Groups in Cryptology,
  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E87-A (2004) 986-992.

• Cryptanalysis of the Public-key Encryption based on Braid Groups (joint with Je Hong Park),
  Advances in Cryptology - Eurocrypt 2003, Lecture Notes in Computer Science 2656 (2003) 477-490.

• Complexity of the generalized conjugacy problem (joint with Sang Geun Hahn and Je Hong Park),
  Discrete Applied Mathematics 130 (2003) 33-36.

• Potential Weaknesses of the Commutator Key Agreement Protocol based on Braid Groups (joint with Sang Jin Lee),
  Advances in Cryptology - Eurocrypt 2002, Lecture Notes in Computer Science 2332 (2002) 14-28.

• Pseudorandomness from braid groups (joint with Sang Jin Lee and Sang Geun Hahn),
  Advances in Cryptology - Crypto 2001, Lecture Notes in Computer Science 2139 (2001) 486-502.

• A Construction of the Simplest Super Pseudorandom Permutation Generator (joint with Kwang Jo Kim and U Jin Choi),
  Computers & Mathematics with Applications 29 (1995) 19-25.