Eon-Kyung Lee's Homepage

In the Laurentian Mountains, Quebec, Canada, July 2006

Welcome! This is a simple homepage of Eon-Kyung Lee who is a professor in the Department of Mathematics at Sejong University. She is interested in braid groups and application to cryptography.

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Contact Information

Address	Eon-Kyung Lee Dept. Mathematics, Sejong University 98 Gunja-Dong, Gwangjin-Gu, Seoul, 143-747, KOREA
Telephone	+82 2 3408 3979
Fax	+82 2 3408 4315
E-mail	eonkyung at sejong dot ac dot kr
URL	http://dasan.sejong.ac.kr/~eonkyung

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Education & Experience

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.)
1994.02 - 1997.08	Electronics and Telecommunications Research Institute (Researcher)
1997.09 - 2001.08	Korea Advanced Institute of Science and Technology (Ph.D.)
2001.10 - 2003.08	Korea Information Security Agency (Senior Researcher)
2003.09 - 2008.02	Sejong University (Assistant Professor)
2008.03 - present	Sejong University (Associate Professor)

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Research Papers

• E.-K. Lee and S. J. Lee,
  Conjugacy classes of periodic braids,
  arXiv:math/0702349.
  This preprint is published in no journal, and divided into separate papers with more contents.

• E.-K. Lee and S.-J. Lee,
  Periodic elements in Garside groups,
  Journal of Pure and Applied Algebra, vol. 215, no. 10, pp. 2295-2314, 2011.
  journal version.

• E.-K. Lee,
  A positive presentation for the pure braid group,
  Journal of the Chungcheong Mathematical Society, vol. 23, no. 3, pp. 555-561, 2010.
  journal version.

• E.-K. Lee and S.-J. Lee,
  Uniqueness of roots up to conjugacy for some affine and finite type Artin groups,
  Mathematische Zeitschrift, vol. 265, no. 3, pp. 571-587, 2010.
  journal version.

• E.-K. Lee and S.-J. Lee,
  Dual presentation and linear basis of the Temperley-Lieb algebras,
  Journal of the Korean Mathematical Society, vol. 47, no. 3, pp. 445-454, 2010.
  journal version.

• E.-K. Lee and S.-J. Lee,
  Injectivity on the set of conjugacy classes of some monomorphisms between Artin groups,
  Journal of Algebra, vol. 323, no. 7, pp. 1879-1907, 2010.
  journal version.

• E.-K. Lee and S.-J. Lee,
  Some power of an element in a Garside group is conjugate to a periodically geodesic element,
  Bulletin of the London Mathematical Society, vol. 40, no. 4, pp. 593-603, 2008.
  journal version.

• E.-K. Lee and S.-J. Lee,
  A Garside-theoretic approach to the reducibility problem in braid groups,
  Journal of Algebra, vol. 320, no. 2, pp. 783-820, 2008.
  journal version.

• E.-K. Lee and S. J. Lee,
  Abelian subgroups of Garside groups,
  Communications in Algebra, vol. 36, no. 3, pp. 1121-1139, 2008.
  journal version, revised version.

• E.-K. Lee and S. J. Lee,
  Translation numbers in a Garside group are rational with uniformly bounded denominators,
  Journal of Pure and Applied Algebra, vol. 211, no. 3, pp. 732-743, 2007.
  journal version.

• E. Lee and S. J. Lee,
  A Counter-based MAC Revisited: Weakening the Underlying Assumption,
  Journal of Applied Mathematics & Computing, vol. 24, no. 1-2, pp. 461-470, 2007.

• E. Lee,
  Inverting the Burau and Lawrence-Krammer Representations,
  Contemporary Mathematics, vol. 418, pp. 153-160, 2006.

• E.-K. Lee,
  On the Trade-off between Composition and XOR of Random Permutations,
  The Journal of the Korean Institute of Communication Sciences, vol. 31, no. 3C, pp. 286-292, 2006.

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

• E. Lee,
  Braid Groups in Cryptology,
  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol. E87-A, no. 5, pp. 986-992, 2004.

• E. Lee and J. H. Park,
  Cryptanalysis of the Public-key Encryption based on Braid Groups,
  Advances in Cryptology - Eurocrypt 2003, Lecture Notes in Computer Science, vol. 2656, pp. 477-490, 2003.

• S. G. Hahn, E. Lee, and J. H. Park,
  Complexity of the generalized conjugacy problem,
  Discrete Applied Mathematics, vol. 130, pp. 33-36, 2003.

• S. J. Lee and E. Lee,
  Potential Weaknesses of the Commutator Key Agreement Protocol based on Braid Groups,
  Advances in Cryptology - Eurocrypt 2002, Lecture Notes in Computer Science, vol. 2332, pp. 14-28, 2002.

• E. Lee, S. J. Lee, and S. Hahn,
  Pseudorandomness from braid groups,
  Advances in Cryptology - Crypto 2001, Lecture Notes in Computer Science, vol. 2139, pp. 486-502, 2001.

• E. -Y. Lee, K. J. Kim and U. J. Choi,
  A Construction of the Simplest Super Pseudorandom Permutation Generator,
  Computers & Mathematics with Applications, vol. 29, no. 8, pp. 19-25, 1995.

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Conference/Invited Talks

• East Asian School of Knots and Related Topics, Hiroshima University and Saijo Hakuwa Hotel, Japan, January 2011.

• KMS Workshop, Chungnam National University, Daejon, Korea, April 2010.

• From Braid Groups to Teichmuller Spaces, CIRM, Luminy, France, June 2009.

• East Asian School of Knots and Related Topics, Gyeongju TEMF Hotel, Korea, January 2009.

• KMS Workshop, Keimyung University, Daegu, Korea, April 2008.

• Tokyo Institute of Technology, Japan, February 2008.

• KWMS Workshop, POSTECH, Pohang, Korea, July 2007.

• The Many Strands of the Braid Groups, Banff International Research Station, Canada, April 2007.

• East Asian School of Knots and Related Topics, Osaka City University, Japan, February 2007.

• Global KMS Day, Seoul National University, Korea, October 2006.

• KIAS, Seoul, Korea, June 2006.

• KMS Workshop, Dong-a University, Pusan, Korea, April 2006.

• KMS Workshop, Chung-Ang University, Seoul, Korea, October 2005.

• Joint Meeting of AMS, DMV and OMG, Johannes Gutenberg University, Mainz, Germany, June 2005.

• Osaka City University, Japan, February 2005.

• ASIACRYPT 2004, Jeju Island, Korea, December 2004.

• Daewoo Workshop, Seoul National University, Korea, July 2004.

• Ewha Womans University, Seoul, Korea, April 2004.

• KMS Workshop, Sungkyunkwan University, Suwon, Korea, May 2004.

• KISA, Seoul, Korea, December 2003.

• Konkuk University, Seoul, Korea, October 2003.

• EUROCRYPT 2003, Warsaw, Poland, May 2003.

• CRYPTO 2001, UCSB, Santa Barbara, USA, August 2001.

• KIAS, Seoul, Korea, June 2001.

• CMI, Marseille, France, May 2001.

• KIAS, Seoul, Korea, December 2000.

• com2mac, POSTECH, Pohang, Korea, June 2000.