<html> <head> <meta http-equiv="Content-Type" content="text/html; charset=ISO-8859-1"> <title>Home of Sang Jin Lee</title> </head> <!-----------------------------><a name="top"></a></p> <center> <img align="TOP" height=300 src="./webfiles/figures/Sangjin.jpg"> <h1><strong> Sang-Jin Lee</strong></h1><p> Professor of <a href="http://math.konkuk.ac.kr/">Department of Mathematics</a> of <a href="http://www.konkuk.ac.kr/">Konkuk Univ.</a> </center> <hr> <h3> <ul> <li><a href="#Contact">Contact Information</a></li> <li><a href="#Teaching">Teaching</a></li> <li><a href="#Research">Research Interests</a></li> <li><a href="#Publications">Publications</a></li> <li><a href="#Education">Education and Work Experiences </a></li> <li><a href="#Talks">Talks </a></li> <li><a href="./webfiles/CV/CV-sangjin.pdf"> Curriculum Vitae (pdf) </a> </ul> </h3> <p> <!---------------------------------------------><a name="Contact"></a></p> <hr><font color=green size=+2><strong> Contact Information </strong></font><p> <blockquote> <table> <tr><td bgcolor="#E6F1E0" align=center> Address </td> <td>Sang-Jin Lee<br> Department of Mathematics, Konkuk Univ.<br> Gwangjin-gu, Seoul 143-701, Korea </td> </tr> <tr><td bgcolor="#E6F1E0" align=center> Telephone </td> <td> +82 (0)2 450-3407</td></tr> <tr><td bgcolor="#E6F1E0" align=center> Fax </td> <td> +82 (0)2 458-1952</td></tr> <tr><td bgcolor="#E6F1E0" align=center> E-mail </td> <td>sangjin (at) konkuk.ac.kr</td></tr> <tr><td bgcolor="#E6F1E0" align=center> URL </td> <td> http://konkuk.ac.kr/~sangjin</td></tr> </table> </blockquote> <p> <!-------------------------------------- <a name="Teaching"></a></p> <hr><font color=green size=+2><strong> Teaching </strong></font><p> <blockquote> <table> <tr><td bgcolor="#E6F1E0">2009 Fall &nbsp </td> <td> (0332) Calculus II </td></tr> <tr><td bgcolor="#E6F1E0">2009 Spring &nbsp </td> <td> (3753) Topics in Topology <br> (3757) Set Theory and Discrete Mathematics</td></tr> <tr><td bgcolor="#E6F1E0">2008 Fall &nbsp </td> <td> (3763) Topics in Modern Mathematics <br> (5351) Introduction to Knot Theory (graduate course)</td></tr> <tr><td bgcolor="#E6F1E0">2008 Spring &nbsp </td> <td> (3782) Topics in Topology </td></tr> <tr><td bgcolor="#E6F1E0">2007 Fall &nbsp </td> <td> (0206) Calculus II<br> (3111) Surface Topology </td></tr> <tr><td bgcolor="#E6F1E0">2007 Spring &nbsp </td> <td> (0320) Calculus I<br> (2380) Topology</td></tr> <tr><td bgcolor="#E6F1E0">2006 Fall &nbsp </td> <td> (0509) Calculus II<br> (5786) Algebraic Topology I (graduate course)</td></tr> <tr><td bgcolor="#E6F1E0">2006 Spring &nbsp </td> <td> (0565) Calculus I<br> (2685) Topology<br> (5592) Topology (graduate course) <br> (0886) Seminar course for freshmen </td></tr> <tr><td bgcolor="#E6F1E0">2005 Fall &nbsp </td> <td> (0461) Calculus II<br> (5892) 3-manifolds II (graduate course) </td></tr> <tr><td bgcolor="#E6F1E0">2005 Spring &nbsp </td> <td> (0427) Calculus I<br> (4371) Topics in Topology <br> (5981) 3-manifolds I (graduate course) </td></tr> <tr><td bgcolor="#E6F1E0">2004 Fall &nbsp </td> <td> (0397) Calculus II<br> (4281) Surface Topology <br> (4267) Euclid geometry and projective geometry</td></tr> <tr><td bgcolor="#E6F1E0">2004 Spring &nbsp </td> <td> (0425) Calculus I<br> (4357) Topology</td></tr> <tr><td bgcolor="#E6F1E0">2003 Fall &nbsp </td> <td> (0425) Calculus II<br> (4303) Analysis </td></tr> ----------------------------------------------> </table> </blockquote> <p> <!---------------------------------------------><a name="Research"></a></p> <hr><font color=green size=+2><strong> Research Interests </strong></font><p> <blockquote> - Braid Group<br> - Geometric group theory<br> - Low dimensional Topology<br> - Cryptography </blockquote> <p> <!---------------------------------------><a name="Publications"></a></p> <hr><font color=green size=+2><strong> Publications </strong></font><p> <!-------------------- MathSciNet <a href="http://www.ams.org/msnmain?fn=130&pg1=AUCN&s1=Lee%2C+Sang+Jin"> Author = Lee, Sang Jin</a><br> arXiv <a href="http://front.math.ucdavis.edu/author/S*-J*-Lee"> Author = Lee, Sang Jin</a><p> --------------> <ol> <li> Ruth Corran, E.-K. Lee and S.-J. Lee,<br> <em>Braid groups of imprimitive complex reflection groups,</em><br> Journal of Algebra 427 (2015) 387-425. <br> An earlier version is available from <a href="http://front.math.ucdavis.edu/1404.5430"> arXiv:1305.3455</a>. </p></li> <li> E.-K. Lee and S.-J. Lee,<br> <em>Unknotting number and genus of 3-braid knots,</em><br> Journal of Knot Theory and Its Ramifications, vol. 22, no. 9, pp. 1350047.1-1350047.18, 2013.<br> An earlier version is available from <a href="http://front.math.ucdavis.edu/1305.3455"> arXiv:1305.3455</a>. </p></li> <li> E.-K. Lee and S.-J. Lee,<br> <em>Periodic elements in Garside groups,</em><br> J. Pure Appl. Algebra 215 (2011), no. 10, 2295-2314.<br> An earlier version is available from <a href="http://front.math.ucdavis.edu/1004.5308"> arXiv:1004.5308</a>. </p></li> <li> E.-K. Lee and S.-J. Lee,<br> <em>Uniqueness of roots up to conjugacy for some affine and finite type Artin groups,</em><br> Math. Zeit. 256 (2010), no. 3, 571-587.<br> An earlier version is available from <a href="http://front.math.ucdavis.edu/0711.0091"> arXiv:0711.0091</a>. </p></li> <li> E.-K. Lee and S.-J. Lee,<br> <em>Dual presentation and linear basis of the Temperley-Lieb algebras,</em><br> Journal of KMS 47 (2010), no. 3, 445-454.<br> An earlier version is available from <a href="http://front.math.ucdavis.edu/math.GR/0403429"> arXiv:math.GR/0403429</a>. </p></li> <li> E.-K. Lee and S.-J. Lee,<br> <em>Injectivity on the set of conjugacy classes of some monomorphisms between Artin groups,</em><br> J. Algebra 323 (2010), no. 7, 1879-1907.<br> An earlier version is available from <a href="http://front.math.ucdavis.edu/0802.2314"> arXiv:0802.2314</a>. </p></li> <li> E.-K. Lee and S.-J. Lee,<br> <em>Some power of an element in a Garside group is conjugate to a periodically geodesic element,</em><br> Bull. Lond. Math. Soc. 40 (2008), no. 4, 593-603.<br> An earlier version is available from <a href="http://front.math.ucdavis.edu/math.GN/0604144"> arXiv:math.GN/0604144</a>. </p></li> <li> E.-K. Lee and S.-J. Lee,<br> <em>A Garside-theoretic approach to the reducibility problem in braid groups,</em><br> J. Algebra 320 (2008), no. 2, 783-820.<br> An earlier version is available from <a href="http://front.math.ucdavis.edu/math.GT/---"> arXiv:math.GT/0506188</a>. </p></li> <li> E.-K. Lee and S. J. Lee,<br> <em>Abelian subgroups of Garside groups,</em><br> Comm. Algebra 36 (2008), no. 3, 1121-1139.<br> An earlier version is available from <a href="http://front.math.ucdavis.edu/math.GT/0609683"> arXiv:math.GT/0609683</a>. </p></li> <li> E.-K. Lee and S. J. Lee,<br> <em>Translation numbers in a Garside group are rational with uniformly bounded denominators,</em><br> J. Pure Appl. Algebra 211 (2007), no. 3, 732-743.<br> An earlier version is available from <a href="http://front.math.ucdavis.edu/math.GT/0604061"> arXiv:math.GT/0604061</a>. </p></li> <li> E.-K. Lee and S. J. Lee,<br> <em> A Counter-based MAC Revisited: Weakening the Underlying Assumption</em>,<br> J. Appl. Math. & Computing 24 (2007), no. 1-2, 461-470. </p></li> <li> S. J. Lee,<br> <em>Garside groups are strongly translation discrete,</em><br> J. Algebra, 309 (2007), 594-609.<br> An earlier version is available from <a href="http://front.math.ucdavis.edu/math.GT/0411470"> arXiv:math.GT/0411470</a>. </p></li> <li> S. J. Lee and W. T. Song,<br> <em>The kernel of Burau(4) \otimes Z<sub>p</sub> is all pseudo-Anosov,</em><br> Pacific J. Math., 219 (2005), no. 2, 303-310. <br>An earlier version is available from <a href="http://front.math.ucdavis.edu/math.GT/0403347"> arXiv:math.GT/0403347</a>. </p></li> <li> S. J. Lee and E.-K. Lee,<br> <em> Potential Weaknesses of the Commutator Key Agreement Protocol based on Braid Groups</em>,<br> EUROCRYPT 2002, 14-28, LNCS 2332, Springer, Berlin, 2002. </p></li> <li> J. C. Cha, K. H. Ko, S. J. Lee, J. W. Han and J. H. Cheon,<br> <em>An efficient implementation of braid groups</em>,<br> ASIACRYPT 2001, 144-156, LNCS 2248, Springer, Berlin, 2001. </p></li> <li> J. S. Birman, K. H. Ko and S. J. Lee,<br> <em>The infimum, supremum and geodesic length of a braid conjugacy class</em>,<br> Adv. Math., 164 (2001), no. 1, 41-56. <br>An earlier version is available from <a href="http://front.math.ucdavis.edu/math.GT/0003125 "> arXiv:math.GT/0003125</a>. </p></li> <li><p> E.-K. Lee, S. J. Lee and S. Hahn,<br> <em>Pseudorandomness from braid groups</em>,<br> CRYPTO 2001, 486-502, LNCS 2139, Springer, Berlin, 2001. </p></li> <li> K. H. Ko, S. J. Lee, J. H. Cheon, J. W. Han, J. Kang and C. Park,<br> <em>New Public-key Cryptosystem using Braid Groups</em>,<br> CRYPTO 2000, 166-183, LNCS 1880, Springer, Berlin, 2000. </p></li> <li> K. H. Ko and S. J. Lee,<br> <em>Flypes of closed 3-braids in the standard contact space</em>,<br> Journal of KMS 36 (1999), 51-71. </p></li> <li> J. S. Birman, K. H. Ko and S. J. Lee,<br> <em>A New Approach to the Word and Conjugacy problems in the Braid Groups</em>,<br> Adv. Math., 139 (1998), 322-353. </p></li> <li> E. S. Kang, K. H. Ko and S. J. Lee,<br> <em>Band-generator presentation for the 4-braids,</em><br> Topology Appl. 78 (1997), 39-60. </p></li> <li> K. H. Ko and S. J. Lee,<br> <em>Genera of some closed 4-braids,</em><br> Topology Appl. 78 (1997), 61-77. </p></li> </ol> <!---------------------------------------------><a name="Conferences"></a></p> <hr><font color=green size=+2><strong> Conferences co-organized </strong></font> <p> <ul> <li><p><a href="http://math.postech.ac.kr/2009eas/"> The 5th East Asian School of Knots and Related Topics</a>, January 11-16, 2009, Gyeongju TEMF Hotel, Gyeongju, Korea. </p></li> <li><p><a href="./2007Topology/2007Topology.htm"> 2007 Topology Workshop at Konkuk University</a>, November 28 - 29, 2007, Konkuk University, Seoul, Korea. </p></li> <li><p><a href="./2006GTday/2006GTDay.htm"> 2006 Geometry & Topology Day at Konkuk University</a>, November 18, 2006, Konkuk University, Seoul, Korea. </p></li> <li><p><a href="http://knot.kaist.ac.kr/2004/"> The First East Asian School of Knots, Links and Related Topics</a>, February 16-20, 2004, Seoul, Korea. </p> </li> </ul> <!---------------------------------------------><a name="Education"></a></p> <hr><font color=green size=+2><strong> Education and Work Experiences </strong></font> <p> <blockquote> <table> <tr><td bgcolor="#E6F1E0" align=left> 1988.3 - 1992.2 </td> <td>B.S. at <a href="http://www.kaist.ac.kr/">KAIST</a> </td> </tr> <tr><td bgcolor="#E6F1E0" align=left> 1992.3 - 1994.2 </td> <td>M.S. at <a href="http://www.kaist.ac.kr/">KAIST</a> </td> </tr> <tr><td bgcolor="#E6F1E0" align=left> 1994.3 - 2000.2 </td> <td>Ph.D. at <a href="http://www.kaist.ac.kr/">KAIST</a> </td> </tr> <tr><td bgcolor="#E6F1E0" align=left> 2000.3 - 2001.3 </td> <td>Research Fellow at <a href="http://www.kaist.ac.kr/">KAIST</a>, Taejon, Korea </td> </tr> <tr><td bgcolor="#E6F1E0" align=left> 2001.4 - 2002.2 </td> <td>Research Fellow at <a href="http://www.cmi.univ-mrs.fr/">CMI</a>, Marseille, France </td> </tr> <tr><td bgcolor="#E6F1E0" align=left> 2002.3 - 2003.8 </td> <td>Research Fellow at <a href="http://www.kias.re.kr/">KIAS</a>, Seoul, Korea </td> </tr> <tr><td bgcolor="#E6F1E0" align=left> 2003.9 - 2007.8 </td> <td>Assistant professor at <a href="http://math.konkuk.ac.kr/">Dept. Mathematics</a>, <a href="http://www.konkuk.ac.kr/">Konkuk Univ.</a>, Seoul, Korea </td> </tr> <tr><td bgcolor="#E6F1E0" align=left> 2007.9 - 2012.08 </td> <td>Associate professor at <a href="http://math.konkuk.ac.kr/">Dept. Mathematics</a>, <a href="http://www.konkuk.ac.kr/">Konkuk Univ.</a>, Seoul, Korea </td> </tr> <tr><td bgcolor="#E6F1E0" align=left> 2012.9 - </td> <td>Professor at <a href="http://math.konkuk.ac.kr/">Dept. Mathematics</a>, <a href="http://www.konkuk.ac.kr/">Konkuk Univ.</a>, Seoul, Korea </td> </tr> </table> </blockquote> </p> <!---------------------------------------------><a name="Talks"></a></p> <hr><font color=green size=+2><strong> Recent Talks </strong></font> <p> <ul> <li><p> <em>Conjugacy of braids in the centralizer of a periodic braid,</em> <a href="http://math.postech.ac.kr/2009eas/"> The 5th East Asian School of Knots and Related Topics</a>, January 11-16, 2009, Gyeongju TEMF Hotel, Gyeongju, Korea. </p> </li> <li><p> <em>Conjugacy classes of symmetric braids,</em> <a href="http://tresses08.institut.math.jussieu.fr/index-en.html"> Braids in Paris</a>, September 17-20, 2008, Universite Paris Diderot (Paris 7), Paris, France. </p> </li> <li><p> <em>Braid groups and related groups,</em> <a href="http://asarc.kaist.ac.kr/conference/20080812.htm"> The First Topology Workshop</a>, August 12-14, 2008, KAIST, Daejon, Korea. </p> </li> <li><p> <em>Braids,</em> <a href="http://www.postech.ac.kr/~jccha/2008summerschool/"> 2008 POSTECH Summer School on Knots and Manifolds</a>, July 22-25, 2008, POSTECH, Pohang, Korea. </p> </li> <li><p> <em> Discreteness properties of translation numbers in Garside group,</em> The 2008 spring meeting of the Korean Mathematical Society, April 26, 2008, Keimyung University, Daegu, Korea. </p> </li> <li><p> Eon-Kyung Lee and I visited Tokyo Institute of Technology(Tokyo, Japan) during February 11--24 (2008), and gave five lectures on Garside groups and braid cryptography. </p> </li> <li><p> <em> Uniqueness of roots up to conjugacy of braids,</em> The 5th TAPU Workshop on Knots and Related Topics, January 17--19, 2008, Kyungpook National University, Daegu, Korea. </p> </li> <li><p> <em> Reduction systems and ultra summit sets of reducible braids,</em> <a href="http://www.ims.nus.edu.sg/Programs/braids/index.htm"> Braids</a>, June 25--29, 2007, Institute for Mathematical Sciences, National University of Singapore, Singapore. <a href="./webfiles/20070626-SangJin-Singapore.pdf"> Presentation File</a>. </p> </li> <li><p> <em> Garside groups and translation numbers,</em> <a href="http://www.birs.ca/birspages.php?task=displayevent&event_id=07w5104"> The Many Strands of the Braid Groups</a>, April 22-27, 2007, Banff International Research Station, Banff, Canada. <a href="./webfiles/20070423-SangJin-Banff.pdf"> Presentation File</a>. </p> </li> <li><p> <em>Properties of translation numbers in Garside groups,</em> <a href="http://math01.sci.osaka-cu.ac.jp/21COE/symposium/EastAsianSchool/EastAsianSchool.html"> The 3rd East Asian School of Knots and Related Topics</a>, February 5--8, 2007, Osaka City University, Osaka, Japan. </p> </li> <!------------------------------------------- ----------------- Old Talks ----------------- --------------------------------------------- <li><p> <em>Periodic and symmetric braids,</em> an invited talk at NIMS Workshop on Geometry and Topology, November 16--17, 2006, Daejeon, Korea. </p> </li> <li><p> <em>Discreteness properties of translation numbers,</em> 2005 fall meeting of the Korean Mathematical Society, October 21--22, 2005, Jungang University, Seoul, Korea. </p> </li> <li><p> <em>A new approach to the reducibility problem in braid groups,</em> The Second East Asian School of Knots and Related Topics in Geometric Topology, August 2 -- 5, 2005, Dalian, China. </p> </li> <li><p> <em>Growth of minimal word length in Garside groups,</em> The Second Joint Meeting of AMS, DMV, OMG at Mainz, June 16 -- 19 2005, Mainz, German. </p> </li> <li><p> <em>A new approach to the reducibility problem,</em> The Second KAIST Geometric Topology Fair, February 17-19, 2005, Hanhwa Resort Sorak, Sokcho, Korea. </p> </li> <li><p> <em>A new approach to find a reduction system of reducible braids,</em> Osaka City University, Osaka, Japan, February 4, 2005. </p> </li> <li><p> <em>Garside theory and dynamical types of braids,</em> Four Dimensional Topology Conference, January 25 -- 27, 2005, Hiroshima University, Hiroshima, Japan. </p> </li> <li><p> <em>Algorithms in geometric groups and their applications to cryptography,</em> Hanyang University, Seoul, Korea, October 14, 2004. </p> </li> <li><p> <em>Roots and translation numbers in Garside groups,</em> The First KAIST Geometric Topology Fair, August 24--26, 2004, Hanhwa Resort Suanbo, Chungju, Korea. </p> </li> <li><p> <em>Roots and translation numbers in Garside groups,</em> The First TAPU Workshop on Knots and Related Topics, August 11--13, 2004, Pusan National University, Busan, Korea. </p> </li> <li><p> <em>Semidirect products of Garside groups and translation numbers,</em> KIAS, Seoul, Korea, July 26, 2004. </p> </li> <li><p> <em>Dual presentation and linear basis of Temperley-Lieb algebra,</em> Annual Meeting of KMS, Sungkyunkwan University, Suwon, Korea, May 1, 2004. </p> </li> <li><p> <em>Conjugacy classes of reducible braids,</em> The First East Asian School of Knots, Links, and Related Topics, February 16 -- 20, 2004, Seoul, Korea. </p> </li> <li><p> <em>Standardizing curves in punctured disks,</em> Trends in Topology, Inha University, January 30 -- 31, 2004. </p> </li> <li><p> <em>On reducible braids,</em> KAIST, Daejon, Korea, August 20, 2003. </p> </li> <li><p> <em>Algorithms in geometric groups and their applications to cryptography,</em> Konkuk University, Seoul, Korea, June 30, 2003. </p> </li> <li><p> <em>Conjugacy problem in braid groups and its application to cryptography,</em> Ewha Womans University, Seoul, Korea, May 27, 2003. </p> </li> <li><p> <em>Centralzers in braid groups,</em> KIAS, Seoul, Korea, January 24, 2003. </p> </li> <li><p> <em>Recent Progresses in Braid Groups and Non-abelian Group based Cryptography,</em> Seoul National University, Seoul, Korea, October 21, 2002. </p> </li> <li><p> <em>Burau representation and dynamical types of 4-braids,</em> Annual Meeting of KMS, Cheonnam University, October 18 -- 19, 2002. </p> </li> <li><p> <em>Positive Braid Monoids and Related Problems,</em> Korea University, Seoul, Korea, October 4, 2002. </p> </li> <li><p> <em>Braid Groups with Applications to Knot Theory and Cryptography,</em> Inha University, Incheon, Korea, July 30, 2002. </p> </li> <li><p> <em>Potential Weaknesses of the Commutator Key Agreement Protocol based on Braid Groups,</em> EUROCRYPT 2002 (Amsterdam - The Netherlands), April 28 -- May 2, 2002. </p> </li> <li><p> <em>Algorithms for the conjugacy problem in the braid groups,</em> Chevaley Seminaire, Paris, France, April 25, 2002. </p> </li> <li><p> <em>Decision problem in the braid groups and its application to cryptography,</em> Seoul National University, April 11, 2002. </p> </li> <li><p> <em>Linearity of braid groups,</em> KIAS, Seoul, Korea, March 20, 2002. </p> </li> <li><p> <em>Braid groups and cyrptosystems using non-commutative groups,</em> KISA (Korea Information Security Agency), Seoul, Korea, December 29, 2001. </p> </li> <li><p> <em>On the Security of the Arithmetica Commutator Key Agreement Protocol,</em> National Security Research Institute, Daejeon, Korea, December 21, 2001. </p> </li> <li><p> <em>Some applications of braid groups into cryptography,</em> CMI, Universit\'e de Provence, Marseille, France, Nov. 13, 2001. </p> </li> <li><p> <em>The trapdoor oneway functions in braid groups,</em> Algebraic Methods in Cryptography, Ruhr-Universitat Bochum(Germany), November 8 -- 9, 2001. </p> </li> <li><p> <em>Overview of the cryptosystems using braid groups,</em> European Conference on Electrical Engineering and Computer Science for Young Researchers 2001, Paris, France, November 2 -- 5, 2001. </p> </li> <li><p> <em>On the cryptosystems using braid groups,</em> Universite de Caen(France), October 30, 2001. </p> </li> <li><p> <em>A state of the art in braid cryptography,</em> ENS(France), October 18, 2001. </p> </li> <li><p> <em>Braid groups and their applications to cryptography,</em> Postech(Pohang university of Science and Technology), Korea, March 12, 2001. </p> </li> <li><p> <em>Public-key cryptosystems using braid groups,</em> The first training seminar on mobile and wireless networks security Kyungpook National University, Tae-gu, Korea, February 22, 2001. </p> </li> <li><p> <em>Mathematical Background of braid groups to the public-key cryptosystem,</em> Special Tutorial in PKC 2001(International Workshop on Practice and Theory in Public Key Cryptography), Shilla Hotel, Cheju Island, Korea, February 13-15, 2001.</p> </li> <li><p> <em>Destabilization problem of 4-braids,</em> Knots, Links, and Manifolds 2001, 4-th International Siegen Topology Symposium, Universitaet Siegen, SIEGEN, Germany, January 4-8, 2001. </p> </li> <li><p> <em>The conjugacy problem of the 4-braid group,</em> Knots 2000 joint with the 8-th Korea-Japan School of Knots and Links, Youngpyong Resort, Korea, July 31 - August 5, 2000. </p> </li> <li><p> <em>Representation and conjugacy problem of braid groups,</em> ETRI(Electronics and Telecommunications Research Institute), Korea, July 24, 2000. </p> </li> <li><p> <em>The cycling conjecture in the conjugacy problem of braid groups,</em> Annual Meeting of KMS, Wonkwang University, October 21-22, 1999. </p> </li> <li><p> <em>The gifted education for the middle school students in Daejon-Chungnam area,</em> Annual Meeting of the Korean School Mathematical Society, Kongju National University, August 10, 1999. </p> </li> <li><p> <em>Word processing in braid groups,</em> Annual Meeting of the Chungcheong Mathematical Society, Tanguk University, Korea, May 29, 1999. </p> </li> <li><p> <em>Destabilization problem of the 4-braid group,</em> The 7-th Korea-Japan School of Knots and Links, St. Catherine's College, Kobe Institute, Japan, February 15-19, 1999. </p> </li> <li><p> <em>Unsolved problems in braid theory,</em> The first topology forum of Korea Mathematical Society, Seoul National University, Korea, November 21, 1998. </p> </li> <li><p> <em>The conjugacy problem of the 4 braid group,</em> Annual Meeting of the Korean Mathematical Society, Hannam University, Korea, April 25, 1998. </p> </li> <li><p> <em>The conjugacy problem of the 4 braid group,</em> The 6-th Korea-Japan School of Knots and Links, Tokyo University, Japan, February 16 - 18, 1998. </p> </li> <li><p> <em>Band generator presentations of braid groups,</em> The 5-th Korea-Japan School of Knots and Links, Korea Advanced Institute of Science and Technology, February 17 - 20, 1997. </p> </li> <li><p> <em>Presentations of braid groups,</em> GARC(Global Analysis Research Center) Seminar, Seoul National University, Korea, December 3, 1996. </p> </li> <li><p> <em>Genera of some closed 4-braids,</em> Annual Meeting of the Chungcheong Mathematical Society, Seonmun University, Korea, May 18, 1996.</p> </li> <li><p> <em>Band-generator presentation of 4-braids and genera of some closed 4-braids,</em> The 5-th Applied Mathematics Workshop, Korea Advanced Institute of Science and Technology, February 27 - 29, 1996. </p> </li> <li><p> <em>Minimal genus spanning surfaces bounded by closed 4-braids,</em> The 4-th Korea-Japan School of Knots and Links, Kyusu University, Japan, February 20 - 23, 1995. </p> </li> <li><p> <em>Algebraic classification of homology boundary links,</em> The 3-rd Korea-Japan School of Knots and Links, Korea Advanced Institute of Science and Technology, February 18 - 22, 1994. </p> </li> <li><p> <em>Universal abelian cover of fused boundary links,</em> The 2-nd Korea-Japan School of Knots and Links, Osaka City University, Japan, August 4 - 7, 1993. </p> </li> </ul> End of Old Talks -------------------------------------------------> </font> </body> </html>