College of Science - College of Science

  • Professor Emeritus Department of Mathematics
  • KIM, MEEKYOUNG

Research Interest

My main interests lie in commutative algebra. The basic object I study is a commutative Noetherian ring R. I have worked on concern the structure of various algebras associated with an ideal (especially the Rees algebra, R[It], and the associated graded ring), Cohen-Macaulay rings, Gorenstein rings, regular rings, and the integral closure of ideals.

Education

  • 1985.6 ~ 1992.8 (PhD) Purdue University
  • 1982.3 ~ 1984.2 (MSc) Sungkyunkwan University
  • 1978.3 ~ 1982.2 (BSc) Sungkyunkwan University

Experience

  • 2015.4 ~ 2018.3 Editor, Bulletin of the Korean Mathematical Society
  • 2009.1 ~ 2009.8 Visiting Assistant Professor, Purdue University
  • 2008.9 ~ 2008.12 Visiting Scholar, Purdue University
  • 2001.3 ~ 2002.2 Visiting Scholar, Purdue University

Journal Articles

  • (2019)  Numerical semigroup algebras.  COMMUNICATIONS IN ALGEBRA.  48,  3
  • (2017)  Directed unions of local quadratic transforms of a regular local ring.  JOURNAL OF ALGEBRA.  488, 
  • (2017)  Finitely supported *-simple complete ideals and multiplicities in a regular local ring.  JOURNAL OF ALGEBRA.  488, 
  • (2015)  THE REES VALUATIONS OF COMPLETE IDEALS IN A REGULAR LOCAL RING.  COMMUNICATIONS IN ALGEBRA.  43,  8
  • (2014)  Finitely supported *-simple complete ideals in a regular local ring.  JOURNAL OF ALGEBRA.  401,  3
  • (2013)  Complete ideals and multiplicities in two-dimensional regular local rings.  JOURNAL OF ALGEBRA.  377,  1
  • (2012)  INTEGRALLY CLOSED IDEALS AND REES VALUATION.  COMMUNICATIONS IN ALGEBRA.  40,  9
  • (2012)  THE LEADING IDEAL OF A COMPLETE INTERSECTION OF HEIGHT TWO, PART III.  COMMUNICATIONS IN ALGEBRA.  40,  7
  • (2012)  Integrally closed ideals in regular local rings of dimension two.  JOURNAL OF PURE AND APPLIED ALGEBRA.  216,  1
  • (2011)  The Cohen-Macaulay and Gorenstein properties of rings associated to filtrations.  COMMUNICATIONS IN ALGEBRA.  39,  10
  • (2008)  The leading ideal of a complete intersection of height two in a2-dimensional regular local ring.  COMMUNICATIONS IN ALGEBRA.  36, 
  • (2007)  The leading ideal of a complete intersection of height two, Part II.  JOURNAL OF ALGEBRA.  312,  2
  • (2006)  The leading ideal of a complete intersection of height two.  JOURNAL OF ALGEBRA.  298, 
  • (2005)  The Gorenstein and complete intersection properties of associated graded rings.  JOURNAL OF PURE AND APPLIED ALGEBRA.  201,  1
  • (2005)  Some connections between an operator and its Aluthge transform.  GLASGOW MATHEMATICAL JOURNAL.  47, 
  • (2003)  Properties of the Fiber Cone of Ideals in Local Rings.  COMMUNICATIONS IN ALGEBRA.  31,  7
  • (2002)  The dimension of the fiber cone..  대한수학회보.  39,  4
  • (2002)  Note on good ideals in Gorenstein local rings.  대한수학회보.  39,  3
  • (2002)  Equimultiple good ideals.  JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY.  41,  4
  • (2002)  Good ideals in Gorenstein local rings obtained by idealization.  PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY.  130,  2

Publications

  • (2005)  미분적분학.  경문사.  Co-author

Honors / Awards

  • Visiting Scholar, Purdue University
  • 2006.7 ~ 2008.6

Conference Paper

  • (2011)  Complete ideals in two-dimensional regular local rings.  Midwest Commutative Algebra and Geometry Conference.  UNITED STATES
  • (2006)  The leading ideal of a complete intersection of height two.  NIMS Workshop on Commutative Algebra and Related Topics.  KOREA, REPUBLIC OF
  • (2003)  The Gorenstein properties of associated graded rings.  Workshop on Commutative Algebra.  KOREA, REPUBLIC OF
  • (2000)  Equmultiple Good Ideals in Gorenstein Local Rings.  제3회 가환대수 학술대회.  KOREA, REPUBLIC OF
  • (1999)  Equimultiple good ideals.  21st Symposium on Commutative Algebra.  JAPAN