Kyungyong Lee

Department of Mathematics

University of Michigan

Ann Arbor, MI 48109

e-mail : kyungl@umich.edu

About me

     I graduated from the University of Michigan. My advisor is Rob Lazarsfeld. 


Research Interests
     I am interested in Algebraic geometry, Commutative algebra, Interpolation, Algebraic Combinatorics and their interactions. 
In particular, I like to think about multiplier ideals, Hilbert schemes, syzygies, deformations, complete intersections, line 
arrangements, plane linear systems, interpolation matrices, Schur functors, cores, and computational aspects thereof.




Publication



 Robert Lazarsfeld, Kyungyong Lee, Local Syzygies of Multiplier ideals, Invent. Math. 167 (2007), no. 2, 409--418.



 Kyungyong Lee, A short note on containment of cores, to appear in Comm. Algebra.



 Kyungyong Lee, Characteristic 2 approach to bivariate interpolation problems, to appear in Ricerche di Matematica.



 Robert Lazarsfeld, Kyungyong Lee and Karen E. Smith, Syzygies of multiplier ideals on
singular varieties, accepted.


On the principal components of Hilbert schemes of points, in preparation. 
   When a Hilbert scheme of points is reducible, the principal (radical) component is particularly interesting. However the 
equations for the component have been mysterious. Recently I discovered previously unknown elements in the defining ideals of
interesting affine open subschemes of principal components. Surprisingly they are of very large degrees in the natural 
embeddings.   




Open Problems




Computer program



Littlewood-Richardson rule calculator for a three-dimensional vector space cpp (written in C++)




Teaching



Math 215 Fall 2007, Winter 2008



Math 105 Summer 2007



Math 115 Fall 2006



Math 105 Fall 2004, Winter 2005




Personal


Pictures of my wife and me





Last updated : 5/10/2008




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