Chong Gyu (Joey)  Lee  

Research Assistant Professor

Department of Mathematics, Statistics & Computer Science, Uinv of Illinois at Chicago


Main, Research,  Teaching,  CV


                   Field of Interest

                                Algebraic Number Theory, Algebraic & Complex Dynamics, Algebraic & Arithmetc Geometry,

                                Quadratic Forms, Cryptography


                   Paper and Preprints

Accepted

The numerical equivalence for height functions and ampleness and nefness criteria for divisors,

                 Bulletin of the London Mathematical Society, to appear, ArXiv:1010.3954, 2012

An upper bound for height for regular affine automorphisms on An,

               Mathematische Annalen, to appear, ArXiv:0909.3107, 2012

The equidistribution of periodic points of some automorphisms on K3 surface,

                  Bulletin of the KMS, 49 (2012), No. 2, 307 - 317.

Height bound and preperiodic points for jointly regular families of rational maps,

                 Journal of the KMS, 48 (2011) no 6, 1171-1187

Universal Quaternary Lattices over Fq[x],

                 Master's Thesis, Seoul National University, 2004. 5

                   Submitted to Journal of Kyoungbook Mathematical Society

Submitted

The equidistribution for strongly regular pairs of polynomial maps,

Submitted, ArXiv:1203.1224

Dynamics of commuting maps, with Hexi Ye,

Submitted, ArXiv:1203:1222

Height estimates for dominant morphisms on projective varieties, 

Submitted, ArXiv:1008.2394

Maximal ratio of coefficients of divisors and an upper bound for height for rational maps,   

                Submitted, ArXiv:1002.3357

In preparation

The canonical height and the equidistribution for strongly regular pairs of polynomial maps over C,

with Xinyi Yuan, in preparation

The dymanical Manin-Mumford conjecture for automorphisms on K3 surfaces, in preparation

The invariant subvarieties of regular poylnoamial automorpihms and the dynamical Manin-Mumford conjecture,

with Thomas Scanlon, in preparation


                   Invited Talks

Polynomial automorphisms

      Algebraic Dynamics, University of California at Berkeley, 2012, 5, 11

Arithmetic dynamics in higher dimensions, over C

      ICERM, Brown University, 2012, 2, 6

Polynomial automorphisms in arithmetic dynamics

      Wayne State University, 2012, 1, 18  

The Moriwaki height machine

      University of Illinois at Chicago, 2011, 10, 10  

Introduction to arithmetic dynamics

      PNTAG Lecture Series, Pohang University of Science and Technology, 2011, 7, 11 - 14    

Equidistribution of small points on K3 surface,

      Korea Institute for Advanced Study, 2011, 6, 17    

      VIGRE Summer School, University of Georgia, 2011, 5, 23

Dynamics of Commuting maps,

       Seoul National University, 2011. 6. 22

       Korea Institute for Advanced Study, 2011. 6. 9

      VIGRE Summer School, University of Georgia, 2011, 5, 22

      University of Illinois at Urbana-Champaign, 2011. 4. 5

 

The equidistirbution of periodic points of regular polynomial automorphisms

      University of Illinois at Chicago, 2010, 11. 30 

The arithmetic dynamics of dominant morphisms

      Midwest Number theory Conference, University of Michigan, 2010, 11. 13 

The weak Northcott¡¯s property and D-ratio for rational maps

      University of Illinois at Chicago, 2010, 9, 8  

Adelic equidistribution

      Workshop in Dynamics, University of Illinois at Chicago, 2010, 5, 18

Height estimates for dominant morphisms on projective varieties

      Bellairs Workshop in Number Theory, 2010, 5, 6

 D-ratio of rational maps and its applications

     Korea Institute of Science and Technology, 2011. 8. 4

     Brown University, 2010. 2. 1

     City University of New York, 2009. 11. 13

     University of Connecticut, 2009. 10. 6

Introduction to Diophantine Geometry

     Korea Institute for Advanced Science, 2009. 5. 26-27

Maximal Ratio of Coefficients of Divisors and Upper Bound of Height

     Seoul National University, 2009. 5. 19

     Korea Institute for Advanced Science, 2009. 5. 22

Introduction to Height Functions

     Seoul National University, 2009. 5. 14

 Height on Projective Varieties

     Graduate Student Seminar, Brown University, 2009. 3. 31

 Elementary View of the Resolution of Indeterminacy

     Graduate Student Seminar, Brown University, 2008. 11. 4