Algebraic
Number Theory, Dynamical system, Diophantine Geometry,
Quadratic Forms, Cryptography
“Height
bound and preperiodic points for jointly regular families of rational maps”,
Submitted to Proceedings of the AMS, ArXiv:1003.3241, 2010. 3
“Maximal ratio of coefficients of divisors
and an upper bound for height for rational maps”,
Submitted to Journal of Number Theory,
ArXiv:1002.3357, 2010. 2
“An upper bound for height for regular
affine automorphisms on An”,
Submitted to Mathematische Annalen, ArXiv:0909.3107, 2009. 9
“Universal
Quaternary Lattices over Fq[x]”,
Master's Thesis, Seoul National University, 2004. 5
“Kernel of Weil height machine and the
numerical equivalence of height functions”, preprint
“Height estimates for dominant
morphisms on projective varieties”,
preprint
“The canonical height for the
normal paor pf rational maps”,
preprint
“Height estimates for dominant morphisms on
projective varieties”
Bellairs
Workship in Number Theory, 2010, 5 (upcoming)
“Adelic equidistribution ”
Workshop in
Dynamics, University of Illinois at Chicago, 2010, 5, 18 (upcoming)
“D-ratio
of rational maps and its applications”
Algebra Seminar, Brown
University, 2010. 2. 1
Collaborative Number Theory
Seminar, City University of New York, 2009. 11. 13
Algebra Seminar,
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”
Number Theory Seminar,
Seoul National University, 2009. 5. 19
Number Theory Seminar,
Korea Institute for Advanced Science, 2009. 5. 22
“Introduction
to Height Functions”
Undergraduate Seminar
, 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