Education

Indiana University, Bloomington, Ph.D., July 2004

Academic positions

2006. 9 - Present : 중앙대학교 조교수 (Assistant Professor, Chung-Ang University)

2004. 7 - 2006. 7 : 유타대학교, 와일리 조교수 (Wylie Assistant Professor, University of Utah )
(2005. 6 - 2005. 7 : 고등과학원 방문 연구원 (Visiting Scholar, KIAS))
(2005. 6 - 2005. 7 : 이화여자대학교 강사 (Instructor, Ewha Womans University))

Members/Activities

KIAS, Associate member since 2008,
KMS, KWMS member since 2005,
AMS, AWM member since 1997,
a reviewer of Mathematics Reviews of the AMS since 2006

Research Interests

Abelian Varieties (Especially, elliptic curves)

Galois Representation

Arithmetic Geometry

Publications­ 

• On products of quadratic twists and ranks of elliptic curves over large fields (with Lozano-Robledo, Alvaro), J. London Math. Soc. to appear, 2008.
• Generalizing a Theorem of Richard Brauer (with Michael Larsen),  J. Number Theory, Vol.128, Issue 12, 2008.
• Abelian varieties over cyclic fields (with Michael Larsen), Amer. J. Math. Vol. 130, no. 5, October 2008.
  
• Heegner points and the rank of elliptic curves over large extensions of global fields (with Florian Breuer), Canad. J. Math. Vol.60 (3) (2008), 481-490.
• Heegner points and Mordell-Weil groups of elliptic curves over large fields, Trans. Amer. Math. Soc..Vol.359, no.12 (2007), 6143-6154
• Mordell-Weil groups and the rank of elliptic curves over large fields, Canad. J. Math. Vol. 58 (4) (2006), 796-819.
• Weak approximation for linear systems of quadrics (with Michael Larsen), J. Number Theory, Vol. 119, no.1 (2006), 148-154.
• The Rank of elliptic curves with rational 2-torsion points over large fields, Proc. Amer. Math. Soc., Vol. 134, no.6 (2006), 1623-1630.
• Open conditions for infinite multiplicity eigenvalues on elliptic curves. (with Michael Larsen), J. Algebra, Vol. 299, no.2 (2006), 707-713.
• Infinite multiplicity of roots of unity of the Galois group in the representation on elliptic curves, J. Number Theory, Vol. 114, no.2 (2005), 312-323.

Recent Teaching

2009-1:  Abstract Algebra I,  Linear Algebra
2008-2:  Number Theory, Cryptography
2008-1:  Linear Algebra,  Lie Algebra (Graduate course)
2007-2: Abstract Algebra II, Cryptography
2007-1: Abstract Algebra I,  Linear Algebra,  Precalculus
2006-2: 일반대 학원 대수학(Algebra, Graduate), 교육대학원 대수학(Algebra, Graduate),  암호론 (Cryptography)