Hae-Sang 's Homepage

I am a research fellow of KIAS in Seoul, Korea.  

Mathematics

My advisor Prof. Haruzo Hida's webpage
Number Theory Seminar at KIAS
Number Theory Group at UCLA
 

Research Interests

I am studying special values of various $L$-functions, in particular, non-vanishing mod $p$ of special $L$-values. It includes $L$-functions with cyclotomic and anti-cyclotomic twists. I developed certain homological methods to consider Dirchlet and elliptic modular $L$-values with cyclotomic twists. Anti-cyclotomic twists is related to Shimura curves associated with indefinite quaternion algebra over rational numbers. It is studied using a geometric methods such as Zariski-density of CM points on Hilbert modular Shimura variety. I am also interested in $\mu$-invariant of $p$-adic $L$-functions, modular symbol, equi-distribution, and algebraic geometry.

Here is my research statement.

Publications

• Homological Interpretation of a Theorem of L. Washington, J. Number Theory 127 (2007), no. 1, 47-63.
• Cuspidal class number of a Tower of Modular Curves $X_1(Np^n)$, Accepted for publication in Math. Ann.
• Derivative of power series attached to $\Gamma$-transform of $p$-adic measures, J. Number Theory 130 (2010), 10-26
• Borel's conjecture and the transcendence of the Iwasawa power series, Proc. AMS 138(2010) no.6 1955-1963
• Non-vanishing mod $p$ of special $L$-values, Ph.D. Thesis