# People

## Sun, Hae-Sang

Associate Professor

Nat. Sci. Bldg(108) 301-13
Dept. of Math. Sciences, UNIST
UNIST-gil 50, Ulsan 44919

Contact Information
+82-52-217-3140 (office)
+82-52-217-2219 (fax)
haesang[.at.]unist.ac.kr
haesang.sun[.at.]gmail.com

## Education and Employment

• 2007 June, Ph. D. in Mathematics at University of California, Los Angeles
• 2007~2008, Postdoctoral Fellow, Max-Planck-Institut fuer Mathematik, Bonn
• 2008~2010, Research Fellow, Korea Institute for Advanced Study, Seoul
• 2010~2014, Associate Professor, Chungbuk National University, Cheongju

## Teaching

• Spring 2019 (Office Hour : Mon 14:00~16:00 or by appointment)
• Fall 2018
• Modern Algebra II
• Spring 2018
• Modern Algebra I
• Set Theory
• Fall 2017

## Publications

• Generation of cyclotomic Hecke fields by modular L-values with cyclotomic twists, Amer. J. Math. 141 (2019), no. 4, 907-940.
• Another note on "Euclidean algorithms are Gaussian" by V. Baladi and B. Vallée, Acta Arith. 188 (2019), 241-251, with Jungwon Lee
• Distance sets of two subsets of vector spaces over finite fields, Proc. Amer. Math. Soc. 143 (2015), no. 4, 1679-1692, with Koh, Doowon.
• The special values of Dirichlet L-functions as an analogue of the Iwasawa power series, J. Reine Angew. Math. 687 (2014), 207--223.
• A study on functional independence of the Iwasawa power series, Adv. Math. 238 (2013), 119--139.
• Cuspidal class number of the tower of modular curves $X_1(Np^n)$, Math. Ann. 348 (2010), no. 4, 909--927.
• Borel's conjecture and the transcendence of the Iwasawa power series, Proc. Amer. Math. Soc. 138 (2010), no. 6, 1955--1963.
• Derivative of power series attached to $\Gamma$-transform of $p$-adic measures, J. Number Theory 130 (2010), no. 1, 10--26.
• Homological interpretation of a theorem of L. Washington, J. Number Theory 127 (2007), no. 1, 47--63.

## Preprints and Works in progress

• Cyclotomic fields are generated by cyclotomic Hecke L-values of totally real fields, submitted, with Byungheup Jun and Jungyun Lee.
• Modular symbols and modular L-values with cyclotomic twists, submitted, with Myoungil Kim.
• A proof for conjecture of Mazur-Rubin-Stein, submitted.
• Quantitative non-vanishing mod p of Dirichlet L-values, submitted., with Ashay Burungale.
• On the indivisibility of derived Kato's Euler systems and the main conjecture for modular forms, submitted, with Chan-Ho Kim and Myoungil Kim.
• Dynamics of continued fractions and distribution of modular symbols, submitted, with Jungwon Lee.
• Non-vanishing of Special L-values of cusp forms on GL(2) with totally split prime power twists, submitted, with Jaesung Kwon.
• Algebraic independence of the Iwasawa functions, preprint, with Peter J. Cho.
• Algebraic-differential independence of the Kubota-Leopoldt p-adic L-functions, in progress.