Publications

1.    On Values of a Modular Form on $\Gamma_0(N)$, Acta Arith. 121 (2006), 299-311.

2.    A Simple Proof of Zagier Duality for Hilbert Modular Forms, Proc. Amer. Math. Soc. 134 (2006), 3445-3447.

3.    (With Y. Choie) Weight Dependent Congruence Properties of Modular Form, J. Number Theory, Volume 122, Issue 2, February (2007), 301-313.

4.    (With Y. Choie) On the Congruences of Jacobi Forms, Math. Z. 256 (2007), no. 2, 287294.

5.    (With Y. Choie) Linear Relations among the Fourier Coefficients of Modular Forms on the Genus Zero Group $\Gamma_0(N)$ and Their Applications, J. Math. Anal. Appl., Volume 326, Issue 1, 1 February (2007).

6.    Spaces of Modular Forms Generated by Eta-quotients, The Ramanujan Journal, Volume 14, Number 1, August, (2007), 69-77..

7.    (With T. Kilbourn) Improved bounds for the weight of a half integral weight modular forms modular primes, Acta Arith. 127 (2007), 193-197. 

8.    (With D. Jeon, S. Kang, C. Kim) Modularity of traces of singular moduli of arbitrary level modular functions and their arithmetic properties, Int Math Res Not, Vol. 2007, Article ID rnm110.

9.    (With D. Jeon, S. Kang, C. Kim) Exact Formulas for Traces of Singular Moduli of Higher Level Modular Functions, J. Number Theory 128 (2008), no. 3, 700707.

10. Modular forms of half-integral weight with few non-vanishing coefficients modulo l. Proc. Amer. Math. Soc. 136 (2008), no. 8, 26832688.

11. Weakly holomorphic modular forms of half-integral weight with nonvanishing constant terms modulo l. Trans. Amer. Math. Soc. 361 (2009), no. 7, 38173828.

12. (With S. Kang, J. Lovejoy) Partitions weighted by the parity of the crank. J. Combin. Theory Ser. A 116 (2009), no. 5, 10341046.

13. (With S. Ahlgren, J. Rouse) Congruences for level four cusp forms. Math. Res. Lett. 16 (2009), no. 4, 683701.

14. (With Y. Choie) p-adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight. Israel J. Math. 175 (2010), 6183,

15. Poincare series and the divisors of modular forms. Proc. Amer. Math. Soc. 138 (2010), no. 10, 33933403.

16. (with Y. Choie) Non vanishing of Central values of modular L-functions for Hecke eigenforms of level one, submitted for publication. (arXiv:1001.5181)

17. Twisted traces of singular moduli of weakly holomorphic modular functions submitted for publication.  (arXiv:1103.0821).

18. (Y. Choie, T. Kikuta) Bounds for Siegel Modular Forms of genus 2 modulo p, submitted for publication.  (arXiv:1103.0821).

19. (With L. Han) Non-vanishing for values of modular L-functions modulo l and extension group schemes, submitted for publication.