研究领域：Number theory, modular forms, q-series. 

 电话：0531-88375588

  邮箱：chanhh6789@sdu.edu.cn

欢迎有志于攻读数论方向的直博生、硕博连读学生联系我，请您在邮件中说明您的各方面情况以及未来科研学习计划。

个人主页：https://mrc.sdu.edu.cn/zhf

 

National University of Singapore, B.Sc. (1991)

University of Illinois at Urbana-Champaign, M.Sc.(1993)

University of Illinois at Urbana-Champaign, PhD. (1995)

 

 

Institute for Advanced Study, Princeton (1995-1996), member.

National Chung Cheng University (1996-1997), Associate Professor

National University of Singapore (1997-2000), Assistant Professor

National University of Singapore (2000-2008), Associate Professor

National University of Singapore (2008-2024), Professor

 

 

National Science Foundation Research Grant, USA (1995). Used to support my stay at Institute for Advanced Study, Princeton.

National University of Singapore Teaching Excellence award (1998).

Singapore Young Scientist Award (1999).

Commonwealth Fellowship, UK (2001).

Singapore Youth Award (2003).

National University of Singapore Outstanding Young Reseacher award (2004).

National University of Singapore Faculty Teaching awards (2006, 2008, 2010, 2012, 2013).

Hitachi Research Fellowship (2008).

(Selected publications)

1. On Ramanujan's cubic continued fraction, Acta Arithmetica 73, no. 4 (1995), 343-355.

2. Ramanujan's class invariants and Watson's empirical process, J. Lond. Math. Soc. 57 (1998), 545-561.

3. Domb's numbers and Ramanujan-Sato type series for 1/pi, Adv. in Math. 186 (2004), 396-410. (Joint work with S.H. Chan and Z.G.Liu).

4. Ramanujan's Einsenstein series and powers of Dedekind's eta-function, J. Lond. Math. Soc. 75 (2007), 225-242. (Joint work with S. Cooper and P.C. Toh).

5. Triple product identity, quintuple product identity and Ramanujan's differential equations for the classical Eisenstein series, Proc.of the Amer. Math. Soc. 135 (2007), 1987-1992.

6. New Analogues of Clausen's identities arising from the theory of modular forms, Adv. in Math. 228 (2011), 1294-1314. (Joint work with Y. Tanigawa, Y.F. Yang, W. Zudilin).

7. Modular forms and k-colored generalized Frobenius partitions, Trans. Amer. Math. Soc.371 (2019), 2159-2205. (Joint work with L.Q. Wang and Y.F. Yang)

Books :

1. Analytic number theory for undergraduates, World Scientific Publishing Company, 2009.

2. Theta functions, elliptic functions and pi, De Gruyter, 2020.

Scientific research projects：

1. Hauptmoduls and constructions of Hilbert class fields.

2. Elliptic functions to alternative bases.

3. On Rogers-Ramanujan identities, Andrews-Gordon identities and Ramanujan-Gollnitz-Gordon identities.