# Nanyang Technology University

 Academic Profile Asst Prof Chan Song Heng Assistant Professor Division of Mathematical Sciences School of Physical & Mathematical Sciences College of Science Email: CHANSH@ntu.edu.sgPhone: (+65)65137453 Office: SPMS-MAS-04-13 Education PhD (Mathematics) University of Illinois 2005BSc (Hons) National University of Singapore 2001BSc National University of Singapore 2001 Biography Dr Chan is currently in the School of Physical and Mathematical Sciences since 2007. He received his Bachelor degree in Science from National University of Singapore, and Ph.D. degree from the University of Illinois at Urbana-Champaign respectively. He has published over 12 journal papers. Research Interests Dr Chan's areas of expertise are Number Theory, Combinatorics, and Special functions. His current research works focus on sums of squares formula, the partition function and various related functions, and q-series which includes modular forms, theta functions, and basic hypergeometric series. Research Grant Academic Research Fund Tier 1 (2008-)Academic Research Fund Tier 1 (2011-) Current Projects Eulerian Series Satisfying Congruences for Small Primes, and Their Modularity Properties.The search for new mock theta functions, new proofs, and their connections with the ranks and cranks of partitions Selected Publications Andrews, George E.; Chan, Song Heng; Kim, Byungchan. (2013). The odd moments of Ranks and Cranks. Journal of Combinatorial Theory Series A, 120(1), 77--91.Berndt, Bruce C.; Chan, Song Heng. (2007). Sixth order mock theta functions. Advances in Mathematics, 216(2), 770-786.Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liaw, Wen-Chin. (2005). Cranks and dissections in Ramanujan's lost notebook. Journal of Combinatorial Theory Series A, 109(1), 91-120.Chan, Song Heng. (2005). Generalized Lambert series identities. Proceedings of the London Mathematical Society, 91(3), 598-622.Chan, Heng Huat; Chan, Song Heng; Liu, Zhiguo. (2004). Domb's numbers and Ramanujan-Sato type series for $1/\pi$. Advances in Mathematics, 186(2), 396-410.