FANG-TING TU

Assistant Professor
I received my PhD  from National Chiao Tung University, Taiwan in 2013, and joined LSU since August 2016. 
 CV    Publications and Preprints
​246 Lockett Hall
Department of Mathematics
Louisiana State University
Baton Rouge, LA 70803

Teaching:

2018 Spring: Math 4153, Finite Dimensional Vector Spaces 


2016 Fall:  Math 2085, Linear Algebra
2017 Spring: Math 1552 section 4, Calculus II
2017 Fall:  Math 7230, Modular Forms

Research:

Research Interests: Number Theory
Selected Publications:
  1. (with Yifan Yang) Defining equations of X_0(2^{2n}), Vol.46, No.1:105-113, 2009, Osaka J. Math. 
  2. On orders of M(2, K) over a non-archimedean local field. Int. J. Number Theory, 7(5):1137-1149, 2011. 
  3. (with Yifan Yang)  Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves.  Trans. Amer. Math. Soc. 365 (2013), 6697-6729  
  4. Schwarzian differential equations associated to Shimura curves of genus zero.  Pacific J. Math. 269 (2014), no. 2, 453–489.
  5. (with Yi-Shuan Lin). Twisted Kloosterman Sums. J. Number Theory 147 (2015), 666–690. 
  6. (with Alyson Deines, Jenny G. Fuselier, Ling Long,  and Holly Swisher) Generalized Legendre Curves and Quaternionic Multiplicati. J. Number Theory, 161 (2016), 175-203
  7. (with Alyson Deines, Jenny G. Fuselier, Ling Long,  and Holly Swisher) Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions. Directions in Number Theory, Proceedings for Women in Numbers 3, AWM series, 125-159. arXiv: 1501.0356
  8. (with Jenny G. Fuselier, Ling Long, Ravi Ramakrishna, Holly Swisher)  Hypergeometric Functions over Finite Fields.  arXive: 1510.02575
  9. (with Sharon Frechette and Holly Swisher) A Cubic Transformation Formula for Appell-Lauricella Hypergeometric Functions over Finite Fields. arXive: 1701.04526  Accepted by Research in Number Theory.
  10. (with Ling Long, Noriko Yui and Wadim Zudilin) Supercongruences for Rigid Hypergeometric Calab-Yau Threefolds. arXive: 1705.01663 
  11. (with Yifan Yang) Evaluation of Certain Hypergeometric Functions over Finite Fields. eprint arXive: 1711.05842 Accepted by SIGMA.
  12. (with Wen-Ching Winnie Li, and Ling Long) Computing Special L-values of Certain Modular Forms with Complex Multiplication. arXive: 1803.06072​