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Liangjie Ye

PORTRAIT

Liangjie Ye, Dr.

Contact


Office: RISC, Room -2.12-3

Phone: +43(0)732 2468 9937

EMail: liangjie.ye@dk-compmath.jku.at

Web: Homepage at RISC

Address:
Doctoral Program Computational Mathematics
Johannes Kepler University
Altenberger Straße 69
A-4040 Linz
Austria

Short Curriculum Vitae

  • 1987 born in Sichuan, China.
  • 07.2008 B.Sc. in Mathematics and Applied Mathematics, Sichuan Normal University, China. 
  • 07.2012 M.Sc. with distinction in Pure Mathematics, Sichuan Normal University, China. 
  • 01.2017 PhD with distinction ("mit Auszeichnung bestanden"), Doctoral Program "Computational Mathematics'', JKU, Linz, Austria.

Research interests

  • symbolic computation: connections between number theory and special functions;
  • algorithmically proving and producing relations among Jacobi theta functions;
  • q-series, modular forms, elliptic functions, Riemann surfaces.

Activities

Scientific Stays

Department of mathematics, University of Illinois at Urbana-Champaign, April 11 - April 24, 2015. Host: Prof. Bruce. C. Berndt.

Department of mathematics, University of Florida, Gainesville, April 4-10, 2015. Hosts: Prof. Krishnaswami Alladi and Prof. George E. Andrews. 

 

Participation at conferences and workshops

Workshop on Symbolic Combinatorics and Computational Differential Algebra, University of Toronto, Sep 14-20, 2015.

Workshop on Approximation Theory, CAGD, Numerical Analysis, and Symbolic Computation, Sozopol, Bulgaria, Aug 2014.

Computer Algebra and Polynomials, RICAM, Linz, Austria, Nov 25-29, 2013.

DK Statusseminar, Strobl, Austria, 2012, 2013, 2014, 2015, 2016.

 

Publications

Liangjie Ye, Elliptic function based algorithms to prove Jacobi theta function relations, Journal of Symbolic Computation, to appear. pdf

Liangjie Ye, A symbolic decision procedure for relations arising among Taylor coefficients of classical Jacobi theta functions, Journal of Symbolic Computation, 82, pp. 134- 163, 2017. pdf

Liangjie Ye, Complex analysis based computer algebra algorithms for proving Jacobi theta function identities, PhD thesis updated version, RISC Linz,  June 2017. pdf