RESEARCH INTEREST

Obstructions to Existence of Rational Points on a Variety

Finiteness in Number of Integral Elements




(Pre-)Publication in Mathematics

Weak approximation for points with coordinates in rank-one subgroups of global function fields
(download)
Chia-Liang Sun. preprint


A Local-Global Criteria of Affine Varieties Admitting Points in Rank-One Subgroups of a Global Function Field
(download)
Chia-Liang Sun. Journal de Théorie des Nombres de Bordeaux, to appear


Integral Points off hyperplanes in positive characteristic
(download)
Chia-Liang Sun, and Julie Tzu-Yueh Wang. Journal of Number Theory (2017), 10.1016/j.jnt.2017.07.014.


Multiplicative subgroups avoiding linear relations in finite fields and a local-global principle
(download)
Hector Pasten, and Chia-Liang Sun. Proceedings of the American Mathematical Society, 144(6):2361-2373, 2016.


The Brauer-Manin-Scharaschkin obstruction for subvarieties of a semi-abelian variety and its dynamical analog
(download)
Chia-Liang Sun. Journal of Number Theory, 147:533-548, 2015.


Integral orbits over function fields
(download)
Hsiu-Lien Huang, Chia-Liang Sun, and Julie Tzu-Yueh Wang. International Journal of Number Theory, 10(08):2187-2204, 2014.


Local-Global Principle of affine varieties over a Subgroup of Units in a Function Field
(download)
Chia-Liang Sun. International Mathematics Research Notices, 2014(11):3075-3095, 2014.


Product of Local Points of Subvarieties of Almost Isotrivial Semi-Abelian Varieties Over a Global Function Field
(download)
Chia-Liang Sun. International Mathematics Research Notices, 2013(19):4477-4498, 2013.


Publication in Computer Science

Decomposition Methods for Linear Support Vector Machines
(download)
Wei-Chun Kao, Kai-Min Chung, Chia-Liang Sun, Chih-Jen Lin. Proceedings of International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2003. Neural Computation, 16:1689-1704, 2004.


Radius Margin Bounds for Support Vector Machines with RBF Kernel
(download)
Kai-Min Chung, Wei-Chun Kao, Chia-Liang Sun, Li-Lun Wang, Chih-Jen Lin. Proceedings of International Conference on Neural Information Processing (ICONIP), 2002. Neural Computation, 15:2654-2681, 2003.

HONORS
(after getting the Ph. D.)

Academic Publication Award for Postdoctoral Research Fellow 2013
presented by Ministry of Technology, Taiwan, for my paper ``Local-Global Principle of affine varieties over a Subgroup of Units in a Function Field”

EDUCATION

University of Texas at Austin, Austin, Texas, USA
Doctor of Philosophy Aug. 2006 – May. 2011
⬧ Major: Mathematics
⬧ Thesis: The Intersection of Closure of Global Points of a Semi-Abelian Variety with a Product of Local Points of its Subvarieties under the supervision of Felipe Voloch
National Taiwan University, Taipei, Taiwan
Master of Science Sep. 2003 - Jun. 2005
⬧ Major: Mathematics
⬧ Thesis: Quaternion Orders under the supervision of Ki-Seng Tan
Bachelor of Science in Engineering Sep. 1999 - Jun. 2003
⬧ Major: Computer Science and Information Engineering
Bachelor of Science Sep. 2000 - Jun. 2003
⬧ Major: Mathematics

PROFESSIONAL EXPERIENCE (before getting the Ph. D.)

Department of Mathematics, University of Texas at Austin
Grader for ``Algebraic Structures I” Fall 2010
Grader for ``Algebraic Structures I” Spring 2010
Grader for ``Real Analysis I” Fall 2009
Grader for ``Probability I” Spring 2009
Grader for ``Algebraic Structures I” Fall 2008
Grader for ``Real Analysis I” Spring 2008
Grader for ``Applied Number Theory” Fall 2007
Grader for ``Probability I” (2 sessions) Spring 2007


National Center for Theoretical Sciences (Taipei Office), Mathematics Division
Research Assistant under the supervision of Dr. Jung-Kai Chen Aug. 2005 ~ Jul. 2006


Department of Mathematics, National Taiwan University
Research Assistant for Dr. Ki-Seng Tan Sep. 2003 ~ Jun. 2005
Teaching Assistant for ``Honor Calculus” Fall 2003, Spring 2004, Fall 2004, Spring 2005
Teaching Assistant for ``Calculus (B)” Summer 2004


Institute of Mathematics, Academia Sinica
Student of the Summer Seminar for the topic ``Geometry and Fields Quantization’’ Jul. ~ Aug. 2003


Department of Computer Science & Information Engineering, National Taiwan University
Research Assistant of Dr. Chih-Jen Lin Sep. 2001 ~ Jun. 2003
Model selection on Support Vector Machines.
Optimization technique for solving linear Support Vector Machines.