Chia-Liang Sun

Curriculum Vitae 


RESEARCH INTEREST


CONTACT INFORMATION


Papers in Mathematics

Product of Local Points of Subvarieties of Almost Isotrivial Semi-Abelian Varieties Over a Global Function Field 

(download) 

International Mathematics Research Notices, 2013(19):4477-4498, 2013.


Local-Global Principle of affine varieties over a Subgroup of Units in a Function Field 

(download) 

International Mathematics Research Notices, 2014(11):3075-3095, 2014. 


Integral orbits over function fields 

(download) 

with Hsiu-Lien Huang and Julie Tzu-Yueh Wang. International Journal of Number Theory, 10(08):2187-2204, 2014. 


The Brauer-Manin-Scharaschkin obstruction for subvarieties of a semi-abelian variety and its dynamical analog 

(download) 

Journal of Number Theory, 147:533-548, 2015. 


Multiplicative subgroups avoiding linear relations in finite fields and a local-global principle

(download) 

with Hector Pasten. Proceedings of the American Mathematical Society, 144(6):2361-2373, 2016. 


A Local-Global Criteria of Affine Varieties Admitting Points in Rank-One Subgroups of a Global Function Field

(download)  

Journal de Théorie des Nombres de Bordeaux, 30 (2018), no. 1, 59–79.


Integral Points off hyperplanes in positive characteristic 

(download) 

with Julie Tzu-Yueh Wang. Journal of Number Theory, 183 (2018), 233-248. 


Weak approximation for points with coordinates in rank-one subgroups of global function fields 

(download) 

Canadian Mathematical Bulletin, 61 (2018), no.4, 878-890.


The triviality of Brauer–Manin obstruction for subvarieties of semi-abelian varieties over function fields of characteristic zero

(download) 

Manuscripta Mathematica 160 (2019), 385–389. 


Integral Division points on the multiplicative group over arithmetically interesting fields

(download) 

Chia-Liang Sun. preprint.


On the d-th roots of exponential polynomials and related problems arising from Green-Griffiths-Lang conjecture

(download) 

with Ji Guo and Julie Tzu-Yueh Wang. The Journal of Geometric Analysis. to appear.


On Pisot's $d$-th root conjecture for function fields and related GCD estimates

(download) 

with Ji Guo and Julie Tzu-Yueh Wang. preprint.


Unlikely Intersection between Additive and Multiplicative structures

(download) 

preprint.


A second main theorem for algebraic tori with moving targets and applications for the Green-Griffith-Lang conjecture and exponential polynomials. 

with Ji Guo and Julie Tzu-Yueh Wang. in preparation.



Publication in Computer Science

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.


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. 


TALKS

• 2011 Mathematical Conference and Annual Meeting of the TMS, Chung Yuan Christian University, on 2011/12/11

• Conference on Diophantine Problems and Arithmetic Dynamics, Academia Sinica, on 2013/06/26

• East Asia Number Theory Conference 2014, Nishijin Plaza, Fukuoka, on 2014/01/24

• East Asia Number Theory Conference 2016, Nankai University, Tianjin, on 2016/08/23

• East Asia Number Theory Conference 2019, KAIST, Daejeon, on 2019/08/26

• Colloquium, Department of Mathematics at National Cheng Kung University, on 2019/09/26

• Colloquium, Department of Applied Mathematics at National Chiao-Tung University, on 2020/11/17