Department of Mathematics,
University of Wisconsin - Madison.
(I am currently on the job market looking for post-doctoral positions.)
618 Van Vleck Hall,
480 Lincoln Dr.,
Madison, WI 53704
Email: jing (dot) hao (at) wisc (dot) edu
My research mainly focuses on algebraic coding theory and information theory. My advisor is Nigel Boston.
For coding theory, my main project is on a family of codes called quasi-quadratic residue codes (joint work with Nigel Boston). We mainly study the weight distribution of these codes as well as their relation with hyperelliptic curves.
More recently, I am studying entropy inequalities (joint work with Varun Jog from ECE). We study entropy inequalities involving directional and joint entropy. We are interested in its connections to the central limit theorem.
- Quasi-quadratic residue codes and hyperelliptic curves. With Nigel Boston.
accepted to AMS CONM volume on "Algebraic curves and their applications"
- An entropy inequality for symmetric random variables. With Varun Jog.
accept to ISIT 2018, arXiv: 1801.03868
- The Weight Distribution of Quasi-quadratic Residue Codes. With Nigel Boston.
to appear in Adv. Math. Commun. May 2018, arXiv: 1705.06413
- Spring 2017: Math 234. Caculus: Functions of Several Variables.
- Fall 2016: Math 211. Business Calculus.
- Spring 2016: Math 211. Business Calculus.
- Fall 2015: Math 211. Business Calculus.
- Spring 2015: Math 234. Caculus: Functions of Several Variables.
- Fall 2014: Math 234. Caculus: Functions of Several Variables.
- Spring 2014: Math 221. Caculus and Analytic Geometry I.
- Fall 2013: Math 221. Caculus and Analytic Geometry I.