University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Cohomology of group theoretic Dehn fillings I: Cohen-Lyndon type theorems
Journal of Algebra volume 542 page 277-307 (1 January 2020)
A dynamical characterization of acylindrically hyperbolic groups
Algebraic & Geometric Topology issue 4 volume 19 page 1711-1745 (16 August 2019)
Geometric group theory
Currtently, I have no teaching duty in Oxford, but I have taught several courses in the University of California, Riverside. Below are those courses.
- Spring 2020 Math 151C Advanced Calculus
- Spring 2020 Math 46 Ordinary Differential Equations
- Winter 2020 Math 9A First-year Calculus
- Winter 2020 Math 011 Introduction to Discrete Structures
- Fall 2019 Math 7A Calculus for Life Science
- Fall 2019 Math 46 Ordinary Differential Equations
Prizes, awards, and scholarships:
 2019 Bjarni Jonsson Prize for Research (Vanderbilt University)
Major / recent publications:
My research interest mainly lies in the field of geometric group theory, which studies groups by their actions on metric spaces. I have done some work on acylindrically hyperbolic groups, which vastly generalize the notion of fundamental groups of closed hyperbolic manifolds.
 B. Sun, “Cohomology of group theoretic Dehn fillings II: A spectral sequence,” arXiv version
 B. Sun, “Cohomology of group theoretic Dehn fillings III: Applications,” arXiv version
Please note that I am currently working with Nansen Petrosyan to improve the above papers  and . The new version will appear shortly.
Besides geometric group theory, I am also interested in discrete geometry. In the following collaborated work, we prove a six-neighbor theorem for planar normal tilings.
 L. Huang, B. Sun, and T. Wang, “A six-neighbor theorem for planar normal tilings,” In preparation.