Free and Discrete Generating Pairs of Tree Automorphisms
Y. Du
😺Yukun (Bennie) Du
(he/they)
Postdoctoral Teaching & Researching Fellow
Professional Summary
Yukun Du is a Postdoctoral Researcher in Department of Mathematics at University of Georgia. Their general area of interests lies in geometry and topology. Their research focuses on geometric group theory, especially in understanding discrete subgroups of Lie/Chevalley groups by mean of geometric and combinatorial objects.
Education
PhD Mathematics
University of California, Davis
MS Mathematics
Tsinghua University
BS Mathematics
Tsinghua University
Interests
Geometric Group Theory
Geometric Combinatorics
Hyperbolic Geometry
Lie groups and Chevalley Groups
My Research
My research interest focuses on Geometric Group Theory, especially Kleinian groups (for both hyperbolic and higher-rank symmetric spaces).
My Doctoral Thesis, Geometry of Selberg’s bisectors in the symmetric space SL(n,R)/SO(n,R), discussed topics related to an algorithm for discrete subgroups of SL(n,R) acting on this symmetric space.
I am also interested in Bruhat-Tits trees and buildings.
Featured Publications
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Recent Publications
(2025).
Free and Discrete Generating Pairs of Tree Automorphisms.
arXiv.
(2024).
Busemann-Selberg Functions and Completeness for Dirichlet-Selberg domains in $mathrmSL(n,ℝ)/mathrmSO(n)$.
arXiv.
(2024).
Geometry of Selberg's bisectors in the symmetric space $SL(n,ℝ)/SO(n,ℝ)$.
J. Lond. Math. Soc..
(2018).
Generalized Darboux Transformation for the Discrete Kadomtsev–Petviashvili Equation with Self-Consistent Sources.
Theoretical and Mathematical Physics.
Recent & Upcoming Talks
Poincaré’s Algorithm for the Lie Group SL(n, R)
A research talk related to my doctoral & more recent research on higher-rank symmetric spaces.
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My Blog
My first post
This is the first post of my personal homepage! As a geometrist, a random thing I want to share here is a fundamental polyhedron of the Whitehead link group (in Poincaré unit ball …
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