Dr Bin Sun
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
[1] 2019 Bjarni Jonsson Prize for Research (Vanderbilt University)
[2] 2022 Kovalevskaya Travel Grant, ICM Saint Petersburg
My research interest mainly lies in the field of geometric group theory and its application to L2-invariants, and homological methods in group theory. Please see my research statement for more information. Below is a list of my papers.
[1] “A dynamical characterization of acylindrically hyperbolic groups,” Algebr. Geom. Topol., 19(4):1711–1745, 2019. published version arXiv:1707.04587
[2] “Cohomology of group theoretic Dehn fillings I: Cohen–Lyndon type theorems,” J. Algebra 542:277–307, 2020. published version arXiv:1809.08762
[3] “Cohomology of group theoretic Dehn fillings II,” (with Nansen Petrosyan) arXiv:1908.01290.
[4] “Wreath-like product groups and rigidity of their von Neumann algebras,” (with Ionut Chifan, Adrian Ioana, Denis Osin) arXiv:2111.04708.
[5] “Agrarian and L2-Betti numbers of locally indicable groups, with a twist,” (with Dawid Kielak) arXiv:2112.07394.
[6] “Invariant subalgebras of von Neumann algebras arising from negatively curved groups,” (with Ionut Chifan and Sayan Das) arxiv:2207.13775.
Besides topology and functional analysis, I am also interested in discrete geometry. In the following collaborated work, we prove a six-neighbor theorem for planar normal tilings.
[7] “On a Planar Six-neighbor Theorem and Its Application,” (with Longxiu Huang, Meiqi Wang, Tao Wang, Wen Zhang and Yusi Zhang) to appear at J. Math. Anal. Appl.
Geometric group theory and its application to operator algebras and L^2-invariants
Supervision
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O. Jones, ``Superlinear divergence and Morse quasi-geodesics in finitely generated groups,'' master's thesis, preprint, 2022.
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L. Issini, ``Divergence function of solvable groups,'' master's thesis, preprint, 2022.
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M. Penrose, ``Divergence in Thompson groups,'' master's thesis, preprint, 2022.
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B. Plimley, ``Superlinear divergence Of groups with deficiency at least two,'' master's thesis, preprint, 2022.
Assessment
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Transfer viva for Ph.D. candidate Shanshan Hua, Unviersity of Oxford, Jan 2023
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Transfer viva for Ph.D. candidate Sam Fisher, Unviersity of Oxford, Jan 2022
Teaching at the University of California, Riverside:
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Spring 2020 Math 151C Advanced Calculus
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Spring 2020 Math 46 Ordinary Differential Equations
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Winter 2020 Math 9A First-year Calculus
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Winter 2020 Math 011 Introduction to Discrete Structures
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Fall 2019 Math 7A Calculus for Life Science
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Fall 2019 Math 46 Ordinary Differential Equations
Tutoring at the University of Oxford:
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Trinity 2022, Group Theory, University of Oxford, Exeter College
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Hilary 2022, Linear Algebra II, University of Oxford, Exeter College
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Michaelmas 2021, Linear Algebra I, University of Oxford, Exeter College