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I am a mathematician and. postdoctoral research associated of Michigan State Unviersity. Before this appointment, I was a postdoctoral researcher in the University of Oxford and the University of California, Riverside. I obtained my PhD in Vanderbilt University under the supervision of Prof. Denis Osin. I am interested in geometric group theory and L2-invariants. My research is supported by NSF research grant DMS-2507047.
My departmental address is
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI, USA, 48824
Email sunsun335 "at" gmail"dot"com
Honers and Awards
Kamil Duszenko Award, 2025
NSF Conferences and Workshops in the Mathematical Sciences, 2025
AMS--Simons Travel Grant, 2023 -- 2025
Kovalevskaya Travel Grant, ICM Saint Petersburg, 2022
Bjarni Jónsson Prize for Research (Vanderbilt University), 2019
Research Interest
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.
"Wreath-like products of groups and rigidity of their von Neumann algebras I: W*-superrigidity," (with Ionut Chifan, Adrian Ioana, Denis Osin), Ann. Math. (2), no. 3, 1261–1303, 2023. published version arXiv:2111.04708.
"Wreath-like products of groups and rigidity of their von Neumann algebras II: Outer automorphisms," (with Ionut Chifan, Adrian Ioana, Denis Osin), accepted by Duke Math. J. arXiv:2304.07457.
“Agrarian and L2-Betti numbers of locally indicable groups, with a twist,” (with Dawid Kielak), Math. Ann. 1--53, 2024. arXiv:2112.07394.
“Cohomology of group theoretic Dehn fillings II,” (with Nansen Petrosyan), Adv. Math. 437, 109421, 2024. arXiv:1908.01290.
“Invariant subalgebras of von Neumann algebras arising from negatively curved groups,” (with Ionut Chifan and Sayan Das), J. Funct. Anal., 285, no. 9, Page No. 110098, 2023. published version arxiv:2207.13775
“A dynamical characterization of acylindrically hyperbolic groups,” Algebr. Geom. Topol., 19(4):1711–1745, 2019. published version arXiv:1707.04587
“Cohomology of group theoretic Dehn fillings I: Cohen–Lyndon type theorems,” J. Algebra 542:277–307, 2020. published version arXiv:1809.08762
"Wreath-like products of groups and their von Neumann algebras III: Embeddings," (with Ionut Chifan, Adrian Ioana, Denis Osin), arXiv:2402.19461.
"Small cancellation and outer automorphisms of Kazhdan groups acting on hyperbolic spaces," (with Ionut Chifan, Adrian Ioana, Denis Osin), arXiv:2304.07455.
“On a Planar Six-neighbor Theorem and Its Application,” (with Longxiu Huang, Meiqi Wang, Tao Wang, Wen Zhang and Yusi Zhang), J. Math. Anal. Appl. 523, no. 2, Page no. 127020, 15.
``L^2-Betti numbers of Dehn fillings,'' (with Nansen Petrosyan), arXiv:2412.16090.
``Dimensions of finitely generated simple groups and their subgroups,'' (with Francesco Fournier-Facio), arXiv:2503.01987.
Teaching
Supervision
O. Jones, ``Superlinear divergence and Morse quasi-geodesics in finitely generated groups,'' master's thesis, preprint, 2022.
L. Issini, ``Divergence function of solvable groups,'' master's thesis, preprint, 2022.
M. Penrose, ``Divergence in Thompson groups,'' master's thesis, preprint, 2022.
B. Plimley, ``Superlinear divergence Of groups with deficiency at least two,'' master's thesis, preprint, 2022.
Assessment
Transfer viva for Ph.D. candidate Shanshan Hua, Unviersity of Oxford, Jan 2023
Transfer viva for Ph.D. candidate Sam Fisher, Unviersity of Oxford, Jan 2022
Instruction
Spring 2020 Math 151C Advanced Calculus, University of California, Riverside
Spring 2020 Math 46 Ordinary Differential Equations, University of California, Riverside
Winter 2020 Math 9A First-year Calculus, University of California, Riverside
Winter 2020 Math 011 Introduction to Discrete Structures, University of California, Riverside
Fall 2019 Math 7A Calculus for Life Science, University of California, Riverside
Fall 2019 Math 46 Ordinary Differential Equations, University of California, Riverside
Tutorial
Trinity 2022, Group Theory, University of Oxford, Exeter College
Hilary 2022, Linear Algebra II, University of Oxford, Exeter College
Michaelmas 2021, Linear Algebra I, University of Oxford, Exeter College
Hobbies
I play badminton, swimming, Chinese Chess, and Reversi in my spare time. Sometimes I play Chinese Chess and Reversi on PlayOk. I am also interested in Western Chess and Go, but know almost nothing about these two games. It would be great if you can play with me or teach me the board games 😊
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