Yulan Qing

I am an Assistant Professor at University of Tennessee at Knoxville. My research interests lie in low-dimensional topology and geometric group theory. My current research focuses on asymptotic properties of various finitely generated groups as well as the big mapping class groups. Specifically, I am interested in generalization of the Gromov boundary, various notions of genericity in groups, Out(Fn) and generalizations of curve graphs in different settings.

Contact

Email: yqing@utk.edu, yulan.qing@gmail.com


Mailing adress:
Ayres Hall, 1403 Circle Dr
Knoxville, TN 37916

Papers

1. Quasi-redirecting boundaries of non-positively curved groups with Hoang Thanh Nguyen and Alex Margolis. [pdf]
2. Topological and dynamic properties of the sublinearly Morse boundary and the quasi-redirecting boundary with Elliot Vest and Jacob Garcia. [pdf]
3. The quasi-redirecting boundary with Kasra Rafi. [pdf]
4. Genericity of sublinearly Morse directions in general metric spaces with Wenyuan Yang, submitted. [pdf]
5. An algorithm to decide if an outer automorphism is geometric with Edgar A. Bering IV, submitted. [pdf]
6. Genericity of sublinearly Morse directions in CAT(0) spaces and the Teichmüller space with Ilya Gekhtman and Kasra Rafi, to appear in Mathematische Zeitschrift. [pdf]
7. Sublinear bilipschitz equivalence and sublinearly Morse boundary with Gabriel Pallier, Journal of the London Mathematical Society 110 (2). [pdf]
8. Sublinearly Morse Boundary of CAT(0) admissible groups with Hoang Thanh Nguyen, Journal of Group Theory 27 (4), 857. [pdf]
9. Sublinearly Morse Boundary II: Proper geodesic spaces with Kasra Rafi and Giulio Tiozzo, Geometry & Topology 28(4) (2024) 1829--1889. [pdf]
10. Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization with Devin Murray and Abdul Zalloum, Algebraic & Geometric Topology 22 (2022) 1337-1374. [arxiv]
11. Topological properties of sublinearly Morse boundaries of CAT(0) groups with Abdul Zalloum, to appear in Pacific Journal of Mathematics. [pdf]
12. Sub-linearly Morse boundary I: CAT(0) spaces with Kasra Rafi and Giulio Tiozzo, Advances in Mathematics 404, August 2022, 108442. [pdf]
13. Dilatations of right-angled Artin groups with Corey Bregman, submitted. [pdf]
14. Hyperbolic actions of big mapping class groups with Camille Horbez and Kasra Rafi, Journal of the Institute of Mathematics of Jussieu Volume 21 , Issue 6 , November 2022 , 2173-2204. [pdf]
15. Convexity of balls in Outer space with Kasra Rafi. Groups, Geometry, and Dynamics 15 (2021), no. 3, 893–934 [pdf]
16. Quasi-geodesics in Out(Fn) and their shadows in sub-factors with Kasra Rafi, Journal of the London Mathematical Society 104 (1), January 2021, 147-168. [pdf]
17. Excursions of generic geodesics in right-angled Artin groups and graph products with Giulio Tiozzo. International Mathematics Research Notices 2021 (22), 16910-16937 [pdf]
18. Uniform fellow traveling between surgery paths in the sphere graph with Matt Clay and Kasra Rafi. Algebraic & Geometric Topology 17(2017) 3751-3778 [pdf]
19. Actions of right-angled Coxeter groups on the Croke-Kleiner spaces , Geometriae Dedicata 185(1), 1-14, 2016 [pdf]
20. Geometry of right-angled Coxeter groups on the Croke-Kleiner spaces, Geometriae Dedicata 183(1), 113-122, 2016 [pdf]
21. Subspace intersection graphs with Joshua Laison. Discrete Math, 310, no. 23, 3413-3416, 2010 [journal]
22. Knight's Tours for cubes and boxes with John Watkins, Congressus Numerantium 181 (2006) 41-48 [pdf]

Current projects

• On Martin Boundary, Ilya gekhtman and Peter Kosenko.
• Generalized Balmslag Solitar Groups, with Daxun Wang and Xin Ma.
• Sublinear BiLipcshitz Equivalence II, with Gabriel Pallier.
• Hyperbolic spines of proper metric spaces, with Johanna Mangahas.

Teaching

• 2024 Spring: Introduction to Geometric Group Theory, University of Tennessee
• 2023 Fall: Honors Topology, University of Tennessee
• 2023 Spring: Topics in Geometric Group Theory, Fudan University
• 2020-2021: Linear Algebra, Fudan University
• 2019-2020: Calculus and Linear Algebra for Commerce, University of Toronto
• 2018 Fall: PMU199 First Year Seminars, University of Toronto
• 2017-2018: PMU199 First Year Seminars, University of Toronto
• 2016-2017: MAT223 Linear Algebra, University of Toronto
• 2015-2016: MAT137 Calculus, University of Toronto

Recent Invited Talks

• University of Virginia, October 29 2024
• CUNY Graduate Center, October 8 2024
• Universite de Lille , July 5, 2024
• Fields Institute, May 16, 2024
• Brandeis University, March 26, 2024
• Florida State University, March 23, 2024
• University of Wisconsin-Madison, February 19, 2024
• Vanderbilt University, November 15, 2023
• California Institute of Technology, October 6, 2023
• RTG Conference on Asymptotic Invariants and Limits of Groups and Spaces, Heidelberg, September 18-20, 2023
• GAGTA, July, 2023
• Tokyo Institute of Technology, June 13, 2023
• Huadong Topology Day at Shanghai Jiaotong University, June 10, 2023
• Beijing University, May 24, 2023
• North Eastern Topology Day, March 28, 2023
• Joint Seminar on Teichmuller Theory and related Topics, February 28, 2023
• Moscow-Beijing Topology Seminar, February, 2023
• East Asia Geometric Topology Conference, February, 2023
• McMaster University, January 12, 2023
• The 2nd China-Russia Conference on Topology and Combinatorics, December 22, 2022
• The Pacific Rim Mathematical Association Congress, December 4, 2022
• KIAS, October 13, 2022
• Tufts University, September 29, 2022
• SUNY Buffalo, September 16, 2022
• University of Toronto, June 1, 2022

Conferences and Seminars Organizing

• 53rd Barrett Memorial Lectures: Recent Development in Geometric Group Theory, Townsend, May 19-22, 2025.
• Topology Seminar at University of Tennessee at Knoxville, current.
• Second Geometric Group Theory Graduate Summer Conference, Fudan University, August 7-11, 2023.
• Mini-Course on Coarse Geometry of the Big Mapping Class Group, Fudan University, August, 2022.
• First Geometric Group Theory Graduate Summer Conference, Fudan University, August 15-19, 2022.
• AIM Random Walks Workshop April 11-15, 2022.
• A Week at Infinity Spring Workshop on Boundaries in Geometric Group Theory, March 28-April 1, 2022
• Fields Medal Symposium 2018 in honor of Maryam Mirzakhani Fields Institute, November 5-9, 2018
• Fudan Topology Seminar, 2022-2023.
• Geometric Group Theory in East Asia, 2020-2022.
• Hyperbolic Lunch, 2019-2020.

Graduate Students

• Sagnik Jana (2023-)
• Alex Squires (2024-)

Mentorship and Outreach

I am a faculty mentor for Honors students at University of Tennessee. Previously I was in undergraduate mentoring for advanced math majors at Fudan University, as well as the Mentorship program at University of Toronto in 2017. I was an instructor at Math Circles at Harvard University and Founder for Math Circle at Tufts University. I was the teaching assistant for Professor Aaron Abrams at the RTG summer workshop at University of California Berkeley in 2012. I was the Research Mentor for two summers in the RSI Summer Program at MIT in 2007 and 2008.