Yulan Qing

I am a tenure-track Professor at Fudan University (SCMS). My research interests lie in low-dimensional topology and geometric group theory. My current research focuses on the geometric and dynamical aspects of finitely generated groups and their automorphism groups. In particular, the geometry of Out(Fn) and non-positively curved groups have been the center of my work.

Contact

Email: qingyulan@fudan.edu.cn, yulan.qing@gmail.com


Mailing adress:
Shanghai Center for Mathematical Sciences
No. 2005 Shonghu Road
Shanghai, China

Papers

1. Genericity of sublinearly Morse directions in CAT(0) spaces and the Teichmüller space with Ilya Gekhtman and Kasra Rafi, submitted. [pdf]
2. Sublinear bilipschitz equivalence and sublinearly Morse boundary with Gabriel Pallier, submitted. [pdf]
3. Sublinearly Morse Boundary of CAT(0) admissible groups with Hoang Thanh Nguyen, submitted. [pdf]
4. Sublinearly Morse Boundary II: Proper geodesic spaces with Kasra Rafi and Giulio Tiozzo, to appear in Geometry & Topology. [pdf]
5. 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]
6. Topological properties of sublinearly Morse boundaries of CAT(0) groups with Abdul Zalloum, submitted. [pdf]
7. Sub-linearly Morse boundary I: CAT(0) spaces with Kasra Rafi and Giulio Tiozzo, Advances in Mathematics 404, August 2022, 108442. [pdf]
8. Dilatations of right-angled Artin groups with Corey Bregman, submitted. [pdf]
9. 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]
10. Convexity of balls in Outer space with Kasra Rafi. Groups, Geometry, and Dynamics 15 (2021), no. 3, 893–934 [pdf]
11. 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]
12. Excursions of generic geodesics in right-angled Artin groups and graph products with Giulio Tiozzo. International Mathematics Research Notices 2021 (22), 16910-16937 [pdf]
13. Uniform fellow traveling between surgery paths in the sphere graph with Matt Clay and Kasra Rafi. Algebraic & Geometric Topology 17(2017) 3751-3778 [pdf]
14. Actions of right-angled Coxeter groups on the Croke-Kleiner spaces , Geometriae Dedicata 185(1), 1-14, 2016 [pdf]
15. Geometry of right-angled Coxeter groups on the Croke-Kleiner spaces, Geometriae Dedicata 183(1), 113-122, 2016 [pdf]
16. Subspace intersection graphs with Joshua Laison. Discrete Math. 310, no. 23, 3413-3416, 2010 [journal]
17. Knight's Tours for cubes and boxes with John Watkins, Congressus Numerantium 181 (2006) 41-48 [pdf]

Current projects

• Gromov boundary extended, with Kasra Rafi.
• Geometricity of outer automorphisms of the free group, with Edgar A. Bering IV.
• Sublinear BiLipcshitz Equivalence II, with Gabriel Pallier.

Theses

• Boundary of CAT(0) groups with right-angles, PhD thesis, Tufts University, 2013.
• Differential poset and dual graded graphs, Master's thesis, Massachussets Institute of Technology, 2008.

Slides and Posters

• Sublinearly Morse boundary, University of Warwick Geometry and Topology Seminar (online), June 2020.
• Convexity of balls in Outer space, Ventotene International Workshop III Moduli Spaces, Italy, September 2017.
• Uniform fellow travelling between surgery paths in the sphere graphs, 51st Spring Topology and Dynamical Systems Conference Jersey City, March 2017.

Teaching

• 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

Invited Talks

• AIM Workshop on Rigidity properties of free-by-cyclic groups, October 2-6, 2023
• RTG Conference on Asymptotic Invariants and Limits of Groups and Spaces, Heidelberg, September 18-20, 2023
• GAGTA, July, 2023
• North Eastern Topolody 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
• East Asia Geometric Topology Conference, January 18, 2022
• International young seminar on bounded cohomology and simplicial volume, December 20, 2021
• Beijing University, June 8, 2021
• Fudan University, April 21, 2021
• Ohio State University, February 11, 2021
• University of Wisconsin Milwaukee, February 3, 2021
• University of Bristol, January 12, 2021
• Brandeis University, December 8, 2020
• Columbia University (slides), October 16, 2020
• University of Warwick, June 16, 2020
• Shanghai Center for Mathematical Science, December 7, 2019
• York University, November 4, 2019
• Queen's University, August 9, 2019
• Fudan University, July 26, 2019
• East China Normal University, July 23, 2019
• Huazhong University of Science and Technology, May 10, 2019
• University of Illinois at Chicago, April 29, 2019
• Tufts University, November 2018
• University of Chicago, November 2018
• Temple University, October 2018
• University of Toronto, October 2018
• University of Waterloo, September 2018
• CUNY Graduate Center, September 2018
• McMaster University, April 2018
• University of Buffalo, February 2018
• McGill University, January 2018
• University of Toronto, November 2017
• University of Michigan, October 2016
• GANITA seminar at University of Toronto, August 2015
• Haifa University, April 2014
• Fairfield University, September 2013
• Wellesley College, September 2013
• Boston College, September 2013
• Brandeis University, April 2013
• CUNY Graduate Center, March 2013
• Ohio State University, October 2012
• HCSSiM prime-time lecture, July 2012
• Eastern China Normal University, January 2011

Conferences and Seminars Organizing

• 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. (Registration is open!)
• 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, current.
• Geometric Group Theory in East Asia, 2020-2022.
• Hyperbolic Lunch, 2019-2020.

Mentorship and Outreach

Currently I am a faculty advisor for four students in the Fudan University undergraduate advanced math track. Previously participated in the Mentorship program at University of Toronto in 2017, I was instructor at Math Circles in Boston from 2011-2012, I was a teaching assistant at an the RTG summer workshop at University of California Berkeley in 2012, and I was the Research Mentor for two summers in the RSI Summer Program at MIT in 2007 and 2008.