Xiaolong Hans Han

Bio

Xiaolong Han is an Assistant professor at Shanghai Institute of Mathematics and Interdisciplinary Sciences. Before joining SIMIS, he was a postdoc at Yau Mathematica Sciences Center at Tsinghua University. In 2021, he obtained his PhD degree from University of Illinois Urbana-Champaign. His research interest is low-dimensional manifolds and hyperbolic geometry.

Education Experience

• 2016–2021 University of Illinois Urbana-Champaign Mathematics Ph.D
• 2015–2016 University of Illinois Urbana-Champaign Mathematics Master of Science
• 2013–2015 University of Illinois Urbana-Champaign Mathematics Bachelor of Science

Work Experience

• Yau Mathematical Sciences Center, Tsinghua University Postdoc

Honors and Awards

• Postdoctoral Scholar Teaching Award Qiuzhen College, Tsinghua University Fall 2023
• Postdoctoral Scholar Teaching Award Qiuzhen College, Tsinghua University Spring 2023
• Postdoctoral Scholar Teaching Award Qiuzhen College, Tsinghua University 2022
• Trijitzinsky Fellowship University of Illinois Urbana-Champaign 2020

Publications

1. On Eigenvalues of Geometrically Finite Hyperbolic Manifolds with Infinite Volume. Preprint 2023, 14 pages, accepted by Journal of Topology and Analysis. arXiv:2004.01698v2
2. Harmonic Forms, Minimal Surfaces and Norms on Cohomology of Hyperbolic 3-Manifolds. Preprint 2023, 33 pages, accepted by Int. Math. Res. Not. IMRN. arXiv:2011.14457v3
3. (with Yuxin He, Han Hong) Large Steklov eigenvalue on hyperbolic surfaces. Preprint 2023, 20 pages. arXiv:2210.06752
4. Thurston norms, L2-norms, geodesic laminations, and Lipschitz maps. Preprint 2023, 43 pages. arXiv:2310.18093