Research

I'm a geometer/topologist. What captivates me most about geometry is the interplay among diverse mathematics within a single problem. Consequently, I do not confine myself exclusively to a particular area or tools—I consider myself quite a generalist and aspire to approach problems from multiple perspectives.

Current Research Problems

• Blaschke's Conjecture in Complex Projective Spaces
• Geometric Features of Entire Grauert Tubes
• Signature and Casson Invariant of Milnor Fiber

Papers

1. Zoll Manifolds of Type ℂℙⁿ with Entire Grauert Tubes (with Chi Li), arxiv.org/abs/2501.15682, submitted
2. A Note on Zoll Manifolds with Entire Grauert Tubes, arxiv.org/abs/2508.03352, submitted

Invited Talks

1. Characterization of Zoll Manifolds via Algebraization – Lightning Talk (15 min) at Summer school I: Invitation to complex geometry, Renyi Institute, August 08, 2025
2. Characterization of Zoll Manifolds via Algebraization – Mini Workshop on Differential Geometry, Korea University, June 25, 2025
3. Characterization of Zoll Manifolds via Algebraization – Rutgers Complex Geometry Seminar, March 14, 2025
4. What is: Geometric Group Theory? – Rutgers Student Geometry/Topology Seminar, November 7, 2023