Address: Institute for Mathematics and Fundamental Physics, 99 Xiupu Road, Pudong New Area, Shanghai, China
Email:
I am a postdoc at the C.N. Yang Institute for Mathematics and Fundamental Physics. I from August 2020 to July 2026 I was a PhD student at UC Berkeley under the supervision of Song Sun in 2026.
I study Kähler geometry, specifically noncompact shrinking Kähler–Ricci solitons and other special metrics on noncompact Kähler manifolds.
C. Cifarelli, C. Esparza. "K-polystability of asymptotically conical Kähler–Ricci shrinkers." 2025. arXiv:2512.03323
C. Esparza. "Shrinking gradient Kähler–Ricci solitons are simply-connected." 2025. arXiv:2503.05838 (a short note)
C. Esparza. "Uniqueness of asymptotically conical shrinking gradient Kähler–Ricci solitons." 2025. arXiv:2502.13521. Accepted for publication in Geometry & Topology.
Invited Talks
Feb 23 2025: Purdue Geometry and Geomgetric Analysis seminar
Feb 11 2025: Princeton Differential Geometry & Geomgetric Analysis seminar
Nov 20 2025: Northwestern University informal geometric analysis seminar
Oct 21 2025: University of Maryland geometric analysis seminar
