I am a sixth-year graduate student in Mathematics at UC Berkeley. I study Kähler geometry, specifically noncompact shrinking Kähler–Ricci solitons and other special metrics on noncompact Kähler manifolds. My faculty advisor is Song Sun. I took my qualifying exam in 2022, here is my syllabus and a transcript (with a lot of typos).
Before that I was an undergraduate student in Mathematics and Physics at TU München and LMU München.
I am currently on the market for postdoc positions starting in the Fall of 2026. Here are my research statement and my CV.
Preprints
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. Submitted.
Invited Talks
Nov 20 2025: Northwestern University informal geometric analysis seminar
Oct 21 2025: University of Maryland geometric analysis seminar
