I am a fifth-year graduate student in Mathematics at UC Berkeley. I study Kähler geometry, specifically shrinking Kähler–Ricci solitons. 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).
Preprints
C. Esparza. "Uniqueness of asymptotically conical shrinking gradient Kähler–Ricci solitons." 2025. arXiv:2502.13521
C. Esparza. "Shrinking gradient Kähler–Ricci solitons are simply-connected" 2025. arXiv:2503.05838 (a short note)
Teaching
Fall 2024: Math 55 (Discrete Mathematics) with Prof. Srivastava
Spring 2024: Math 202B (Introduction to Topology and Analysis)
Fall 2023: Math 104 (Introduction to Analysis)
Fall 2022: Math 54 (Linear Algebra and Differential Equations) with Prof. Serganova
Spring 2022: Math 54 (Linear Algebra and Differential Equations) with Prof. Paulin
