a picture of me

Carlos ESPARZA SÁNCHEZ

Office: 1061 Evans Hall
Email:

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 will be joining the Institute for Mathematics and Fundamental Physics in September 2026.

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

  • 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
  • Sep 24 2025: BIRS Workshop Kähler Geometry: Past, Present and Future
  • Mar 11 2025: Stony Brook differential geometry seminar
  • Feb 24 2025: UC Berkeley differential geometry seminar

    • Teaching

  • Fall 2025: Math 54 (Linear Algebra and Differential Equations) with Dr. Sharma
  • Fall 2024: Math 55 (Discrete Mathematics) with Prof. Srivastava
  • Spring 2024: Math 202B (Introduction to Topology and Analysis) with Prof. Christ
  • 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
  • Fall 2021: Math 53 (Multivariable Calculus) with Prof. Sethian
  • Spring 2021: Math 53 (Multivariable Calculus) with Prof. Stankova
  • Fall 2020: Math 53 (Multivariable Calculus) with Prof. Canic