Carlos ESPARZA SÁNCHEZ

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. 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.

In 2027 I will move to Stony Brook.

Preprints

C. Esparza, J. Zhang. "A Matsushima theorem, uniqueness, and K-polystability for Kähler–Ricci shrinkers" 2026. arXiv:2610.03592

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. To appear 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

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