Eric Chen

Eric Chen

I am an Assistant Professor at the University of Illinois Urbana-Champaign.

I was previously an NSF Postdoctoral Fellow at UC Berkeley and Ky Fan Visiting Assistant Professor at UC Santa Barbara. I received my Ph.D. in 2019 from Princeton University, advised by Sun-Yung Alice Chang.

Emimail: ecchenhrvap@illinois.edu

Curriculum vitae: PDF

Illinois Geometric Analysis Seminar (Fall 2025)

Research interests: Geometric analysis, Geometric flows, Partial differential equations

Papers:

Measuring butterfly velocity in the XY model on emerging quantum computers (with Calum McCartney and Subhayan Roy Moulik). arXiv

Degree theory for 4-dimensional asymptotically conical gradient expanding solitons (with Richard Bamler). arXiv

The Neumann problem on the Clifford torus in S³ (with Jeffrey S. Case, Yi Wang, Paul Yang, and Po-Lam Yung). To appear in Adv. Nonlinear Stud. arXiv

The Yamabe flow on asymptotically Euclidean manifolds with nonpositive Yamabe constant (with Gilles Carron and Yi Wang). J. Funct. Anal. 284 (2023), no. 6, 26 pp. DOI arXiv

Ricci flow and Gromov almost flat manifolds (with Guofang Wei and Rugang Ye). arXiv

Some aspects of Ricci flow on the 4-sphere (with Sun-Yung Alice Chang). N. Z. J. Math. 52 (2021), 381–402, Vaughan Jones Memorial Special Issue. DOI arXiv

Small curvature concentration and Ricci flow smoothing (with Pak-Yeung Chan and Man-Chun Lee). J. Funct. Anal. 282 (2022), no. 10, 29 pp. DOI arXiv

The Yamabe flow on asymptotically flat manifolds (with Yi Wang). J. Reine Angew. Math. (Crelle's Journal) (2023). DOI arXiv

Ricci flow and a sphere theorem for L^n/2-pinched Yamabe metrics (with Guofang Wei and Rugang Ye). Adv. Math. 393 (2021), 14 pp. DOI

Convergence of the Ricci flow on asymptotically flat manifolds with integral curvature pinching. Ann. Sc. Norm. Super. Pisa Cl. Sci. 23 (2022), no. 1, 15–48. DOI arXiv

Partial regularity for the steady hyperdissipative fractional Navier-Stokes equations. Commun. Math. Phys. 381 (2021), 1–31. DOI arXiv

Tripod configurations of curves (with Nicholas Lourie). J. Geom. Phys. 89 (2015), 1–16. DOI arXiv

The splitting subspace conjecture (with Dennis Tseng). Finite Fields Appl. 24 (2013), 15-28. DOI arXiv

Department of Mathematics
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