JOB TITLE: NSF Postdoctoral Scholar & Unit 18 Lecturer
RESEARCH AREAS: Geometry/Topology, Mathematical Analysis
Email: ecc@math.berkeley.edu
Curriculum vitae: PDF
Papers:
- 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 Ln/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
