JOB TITLE: NSF Postdoctoral Scholar & Unit 18 Lecturer
RESEARCH AREAS: Geometry/Topology, Mathematical Analysis
Email: ecc@math.berkeley.edu
Curriculum vitae: PDF (PDF file)
Papers:
- Degree theory for 4-dimensional asymptotically conical gradient expanding solitons (with Richard Bamler). arXiv(link is external)
- The Neumann problem on the Clifford torus in S3 (with Jeffrey S. Case(link is external), Yi Wang(link is external), Paul Yang(link is external), and Po-Lam Yung(link is external)). To appear in Adv. Nonlinear Stud. arXiv(link is external)
- The Yamabe flow on asymptotically Euclidean manifolds with nonpositive Yamabe constant (with Gilles Carron(link is external) and Yi Wang(link is external)). J. Funct. Anal. 284 (2023), no. 6, 26 pp. DOI(link is external) arXiv(link is external)
- Ricci flow and Gromov almost flat manifolds (with Guofang Wei(link is external) and Rugang Ye(link is external)). arXiv(link is external)
- Some aspects of Ricci flow on the 4-sphere (with Sun-Yung Alice Chang(link is external)). N. Z. J. Math. 52 (2021), 381–402, Vaughan Jones Memorial Special Issue. DOI(link is external) arXiv(link is external)
- Small curvature concentration and Ricci flow smoothing (with Pak-Yeung Chan(link is external) and Man-Chun Lee(link is external)). J. Funct. Anal. 282 (2022), no. 10, 29 pp. DOI(link is external) arXiv(link is external)
- The Yamabe flow on asymptotically flat manifolds (with Yi Wang(link is external)). J. Reine Angew. Math. (Crelle's Journal) (2023). DOI(link is external) arXiv(link is external)
- Ricci flow and a sphere theorem for Ln/2-pinched Yamabe metrics (with Guofang Wei(link is external) and Rugang Ye(link is external)). Adv. Math. 393 (2021), 14 pp. DOI(link is external)
- 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(link is external) arXiv(link is external)
- Partial regularity for the steady hyperdissipative fractional Navier-Stokes equations. Commun. Math. Phys. 381 (2021), 1-31. DOI(link is external) arXiv(link is external)
- Tripod configurations of curves (with Nicholas Lourie). J. Geom. Phys. 89 (2015), 1-16. DOI(link is external) arXiv(link is external)
- The splitting subspace conjecture (with Dennis Tseng(link is external)). Finite Fields Appl. 24 (2013), 15-28. DOI(link is external) arXiv(link is external)
