Ilyas Khan

About

I am an NSF Postdoctoral Research Fellow at Duke University, supervised by Robert Bryant.

Research interests

Geometric Analysis, Geometric Flows

Publications & Preprints

  1. M. Haskins, I. Khan, A. Payne, "Uniqueness of Asymptotically Conical Gradient Shrinking G_2 Laplacian Solitons", Preprint (2022). arXiv:2210.07954
  2. S. Angenent, I. Khan, C. Olson, Y. Zhang, "Nonconvex ancient solutions to Curve Shortening Flow", Transactions of the American Mathematical Society 376 (2023), 8383-8409 arXiv version
  3. I. Khan, "The Structure of Translating Surfaces with Finite Total Curvature", Calculus of Variations and Partial Differential Equations 62 (2023), article number 104 arXiv version
  4. I. Khan, "Uniqueness of Asymptotically Conical Higher Codimension Self-Shrinkers and Self-Expanders", Journal für die Reine und Angewandte Mathematik (Crelles Journal) 805 (2023), 55-99 arXiv version
  5. C. Gan, B. Hu, I. Khan, "Dyadic decomposition of convex domains of finite type and applications", Mathematische Zeitschrift 301 (2022), no. 2, 1939-1962 arXiv version

Contact

Email: First name dot surname at duke dot edu.
Address: Department of Mathematics, Duke University, 120 Science Dr, Durham, NC 27710