My name is Alec Payne, and I am a Phillip Griffiths Assistant Research Professor of mathematics at Duke University.

I am interested in differential geometry and geometric analysis, especially geometric flows, special holonomy, and classical differential geometry. 

Education

• PhD, Mathematics, Courant Institute, New York University, 2016 - 2021 (Advisor: Bruce Kleiner).

• BA, Mathematics, Princeton University, 2012 - 2016.

Preprints and Publications

1. A. Payne. Closed G2-Structures with Negative Ricci Curvature, [arXiv], 2023.

2. M. Haskins, I. Khan, and A. Payne. Uniqueness of Asymptotically Conical Gradient Shrinking Solitons in G2-Laplacian Flow, [arXiv], 2022.

3. A. Mramor and A. Payne. Ancient and Eternal Solutions to Mean Curvature Flow from Minimal Surfaces, Math. Ann., 380 (2021), no. 1, 569-591, [article] [arXiv].

4. A. Payne. Mass Drop and Multiplicity in Mean Curvature Flow, [arXiv], 2020.

5. A. Mramor and A. Payne. Nonconvex Surfaces which Flow to Round Points, to appear in Commun. Anal. Geom., [arXiv], 2019.

6. B. Allen, L. Hernandez-Vazquez, D. Parise, A. Payne, and S. Wang. Warped Tori with Almost Non-Negative Scalar Curvature, Geom. Dedicata, 200 (2019), no.1, 153-171, [article] [arXiv].

Contact

Email: alec.payne@duke.edu
Department of Mathematics, Duke University
120 Science Drive, Room 029B
Durham, NC 27701, USA