Aleksander Doan

Department of Mathematics, Stony Brook University
Stony Brook, NY 11794-3651, USA
office: Math Tower 2-106
email: aleksander dot doan at stonybrook dot edu


I am a third year PhD student at the State University of New York in Stony Brook, working under the supervision of Simon Donaldson. My research focuses on mathematical gauge theory and Riemannian manifolds with special holonomy. Here is my CV.



Research

Deformation theory of the blown-up Seiberg-Witten equation in dimension three (with Thomas Walpuski)
arxiv:1704.02954 (2017)

Seiberg-Witten monopoles with multiple spinors on a surface times a circle
arxiv:1701.07942 (2017)

Adiabatic limits and Kazdan-Warner equations
arxiv:1701.07931 (2017)



Other

Udegraduate projects:
Symplectic cohomology for stable fillings
Part III essay on symplectic fillability
Critical points of one-dimensional Gaussian mixtures
Bachelor's thesis on the Picard-Lefschetz theorem (in Polish)


Memoirs from Banach Street

Some of my photos