Positive scalar curvature and exotic structures on simply connected four manifolds,
[ pdf | arxiv | journal ] with Balarka Sen,
preprint (2025).
Circle bundles with PSC over large manifolds,
[ pdf | arxiv | journal ] with Balarka Sen,
Geom. Funct. Anal. to appear (2025).
The first Steklov eigenvalue on manifolds with nonnegative Ricci curvature and convex boundary,
[ pdf | arxiv | journal ] with Jonah Duncan,
J. Geom. Anal. vol. 35, no. 95 (2025).
Convergence of interfaces in boundary reactions,
[ pdf | arxiv | journal ]
Calc. Var. Partial Differential Equations vol. 64, no. 194 (2025).
Aug 2025 : Cornell University Analysis seminar
Apr 2025 : Caltech Geometry and Topology seminar
Apr 2025 : NYU Courant Geometric Analysis and Topology seminar
Feb 2025 : Stony Brook Symplectic Geometry and Gauge Theory seminar
Feb 2025 : University of Chicago Geometric Analysis seminar
Feb 2025 : University of Maryland Geometry and Topology seminar
Jan 2025 : Johns Hopkins Analysis and PDE seminar
Jan 2025 : University of Copenhagen Geometry seminar
Email : akumar65 at umd dot edu
CV : [ pdf ]