Nicholas McCleerey

Nicholas McCleerey is an Assistant Professor in the Department of Mathematics at Purdue University, College of Science. He specializes in complex geometry, pluripotential theory, and Monge-Ampère equations. His research addresses singularities, geometric analysis, and non-Archimedean geometry.

Education: Ph.D. in Mathematics (2020) from Northwestern University, supervised by Valentino Tosatti; B.Sc. in Mathematics (2015) from Rice University. His postdoctoral work was at the University of Michigan, Ann Arbor, under Mattias Jonsson.

Research focuses on Kähler geometry, m-subharmonic functions, and the interplay between tropical and non-Archimedean geometry. Key topics include Monge-Ampère equations on Calabi-Yau manifolds, regularity theory, and geometric singularities. Recent work explores eigenvalue problems for complex Hessian operators and boundary regularity in real Monge-Ampère equations.

Publications span advanced topics like plurisupported currents, Lelong numbers, and geometric envelopes, appearing in journals such as Advances in Mathematics, Journal of the Institute of Mathematics of Jussieu, and Indiana University Math Journal. His 2024 IMRN paper on simplex boundary regularity exemplifies his focus on geometric PDEs.

Awards: 2020 Best Thesis Award from Northwestern University. He co-organizes Purdue’s Geometry and Geometric Analysis Seminar and mentors the Math Alliance. Teaching includes differential equations, topology, and calculus courses at Purdue and the University of Michigan.

Labs/Teams: Leads the Purdue Experimental Math Lab (undergraduate research in Monge-Ampère eigenvalues) and mentored an REU program on planar Monge-Ampère singularities. Active in seminars and conferences globally, including at Columbia, Stony Brook, and Tsinghua University.