
About
Nicholas James McCleerey serves as an Assistant Professor in the Department of Mathematics at Purdue University's College of Science, specializing in complex geometry and nonlinear partial differential equations arising in geometric analysis.
His academic background includes a Ph.D. from Northwestern University under Valentino Tosatti and postdoctoral research at the University of Michigan with Mattias Jonsson.
McCleerey's research spans complex geometry, differential geometry, and algebraic geometry, with emphasis on Monge-Ampere equations, complex Hessian operators, and geodesic rays. He investigates singularities, tropical geometry, and Calabi-Yau manifolds using pluripotential theory and non-Archimedean methods.
Analysis of his 14 publications (2018-2024) reveals concentrated work on singular solutions to Monge-Ampere equations in complex and real settings, eigenvalue problems for complex Hessian operators, and connections between tropical geometry and Calabi-Yau hypersurfaces, demonstrating evolving methodological sophistication.
McCleerey actively mentors through the Math Alliance and supervises the Purdue Experimental Math Lab (PXML) project on numerical computation of Monge-Ampere eigenvalues. He co-organizes Purdue's Geometry and Geometric Analysis Seminar with Lvzhou Chen, fostering collaborative research in geometric analysis.
His teaching portfolio includes undergraduate courses in Ordinary Differential Equations, Calculus, Linear Algebra, and Topology, reflecting strong commitment to mathematical education across foundational and advanced levels.
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