Nicholas McCleerey
Department of Mathematics, College of Science
Purdue University, West Lafayette
150 N University St
West Lafayette, IN 47907
Email: nmccleer at purdue.edu
Office: 748, Mathematical Sciences Building
I am an Assistant Professor at Purdue University, West Lafayette.
Before that, I was a postdoc at the University of Michigan, Ann Arbor, working with Mattias Jonsson. I did my graduate studies at Northwestern University, working under the supervision of Valentino Tosatti.
I study complex geometry.
This year, I am co-organizing the Geometry and Geometric Analysis Seminar at Purdue, with Lvzhou Chen. If you are interested in speaking, feel free to contact me.
I am a mentor for the Math Alliance. Feel free to reach out!
Publications and Preprints
- (with R. Andreasson, J. Hultgren, M. Jonsson, E. Mazzon) Regularity of the solution to a real Monge--Ampere equation on the boundary of a simplex
arXiv: 2403.01620, 2024
- (with J. Chu, Y. Liu) The Eigenvalue Problem for the Complex Hessian Operator on m-Pseudoconvex Manifolds
arXiv: 2402.03098, 2024
- (with M. Jonsson, N. Patram, B. Scott) Singularities of the solution to a Monge-Ampere equation on the boundary of the 3-simplex
arXiv: 2309.15263, 2023
- (with M. Jonsson, S. Shivaprasad) Geodesic Rays in the Donaldson-Uhlenbeck-Yau Theorem
arXiv: 2210.09246, 2022
- (with J. Hultgren, M. Jonsson, E. Mazzon) Tropical and Non-Archimedean Monge-Ampere Equations for a Class of Calabi-Yau Hypersurfaces
to appear in Advances in Mathematics; arXiv: 2208.13697, 2022
- (with J. Chu) Lelong Numbers of m-Subharmonic Functions Along Submanifolds
to appear in Journal of the Institute of Mathematics of Jussieu; arXiv: 2204.01963, 2022
- Plurisupported Currents on Compact Kahler Manifolds
to appear in Indiana University Math Journal; arXiv:2106.12017, 2021
- (with J. Chu) Fully Non-Linear Degenerate Elliptic Equations in Complex Geometry
Journal of Functional Analysis (2021); arXiv:2010.03431
- Volume of Perturbations of Pseudoeffective Classes
Pure and Applied Mathematics Quarterly (2018); arXiv:1905.02858
- (with J. Chu) C1,1 regularity of geodesics of singular Kähler metrics
Journal of the London Mathematical Society (2021); arXiv:1901.02105
- Envelopes with Prescribed Singularities
The Journal of Geometric Analysis (2019); arXiv:1807.05817
- (with V. Tosatti) Pluricomplex Green's functions and Fano manfiolds
Épijournal de Géométrie Algébrique (2019); arXiv:1807.05808
- (with J. Xiao) Polar Transform and Local Positivity for Curves
Ann. Fac. Sci. Toulouse Math (2020); arXiv:1707.06349
Teaching
- Spring 2024
- Math 366 - 061,071: Ordinary Differential Equations
- Winter 2023
- Math 590 - 001: Introduction to Topology
- Fall 2022
- Math 116 - 031: Calculus II
- Math 285 - 002,102: Honors Multivariable & Vector Calculus
- Winter 2022
- Math 214 - 001: Applied Linear Algebra
- Fall 2021
- Math 116 - 035,057: Calculus II
- Winter 2021
- Math 214 - 006: Applied Linear Algebra
- Fall 2020
- Math 116 - 031,041: Calculus II
- Fall 2018
- (TA) Math 285: Accelerated Mathematics for MMSS: First Year
- Fall 2017
- (TA) Math 320 - 1,2: Real Analysis
- Fall 2016
- (TA) Math 230: Differential Calculus of Multivariable Functions
- (TA) Math 320 - 1: Real Analysis