Hi, I'm

Nutan Nepal

Ph.D. student, Department of Mathematics · North Carolina State University

Advisor: Jacob P. Matherne. Graduation expected May 2027.

I'm interested in Incidence Algebras and Hodge Theory of Matroids. I'm also interested in Lorentzian Polynomials and Kazhdan-Lusztig-Stanley Theory.

Education

North Carolina State University

Raleigh, NC · Aug 2022 — Present

Ph.D. in Mathematics

Ramapo College of New Jersey

Mahwah, NJ · Sep 2017 — May 2020

B.S. in Mathematics, minor in Computer Science

Publications & preprints

2026

Induced Lorentzian and volume polynomials

C. Eur, N. Nepal, and D. Qin.

To appear in Proceedings of the American Mathematical Society.

arXiv:2605.05319
2025

Inverse Kazhdan–Lusztig polynomials of matroids under deletion

T. Braden, L. Ferroni, J. P. Matherne, and N. Nepal.

To appear in Journal of Combinatorial Algebra.

arXiv:2510.01086

Academic activities & presentations

  • (Upcoming) Invited Talk. Special Session on "Algebraic Combinatorics and Polytopes", AMS Fall Southeastern Sectional Meeting, Kennesaw State University — Oct 2026
  • Poster. Inverse Kazhdan-Lusztig Polynomials of Matroids, Algebra, Geometry and Combinatorics (AlGeCom), Purdue University — April 2026
  • Poster. Inverse Kazhdan-Lusztig Polynomials of Matroids, Triangle Lectures in Combinatorics (TLC), Duke University — Nov 2025
  • Poster. Equivariant Chow Polynomials of Matroids, MAAGC, George Washington University — Oct 2024

Conferences & workshops

  • (Upcoming) AxIOM: Machine Learning for Mathematics, Simons Laufer Mathematical Sciences Institute (SLMath) — Mar 2027
  • 2026 Thematic Program: Algebraic Combinatorics and Applications, Center for Mathematics at University of Notre Dame — July 2026
  • Geometry and Polynomial Sampling, American Institute of Mathematics Workshop — Mar 2025
  • Introduction to the Theory of Algebraic Curves, Simons Laufer Mathematical Sciences Institute Summer Graduate School, UC Berkeley — July 2024
  • Triangle Lectures in Combinatorics (TLC), UNC Greensboro — Mar 2024

Teaching

North Carolina State University — Graduate Teaching Assistant, 2022 — Present

Instructor of record

  • Finite Mathematics and Its Applications — Fall 2024

Teaching assistant

  • Calculus II — Fall 2022, Spring 2023, Summer I 2023, Summer II 2023, Fall 2025
  • Calculus III — Fall 2023
  • Applied Differential Equations — Spring 2024, Spring 2025

Other experiences

BTI Solutions — Software Quality Assurance Analyst, Berkeley Heights, NJ — Aug 2020 - July 2021