Josephine Reynes

Dr. Josephine Reynes is an assistant professor of mathematics whose research lies in the area of algebraic graph theory, with a particular focus on polynomial graph theory. She studies polynomials associated with graphs, including the characteristic and Tutte polynomials, and extends these ideas to the study of hypergraphs. Dr. Reynes earned her bachelor’s and master’s degrees in pure mathematics from Texas State University and completed her Ph.D. in combinatorics and optimization at the University of Waterloo.

At Norwich University, Dr. Reynes teaches courses in discrete mathematics, linear algebra, number theory, cryptology, and operations research. She credits an undergraduate course in linear algebra for sparking her passion for mathematical research, and now seeks to share with her students the beauty and power of mathematics.

Dr. Reynes is deeply committed to mathematics outreach and student engagement. She currently mentors students preparing for the William Lowell Putnam Mathematical Competition, and has a longstanding dedication to supporting undergraduate and high school students in research. Her outreach experience includes leading research programs and contributing to math camps designed to inspire young scholars to explore mathematics. At Norwich, Dr. Reynes hopes to contribute to the friendly and engaging culture of the math department through event organization and outreach. Sharing the field of mathematics with others is among Dr. Reynes’s greatest motivations.

Ph.D. Combinatorics and Optimization, University of Waterloo
M.S. Mathematics, Texas State University
B.S. Mathematics, Texas State University

MA240 Introduction to Number Theory and Cryptology
MA306 Discrete Mathematics
MA310 Linear Algebra
MA318 Cryptology
MA370 Operations Research

Logan Crew, Evan Haithcock, Josephine Reynes, and Sophie Spirkl. “Homogeneous sets in
graphs and a chromatic multisymmetric function”. In: Advances in Applied Mathematics
158 (July 1, 2024), p. 102718. issn: 0196-8858. doi: 10.1016/j.aam.2024.102718. 

Will Grilliette, Josephine Reynes, and Lucas J. Rusnak. “Incidence Hypergraphs: Injectivity,
Uniformity, and Matrix-tree Theorems”. In: Linear Algebra and its Applications 634 (Feb. 2022),
pp. 77–105. issn: 00243795. doi: 10.1016/j.laa.2021.10.023. arXiv: 1910.02305 [math].

Lucas J. Rusnak, Josephine Reynes, Russell Li, Eric Yan, and Justin Yu. “The Determi-
nant of {±1}-Matrices and Oriented Hypergraphs”. In: Linear Algebra and its Applications
(Aug. 20, 2024). issn: 0024-3795. doi: 10.1016/j.laa.2024.08.013.