SCHOOL OF SCIENCE
PENN STATE BEHREND
1 PRISCHAK BUILDING
4205 COLLEGE DRIVE
ERIE PA 16563
Biography
I am interested in geometric combinatorics, particularly the study of integral point enumeration in lattice polytopes, their triangulations, and connections to Gröbner bases. I am also dedicated to mathematics education, rehumanizing mathematics, and exposing students to real-world experiences outside of the classroom.
Research Interests
Algebraic Combinatorics
Geometric Combinatorics
Properties of Lattice Polytopes
Scholarship of Teaching & Learning
Publications
The College Mathematics Beliefs and Belonging Survey: Instrument Development and Validation, International Journal of Research in Undergraduate Mathematics Education - August 13, 2024
Collaborators: Pooja Sydney, Corresponding Author; Benjamin Braun, Secondary Author; Cindy Jong, Co-Author; Matthew Kim, Co-Author; Kaitlyn Brown, Student Author; Julianne Vega, Co-Editor; Jack Schmidt, Co-Editor; Julie Shirah, Co-Editor; Chloe Wawrzyniak, Co-Editor; Johné Parker, Co-Editor
The Integer Decomposition Property and Weighted Projective Space Simplices, INTEGERS - June 19, 2024
Collaborators: Benjamin Braun, Co-Author; Robert Davis, Co-Author; Morgan Lane, Co-Author; Liam Solus, Co-Author
Triangulations of Flow Polytopes, Ample Framings, and Gentle Algebras, Selecta Mathematica - June 3, 2024
Collaborators: Matias von Bell, Co-Author; Benjamin Braun, Co-Author; Kaitlin Bruegge, Co-Author; Zachery Peterson, Co-Author; Khrystyna Serhiyenko, Co-Author; Martha Yip, Co-Author
Ehrhart Theory of Paving and Panhandle Matroids, Advances in Geometry - October 14, 2023
Collaborators: Jeremy Martin, Co-Author; Daniel McGinnis; Dane Miyata; George Nasr; Andrés Vindas-Meléndez, Co-Author; Mei Yin, Co-Author
Triangulations, Order Polytopes, and Generalized Snake Posets, Combinatorial Theory - October 15, 2022
Collaborators: Matias von Bell, Co-Author; Benjamin Braun, Co-Author; Khrystyna Serhiyenko, Co-Author; Julianne Vega, Co-Author; Andrés Vindas-Meléndez, Co-Author; Martha Yip, Co-Author
Regular Unimodular Triangulations of Reflexive IDP 2-Supported Weighted Projective Space Simplices, Annals of Combinatorics - September 28, 2021
Collaborator: Benjamin Braun, Co-Author
Education
PhD, Mathematics, The University of Kentucky
MA, Mathematics, The University of Kentucky
MS, Applied Mathematics, Indiana University of Pennsylvania
BA, Economics, Indiana University of Pennsylvania
BS, Mathematics, Indiana University of Pennsylvania