Research output per year
Research output per year
Office: 3212 - Old Main
Email: [email protected]
Amanda Welch (she/her/hers) received her PhD in Mathematics from Virginia Tech University in 2019. Her dissertation work was in the field of Algebraic Combinatorics. After Virginia Tech, Amanda was a Visiting Professor at the College of the Holy Cross from Fall 2019 through Spring 2021. In Fall 2021, she began at Eastern Illinois University, where she holds the position of Assistant Professor of Mathematics.
My research interests lie in the fields of Algebra, Combinatorics, Number Theory, and their intersections. Specifically, I study Integer Partitions, which count the number of ways to sum to a fixed non-negative integer n using positive integers, and Dynamical Algebraic Combinatorics, which studies the interaction of mathematical objects and actions to examine such things as homomesy, row motion, and the cyclic sieving phenomenon. A list of selected works is given below and pre-prints for my publications can be found on the math ArXiv.
Both areas of research have potential for student projects. Any interested students should email me at the address listed above for more information.
Algebraic Mathematics, Ph.D., Double Affine Bruhat Order, Virginia Tech University
Award Date: May 1 2019
Algebra, M.S., Characterizing Zero Divisors of Group Rings, Virginia Tech University
Award Date: May 1 2015
Combinatorial Game Theory, B.S., Combinatorial Game Theory and the Game of Greedy Cannibals, Northern Kentucky University
Award Date: May 1 2013
Research output: Working paper › Preprint
Research output: Working paper › Preprint
Research output: Working paper › Preprint
Research output: Working paper › Preprint
Research output: Working paper › Preprint