Amanda Welch

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.

• CSM 3770: Combinatorial Computing
• MAT 1170: Problem Solving
• MAT 1160: Mathematics: A Human Endeavor
• MAT 2880: Foundations of Mathematics
• MAT 2550: Introduction to Linear Algebra
• MAT 1441: Calculus 1
• MAT 2442: Calculus 2

• EIU DFW Collaborative Redesign Initiative Grant for MAT 1160: Mathematics: A Human Endeavor
• EIU FDIC Professional Development Grant, Fall 2023
• EIU Summer Research/Creative Activity Award, Summer 2023
• EIU Redden Grant for Support in Purchasing Online Material for Calc 2, Summer 2023
• AWM Mathematical Endeavors Revitalization Program (MERP) award, March 29, 2023
• Collaborate@ICERM workshop funding for travel and board, January 9 – 13, 2023
• ICERM fellowship for participating in "Research Community in Algebraic Combinatorics" program Aug 2021 – Feb 2022

• Association for Women in Mathematics (AWM)
• Illinois Council for Teachers of Mathematics (ICTM)
• Kappa Mu Epsilon Math Honors Society (KME)
• American Mathematical Society (AMS)