Matthew Willis
Matthew Willis
Associate Professor, Mathematics
Georgetown Campus
Office 38, Suite 172, Jason Technology Center
Education
Ph.D., University of North Carolina at Chapel Hill
B.S., The College of New Jersey
Courses Taught
I am eligible to teach all math courses offered by the AAP. To date, I have taught Math 114, 115, 201, 242 and 243.
Prior Appointments
University of North Carolina
Hampden-Sydney College
Connecticut College
Wesleyan University
Publications
- Parabolic Catalan numbers count flagged Schur functions and their appearances as type A Demazure characters (key polynomials), 2017
- Convexity of tableau sets for type A Demazure characters (key polynomials), parabolic Catalan numbers, 2018
- Row bounds needed to justifiably express flagged Schur functions with Gessel-Viennot determinants, 2019
- Parabolic Catalan numbers count flagged Schur functions; Convexity of tableau sets for Demazure characters, 2017
- Convexity of tableau sets for type A Demazure characters (key polynomials), parabolic Catalan numbers, 2018
- Row bounds needed to justifiably express flagged Schur functions with Gessel-Viennot determinants, 2019
- Parabolic Catalan numbers count flagged Schur functions; Convexity of tableau sets for Demazure characters, 2017
- Relating the type A alcove path model to the right key of a semistandard Young tableau, with Demazure character consequences, 2015
- New descriptions of Demazure tableaux and right keys, with applications to convexity, 2014
- Semistandard tableaux for Demazure characters (key polynomials) and their atoms, 2017
- A direct way to find the right key of a semistandard young tableau, 2011