RESEARCH INTERESTS
I am interested in enumerative and algebraic combinatorics. I am currently studying combinatorial Hopf algebras, quasisymetric functions, noncommutative symmetric functions, chromatic symmetric functions, parking functions, and q,t-catalan numbers.
In the fall, I will be a Burnett Meyer Postdoctoral Fellow under the supervision of Nat Thiem at the University of Colorado Boulder. I completed my PhD at North Carolina State University in 2024, advised by Laura Colmenarejo (NCSU) and Sarah Mason (WFU).
PUBLICATIONS AND PREPRINTS
Schur-like bases and their colored generalizations. S. Daugherty. 2024. Doctoral thesis.
Extended Schur functions and bases related by involutions. S. Daugherty. arXiv:2401.02502. 2024. Extended abstract to appear in the proceedings of FPSAC 2024.
Combinatorics of generalized parking function polytopes. M. Bayer, S. Borgwardt, T. Chambers, S. Daugherty, A. Dawkins, D. Deligeorgaki, H. Liao, T. McAllister, A. Morrison, G. Nelson, A. Vindas-Meléndez. arXiv:2403.07387. 2024.
A partially commutative generalization of the dual immaculate basis. S. Daugherty. arXiv:2309.08518. 2024. Electronic Journal of Combinatorics.
Nimber sequences of node-kayles games. S. Brown, E. Fiorini, B. Maldonado, S. Rainville, R. Waechter, T. Wong. pdf. 2020. Online Journal of Integer Sequences.
OEIS Sequences: A316533, A316629, A316632, A316781. 2018.
TEACHING
Instructor of record: MA341 Applied Differential Equations I, MA 232 Calculus III for Engineers, MA114 Introduction to finite mathematics with applications, MA231 Calculus for life and management sciences.
Teaching assistant: MA141 Calculus I, MA241 Calculus II.
EDUCATION & EXPERIENCE
Burnett Meyer Postdoctoral Fellow at University of Colorado Boulder. Starting August 2024.
PhD in Mathematics from North Carolina State University. May 2024.
B.A. in Mathematics from Mount Holyoke College. May 2019.