Spencer Daugherty

Postdoctoral Fellow at University of Colorado Boulder

PUBLICATIONS AND PREPRINTS

Shuffle-compatibility for combinatorial statistics on words, parking functions, and set partitions S. Daugherty, J. Liang. arXiv:2607.14255. 2026.

Lexical tableaux and quasisymmetric functions. J. M. Campbell, S. Daugherty. arXiv:2511.00713. 2025.

Structure and geometry of the tableaux algebra. S. Daugherty, N. González, B. Muniz, P. Ocal, J. Pan, J. Torres. arXiv:2510.27209. 2025.

Dimensions of toggleability spaces. B. Adenbaum, S. Daugherty, N. Mayers. arXiv:2508.14974. 2025. Extended abstract in proceedings of FPSAC 2026.

A Hopf algebra generalization of the symmetric functions in partially commutative variables. S. Daugherty. arXiv:2412.11013. 2024.

Metered parking functions. S. Daugherty, P. E. Harris, I. Klein, M McClinton. arXiv:2406.12941. 2024. INTEGERS.

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. Advances in Applied Mathematics. Extended abstract 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. Discrete & Computationl Geometry

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. 2020. Online Journal of Integer Sequences.

OEIS Sequences: A372816, A372817, A372818, A372819, A372820, A372821, A374738. 2024. A316533, A316629, A316632, A316781. 2018.


RESEARCH TALKS

JMM 2026 Special Session on Symmetric Functions, Hopf Algebras, and Combinatorics: TBD

Oregon State Algebra and Number Theory Seminar: Shuffle-compatibility for words, parking functions, and set partitions

UC Berkeley Combinatorics Seminar: Shuffle-compatibility for words, parking functions, and set partitions

CU Boulder Algebraic Lie Theory Seminar: Shuffle-compatibility for words, parking functions, and set partitions

University of South Carolina Combinatorics Seminar: Dimensions of toggleability spaces

AMS Western Sectional 2025: Properties of the stable Tamari lattice

IAS Research Community Lightning Talk: Shuffle-compatibility for words, parking functions, and set partitions

JMM 2025 AMS Special Session on Research from the Graduate Research Workshop in Combinatorics: Combinatorics of generalized parking function polytopes

JMM 2025 Spectra Special Session: Metered Parking Functions

University of Washington Combinatorics Seminar: Mahonian statistics for the q,t-Catalan numbers

CU Boulder Algebraic Lie Theory Seminar: Mahonian statistics for the q,t-Catalan numbers

AMS Western Sectional Riverside 2024: Metered parking functions

Mount Holyoke College: Metered parking functions

CU Boulder Algebraic Lie Theory Seminar: Colored Schur-like bases and generalizations of the symmetric functions

Michigan State Combinatorics Seminar: Colored Schur-like bases and generalizations of the symmetric functions

UNC Wilmington Seminar: Combinatorics of generalized parking function polytopes

Okinawa Institute of Science and Technology: Colored generalizations of the immaculate and dual immaculate functions

University of Waterloo Seminar: Extended Schur Functions and Bases Related by Involutions

Wake Forest Colloquium: Schur like Bases of NSym and QSym: Properties of the Shin Functions

NC State TAGMaC 2023: Chromatic Symmetric Functions of Trees

CAGE Seminar: Schur-like Bases of NSym and QSym

NC State Pure Graduate Seminar: Combinatorial Statistics and q,t-Catalan Numbers

NC State Pure Graduate Seminar: A partially commutative generalization of the Dual Immaculate Functions


RESEARCH POSTERS

Combinatorics at the Confluence: Shuffle-compatibility for combinatorial statistics on words, parking functions, and set partitions

Great Plains Combinatorics Conference: Shuffle-compatibility for words, parking functions, and set partitions

FPSAC 2024: Extended Schur Functions and Bases Related by Involutions

Mid-Atlantic Algebra, Geometry, and Combinatorics Workshop 2023: Extended Schur Functions and Bases Related by Involutions

AlGeCom XXIII: A partially commutative generalization of the Dual Immaculate Functions

Women in Algebra and Combinatorics: A partially commutative generalization of the Dual Immaculate Functions


ORGANIZING

Algebraic Lie Theory Seminar University of Colorado Boulder.

CU Boulder Summer REU project leader.

JMM 2025 AMS Special Session on Research from the Mathematical Research Community in Algebraic Combinatorics.


WORKSHOPS AND PROGRAMS

IAS Research Community in Algebraic Combinatorics. participant.

Collaborate@ICERM. participant.

Summer School in Algebraic Combinatorics. participant.

AMS MRC in Algebraic Combinatorics. participant.

AlCoVR Workshop in Dynamical Algebraic Combinatorics. participant.

Graduate Research Workshop in Combinatorics 2023. participant.