Martha Yip
Associate Professor of Mathematics

University of Kentucky
Department of Mathematics
Lexington, KY, 40506-0027

Office: POT 775
Email: mpyi222 [at sign] uky.edu

I am interested in algebraic combinatorics, particularly in connection with the theory of symmetric functions, combinatorial representation theory, and the combinatorial aspects of lattice polytopes and their subdivisions.

Publications & Preprints

a parking function poset

Permutations Flows I

with R.S. González D'León, C.R.H. Hanusa

preprint at https://arxiv.org/abs/2512.04078

an oruga lattice

Realizing the s-permutahedron via flow polytopes

with R.S. González D'León, A.H. Morales, E. Phillipe, D. Tamayo Jiménez

Transactions of the AMS (2025)

preprint at arxiv.org/abs/2307.03474

tau tilting modules on zigzag quiver

Triangulations of flow polytopes, ample framings, and gentle algebras

with M. von Bell, B. Braun, K. Bruegge, D. Hanely, Z. Peterson, K. Serhiyenko

Selecta (2024)

preprint at arxiv.org/abs/2203.01896

nu-Dyck path and a nu-tree

A unifying framework for the ν-Tamari lattice and principal order ideals in Young's lattice

with M. von Bell, R.S. González D'León, F. Mayorga Cetina

Combinatorica (2023)

preprint at arxiv.org/abs/2101.10425

tubings for UIJ

On the subdivision algebra for the polytope UI,J

with Matias von Bell

Annals of Combinatorics (2023)

preprint at arxiv.org/abs/2205.10594

working at ICERM

Column-convex matrices, G-cyclic orders, and flow polytopes

with R.S. González D'León, C.R.H. Hanusa, A.H. Morales

Discrete & Computational Geometry (2023)

preprint at arxiv.org/abs/2107.07326

working at ICERM

On the strength of chromatic symmetric homology for graphs

with A. Chandler, R. Sazdanovic, S. Stella

Advances in Applied Mathematics (2023)

preprint at arxiv.org/abs/1911.13297

a snake poset and its relatives

Triangulations, order polytopes, and generalized snake posets

with M. von Bell, B. Braun, D. Hanely, K. Serhiyenko, J. Vega, A. Vindas-Meléndez

Combinatorial Theory (2022)

preprint at arxiv.org/abs/2102.11306

a Schroeder path

Schroder combinatorics and ν-associahedra

with M. von Bell

European Journal of Combinatorics (2021)

preprint at arxiv.org/abs/2006.09804

a newton polytope

Lattice polytopes from Schur and Grothendieck polynomials

with M. Bayer, B. Goeckner, S. J. Hong, T. McAllister, M. Olsen, C. Pinckney, J. Vega

Electron. J. Combin. (2021)

preprint at arxiv.org/abs/2005.09628

A Fuss-Catalan variation of the caracol flow polytope

preprint at arxiv.org/abs/1910.10060

a unified diagram

A combinatorial model for computing volumes of flow polytopes

with C. Benedetti, R. González D'León, C.R.H. Hanusa, P.E. Harris, A. Khare, A.H. Morales

Trans. Amer. Math. Soc. (2019)

preprint at arxiv.org/abs/1801.07684

bijection for minimaj crystal

A minimaj-preserving crystal on ordered multiset partitions

with G. Benkart, L. Colmenarejo, P.E. Harris, R. Orellana, G. Panova, A. Schilling

Adv. Appl. Math. (2018)

preprint at arxiv.org/abs/1707.08709

modified young's lattice with weight edges

Rook placements and Jordan forms of upper-triangular nilpotent matrices

Electron. J. Combin. (2018)

preprint at arxiv.org/abs/1703.00057

homology

A categorification of the chromatic symmetric function

with R. Sazdanovic

J. Combin. Theory Ser. A (2018)

preprint at arxiv.org/abs/1506.03133

A Littlewood-Richardson rule for Macdonald polynomials

Math Zeitschrift (2012)

preprint at arxiv.org/abs/1010.0722

A combinatorial formula for Macdonald polynomials

with A. Ram

Advances in Mathematics (2011)

preprint at arxiv.org/abs/0803.1146


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