Logan Crew

Department of Combinatorics & Optimization

University of Waterloo

200 University Avenue West

Waterloo, ON, N2L 3G1

Canada

Email: lcrew@uwaterloo.ca

I am a Research Assistant Professor at the University of Waterloo. My research is in algebraic combinatorics with a focus on the theory of symmetric functions, particularly the chromatic symmetric function. I earned my PhD from the University of Pennsylvania in 2020; my advisors were Jim Haglund and Greta Panova.

My papers are available on arXiv and on Google Scholar.

Here is a list of pairs of small graphs that have equal chromatic symmetric function, and their characteristics. This list was compiled by myself and Sophie Spirkl with a computer program, using the database of graphs provided by Brendan McKay on his homepage.

My wife Sophie Spirkl is an Assistant Professor in the Department of Combinatorics & Optimization at the University of Waterloo.

Students:

PhD - Josephine Reynes (2021-) [co-supervised with Karen Yeats]

Masters - Evan Haithcock (2021-)

Undergraduate - William Chan (2021)

Papers and preprints:

1. Tree Bases of Chromatic Symmetric Functions with William Chan.

Submitted (2021).

1. A Note on Distinguishing Trees with the Chromatic Symmetric Function.

Published in Discrete Mathematics (2021).

1. Plethysms of Chromatic and Tutte Symmetric Functions with Sophie Spirkl.

Submitted (2021).

1. Modular Relations of the Tutte Symmetric Function with Sophie Spirkl.

Accepted by Journal of Combinatorial Theory, Series A (2021).

1. Branching Rules for Splint Root Systems with Alexandre A. Kirillov and Yao-Rui Yeo.

Published by Journal of Algebras and Representation Theory (2021).

1. A Vertex-Weighted Tutte Symmetric Function, and Constructing Graphs with Equal Chromatic Symmetric Function with José Aliste-Prieto, Sophie Spirkl, and José Zamora.

Published by Electronic Journal of Combinatorics (2021).

1. A Complete Multipartite Basis for the Chromatic Symmetric Function with Sophie Spirkl.

Published by SIAM Journal on Discrete Mathematics (SIDMA) (2021).

1. Disproportionate Division with Bhargav Narayanan and Sophie Spirkl.

Published by Bulletin of the London Mathematical Society (2020).

1. A Deletion-Contraction Relation for the Chromatic Symmetric Function with Sophie Spirkl.

Published by European Journal of Combinatorics (2020).

Talks:

1. Structural Properties of the Chromatic and Tutte Symmetric Functions (Slides Only). University of British Columbia Discrete Math Seminar (2021).

1. Identities of the Chromatic and Tutte Symmetric Functions (Slides Only). Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM, 2021).

1. The Tutte Symmetric Function (Slides Only). University of Waterloo Tutte Colloquium (2020).

1. Edge Deletion-Contraction in the Chromatic and Tutte Symmetric Functions. York University Applied Algebra Seminar (2020). (Slides for 4-6)

1. Edge Deletion-Contraction in the Chromatic and Tutte Symmetric Functions. University of Waterloo Algebraic Combinatorics Seminar (2020).

1. Edge Deletion-Contraction in the Chromatic and Tutte Symmetric Functions. University of Florida Combinatorics Seminar (2020).

1. A Deletion-Contraction Relation for the Chromatic Symmetric Function (and Slides). University of Albany Virtual Discrete Math 2-Day (2020).

1. A Deletion-Contraction Relation for the Chromatic Symmetric Function (Slides Only). Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM, 2019).

Teaching:

Spring 2021: CO480 (History of Mathematics)

Winter 2021: MATH228 (Differential Equations for Physics and Chemistry)

Fall 2020: MATH115 (Linear Algebra for Engineering)

Reviewer for:

Mathematical Reviews, Journal of Graph Theory, Advances in Applied Mathematics, and Annals of Combinatorics.

PhD thesis:

Vertex-Weighted Generalizations of Chromatic Symmetric Functions. Advisors: Jim Haglund and Greta Panova (University of Pennsylvania, 2020).

Master's thesis:

The Shuffle Conjecture. Advisor: Jim Haglund (University of Pennsylvania, 2017).

Bachelor's thesis:

On the characterization of the numbers n such that any group of order n has a given property P. Advisor: Thomas Haines (University of Maryland, College Park, 2015).