معرفی
Logan Crew is an Assistant Professor in the Department of Combinatorics & Optimization at the University of Waterloo. His research focuses on algebraic combinatorics, particularly applications of algebra to graph theory, including the chromatic symmetric function and its generalizations. He holds a PhD from the University of Pennsylvania (2020), with advisors Jim Haglund and Greta Panova, and has conducted postdoctoral work with Sophie Spirkl, also at Waterloo.
Education:
- PhD in Mathematics, University of Pennsylvania (2020)
- Master's Thesis: 'The Shuffle Conjecture' (University of Pennsylvania, 2017)
- Bachelor's Thesis: 'On the characterization of group orders with specific properties' (University of Maryland, 2015)
Research Interests:
Dr. Crew explores algebraic structures in graph theory, including chromatic symmetric functions, Tutte symmetric functions, and their applications in graph polynomial construction and combinatorial topology. His work often involves symmetric function theory, algebraic graph invariants, and computational methods for graph analysis. Key themes include graph isomorphism detection, modular relations, and deletion-contraction operations.
Teaching & Collaboration:
Recent courses include MATH239 (Combinatorics), CO480 (History of Mathematics), and MATH119 (Calculus for Engineering). He co-supervises multiple graduate and undergraduate students, emphasizing collaborative research. His work frequently intersects with colleagues like Sophie Spirkl, Oliver Pechenik, and others in graph theory and algebraic combinatorics.
Contributions:
Dr. Crew's research has been supported by institutions like the Simons Foundation. He actively reviews for journals such as Mathematical Reviews and Advances in Mathematics, and regularly presents at conferences like FPSAC and CanaDAM. His preprints explore K-theoretic analogues (Kromatic functions) and vertex-weighted generalizations of symmetric functions.
