Rate My Professor Dominic Searles

Searles' research focuses on the interplay between algebra, geometry, and combinatorics, particularly questions of positivity in algebraic combinatorics. His contributions span Schubert polynomials, slide polynomials, Kohnert tableaux, 0-Hecke modules, quasisymmetric functions, and K-theoretic polynomials. Prominent publications include "Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams" with Sami Assaf (Advances in Mathematics, 2017), "Kohnert polynomials" with Sami Assaf (Experimental Mathematics, 2022), "Kohnert tableaux and a lifting of quasi-Schur functions" with Sami Assaf (Journal of Combinatorial Theory, Series A, 2018), "Polynomial bases: positivity and Schur multiplication" (Transactions of the American Mathematical Society, 2020), "Lifting the dual immaculate functions" with Sarah Mason (Journal of Combinatorial Theory, Series A, 2021), "Polynomials from combinatorial K-theory" with Cara Monical and Oliver Pechenik (Canadian Journal of Mathematics, 2021), and "Diagram supermodules for 0-Hecke–Clifford algebras" (Mathematische Zeitschrift, 2025). In 2020, he was awarded $300,000 from the Marsden Fund to extend combinatorial theories of polynomials, addressing geometry and representation theory problems such as the Schubert problem through new bases and structures.