The study of alternating sign matrices (ASMs) occupies a central position in enumerative combinatorics, linking intricate algebraic methods with models from statistical physics. ASMs are square ...

Eulerian polynomials have long occupied a central role in combinatorics, encapsulating critical information about permutation statistics. In their classical formulation, these polynomials encode the ...

Dr. Levear's primary field of interest is discrete mathematics, specifically enumerative combinatorics. His research often involves encoding complicated mathematical structures into simpler ones such ...