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 ...

At first pass, it may seem odd for a computer science professor to pen a book about mathematical topics. But a chat with Ömer Eğecioğlu quickly dispels the notion that the fields are that different, ...

At first pass, it may seem odd for a computer science professor to pen a book about mathematical topics. But a chat with Ömer Eğecioğlu quickly dispels the notion that the fields are that different, ...

We investigate the combinatorial properties of the traces of the nth Hecke operators on the spaces of weight 2k cusp forms of level N. We establish examples in which these traces are expressed in ...

I am a professor in mathematics at Simon Fraser University. My main research interests lie in analytic and enumerative combinatorics. I strive to find algorithmic, and systematic solutions to problems ...

Combinatorial mathematics, or combinatorics for short, is the study of structures consisting of a finite number of objects. It mainly has three forms: enumerative (counting the number of structures of ...