Contact information

Michael Slone mslone@ms.uky.edu
Digital Library Services
110 Margaret I. King Library
Lexington, KY 40506-0027
(859) 257-1218

Research interests

I study combinatorics, particularly aspects of combinatorics with connections to algebra and discrete geometry. Under the direction of Richard Ehrenborg, I wrote and defended a dissertation largely on the cd-index, an invariant which was originally defined as a way to encode the structure of a polytope as efficiently as possible. This compact representation has allowed the cd-index to act as a proxy for complicated geometric and poset-theoretical objects, simplifying many calculations. More recently I have become interested in combinatorial matrix theory and relations between graph theory and numerical analysis.

Publications

In preparation

Talks

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