## Bruno Benedetti

##### Associate Professor

*Education:*TU Berlin, 2010

*Research Area:*Geometric Combinatorics

*Office*: Ungar 533

*Tel*: 305.284.8652

Well, discrete, spelt E-T-E, is the opposite of smooth: it means, something that perhaps is not so round and silky, because it has distinguished corners, ridges, facets... If you are thinking of common objects like a cube, or a surface sewn out of triangles, or a pixelated image, you are totally right. Some of these objects even exist in nature!, like this gold crystal found in Venezuela or this domesticated tiger seen in Arizona.

Objects of this type in mathematics are called polytopal complexes, and provide a general approach to the study of

Since the advent of computers, discrete geometry has grown well beyond pure mathematics. Simple questions on the structure of polytopes, such as the Hirsch conjecture, have foundational importance in convex

The study of polytopal complexes of dimension one is extremely useful and fascinating, to the point that it forms a subject by itself, called

My research is currently supported by NSF. If you want to know more on this stuff, come to our U Miami Combinatorics seminar! It usually takes place on Mondays.

(See the publications for more, or return to main.)