Higher Resonance Varieties (08rit129)


(University of Western Ontario)

(Iowa State University)


This research is in an area of mathematics between algebraic
combinatorics and commutative algebra. The main theme is an
interchange of ideas and techniques: traditional core subjects
(algebraic topology and geometry) have deep and sometimes
surprising applications to discrete (combinatorial) mathematics
of the sort that frequently arises in computer science.
Reciprocally, combinatorial methods can sometimes be used to
construct very concrete "test" objects for use in the investigation
of otherwise abstract conceptual landscapes.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnologí­a (CONACYT).