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Ali Alilooee

Bradley University
Department of Mathematics and Statistics
468 Bradely Hall
Peoria, IL
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My primary field of research is commutative algebra. I am especially interested in problems in commutative algebra which can be translated into the language of combinatorics or algebraic geometry.

One of the most useful techniques applied to connect commutative algebra to combinatorics is assigning a squarefree monomial ideal to a graph or a simplicial complex to make a dictionary between their algebraic and combinatorial properties.

A squarefree monomial is a product of distinct variables, in the polynomial ring. A squarefree monomial ideal is an ideal generated by squarefree monomials. The central theme of my research is the study of squarefree monomial ideals from a combinatorial perspective.