Ali Alilooee
Bradley UniversityDepartment of Mathematics and Statistics
468 Bradely Hall
Peoria, IL
USA
email: aalilooee@fsmail.bradley.edu

Publications

On the resolution of path ideals of cycles (with S. Faridi). Communications in Algebra, Volume 43, Issue 12 (2015), 5413(20 pages).

When is a squarefree monomial ideal of linear type? (with S. Faridi). Commutative Algebra and Noncommutative Algebraic Geometry II, MSRI Publications, Volume 68 (2015), 1(18 pages).

Graded Betti numbers of path ideals of cycles and lines (with S. Faridi). Journal of Algebra and Its Applications, Volume 16, No. 11 (2018), .

Powers of edge ideals of regularity three bipartite graphs (with A. Banerjee). Journal of Commutative Algebra, Volume 9, Number 4 (Winter 2017).

Generalized multiplicities of edge ideals (with I. Soprunov and J. Validashti). Journal of Algebraic Combinatorics, Volume 47, Issue 3, (May 2018).

Regularity of powers of unicyclic graphs (with S. Beyarslan and S. Selvaraja). To appear in Rocky Mountain Journal of Mathematics, 2019.

Packing property of cubic squarefree monomial ideals. (with A. Banerjee). In progress.


This semester (Fall 2018) at Bradley University I am teaching the following courses:
MATH 122, Calculus II
MATH 109, College Algebra I

Previous courses that I have taught at UWStout
MSCS 280, Graph Theory with Applications in Computer Science
MATH 153, Calculus I
MATH 118, Concepts of Mathematics
MATH 250, Differential Equations With Linear Algebra
MATH 151, Calculus with Precalculus II
MATH 150, Calculus with Precalculus I
MATH 120, Introductory College Mathematics I
MATH 121, Introductory College Mathematics II

Previous courses that I have taught at Western Illinois University
MATH 100, College Algebra
MATH 128, PreCalculus Algebra
MATH 137, Applied Calculus I

Courses I have taught in Canada:
Engineering Math II, Dalhousie University, Summer 2014
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.