Ali Alilooee
University of WisconsinStout.Department of Mathematics and Statistics
234E Jarvis HallScience Wing
Menominie, WI
USA
email:[email protected]

Published

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), 1850011(17 pages).

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


Submitted or Accepted for Publication

Generalized multiplicities of edge ideals (with I. Soprunov and J. Validashti). Appear in Journal of Algebraic Combinatorics.

Regularity of powers of unicyclic graphs (with S. Beyarslan and S. Selvaraja). Submitted for publication, 2017.


This semester (Fall 2017) at UWStout I am teaching the following courses:

Previous courses that I have taught at UWStout

Spring 2017
MATH 250, Differential Equations With Linear Algebra
MATH 151, Calculus with Precalculus II
MATH 150, Calculus with Precalculus I

Fall 2016
MATH 120, Introductory College Mathematics I
MATH 121, Introductory College Mathematics II


Previous courses that I have taught at Western Illinois University

Spring 2016
MATH 100, College Algebra
MATH 128, PreCalculus Algebra

Fall 2015
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.