I received my PhD in Mathematics from Purdue University in 2007 under the direction of Professor Bernd Ulrich.
Then I held postdoctoral positions at the University of Kansas and the University of Illinois at UrbanaChampaign,
and an Assistant Professor position at Cleveland State University before joining the faculty at DePaul University in 2018.
My research interests are in commutative algebra, algebraic geometry and combinatorics, with particular interest in
multiplicity theory and its applications in algebraic, geometric and combinatorial structures.
Education
Positions
 Term Assistant Professor, Mathematics Department, DePaul University, Fall 2018Present.
 Assistant Professor, Mathematics Department, Cleveland State University, Spring 2015Spring 2017.
 Visiting Assistant Professor, Mathematics Department, University of Illinois at UrbanaChampaign, Fall 2011Fall 2014.
 Visiting Assistant Professor, Mathematics Department, University of Kansas, Fall 2007Spring 2011.
Teaching
 DePaul University
 Sample Teaching Evaluations.
 Business Calculus II, Winter 2019.
 Discrete Mathematics I, Fall 2018, Spring 2019.
 Discrete Mathematics II, Fall 2018, Winter 2019, Spring 2019.
 Graph Theory, Spring 2019.
 Cleveland State University
 Sample Teaching Evaluations.
 Abstract Algebra, Spring 2015, Spring 2016.
 Discrete Mathematics, Fall 2015.
 Geometry, Fall 2016.
 Junior Seminar, Spring 2015, Spring 2016, Fall 2016.
 University of Illinois
 Sample Teaching Evaluations.
 Abstract Linear Algebra, (Honors) Spring 2013, Fall 2012.
 Applied Linear Algebra, Spring 2011, Fall 2011.
 Calculus I, Fall 2014, Fall 2013.
 Calculus II, Spring 2014.
 Differential Equations, Spring 2011.
 University of Kansas
 Sample Teaching Evaluations.
 Abstract Linear Algebra, Summer 2011, Summer 2010, Spring 2008.
 Applied Linear Algebra, Fall 2010, Spring 2008.
 Calculus I, Fall 2007.
 Calculus II, Spring 2010 (Honors), Spring 2009, Fall 2008.
 Geometry, Fall 2010.
 Statistics, Spring 2011.
 Vector Calculus, Fall 2009.
Research Interests
 Commutative Algebra, Multiplicity Theory, Integral Dependece, Symbolic Powers of Ideals
 Algebraic Geometry, Equisingularity Theory, Syzygies and Singularities
 Combinatorial Commutative Algebra, Multiplicities and Newton Polyhedra, Edge Polytopes of Graphs
Publications
 Multiplicity Theory

A Generalization of an Inequality of Lech Relating Multiplicity and Colength,
with C. Huneke and I. Smirnov, to appear in Comm. Algebra

HilbertKunz Multiplicity of the Product of Ideals,
with N. Epstein, To appear in J. Commut. Algebra

Relative Multiplicities of Graded Algebras,
J. Algebra 333 (2011), 1425.

Numerical Criteria For Integral Dependence,
with B. Ulrich, Math. Proc. Camb. Phil. Soc. 151 (2011), 95102.

Multiplicities and Rees Valuations,
with D. Katz, Collectanea Math. 61 (2010), 124.

A Criterion for Integral Dependence of Modules,
with B. Ulrich, Math. Res. Lett. 15 (2008), 149162.
 Combinatorial Commutative Algebra

Generalized Multiplicities of Edge Ideals,
with I. Soprunov and A. Alilooee, J. Alg. Comb. 47 (2018) 441472.
 Symbolic Powers of Ideals

Uniform Symbolic Topologies and Finite Extensions,
with C. Huneke and D. Katz, J. Pure Appl. Algebra, 219 (2015) 543550.

On the Equality of Ordinary and Symbolic Powers of Ideals,
with A. Hosry and Y. Kim, J. Commut. Alg. 4 (2012), 281292.

Uniform Equivalence of Symbolic and Adic Topologies,
with C. Huneke and D. Katz, Illinois J. Math. 53 (2009), 325338.
 Syzygies and Singularities

Syzygies and Singularities of Tensor Product Surfaces of Bidegree (2,1),
with H. Schenck and A. Seceleanu, Math. Comp. 83 (2014), 13371372.
 Book
 Geometry, Mathematics Olympiad Series,
Fatemi Pub. ISBN 9643183297 (2006), 212 pages.
Publisher's page, in Persian.
Awards and Grants
Service
Presentations
 Upcoming
 MSRI School on Commutative Algebra and its Interaction with Algebraic Geometry, University of Notre Dame, June 2019.
 Conferences
 Midwest Commutative Algebra and Geometry Conference, Purdue University, May 2011.
 Algebra, Geometry and Combinatorics Day, Purdue University, March 2011.
 KUMUNU, University of Nebraska, Lincoln, September 2009.
 The 2nd Bluegrass Algebra Conference, University of Kentucky, March 2009.
 Workshops
 MSRI workshop on Representation Theory, Homological Algebra, and Free Resolutions, Feb 2013.
 MRC Workshop in Commutative Algebra, Snowbird, Utah, June 2010.
 Colloquiums

Multiplicities and Distinguishing Singularities, Department of Mathematics, Cleveland State University, January 2014.
 Rees criteria and their applications, Department of Mathematics, North Dakota State University, January 2014.
 Numerical measures of singularity, Department of Mathematics, University of Mississippi, August 2013.
 Criteria for integral dependence, Department of Mathematics, University of Arkansas, January 2013.
 Department of Mathematics, University of Missouri, February 2010.
 AMS Meetings
 Special Session on Multiplicities and Volumes, University of Michigan, October 2018.
 Special Session on Commutative Ring Theory, North Dakota State University, April 2016.
 Special Session on Closure Operations in Commutative Algebra, Georgetown University, March 2015.
 JMM Special Session on Homological and Characteristic p Methods in Commutative Algebra, Baltimore, January 2014.
 Special Session on Recent Advances on Commutative Algebra, Louisville, October 2013.
 JMM Special Session on Commutative Algebra and Algebraic Geometry, San Diego, January 2013.
 Special Session on Topics in Commutative Algebra, University of Arizona, Tucson, October 2012.
 Special Session on Toric Algebraic Geometry and Beyond, University of Akron, October 2012.
 Special Session on Geometric Modeling, and Algebraic Geometry, New Orleans, October 2012.
 Special Session on Commutative Algebra, University of Akron, October 2012.
 Special Session on Geometric Modeling, and Algebraic Geometry, New Orleans, January 2011.
 Special Session on Commutative Algebra, University of Kentucky, March 2010.
 JMM Special Session on Commutative Algebra, San Francisco, January 2010.
 AMS Special Session on Homological Aspects of Module Theory, Florida Atlantic University, Oct 2009.
 Special Session on Commutative Algebra: Module and Ideal Theory, Baylor University, Oct 2009.
 Special Session on Commutative Algebra, University of Illinois, March 2009.
 Special Session on Commutative Algebra and Algebraic Geometry, Davidson, March 2007.
 JMM Special Session on Commutative Algebra and and Algebraic Geometry, New Orleans, Jan 2007.
 Seminars
 Algebra and Combinatorics Seminar, DePaul University, Chicago, November 2018.
 Algebra and Combinatorics Seminar, DePaul University, Chicago, April 2018.
 Commutative Algebra Seminar, Purdue University, April 2018.
 Commutative Algebra Seminar, Georgia State University, April 2016.
 Hurwitz's Eight Square Theorem, Math Club, Cleveland State University, Feb 2015.
 Commutative Algebra Seminar, Purdue University, April 2015.
 Algebra Seminar, Cleveland State University, April 2015.
 Combinatorics, Algebra, and Geometry Seminar, George Mason University, March 2015.
 Algebra and Number Theory Seminar, University of Mississippi, October 2014.
 Algebra and Combinatorics Seminar, DePaul University, Chicago, November 2013.
 AlgebraGeometryCombinatorics Seminar, University of Illinois, October 2012.
 Commutative Ring Theory, University of Illinois, September 2012.
 Commutative Algebra Seminar, UC Riverside, March 2011.
 Commutative Algebra Seminar, University of Kanas, March 2009.
 Commutative Algebra Seminar, Purdue University, March 2009.
 Commutative Algebra Seminar, University of Kanas, October 2008.
 Commutative Algebra Seminar, University of Kanas, September 2008.
 Commutative Algebra Seminar, Purdue University, September 2008.
 GeometryAlgebraSingularities Seminar, Northeastern University, Boston, March 2008.
 Commutative Algebra Seminar, University of Missouri, Columbia, March 2008.
 Commutative Algebra Seminar, University of Nebraska, Lincoln, October 2007.
Meetings Attended
 Upcoming
 SQuaRE on "Intersection numbers and criteria for integral dependence", AIM, June, 2019.
 Conference in Honor of Bernd Ulrich , University of Notre Dame, June 2019.
 International
 Commutative Algebra Meeting at CIRM, Luminy, France, July 2013.
 Commutative Algebra Meeting at CIRM, Luminy, France, November 2010.
 Conference in Honor of Wolmer Vasconcelos, Olinda, Brazil, August 2009.
 XVIII Brazilian Algebra Meeting, UNICAMP, Brazil, July 2004.
 Summer School on Commutative Algebra, ICTP, Trieste, Italy, May 2004.
 Summer School on Algebraic Geometry, ICTP, Trieste, Italy, April 2000.
 The 5th International Meeting on Finite Fields, Augsburg, Germany, August 1999.
 Conferences
 DModules and Hodge Theory, University of Illinois at Chicago, November 2018.
 Algebraic Geometry and Its Broader Implications, University of Illinois at Chicago, March 2018.
 Commutative Algebra and Its Interactions with Algebraic Geometry, U Michigan, July 2016.
 Midwest Commutative Algebra Conference, University of Notre Dame, May 2016.
 Local and Global Methods in Algebraic Geometry, University of Illinois at Chicago, May 2016.
 Midwest Commutative Algebra Conference, Purdue University, August 2015.
 Algebra, Geometry and Combinatorics Day, DePaul University Chicago, October 2014.
 Algebra, Geometry and Combinatorics Day, Loyola University Chicago, November 2013.
 Algebra, Geometry and Combinatorics Day, University of Illinois, April 2012.
 Commutative Algebra and Algebraic Geometry Conference, University of Illinois, November 2011.
 The ShowMe Algebraic Geometry Workshop, Washington University, St. Louis, May 2009.
 The GSUUSC Commutative Algebra Seminar, Georgia State University, February 2009.
 The GSUUSC Commutative Algebra Seminar, University of South Carolina, November 2008.
 KUMUNU 9, University of Nebraska, September 2008.
 Conference in Honor of Mel Hochster, University of Michigan, July 2008.
 Conference in Honor of Luchezar Avramov, University of Nebraska, May 2008.
 Conference in Honor of Robin Hartshorne, University of Illinois, April 2008.
 KUMUNU 8, University of Nebraska, September 2007.
 Midwest Algebra and Geometry Meeting, University of Notre Dame, October 2005.
 Conference in Honor of Phil Griffith, University of Illinois, September 2005.
 Arkansas Meeting on Tight Closure, University of Arkansas, April 2005.
 Midwest Algebra and Geometry Meeting, Purdue University, May 2004.
 Bluegrass Algebra Conference, University of Kentucky, March 2003.
 Commutative Algebra Days, University of Nebraska, March 2002.
 Workshops
 SQuaRE on "Intersection numbers and criteria for integral dependence", AIM, July, 2018.
 Advances in Algebra and Geometry, MSRI, Berkeley, April 2007.
 Workshop on Integral Closure, Multiplier Ideals and Cores, AIM, Palo Alto, December 2006.
 UICPurdue Algebra and Geometry Workshop, Purdue University, December 2006.
 Summer School on Local Cohomology, Snowbird, Utah, June 2005.
 Commutative Algebra: Local and Birational Theory, MSRI, Berkeley, December 2002.
 Introductory Workshop in Commutative Algebra, MSRI, Berkeley, September 2002.
