Positions
Publications

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

Syzygies and Singularities of Tensor Product Surfaces of Bidegree (2,1),
with H. Schenck and A. Seceleanu, Math. Comp. 83 (2014), 13371372.
 Multiplicities, Integral Dependence and Equisingularity,
with S. Kleiman and B. Ulrich, in preparation.

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

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.

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

A Criterion for Integral Dependence of Modules,
with B. Ulrich, Math. Res. Lett. 15 (2008), 149162.
Books
Awards and Service
 Distinguished Teaching Award in Mathematics, University of Illinois at UrbanaChampaign, Spring 2014.
 AMSSimons Travel Grant, 20112013.
 Coorganized the Commutative Ring Theory Seminar, University of Illinois, Fall 2012Fall 2014.
 Coorganized the Midwest Algebra and Geometry Conference, University of Kentucky, June 2012.
 Coorganized the MRC Special Session on Commutative Algebra, New Orleans, January 2011.
 Gold Medal Winner in the National Mathematics Olympiad, Iran, February 1993.
 Referee for Proceedings of the AMS, Proceedings of the London Mathematical Society, Illinois Journal of Mathematics,
Journal of Algebra, Communications in Algebra, Journal of Pure and Applied Algebra, Rocky Mountain Journal of Mathematics,
International Journal of Algebra and Computation, Bulletin of the Brazilian Mathematical Society ...
Presentations
 Commutative Algebra Seminar, Purdue University, April 2015.
 Combinatorics, Algebra, and Geometry Seminar, George Mason University, March 2015.
 AMS Special Session on Closure Operations in Commutative Algebra, Georgetown University, March 2015.
 Algebra and Number Theory Seminar, University of Mississippi, October 2014.
 Department of Mathematics Colloquium, Cleveland State University, January 2014.
 Department of Mathematics Colloquium, North Dakota State University, January 2014.
 JMM Special Session on Homological and Characteristic p Methods in Commutative Algebra, Baltimore, January 2014.
 Algebra and Combinatorics Seminar, DePaul University, Chicago, November 2013.
 AMS Special Session on Recent Advances on Commutative Algebra, Louisville, October 2013.
 Department of Mathematics Colloquium, University of Mississippi, August 2013.
 MSRI workshop on Representation Theory, Homological Algebra, and Free Resolutions, February 2013.
 JMM Special Session on Commutative Algebra and Algebraic Geometry, San Diego, January 2013.
 AMS Special Session on Topics in Commutative Algebra, University of Arizona, Tucson, October 2012.
 AMS Special Session on Toric Algebraic Geometry and Beyond, University of Akron, October 2012.
 AMS Special Session on Geometric Modeling, and Algebraic Geometry, New Orleans, October 2012.
 AMS Special Session on Commutative Algebra, University of Akron, October 2012.
 AlgebraGeometryCombinatorics Seminar, University of Illinois, October 2012.
 Department of Mathematics Colloquium, Knox College, IL, May 2012.
 Department of Mathematics Colloquium, Chicago State University, May 2012.
 Department of Mathematics Colloquium, University of WisconsinParkside, March 2012.
 Department of Mathematics Colloquium, Western Illinois University, March 2012.
 Midwest Commutative Algebra and Geometry Conference, Purdue University, May 2011.
 Commutative Algebra Seminar, UC Riverside, March 2011.
 Algebra, Geometry and Combinatorics Day, Purdue University, March 2011.
 JMM Special Session on Local Commutative Algebra, New Orleans, January 2011.
 MRC Workshop in Commutative Algebra, Snowbird, Utah, June 2010.
 AMS Spring Southeastern Sectional Meeting, Lexington, March 2010.
 Department of Mathematics Colloquium, University of Missouri, Columbia, February 2010.
 JMM Special Session on Commutative Algebra, San Francisco, January 2010.
 AMS Fall Southeastern Meeting, Florida Atlantic University, October 2009.
 AMS Fall Central Sectional Meeting, Waco, October 2009.
 KUMUNU, University of Nebraska, Lincoln, September 2009.
 Commutative Algebra Seminar, Purdue University, March 2009.
 AMS Spring Central Sectional Meeting, Urbana, March 2009.
 The 2nd Bluegrass Algebra Conference, University of Kentucky, March 2009.
 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.
 AMS Special Session on Commutative Algebra, Davidson, March 2007.
 JMM Special Session on Commutative Algebra, New Orleans, January 2007.
Meetings
 Algebra, Geometry and Combinatorics Day, DePaul University, Chicago, October 2014.
 Macaulay2 Research Meeting, University of Illinois, June 2014.
 Algebra, Geometry and Combinatorics Day, Loyola University, Chicago, November 2013.
 Commutative Algebra Meeting at CIRM, Luminy, France, July 2013.
 Algebra, Geometry and Combinatorics Day, UIUC, April 2012.
 Commutative Algebra and Algebraic Geometry Conference, UIUC, November 2011.
 Conference on Commutative Algebra and Algebraic Geometry, CIRM, Luminy, France, November 2010.
 Conference in Honor of Wolmer Vasconcelos, Olinda, Brazil, August 2009.
 The 27th Brazilian Mathematics Colloquium, IMPA, Rio, July 2009.
 The ShowMe Algebraic Geometry Workshop, Washington University, St. Louis, May 2009.
 The GSUUSC Commutative Algebra Seminar, Atlanta, February 2009.
 The GSUUSC Commutative Algebra Seminar, Columbia, 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.
 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.
 Midwest Algebra and Geometry Meeting, University of Notre Dame, October 2005.
 Conference in Honor of Phil Griffith, University of Illinois, September 2005.
 Summer School on Local Cohomology, Snowbird, Utah, June 2005.
 Arkansas Meeting on Tight Closure, University of Arkansas, April 2005.
 XVIII Brazilian Algebra Meeting, UNICAMP, Brazil, July 2004.
 Summer School on Commutative Algebra, ICTP, Trieste, Italy, May 2004.
 Midwest Algebra and Geometry Meeting, Purdue University, May 2004.
 Bluegrass Algebra Conference, University of Kentucky, March 2003.
 Workshop on Local and Birational Theory, MSRI, Berkeley, December 2002.
 Workshop on Commutative Algebra, MSRI, Berkeley, September 2002.
Teaching
 Abstract Algebra, Math 358, Cleveland State University, Spring 2015.
 Junior Seminar, Math 396, Cleveland State University, Spring 2015.
 Calculus I, Math 221, University of Illinois at UrbanaChampaign, Fall 2014, Fall 2013.
 Calculus II, Math 231, University of Illinois at UrbanaChampaign, Spring 2014.
 Abstract Linear Algebra, Math 416, University of Illinois at UrbanaChampaign, Spring 2013 (Honors), Fall 2012.
 Applied Linear Algebra, Math 415, University of Illinois at UrbanaChampaign, Spring 2012, Fall 2011.
 Differential Equations, Math 285, University of Illinois at UrbanaChampaign, Spring 2012.
 Abstract Linear Algebra, Math 590, University of Kansas, Summer 2011, Summer 2010, Spring 2008.
 Statistics, Math 365, University of Kansas, Spring 2011.
 Modern Geometries, Math 559, University of Kansas, Fall 2010.
 Applied Linear Algebra, Math 290, University of Kansas, Fall 2010, Spring 2008.
 Vector Calculus, Math 223, University of Kansas, Fall 2009.
 Calculus II, Math 142 (Honors), University of Kansas, Spring 2010, Math 116, Spring 2009, Fall 2008.
 Calculus I, Math 121, University of Kansas, Fall 2007.
