Welcome

I am an Associate Professor and Robert and Sandra Connor Fellow in the Department of Mathematical Sciences at the University of Arkansas.

I currently organize the Algebra seminar at the University of Arkansas (Schedule of the seminar) 

Current and Previous Positions Held:

July 2021 – present – Associate Professor at the University of Arkansas.

August 2015 – June 2021 – Assistant Professor at the University of Arkansas.

January 2013 – August 2015 – Visiting Assistant Professor at the University of California at Riverside.

Fall 2012 – Post-Doctoral Research Member at the Mathematical Sciences Research Institute (MSRI) in Berkeley, CA.

August 2011 – August 2012 – Bisland Dissertation Fellow at Purdue University.

August 2006 – August 2012 – Graduate Teaching Assistant at Purdue University.

More academic information can be found in my CV.

 

Supervised Ph.D. students:

Jesse Keyton. Ph.D. thesis title: Families of homogeneous licci ideals.  

(part of the thesis was published in Journal of Commutative Algebra (2020), https://projecteuclid.org/euclid.jca/1589335708).

Honors Theses supervised:

Bryant Xie (Spring ’23)

Jack Belyeu (Fall ’21)

Research at a glance:

My research area is Commutative Algebra and its interactions with Algebraic Geometry and Combinatorics.

More specifically, I have research interests in liaison, problems on projective dimension and infinite free resolutions, symbolic powers, ideals of points in projective space, Koszul (commutative) algebras, Combinatorial Commutative Algebra,  Hilbert functions, multiplicity theory and residual intersections.

More details can be found in my research interests page.

 

Teaching at a glance:

Teaching is an invaluable and essential component of my professional life. It gives me the opportunity of sharing with the students the ideas and beauty of Mathematics while, at the same time, learning from the students different perspectives and new approaches to the subject. Their questions, comments, intuitions, observations and ideas play a crucial role in my professional and personal growth.

 

More information about my teaching can be found in my dedicated page.