Research

Some non-Koszul algebras from rational homotopy theory (with Andrew Conner), The Bulletin of the London Mathematical Society, Advance Access published March 23, 2015, doi: 10.1112/blms/bdv019.

A-infinity algebra structures associated to K2 algebras , (with A. Conner), Journal of Algebra, 337 (2011), no. 1, 63-81.

Fat point modules over generalized Laurent polynomial rings , Journal of Algebra, 313 (2007), no. 2, 657-671.

Generalized Laurent polynomial rings as quantum projective 3-spaces , (with T. Cassidy, B. Shelton), Journal of Algebra, 303 (2006), no. 1, 358-372.

Representation theory of two families of quantum projective 3-spaces , (with B. Shelton), Journal of Algebra, 295 (2006), no. 1, 141-156.

How E(A) is generated as an A-infinity algebra by E^1(A) (with Andrew Conner), in preparation.

Homological properties of twisted tensor products (with Andrew Conner), in preparation.

The noncommutative algebraic geometry of quantum projective spaces , University of Oregon, 2003, (Advisor: Brad Shelton).

Special Session on New Developments in Noncommutative Algebra, AMS Spring Western Sectional Meeting, University of Nevada, Las Vegas, April 2015.

Some non-Koszul algebras from rational homotopy theory" , AMS Fall Western Sectional Meeting, San Francisco State University, San Francisco, CA, October 2014. (slides)

The cohomology of the "group of loops" , AMS Sectional Meeting, Wake Forest University, Winston-Salem, NC, September 2011. (slides)

K2 algebras and A-infinity structures , AMS Sectional Meeting, UC Riverside, Riverside, CA, November 2009. (slides)

Point modules over a Z^2-graded quantum projective 3-space , AMS Sectional Meeting, Davidson College, Davidson, NC, March 2007. (slides)

Noncommutative algebraic geometry workshop, School of Mathematical Sciences, Fudan University, Shanghai, China, September 2006.

Special Session on Regular algebras and noncommutative projective geometry, AMS Sectional Meeting, University of Oregon, November 2005.

Representation theory of a class of quantum projective 3-spaces , AMS/MAA Joint Mathematics Meeting, Atlanta, GA, January 2005.

AMS Sectional Meeting, University of North Carolina, October 2003.

The geometry of a generic quantum projective 3-space , AMS/MAA Joint Mathematics Meeting, Baltimore, MD, January 2003.

Bézout's Theorem: A Tale of Two Curves , Saint Mary's College of California, April 2015. (slides)

The Fundamental Group, Braids and Circles , Humboldt State University, April 2014. (slides)

An Introduction to Koszul Algebras , Sonoma State University, November 2013. (slides)

Some non-Koszul algebras I met on sabbatical , Humboldt State University, February 2013. (slides)

Some non-Koszul algebras I met on sabbatical , Wake Forest University, December 2012. (slides)

Why certain integrals are "impossible" , Sonoma State University, March 2009. (slides) Bézout's Theorem: A Tale of Two Curves , Seattle University, February 2006. (slides)

Constructions of algebras and a new family of quantum projective 3-spaces, Humboldt State University, February 2006.(slides)

Fat point modules over a generalized Laurent polynomial ring, AMS Sectional Meeting, University of Oregon, November 2005.(slides)

Artin-Schelter regular algebras and noncommutative geometry , Bucknell University, April 2003.

The mystery of the missing points , Sonoma State University, March 2003.

Representation theory of quivers and Hall algebras , AMS Summer Session, University of Washington, August 1996.