## Welcome!

I am a Professor in the Mathematics Department at Cal Poly Humboldt . My research interests are noncommutative algebras arising in noncommutative algebraic geometry, topology and physics. Andrew Conner and I have recently studied the Koszul property for cohomology algebras of analogues of the pure braid group. I am also currently interested in graded Hopf algebras, and Nichols algebras. On my last sabbatical (Fall 2012), I worked with the algebra group at Wake Forest University on maximal Cohen-Macaulay modules and Calabi-Yau algebras. In Spring 2017, I studied the cohomology of graded algebras which can be realized as twisted tensor products. In August 2017, I submitted a manuscript *The Koszul Property for Graded Twisted Tensor Products.* This paper will appear in The Journal of Algebra in November 2018. During Fall 2017, I studied algebraic number theory. I plan on conducting research in noncommutative invariant theory over Spring 2018. In Fall 2018, I submited another manuscript on classification and geometry of low-dimensional graded twisted tensor products. I studied Hochschild cohomology and deformations of some algebras arising from noncommutative invariant theory over the Fall 2018 semester. I was on sabbatical leave in academic year 2019-2020, and published a paper on the coherence property for graded algebras. My plan for Fall 2020 is to finish writing a manuscript on noncommutative geometry associated to twisted tensor products.

In the lower division I usually teach courses in calculus and linear algebra. In the upper division, I teach abstract algebra and number theory. I also like to run seminar courses for advanced mathematics students. Some of the most recent topics have included: elliptic curves, *p*-adic Numbers, matrix Lie groups, Groebner bases, Lie algebras, algebraic geometry, algebraic number theory, algebraic topology, and representation theory of finite groups.

## Contact information

Email: peter.goetz (at) humboldt (dot) edu

Address:

Dr. Peter Goetz

Mathematics Department

Humboldt State University

1 Harpst St

Arcata, CA 95521

Office: Behaviorial and Social Sciences (BSS) 358

Office phone: 707-826-3926