## Expertise

Algebraic Geometry and especially Moduli of Vector Bundles on Curves, Mathematics Education

## Research Interests

My research deals with algebraic curves and moduli spaces. These are curves defined by means of simple equations, very much in the way of high school algebra. To each point on a curve, one can often associate in a natural way a line or plane (or higher dimensional linear variety) that moves with the point in the curve. This set of linear spaces is called a vector bundle. Vector bundles appear in a variety of questions in Physics (like the computation of Gromov-Witten invariants) . Moreover, they provide new insights into old mathematical problems and have been used to give beautiful proofs to long standing conjectures as well as striking counterexamples to some others. To learn more about my research, please review my Math Rev profile and publications.

**Teaching:**

Information about the courses that I teach is posted on Canvas.

**Mathematics Education:**

I work with colleagues in the Education department and TERC to develop courses in Math Education for middle and high school teachers.