Associate Professor of Mathematics
Burton Hall 314
Email: jtymoczko AT smith dot edu
Office hours: Tuesday 3-4pm (tentative), Wednesday noon-1pm, and Thursday 11-noon. I also hold email office hours Monday and Thursday from 8-9pm.
I attend the Valley Geometry Seminar and the Representation Theory seminar regularly.
- In March, I will speak at the AMS Special Session on Algebraic Combinatorics at Michigan State University.
- In April, I will speak at TAGS 2014: Texas Algebraic Geometry Symposium.
- In April, I will also attend a conference on Multivariate Splines and Algebraic Geometry at Oberwolfach.
- In May, I will attend a conference on Representation theory and geometry of symplectic resolutions at Northeastern University in Boston.
Research Interests and Activities
My research is in algebraic geometry where it intersects combinatorics and representation theory. I use combinatorial or algebraic tools to answer geometric questions, and vice versa. I am supported by a National Science Foundation grant and was an Alfred P. Sloan fellow.
A geometer studies objects like circles, spheres, doughnuts, inner tubes, and others too complicated to imagine. The most concise way to describe geometric objects is as the zero set of a collection of polynomials; for instance, the zero set of x2+y2=1 is the unit circle in the plane. Now imagine the zero set of seventeen polynomials in forty variables. What dimension is it? Does it have holes? How many pieces does it have? An algebraic geometer uses the algebra of polynomials to answer questions like these about the object.
Technical details are on my research page.