Assistant Professor of Mathematics
Burton Hall 314
Email: jtymoczko AT smith dot edu
Office hours: Monday noon-1pm, Wednesday 2:30-3:15pm, Thursday 1-2:30pm, and by appointment. I will also hold email office hours 8:30-9:30pm weeknights. Office hours may change and/or become irregular in March.
This semester I'm teaching Math 353 (Applied Algebraic Combinatorics).
I attend the Valley Geometry Seminar and the Representation Theory seminar regularly.
- In early April, I will speak at the combinatorics seminar at Georgia Tech.
- In January, I spoke at the Combinatorial Algebra meets Algebraic Combinatorics conference at Dalhousie University in Halifax, Nova Scotia.
- In January, I spoke at the Joint Math Meetings in Baltimore.
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 an Alfred P. Sloan Research Fellow and am supported by a National Science Foundation grant.
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.