Assistant Professor of Mathematics
Burton Hall 314
Email: jtymoczko AT smith dot edu
Office hours: Monday 10:45-11:45am, Tuesday 10:30am-noon, Wednesday 10:45-11:45am, Thursday 10:30am-noon, and by appointment
This semester I'm teaching Math 300 (Dialogues in Mathematics), a seminar on the culture of mathematics and mathematicians.
I attend the Valley Geometry Seminar and the Representation Theory seminar regularly.
- Two current/former students, Nicholas Teff and Heather Russell, will each be presenting work at FPSAC in Paris this summer.
- At the end of May, I will speak at the combinatorics seminar at the University of Quebec in Montreal.
- At the beginning of May, I will be a member of the panel Successful Women in Mathematics and Computer Science, part of the New York Women in Mathematics and Computing Workshop at the Graduate College, CUNY.
- In April, I will speak at an AMS special session on geometric methods in the representation theory of reductive groups.
- In late February, I spoke at the Midwest Topology Seminar, a day-long event held at the University of Illinois, Urbana-Champaign.
- In early February, I spoke at the representation theory seminar at CUNY.
- In January, I spoke at two special sessions at the Joint Math Meetings in San Diego.
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.