Associate Professor of Mathematics
Burton Hall 314
Email: jtymoczko AT smith dot edu
Office hours: Monday 1-3pm, Wednesday 1-3pm, Thursday 3-4pm, and by appointment.
This semester I'm teaching Math 300 (Dialogues in Math), and Math 301 (Topics in Math).
I co-organize the Algebra/Combinatorics/Geometry seminar at Smith College.
I attend the Valley Geometry Seminar and the Representation Theory seminar regularly.
- In March, I'll give the departmental colloquium at McMaster University in Hamilton, Ontario.
- In March, I'll also speak at the AMS Special Session on Geometric Methods in Representation Theory.
- In April, I'll speak at USTARS, which is held this year at Amherst Colleeg.
- In April, I'll also speak at the AMS Special Session on Representation Stability and its Applications.
- In April, I'll also speak at AGNES, which is held this year at Stony Brook.
- In May, I hope to attend MAAGC in Philadelphia, which is held this year at Drexel University.
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.