Julianna Tymoczko: algebraic and combinatorial geometer

Julianna Tymoczko

Associate Professor of Mathematics
Burton Hall 314
(413) 585–3775

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.

Current Events

This semester I'm teaching Math 233 (Modern Algebra), Math 300 (Dialogues in Math), and Math 301 (Topics in Math).

I attend the Valley Geometry Seminar and the Representation Theory seminar regularly.

Other events:

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.