# Welcome to the Math Department

Use the navigation menu on the left to browse around the site!

## Announcements

Students wanting to **add a math major** or
**switch to a math major** can do so between February 15 and
March 31, during First Summer Session, or between October 1 and the day
before Thanksgiving break.

**Advising Information - New Courses (April 2015 update)**

## Featured Research

**Leonardo Mihalcea**- My research centers around the study of various aspects of ordinary and quantum cohomology theories of (generalized) flag varieties. This is a vast area where the symmetry of flag manifolds meets the subtle geometry of moduli spaces of rational curves. It uses techniques from Algebraic Geometry (such as Intersection Theory, Schubert Calculus, Gromov-Witten theory and the study of K-theory), Combinatorics (root systems and symmetric functions) and Geometric Representation Theory (geometry of homogeneous spaces), with bridges to seemingly distant areas such as Integrable Systems (Toda lattice).

To the right there is a picture of the moment graph of the flag manifold of type G2, obtained by Rachel Elliott and Mark Lewers, who worked on an undegraduate research project under my supervision. They used this moment graph to calculate the "curve neighorhoods" of Schubert varieties in the G2 flag manifold, and found G2 analogues of "quantum Schubert polynomials".

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