Math REU at Kent State University

June 8 - July 31, 2015




Mailing address

REU program
Dept. of Math Sciences
Kent State University
Math & CS Building
Summit Street, Kent OH 44242

Contact

Jenya Soprunova
reu [at] math.kent.edu
FAX: (330) 672-2209

2015 Projects

This year we will recruit nine students to work on one of two projects.

Lattice point geometry (Jenya Soprunova)

We will explore some questions in lattice point geometry whose motivation comes from coding theory and algebraic geometry. No background in lattice point geometry, coding theory, or algebraic geometry is expected, but it would be helpful to have completed a course or two in (undergraduate) Abstract Algebra. Here are papers produced with two of my REU groups. The first one is related to this year's project.
Minkowski length of 3D lattice polytopes, Olivia Beckwith, Matthew Grimm, Jenya Soprunova, and Bradley Weaver, Discrete and Computational Geometry 48, Issue 4 (2012), Page 1137-1158.
Tropical Determinant of Integer Doubly-Stochastic Matrices,Thomas Dinitz, Matthew Hartman, and Jenya Soprunova, Linear Algebra and its Applications 436, Issue 5 (2012), 1212-1227.

Interactions between Linear Algebra and Ring Theory (Misha Chebotar)

We will study some problems that attract attention of researchers working in Linear Algebra and Ring Theory. Here are samples of recently completed projects of my REU groups: On maps preserving zeros of Lie polynomials of small degrees , On multilinear polynomials in four variables evaluated on matrices , On commutators of matrices over unital rings, and On the images of Lie polynomials evaluated on Lie algebras.

Prerequisites: Advanced Linear Algebra or Theory of Matrices, Ring Theory or Modern Algebra.