## Math REU at Kent State University## June 8 - July 31, 2015 |

## Mailing addressREU programDept. of Math Sciences Kent State University Math & CS Building Summit Street, Kent OH 44242 ## ContactJenya Soprunovareu [at] math.kent.edu FAX: (330) 672-2209 |
## 2015 ProjectsThis year we will recruit nine students to work on one of two projects.
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.
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. |