## Summer 2018 Projects |

## Mailing addressREU programDept. of Math Sciences Kent State University Math & CS Building Summit Street, Kent OH 44242 ## ContactJenya Soprunovareu [at] math.kent.edu TEL: (330)672-9086 FAX: (330) 672-2209 |
This year we will recruit nine students to work on three projects described below.
Change point analysis is a statistical method to identify time points when the system under investigation encounters abrupt changes. High-dimensional time series data are commonly observed in many fields including medical, environmental, financial, engineering and geographical studies. We will study some new methods to detect change points in high-dimensional time series data. The developed methods will span a wide range of topics in applications, including identifying significant genes associated wth certain diseases and cancers and studying dynamic functional connectivity in resting state fMRI data. Prerequisites: some knowledge in Statistical Computing using R or other software; Matrix Theory.
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.
You can have a look at the papers produced with three of my REU groups. The first two are related to this year's project.
This Summer my group will be working on some problems that naturally arise in different areas of Noncommutative Algebra. Possible topics include functional identities; linear preservers; interactions of ring theory, linear algebra and operator theory; radical theory. Prerequisites: Linear Algebra (Theory of Matrices), Abstract Algebra. For the previous projects of my REU groups please visit https://sites.google.com/a/kent.edu/mikhail-chebotar/reu-stude. |