# Research in Mathematics and Statistics

Department of Mathematics and Statistics faculty members are actively engaged in original and state-of-the-art research projects. Their results are regularly published in peer-reviewed research journals. Some faculty have been awarded federal and/or state funding for their research.

*On this page:*

## Research Areas

The research faculty is organized around the five following groups.

### Analysis

- Geometric analysis and PDE

Qun Li, Ph.D. - Nonlinear PDEs, applied analysis, and real harmonic analysis

Qingbo Huang, Ph.D. - Operator theory

Steen Pedersen, Ph.D.

### Applied Mathematics

- PDE and applications

Weifu Fang, Ph.D., Chao Huang, Ph.D., David Miller, Ph.D., Mohamed Sulman, Ph.D., Thomas Svobodny, Emily Tian, Ph.D. - Control and optimization

David Miller, Ph.D., Thomas Svobodny, Ph.D. - Numerical and computational math

Weifu Fang, Ph.D., David Miller, Ph.D., Mohamed Sulman, Ph.D.

### Discrete Mathematics

- Combinatorics and coding theory

K.T. Arasu, Ph.D., Yuqing Chen, Ph.D., Anthony Evans, Ph.D., Xiaoyu Liu, Ph.D. - Graph theory and matroid theory

Anthony Evans, Ph.D., Terry McKee, Ph.D., Daniel Slilaty, Ph.D., Xiangqian Zhou, Ph.D.

### Mathematics Education

- Algebra and calculus: Concepts and reasoning

Michelle Reed, Ph.D. - Mathematical knowledge for teaching

Michelle Reed, Ph.D. - Professional development and lesson study

Ann Farrell, Ph.D. - Statistical reasoning

Glenn Dahl, Michelle Reed, Ph.D.

### Statistics and Probability

- Statistical theory, methods and applications

Harry Khamis, Ph.D., Makarand Ratnaparkhi, Ph.D., Shuxia Sun, Ph.D., Thaddeus Tarpey, Ph.D., Weizhen Wang, Ph.D. - Experimental design and testing hypotheses

Dan Voss, Ph.D., Weizhen Wang, Ph.D. - Biostatistics

Harry Khamis, Ph.D., Makarand Ratnaparkhi, Ph.D., Thaddeus Tarpey, Ph.D., Weizhen Wang, Ph.D.

## Publications

- 2013 Research Publications (PDF)
- 2012 Research Publications (PDF)
- 2011 Research Publications (PDF)
- 2010 Research Publications (PDF)
- 2009 Research Publications (PDF)

## Funded Research/Scholarship

- Thad Tarpey, "Statistical Methods for Mapping Human Brain Development", sub-award from NYU, funded by NIH (R01), 2012-2017
- Dan Slilaty, "Topological Graph Theory and Matroid Theory", funded by Simons Foundation, 2012-2017
- Ann Farrell and Sachiko Tosa, "Impact of Lesson Study as a Model of Collaborative Professional Development", funded by Ohio Department of Education, 2012-2013
- K. T. Arasu, "Algebraic Methods to Design Signals", funded by AFOSR, 2012-2015
- Michelle Reed, "Project KNOTtT 3.0: Mobilizing National Educator Talent", sub-award from OSU, funded by US Department of Education, 2011-2016
- K.T.Arasu, "REU Supplement: Algebraic Methods in the Study of Some Problems in Communication Engineering", funded by NSF, 2011-2013
- "Fully Nonlinear Equations in Complex Geometry" (PI: Q.Li), funded by NSF, 2011-2014.
- "Algebraic Methods in the Study of Some Problems in Communication Engineering" (PI:
*Arasu*), funded by**NSF**, 2010-2013. - "Implementing Lesson Study and Measuring Its Impact on Teacher Development" (co PIs:
*Appova, Farrell, Tosa*), funded by**ODE**, 2010-2011. - "Two Problems in Statistical Inference" (PI:
*Wang*), funded by**NSF**, 2009-2012 - "Signal Designs via Combinatorical Designs" (PI:
*Arasu*), funded by**AFOSR**, 2008-2011. - "Project KNOTtT (Kansas, Nevada, Ohio, and Texas: Transition to Teaching)" (PI: Reed), funded through OSU, 2008-2011.

## Graduate Student Research

View recent Graduate Theses in OHIOLink

For additional information regarding research, visit individual faculty webpages.