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
• Publications
• Funded Research/Scholarship
• Graduate Student Research

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.