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The list below is a summary of research areas. More details can be found at Faculty Research pages and at the individual faculty websites. The faculty are organized in research groups.

- Mary Beisiegel Mathematics Education
- William Bogley Group Theory, Topology
- Vrushali Bokil Numerical Analysis, Mathematical Biology, Applied Mathematics
- Elaine Cozzi Analysis of PDEs
- Radu Dascaliuc Analysis of PDEs
- Patrick De Leenheer Mathematical Biology
- Thomas Dick Mathematics Education
- Tevian Dray Geometry, Relativity, Mathematical Physics, Mathematics Education
- Christine Escher Algebraic Topology and Differential Geometry
- Adel Faridani Numerical Analysis, Applied Analysis, Computed Tomography
- David Finch Analysis, Computed Tomography
- Nathan Gibson Numerical Analysis, Uncertainty Quantification, Electromagnetics
- Ren Guo Topology, Geometry
- Robert Higdon Numerical Analysis, PDE, Applications to Ocean Modeling
- David Koslicki Mathematical Biology, Probability, Bioinformatics
- Yevgeniy Kovchegov Probability
- Elise Lockwood Mathematics Education, Combinatorics
- Mina Ossiander Probability, Stochastic Processes, Applications in the Physical and Social Sciences
- Malgorzata Peszynska Numerical and Applied Analysis, Multiscale and Interdisciplinary Modeling, Scientific Computing
- Clayton Petsche Number Theory, Arithmetic Dynamical Systems
- Petri Juha Pohjanpelto Geometry
- Juan Restrepo Uncertainty Quantification, Applications in Oceanography and Physics
- Thomas Schmidt Number Theory, Continued Fractions, Translation Surfaces
- Ralph Showalter Analysis of PDEs, Modeling Diffusion and Deformation, Poromechanics
- Holly Swisher Number Theory, Modular Forms, Partitions, Hypergeometric Series
- Enrique Thomann Analysis of PDEs, Probability, Financial Mathematics