Data Science
Data Science has its foundations in mathematics, statistics, and computer science. The Department of Mathematics supports a diverse program offering strong training in the mathematical core of Data Science including approximation theory, compressed sensing, learning theory, numerical analysis, optimal recovery, signal/image processing, as well as targeted application areas. Several of its faculty are members of the Research Institute for Foundations of Interdisciplinary Data Science and the Institute of Data Science. Ongoing research in the department is supported by grants from the National Science Foundation (including a TRIPODS grant in collaboration with other departments) and the Department of Defense.
Faculty


Andrea Bonito
Professor of Mathematics
Adaptive Methods, Geometric PDEs, Non Newtonian Fluid Dynamics, and High Dimensional Approximation Methods.


Ronald DeVore
Koss Professor of Mathematics, Distinguished Professor
Approximation Theory, Numerical Analysis, Data Assimilation, and Deep Learning.


Tamás Erdélyi
Professor of Mathematics
Approximation Theory, Polynomials, and Classical Analysis.


Yalchin Efendiev
Professor of Mathematics, Mobil Chair in Computational Science
Numerical Analysis, Multiscale Finite Element Method, and Flow in Porous Media.


Simon Foucart
Professor of Mathematics
Compressive Sensing, Approximation Theory, Computational Mathematics, and Bioinformatics.


Boris Hanin
Assistant Professor of Mathematics
Deep Learning, Probability, and Spectral Asymptotics.


William Johnson
A.G. and M.E. Owen Chair, Distinguished Professor
Geometry of Discrete Metric Spaces and Metric Embeddings.


Peter Kuchment
Distinguished Professor of Mathematics
PDEs, Mathematical Physics, Computerized Tomography, Geometric Analysis, and Imaging Science.


Matthias Maier
Assistant Professor of Mathematics
Multiscale Effects in Optical Metamaterials, Multiscale Methods, Computational Fluid Dynamics, Finite Element Methods and Software.


Francis Narcowich
Professor of Mathematics
Radial Basis Functions, Approximation and Interpolation on Spheres, ScatteredData Surface Fitting, Neural Networks, and Wavelets.


Guergana Petrova
Professor of Mathematics
Numerical Methods for PDEs, and Approximation Theory, Wavelets.


Thomas Schlumprecht
Professor of Mathematics
Functional Analysis, Banach spaces, Probability Theory, Convex Geometry, and Mathematics in Finance.


Peter Stiller
Professor of Mathematics
Functorial Data Clustering Methods, Geometry of Injective Envelopes and Spanning Complexes, Topological Data Analysis.


Edriss Titi
Arthur Owen Professor of Mathematics
Nonlinear PDEs, Atmospheric and Oceanic Dynamics, Data Assimilation, and Control Theory.


Joseph Ward
Professor of Mathematics
Applied Harmonic Analysis, Approximation Theory, Meshfree Methods, Analysis and Representation of Data on Manifolds.
Visiting Faculty and Postdocs


Diane Guignard
Visiting Assistant Professor
Numerical Approximation of PDEs, a priori and a posteriori Error Analysis, Adaptive Algorithms, Reduced Order Modeling.


Peter Jantsch
Visiting Assistant Professor
Numerical Methods for High Dimensional Random PDEs, with Applications to Uncertainty Quantification.
Graduate Students