E-mail: annacg at umich dot edu
Phone: +1 734 224 8535
My research interests include analysis, probability, discrete mathematics, and algorithms. I am especially interested in randomized algorithms with applications to harmonic analysis, signal and image processing, and massive datasets.
I received an S.B. degree from the University of Chicago and a Ph.D. from Princeton University, both in Mathematics. In 1997, I was a postdoctoral fellow at Yale University and AT&T Labs-Research. From 1998 to 2004, I was a member of technical staff at AT&T Labs-Research in Florham Park, NJ. Since then, I have been with the Department of Mathematics at the University of Michigan, where I am now the Herman H. Goldstine Collegiate Professor. I also have a joint appointment in Electrical and Computer Engineering. I have received several awards, including a Sloan Research Fellowship (2006), an NSF CAREER award (2006), the National Academy of Sciences Award for Initiatives in Research (2008), the Association of Computing Machinery (ACM) Douglas Engelbart Best Paper award (2008), the EURASIP Signal Processing Best Paper award (2010), and the SIAM Ralph E. Kleinman Prize (2013).
- In Fall 2016, I will be teaching M571 (Numerical Linear Algebra). M571 focuses on algorithms for linear algebra problems (solving linear systems, eigenvalue problems, and least squares problems) which are at the foundation of much of scientific computing, data science, machine learning, digital signal and image processing, network analysis, etc.
- I will also teaching M556 (Applied Functional Analysis). M556 covers topics in functional analysis that are used in the analysis of differential equations, signal processing, and theoretical computer science. We will cover the following topics: metric and normed linear spaces, Banach spaces, Hilbert space, spectral theory of compact operators, distributions and Fourier transforms, Sobolev spaces, dual spaces, convex analysis, and applications.