Anna Catherine Gilbert (born 1972) is an American mathematician who works as the Herman Goldstine Collegiate Professor of Mathematics at the

University of Michigan , mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As o ...

. She also holds a courtesy appointment in electrical engineering and computer science at Michigan. Her research expertise is in randomized algorithms for harmonic analysis, image processing,

signal processing Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing ''signals'', such as sound, images, and scientific measurements. Signal processing techniques are used to optimize transmissions, ...

, and large data sets..

Education and career

Gilbert earned a bachelor's degree from the

University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private university, private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park, Chicago, Hyde Park neighborhood. The University of Chic ...

in 1993, and completed her Ph.D. in 1997 from

Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...

under the supervision of Ingrid Daubechies. After postdoctoral research at

Yale University Yale University is a Private university, private research university in New Haven, Connecticut. Established in 1701 as the Collegiate School, it is the List of Colonial Colleges, third-oldest institution of higher education in the United Sta ...

, she joined AT&T Labs, and continued there as a staff member until 2004, when she moved to Michigan.

Research

Gilbert's research discoveries have included the existence of

multifractal A multifractal system is a generalization of a fractal system in which a single exponent (the fractal dimension) is not enough to describe its dynamics; instead, a continuous spectrum of exponents (the so-called singularity spectrum) is needed ...

behavior in TCP-based internet traffic, the development of

streaming algorithm In computer science, streaming algorithms are algorithms for processing data streams in which the input is presented as a sequence of items and can be examined in only a few passes (typically just one). In most models, these algorithms have access t ...

s based on random projections for aggregating information from large data streams using very small amounts of working memory, and a foundational analysis of the ability of orthogonal matching pursuit to recover sparse signals with her student Joel Tropp.

Recognition

She became a

Sloan Fellow The Sloan Fellows program is the world's first mid-career and senior career master's degree in general management and leadership. It was initially supported by a grant from Alfred P. Sloan, the late CEO of General Motors, to his alma mater, MI ...

in 2006. In 2008, she was awarded the

NAS Award for Initiatives in Research The William O. Baker Award for Initiatives in Research, previously the NAS Award for Initiatives in Research, is awarded annually by the National Academy of Sciences "to recognize innovative young scientists and to encourage research likely to lea ...

and the Association for Computing Machinery Douglas Engelbart Award. In 2013 she won the Ralph E. Kleinman Prize of the Society for Industrial and Applied Mathematics "for her creative and deep contributions to the mathematics of signal processing, data analysis and communications". She was an invited speaker at the International Congress of Mathematicians in 2014, speaking on "Mathematics in Science and Technology". She gave the von Neuman Lecture at the 2022 Joint Mathematics Meeting, titled "Metric representations: Algorithms and Geometry."

References

{{DEFAULTSORT:Gilbert, Anna Catharine 1972 births Living people 20th-century American mathematicians 21st-century American mathematicians American computer scientists American women mathematicians American women computer scientists University of Chicago alumni Princeton University alumni University of Michigan faculty 20th-century women mathematicians 21st-century women mathematicians 20th-century American women 21st-century American women