School of Humanities and Sciences
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Jacopo Borga
Szego Assistant Professor of Mathematics
Current Research and Scholarly InterestsMy research area is probability theory with connections to combinatorics. I mainly focus on the study of various random discrete structures such as random permutations, walks, trees and planar maps. I am interested in their continuous and discrete limits and I look at universality phenomena. I introduced a universal family of limiting permutons, called "skew Brownian permuton", and explored its connections with Liouville quantum gravity. I also studied some polytopes arising from permutations.

Emmanuel Candes
BarnumSimons Chair of Math and Statistics, and Professor of Statistics and, by courtesy, of Electrical Engineering
BioEmmanuel Candès is the BarnumSimons Chair in Mathematics and Statistics, a professor of electrical engineering (by courtesy) and a member of the Institute of Computational and Mathematical Engineering at Stanford University. Earlier, Candès was the Ronald and Maxine Linde Professor of Applied and Computational Mathematics at the California Institute of Technology. His research interests are in computational harmonic analysis, statistics, information theory, signal processing and mathematical optimization with applications to the imaging sciences, scientific computing and inverse problems. He received his Ph.D. in statistics from Stanford University in 1998.
Candès has received several awards including the Alan T. Waterman Award from NSF, which is the highest honor bestowed by the National Science Foundation, and which recognizes the achievements of earlycareer scientists. He has given over 60 plenary lectures at major international conferences, not only in mathematics and statistics but in many other areas as well including biomedical imaging and solidstate physics. He was elected to the National Academy of Sciences and to the American Academy of Arts and Sciences in 2014. 
Gunnar Carlsson
Ann and Bill Swindells Professor, Emeritus
BioDr. Carlsson has been a professor of mathematics at Stanford University since 1991. In the last ten years, he has been involved in adapting topological techniques to data analysis, under NSF funding and as the lead PI on the DARPA “Topological Data Analysis” project from 2005 to 2010. He is the lead organizer of the ATMCS conferences, and serves as an editor of several Mathematics journals

Moses Charikar
Donald E. Knuth Professor and Professor, by courtesy, of Mathematics
Current Research and Scholarly InterestsEfficient algorithmic techniques for processing, searching and indexing massive highdimensional data sets; efficient algorithms for computational problems in highdimensional statistics and optimization problems in machine learning; approximation algorithms for discrete optimization problems with provable guarantees; convex optimization approaches for nonconvex combinatorial optimization problems; lowdistortion embeddings of finite metric spaces.

Persi Diaconis
Mary V. Sunseri Professor in the School of Humanities and Sciences and Professor of Mathematics
Current Research and Scholarly InterestsResearch Interests:
PROBABILITY THEORY
BAYESIAN STATISTICS
STATISTICAL COMPUTING
COMBINATORICS 
Renata Kallosh
Stanford W. Ascherman, MD Professor and Professor, by courtesy, of Mathematics
BioWhat is the mathematical structure of supergravity/string theory and its relation to cosmology?
Professor Kallosh works on the general structure of supergravity and string theory and their applications to cosmology. Her main interests are related to the models early universe inflation and dark energy in string theory. She develops string theory models explaining the origin of the universe and its current acceleration. With her collaborators, she has recently constructed de Sitter supergravity, which is most suitable for studies of inflation and dark energy and spontaneously broken supersymmetry.
She is analyzing possible consequences of the expected new data from the Large Hadron Collider (LHC) and the results of current and future cosmological observations, including Planck satellite CMB data. These results may affect the relationship between superstring theory and supergravity, and the real world. Professor Kallosh works, in particular, on future tests of string theory by CMB data and effective supergravity models with flexible amplitude of gravitational waves produced during inflation. 
Andrea Montanari
Robert and Barbara Kleist Professor in the School of Engineering and Professor of Statistics and, by courtesy, of Mathematics
BioI am interested in developing efficient algorithms to make sense of large amounts of noisy data, extract information from observations, estimate signals from measurements. This effort spans several disciplines including statistics, computer science, information theory, machine learning.
I am also working on applications of these techniques to healthcare data analytics. 
Ravi Vakil
Professor of Mathematics
Current Research and Scholarly InterestsAlgebraic geometry and related subjects. For a complete publication list, see my publication page http://math.stanford.edu/~vakil/preprints.html rather than the list here.

Andras Vasy
Robert Grimmett Professor of Mathematics
Current Research and Scholarly InterestsMy research concentrates on topics in two broad areas of applications of microlocal analysis in which, partly with collaborators, I introduced new ideas in recent years: nonelliptic linear and nonlinear partial differential equations (PDE), typically concerning wave propagation or other related phenomena, and inverse problems for Xray type transforms along geodesics and related problems for determining the metric tensor from boundary measurements.