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Welcome to CAMS

The Center for Applied Mathematical Sciences is an organized research unit based in the Department of Mathematics at USC. The purpose of CAMS is to foster research and graduate education in Mathematics in a broad sense and in an interdisciplinary mode. One goal of the center's participants is to facilitate and encourage the development of applicable mathematics and its utilization in problems in engineering and the sciences.

The mission of the Center is threefold.
  1. To maintain USC's position as an internationally-recognized center in several important and well defined areas of mathematics and its applications
  2. To be a much-needed interface between the Department of Mathematics and other USC departments and institutions outside USC.
  3. To serve as a catalyst in the development of state-of-the-art activities in applicable mathematics at USC.

CAMS Prize Winners

Winners of the CAMS Graduate Student Prize for Excellence in Research with a Substantial Mathematical Component.

Anand Kumar Narayanan Ibrahim Ekren Sushmita Allam Wan-Jung Kuo Yang Huang
Computer Science Mathematics Biomedical Engineering Physics Mathematics
2014 2014 2013 2012 2012
News Events
Shang-Hua Teng
Member of the CAMS Board receives a five year, $500,000 Simons Investigator award from the Simons Foundations.
Summer 2014 Thursday, July 24, 2014
Shang-Hua Teng receives a prestigious Simons Foundation Award

The 2014 CAMS Prize Winners

Summer 2014 Tuesday, May 27, 2014
plus the selection committee

Michael Waterman
Member of the CAMS Board is elected Member of the Chinese Academy of Sciences in 2014.
Spring 2014 Thursday, January 23, 2014
Member of the CAMS Board is elected Member of the Chinese Academy of Sciences in 2014.
Upcoming Colloquium
3:30 PMKAP 414
Nets Katz Caltech Monday, October 13 On the three dimensional Kakeya problem

We discuss new ideas for obtaining lower bounds on the Hausdorff dimension of Kakeya sets. We discuss joint work in progress with Josh Zahl.
Sometimes less is more.

Upcoming Colloquium
3:30 PMKAP 414
Charles Doering University of Michigan Monday, October 20 Wall to wall optimal transport

How much stuff can be transported by an incompressible flow containing a specified amount of kinetic energy or enstrophy? We study this problem for steady 2D flows focusing on passive tracer transport between two parallel impermeablewalls, employing the calculus of variations to find divergence-free velocity field with a given intensity budget that maximize transport between the walls. The maximizing velocity fields, i.e. the optimal...

Upcoming Colloquium
3:30 PMKAP 414
Tristan Buckmaster Courant Institute Monday, October 27 Onsager's Conjecture

In 1949, Lars Onsager in his famous note on statistical hydrodynamics conjectured that weak solutions to the Euler equation belonging to Hölder spaces with Hölder exponent greater than 1/3 conserve energy; conversely, he conjectured the existence of solutions belonging to any Hölder space with exponent less than 1/3 which dissipate energy. The first part of this conjecture has since been confirmed (cf. Eyink 1994, Constantin, E and...

Upcoming Colloquium
3:30 PMKAP 414
Michael Wolf University of Zurich Monday, November 03 Spectrum Estimation: A Unified Framework for Covariance Matrix Estimation and PCA in Large Dimensions

Covariance matrix estimation and principal component analysis (PCA) are two cornerstones of multivariate analysis. Classic textbook solutions perform poorly when the dimension of the data is of a magnitude similar to the sample size, or even larger. In such settings, there is a common remedy for both statistical problems: nonlinear shrinkage of the eigenvalues of the sample covariance matrix. The optimal nonlinear shrinkage formula...