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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
David Levermore University of Maryland Monday, November 10 Scattering Theory for the Boltzmann Equation and the Arrow of Time (joint work with Claude Bardos, Irene Gamba, and Francois Golse)

We develop a scattering theory for a class of eternal solutions of the Boltzmann equation posed over all space. In three spatial dimensions each of these solutions has thirteen conserved quantities. The Boltzmann entropy has a unique minimizer with the same thirteen conserved values. This minimizer is a local Maxwellian that is also a global solution of the Boltzmann equation --- a so-called global Maxwellian. We show that each...

Upcoming Colloquium
3:30 PMKAP 414
Inwon Kim UCLA Monday, November 17 Congested crowd motion and Quasi-static evolution

In this talk we investigate the relationship between a quasi-static evolution and a transport equation with a drift potential, where the density is transported with a constraint on its maximum. The latter model, in a simplified setting, describes the congested crowd motion with a density constraint. When the drift potential is convex, the crowd density is likely to aggregate, and thus if the initial density starts as a patch (i.e....

Upcoming Colloquium
Special Time3:00 PMKAP 414
Ngoc Mai Tran University of Texas Friday, November 21 Special Colloquium: Random permutations and random partitions

I will talk about various problems related to random permutations and random partitions. In particular, I discuss size-biased permutations, which have applications to statistical sampling. Then I will talk about random partitions obtained from projections of polytopes. These are related to random polytopes and zeros of random tropical polynomials.

Upcoming Colloquium
Special Time4:30 PMKAP 414
Joseph Neeman University of Texas Friday, November 21 Special Colloquium: Gaussian noise stability

Given two correlated Gaussian vectors, X and Y, the noise stability of a set A is the probability that both X and Y fall in A. In 1985, C. Borell proved that half-spaces maximize the noise stability among all sets of a given Gaussian measure. We will give a new, and simpler, proof of this fact, along with some extensions and applications. Specifically, we will discuss hitting times for the Ornstein-Uhlenbeck process, and a noisy...