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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.

Sunav Choudhary Zemin Zheng Anand Kumar Narayanan Ibrahim Ekren Sushmita Allam
Electrical Engineering Mathematics Computer Science Mathematics Biomedical Engineering
2015 2015 2014 2014 2013
News Events
Shanghua Teng
CAMS board member Shanghua Teng is awarded the 2015 Godel Prize for his work with Dan Spielman on nearly-linear-time Laplacian solvers.
Summer 2015 Friday, May 29, 2015
is awarded the 2015 Godel Prize

Michael Waterman's speech accepting the 2015 Dan David Award in Tel Aviv.
I will address the time dimension and begin with a question: Why was biology so late developing as a science? The ancients had their various explanations for why rocks are immobile while rabbits dash about. Aristotle, as he did with everything, devised...
Summer 2015 Tuesday, May 26, 2015 See full speech...

Fengzhu Sun
CAMS member Fengzhu Sun is selected a fellow of the American Statistical Association in April 2015.
Spring 2015 Wednesday, April 22, 2015
Is selected a fellow of the American Statistical Association.
Upcoming Colloquium
Special Time & Location3:00 PMRTH 217
Phil Holmes Princeton University Monday, November 09 Moving Fast and Slow: Feedforward and feedback control in insect locomotion

I will describe mathematical models for running insects, from an energy-conserving biped, through a muscle-actuated hexapod driven by a neural central pattern generator, to reduced phase-oscillator models that capture the dynamics of noisy gaits and external perturbations, and provide estimates of coupling strengths between legs. I will argue that both simple models and large simulations are necessary to understand biological systems,...

Upcoming Colloquium
3:30 PMKAP 414
Natasa Pavlovic University of Texas Monday, November 16 From quantum many body systems to nonlinear dispersive PDE, and back

The derivation of nonlinear dispersive PDE, such as the nonlinear Schr\"{o}dinger (NLS) from many body quantum dynamics is a central topic in mathematical physics, which has been approached by many authors in a variety of ways. In particular, one way to derive NLS is via the Gross-Pitaevskii (GP) hierarchy, which is an infinite system of coupled linear non-homogeneous PDE that describes the dynamics of a gas of infinitely many interacting...

Past Colloquium
Vlad Vicol Princeton Monday, November 02 The regularity of the 2D Muskat equations with finite slope

We consider the 2D Muskat equation for the interface between two constant density fluids in an incompressible porous medium, with velocity given by Darcy's law. We establish that as long as the slope of the interface between the two fluids remains bounded and uniformly continuous, the solution remains regular. We provide furthermore a global regularity result for small initial data: if the initial slope of the interface is sufficiently...

Past Colloquium
Richard Schoen Stanford University and UCI Monday, October 19 Optimal geometries on surfaces

The problem of finding surface geometries (metrics) of a given area which maximize their lowest eigenvalue has been studied for over 50 years. Despite some spectacular successes the problem is still not well understood for most surfaces. In this Colloquium, we will describe this question and the results which have been obtained including very recent progress.