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.
 To maintain USC's position as an internationallyrecognized center in
several important and well defined areas of mathematics and its applications
 To be a muchneeded interface between the Department of Mathematics and
other USC departments and institutions outside USC.
 To serve as a catalyst in the development of stateoftheart
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 





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 energyconserving biped, through a muscleactuated hexapod driven by a neural central pattern generator, to reduced phaseoscillator 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 GrossPitaevskii (GP) hierarchy, which is an infinite system of coupled linear nonhomogeneous 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.



