Graduate Students
Center for           Nonlinear Analysis
CNA Home People Seminars Publications Workshops and Conferences CNA Working GroupsCNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact
SIAM Student Chapter


Welcome to the Center for Nonlinear Analysis

The Center for Nonlinear Analysis (CNA) is an international resource for research and training in applied mathematics. Established in 1991 with ARO and NSF funding, it continues with major support from the NSF.

The goals of the CNA are:

  • To identify cutting-edge mathematical questions in science and engineering, including materials science and biotechnology, to highlight emerging areas in mathematics deriving from applications, and to develop new applications of mathematical sciences;
  • To maintain its position as a worldwide asset for the education of young investigators cognizant of research opportunities at the broad interface between mathematics and physical sciences and engineering.

Main areas of research at the CNA are Calculus of Variations, Partial Differential Equations, Numerical Analysis and Scientific Computation. A primary focus for CNA involvement in applications is in materials, and increasingly in the life sciences.

The CNA's activities include:

  • a RTG (Research Training Grant) graduate student training program;
  • PIRE: Science at the triple point between mathematics, mechanics and materials science ;
  • two and three-year postdoctoral training programs;
  • working groups and topics courses targeted to advanced graduate students and postdoctoral fellows;
  • a visitors program;
  • a research publications series;
  • organization of conferences and workshops;
  • organization of Summer Schools targeted to advanced PhD students, postdoctoral fellows and other young researchers;
  • a major internationalization program emphasizing the creation of collaborative research networks;
  • the Summer Undergraduate Applied Mathematics Institute, under the direction of Deborah Brandon, which targets minorities and women with the goal of recruiting them to pursue graduate study in applied mathematics.

The Director of the CNA is Irene Fonseca, and the Associate Director is Dejan Slepčev. The other permanent members of the CNA are Gautam Iyer, David Kinderlehrer, Giovanni Leoni, Robert Pego, Shlomo Ta'asan, Ian Tice, and Noel Walkington.

The Department of Mathematical Sciences in Carnegie Mellon University anticipates to make a two-year postdoctoral appointment in applied analysis, probability and stochastic analysis beginning September 2015, under the ICTI CMU|Portugal Program in Applied Mathematics.
The Center for Nonlinear Analysis anticipates making Postdoctoral appointments possibly beginning September 2015 in applied analysis in the general areas of nonlinear partial differential equations, calculus of variations, and their applications. Applications are due on or before January 15, 2015. Review of applications will begin on September 1, 2014, and will continue until the positions are filled.
Applications are invited for one postdoctoral position at the Department of Mathematical Sciences in Carnegie Mellon University, partly funded by the NSF PIRE award Science at the Triple Point Between Mathematics, Mechanics and Materials Science possibly beginning September 2015.
From Grain Boundaries to Stochastic Homogenization
University of Leipzig, Germany, July 20 - 23, 2015
Organizers: Irene Fonseca, Richard James, Stephan Luckhaus, Felix Otto and Peter Smereka
Dates: May 26 - July 21, 2015
Carnegie Mellon University will offer a summer program for twelve undergraduates considering research careers in mathematical sciences. Students who have finished their sophomore or junior years and who have strong academic records will be given preference. Among applicants who are otherwise comparable, admission to the program will be designed to create an ethnically diverse group of participants. Applications from women and minorities are especially encouraged.