Applied Analysis & PDEs Lab

“The theory of partial differential equations has been studied incessantly for more than two centuries. By reason of its permanent symbiosis with almost all parts of physics, as well as its ever closer connections with many other branches of mathematics, it is one of the largest and most diverse regions of present-day mathematics, and the vastness of its bibliography defies the imagination.”

—Jean Dieudonné, A panorama of pure mathematics (as seen by N. Bourbaki), Academic Press, 1982.


“It is always a bit difficult to predict the future and it is particularly difficult to predict the future of applied mathematics because it is hard to even define what is meant by applied mathematics. […] I feel that applied mathematics must be mathematics that is being actively applied to some problem outside of mathematics…”

—Clyde F. Martin, Applied mathematics as an interdisciplinary subject. In Current and future directions in applied mathematics, edited by Bei Hu, Joachim Rosenthal, and Mark Alber, Springer, 2012, p. 31.


“Coming together is a beginning. Keeping together is progress. Working together is success.”
—attributed to Henry Ford


The research setting I develop, taken as a whole, may be referred to as the Applied Analysis and Partial Differential Equations Lab.

While this denomination is purely informal and does not correspond to an official administrative or organizational unit, it provides a simple reference for research themes and interactions.