PhD in Pure Mathematics - Analysis and PDEs in Cambridge United States | Massachusetts Institute of Technology

Calculus along with the study of real and complex continuous functions represents one of science's most remarkable accomplishments. Modern mathematical analysis builds upon this foundation, pushing the boundaries to achieve broader applications and deeper insights. Faculty members have made significant progress in refining methods for examining different classes of partial differential equations, revealing fundamental properties of their solutions.

The analysis research team explores free boundary challenges, wave propagation equations, and microlocal analysis with uses in differential geometry and theoretical physics (including index theory).