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

Calculus and the study of real and complex continuous functions represent some of science's most remarkable accomplishments. Modern mathematical analysis builds upon this foundation, expanding its scope and capabilities. Faculty members have significantly progressed in developing methods to examine different classes of partial differential equations, revealing insights about their solution properties.

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).