Analysis and Partial Differential Equations

Analysis is the study of sequences and functions and their main mathematical properties such as convergence, continuity, and integrability.  These concepts underpin the theory of calculus with numerous applications in engineering and the natural sciences.  An important field within analysis is the study of partial differential equations (PDE), which are equations for functions of several variables and their respective derivatives.  The research group in MSCS is particularly interested in PDE arising from fluid dynamics or quantum mechanics, as well as in harmonic analysis and integrable systems.  Connections to probability theory and computational mathematics are also explored.

Faculty

Upcoming Seminars

Feb 23 2026

Analysis and Applied Mathematics Seminar: Nodal sets and observability via quantitative unique continuation, by Linfeng Li

Monday, 4:00 pm–4:50 pm
Zoom
Mar 9 2026

Analysis and Applied Mathematics Seminar: TBA, by Francis Aznaran

Monday, 4:00 pm–4:50 pm
636 SEO
Mar 16 2026

Analysis and Applied Mathematics Seminar: TBA, by Michael Novack

Monday, 4:00 pm–4:50 pm
636 SEO
Mar 30 2026

Analysis and Applied Mathematics Seminar: tba, by Alexey Cheskidov

Monday, 4:00 pm–4:50 pm
636 SEO
Apr 20 2026

Analysis and Applied Mathematics Seminar: TBA, by Martina Bukac

Monday, 4:00 pm–4:50 pm
636 SEO