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Physical & Biological Sciences Division
Mathematics Department
Professor
Faculty
Regular Faculty
Mathematics
Partial Differential Equations
McHenry Library
McHenry 4126
Mathematics Department
Francois Monard's work focuses on parameter-reconstruction (“inverse”) problems in PDEs and integral geometry, with applications to imaging sciences. His most recent work is concerned with the inversion of X‑ray/Radon transforms (mappings which integrate a geometric object along a given family of curves) and their generalizations to non‑Euclidean geometries and to the non‑abelian integration of matrix fields.
- Analysis and Spectral Theory: applied functional analysis, microlocal analysis, inverse problems
- Partial Differential Equations: inverse problems for elliptic and transport PDEs, integral geometry
- Applications of Mathematics: mathematical models of imaging sciences, numerical implementations
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