Francois Monard

User Francois Monard

User Associate Professor

User831-459-1525

User fmonard@ucsc.edu

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Physical & Biological Sciences Division

Associate Professor

Faculty

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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

Last modified: Aug 06, 2025