Fioralba Cakoni
Mathematical Aspects of Inverse and Imaging Problems
Inverse and imaging problems arise in many applications from life sciences and engineering. These are problems where causes for a desired or an observed effect are to be determined.
Through some fundamental and contemporary examples of inverse and imaging problems, this course aims to introduce students to the rich mathematical and computational aspects of this area. Some of the examples to be discussed in this course include inverse spectral problems, inverse integral geometry, inverse problems for partial differential equations such as the Calderon problem and inverse scattering.
Lecture notes and reading material will be provided during the course
Real Analysis (equivalent to Math 501), introductory Functional Analysis (at least what is covered in Math 502), introductory Partial Differential Equations (equivalent to math 517), basis Fourier Analysis (at least what is covered in Math 502).