Home  /  Inverse problems and applications


Inverse Problems and Applications August 16, 2027 to December 17, 2027
Organizers Fioralba Cakoni (Rutgers University), Maarten de Hoop (Rice University), Anna Gilbert (Yale University), Katya Krupchyk (University of California, Irvine), Matti Lassas (University of Helsinki), LEAD Gunther Uhlmann (University of Washington)
Nature feb 2017
Inverse problems (IP) arise in all fields of science and technology where a cause for an observed or desired effect is sought. In the last 50 years or so there has been substantial progress in the mathematical understanding of these problems but many questions remain open. The mathematics of these problems involves many areas in Mathematics including PDE, differential geometry, integral geometry, probability, statistics, complex analysis, numerical analysis, mathematical physics, data science, etc. Since the 2010 program at the then-Mathematical Sciences Research Institute (now Simons Laufer Mathematical Sciences Institute), there has been significant progress in inverse problems; many of the advances can be traced back to that program. However, there are still deep open questions remaining as well, some of which are discussed in this proposal. New research topics include the connection between IP and machine learning, IP for nonlinear equations, IP for nonlocal operators, and connections between statistics and IP.
Keywords and Mathematics Subject Classification (MSC)
  • inverse problems

  • Microlocal analysis

  • partial differential equations

  • Calder´on’s problem

  • lens and boundary rigidity

  • scattering theory

  • transmission eigenvalues

  • resonances

  • quantum chaos

  • singular spaces

  • general relativity

  • quantum field theory

  • and machine learning.

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Logistics Program Logistics can be viewed by Members. If you are a program member then Login Here.
Programmatic Workshops Workshop dates have not yet been selected