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Mikko Salo is a Professor at the Department of Mathematics and Statistics in the Faculty of Mathematics and Science at the University of Jyväskylä . His research focuses on mathematical analysis , geometry , and applications in inverse problems for partial differential equations. Research Themes : Inverse problems for PDEs (medical imaging), geometric inverse problems (seismic imaging), microlocal analysis, tensor tomography, and non-scattering phenomena. Awards : Recipient of an ERC Starting Grant and an ERC Consolidator Grant . Journals : Managing Editor of Inverse Problems and Imaging , and Editor for Annales Fennici Mathematici , Journal de l'École Polytechnique , and SIAM Journal on Mathematical Analysis . Collaborations : Part of the Finnish Centre of Excellence in Inverse Modelling and Imaging and the Flagship of Advanced Mathematics for Sensing, Imaging and Modelling (FAME) . His recent publications emphasize nonlinear PDEs , fractional calculus , and fixed-angle scattering , with methodological advances in Carleman estimates and microlocal analysis . Scientific contributions include geometric inverse problems on Riemannian manifolds and exponential instability in inverse problems. Teaching spans advanced topics like Fourier analysis , complex analysis , and analysis on manifolds , with lecture notes on inverse problems, function spaces, and microlocal analysis.

• Inverse problems for partial differential equations
• Geometric inverse problems
• Mathematical analysis
• +9 more

Rakesh is a Professor in the Department of Mathematical Sciences at the University of Delaware (UD), part of the College of Arts & Sciences. He holds a BA(Hons) and MA from the University of Delhi, India, and a PhD from Cornell University, USA. His research focuses on inverse problems for hyperbolic partial differential equations (PDEs), including the Fixed Angle Scattering Problem, Backscattering Problem, and Inversion of the Spherical Mean Value Operator. He has also contributed to dynamical systems, geometry, probability, and economics. Education: BA(Hons) in Mathematics, University of Delhi MA in Mathematics, University of Delhi PhD in Mathematics, Cornell University His research emphasizes theoretical and applied aspects of inverse problems, such as uniqueness, stability, and inversion techniques for hyperbolic PDEs. Recent work includes contributions to formally determined inverse problems in Lorentzian and Riemannian geometries. Earlier research included studies on the spherical mean value operator and one-dimensional hyperbolic inverse problems. His publications span over 30 years, addressing topics like wave equation inverse problems, dynamic pricing models, and spectral analysis of Brownian motion. He has been on sabbatical for 2025. Rakesh collaborates internationally, with notable co-authors including Mikko Salo, Gunther Uhlmann, and Paul Sacks. His work bridges pure and applied mathematics, with applications in physics, engineering, and economics.

• Inverse Problems for Hyperbolic PDEs
• Fixed Angle Scattering Problem
• Backscattering Problem
• +5 more