David BeltranI am a Van Vleck Visiting Assistant Professor at the University of WisconsinMadison within the Analysis group.Previously, I was a postdoctoral researcher at the Basque Center for Applied Mathematics (BCAM) in Bilbao (Bilbao Analysis and PDE). I received a P.h.D from the University of Birmingham in Summer 2017 under the supervision of Jonathan Bennett, being a member of the Analysis group. Contact details
Email: dbeltran "at" math "dot" wisc "dot" edu; Address: Department of Mathematics University of WisconsinMadison 480 Lincoln Drive Madison, WI 53706, USA Office: 625 Van Vleck Hall
Phone: +1 (608) 2634700 Teaching
Research interestsMy main research interests lie in the area of Euclidean harmonic analysis and its interactions with dispersive PDE, geometric measure theory and analytic number theory. Particular examples are questions related to the Fourier restriction conjecture, decoupling inequalities, local smoothing estimates, maximal Radon transforms, the Kakeya conjecture and extremisers for Strichartz estimates. I am also interested in the recent developments on sparse operators that have led to optimal results in classical weighted harmonic analysis, in questions related to the regularity of classical maximal functions and in the geometric aspects of oscillatory Fourier multipliers, pseudodifferential operators and Fourier integral operators. Publications and preprints
