Suresh Eswarathasan

McGill University, Department of Mathematics

I am a 2014-2015 postdoctoral fellow under the guidance of Dmitry Jakobson, Iosif Polterovich, and John Toth.

During the 2013-2014 academic year, I was a member of the IHES in France.

During the 2011-2013 academic year, I enjoyed a CRM-ISM postdoctoral fellowship and a postdoctoral fellowship at McGill University. My PhD adviser at the University of Rochester was Allan Greenleaf.

In the Fall of 2015, I will begin a Lecturer (assistant professor) position at the School of Mathematics at Cardiff University in Wales, UK.

Email: suresh 'at' math.mcgill.ca

My research interests are in microlocal analysis and partial differential equations. I am currently working on projects in spectral theory, geometric measure theory, and dynamical systems.

Here is my curriculum vitae

Research

Microlocal analysis of scattering data for nested conormal potentials, Ph.D. thesis, Journal of Functional Analysis 262 (5), 2100-2141 (2012).

Fourier integral operators, fractal sets, and the regular value theorem (with Alex Iosevich and Krystal Taylor), Advances in Mathematics 228, (4), 2385-2402 (2011).

Average pointwise bounds for deformations of Schrodinger eigenfunctions (with John Toth), Annales Henri Poincare 14, (3), 611-637 (2012).

Smooth billiards with a large Weyl remainder (with Iosif Polterovich and John Toth), accepted (with minor revisions) to International Mathematics Research Notices.

Intersections of sets, diophantine equations, and Fourier analysis (with Alex Iosevich and Krystal Taylor), to appear in Journal d'Analyse Mathematique (2014).

Expected values of eigenfunction periods, to appear in Journal of Geometric Analysis (2014).

Perturbations of the semiclassical Schrodinger equation on negatively curved surfaces (with Gabriel Riviere), submitted.

Strong scarring and closed hyperbolic trajectories (with Stephane Nonnenmacher), preprint available upon request.

Teaching

Summer 2012: MATH 315

Fall 2012: Honors section of MATH 242; it was a pleasure to have taught with Ivo Klemes.

Summer 2013: MATH 262

Summer 2015: MATH 222