Mailing Address:
School of Mathematics The University of Edinburgh James Clerk Maxwell Building, Rm 4609 The King's Buildings, Peter Guthrie Tait Road Edinburgh, EH9 3FD, United Kingdom 
duck or rabbit? 
Oct. 2007 Also, niece & nephew, Aug. 2014 Mar. 2013, Oct. 2012, Dec. 2011 

Spring 16:  Nonlinear Schrödinger Equations (MATH11137),
Dispersive Equations (MIGSAA advanced Ph.D. course):
Course webpage
tutorials for Fundamentals of Pure Mathematics (FPM, MATH08064, 2 sections) 
Fall 14:  Introduction to Linear Algebra (ILA, MATH08057)
tutorials for ILA (3 sections), Facets of Mathematics (MATH08068) 
Spring 14:  tutorials for Proofs and Problem Solving (PPS, MATH08059, twohour tutorial), Fourier Analysis (MATH10058), Honours Analysis (MATH10068, onehour tutorial + twohour Skills workshop) 
Fall 13:  tutorials for Introduction to Linear Algebra (ILA, MATH08057, 2 sections), Accelerated Proofs and Problem Solving (APPS, MATH08071), Hilbert spaces (MATH10046) 
Nonlinear Partial Differential Equations and Harmonic Analysis. In particular, study of (deterministic and stochastic) nonlinear dispersive Hamiltonian PDEs, using the techniques from PDEs, nonlinear Fourier analysis, and probability. Mainly, short and long time behavior of solutions such as wellposedness (existence, uniqueness, and stability of solutions) in both deterministic and probabilistic settings, existence of invariant measures and their properties, solitons, growth of higher Sobolev norms related to weak turbulence, etc. Also, interested in multilinear integral/pseudodifferential operators.Seminars: Analysis Seminar, UoE seminars, ICMS events, London Analysis and Probability Seminar, ParisLondon Analysis Seminar