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 |
Summer 23: | Bi-parameter paracontrolled approach to stochastic wave equations (informal advanced Ph.D. course): Course webpage |
Spring 22: | Stochastic PDEs with multiplicative noises (advanced Ph.D. course): Course webpage |
Fall 21: | Reading course on "Nonlinear Schrödinger Equations'' (MATH11114) |
Spring 21: | Singular stochastic dispersive PDEs (MIGSAA advanced Ph.D. course): Course webpage |
Spring 20: | Nonlinear Schrödinger Equations (MATH11137)
Rough path theory and pathwise well-posedness of stochastic PDEs (MIGSAA advanced Ph.D. course): Course webpage |
Spring 19: | Two-dimensional statistical hydrodynamics (MIGSAA advanced Ph.D. course): Course webpage |
Spring 18: | Nonlinear Schrödinger Equations (MATH11137),
Dispersive Equations (MIGSAA advanced Ph.D. course):
Course webpage
tutorials for Fundamentals of Pure Mathematics (FPM, MATH08064) |
Fall 17: | tutorials for Honours Differential Equations (HDEq, MATH10066) |
Spring 17: |
Probabilistic Perspectives in Nonlinear Dispersive PDEs (MIGSAA advanced Ph.D. course):
Course webpage
tutorials for Fundamentals of Pure Mathematics (FPM, MATH08064) |
Fall 16: | tutorials for Honours Differential Equations (HDEq, MATH10066, 2 sections) |
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, two-hour tutorial), Fourier Analysis (MATH10058), Honours Analysis (MATH10068, one-hour tutorial + two-hour 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 well-posedness (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, HWU Analysis Seminar, NBPS, UoE seminars, UoE calendar MI events, ICMS events, London Analysis and Probability Seminar, Paris-London Analysis Seminar
• For published papers, please obtain copies from corresponding journals; see MathSciNet (old version) for the published papers. Preprints on arXiv may not be up-to-date.
• For recent open access papers, there are links to both the published and arXiv versions.