levitin I am Professor of Analysis in Cardiff School of Mathematics and Wales Institute of Mathematical and Computational Sciences.

I am always interested to hear from candidates for a PhD or a postdoctoral position.

Examples of some old and new research are below and elsewhere on this website.

snowflake The image shows the cooling of the triadic von Koch snowflake. The theoretical background can be found in the paper J Fleckinger, M Levitin and D Vassiliev, Heat equation on the triadic von Koch snowflake: asymptotic and numerical analysis, Proc. London Math. Soc. (3) 71 (1995), 372-396.

snowflake The image shows two isospectral boundary value problems for the Laplacian on the half-circles which map into each other under the Dirichlet-Neumann boundary conditions swap, see the paper D Jakobson, M Levitin, N Nadirashvili, and I Polterovich, Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond.