Alumnae and Alumni

Jose Miguel Figueroa-O'Farrill
Position
Project Professor (from 2009/05/01 to 2009/12/31)
Current Affiliation
Maxwell Institute and School of Mathematics, School of Mathematics, The University of Edinburgh
Professor

URL
http://www.maths.ed.ac.uk/~jmf/
PHOTO

Last Update 2019/05/16

My research may be described as an exploration of the mathematical landscape of M-theory. Much of it deals with supersymmetry, which can be understood as adding extra quantum dimensions to spacetime. The bulk of my work touches upon the gauge/gravity correspondence, most recently on the one associated to M2-branes, whose understanding might shed light on one of the outstanding problems in string theory: to nd a formulation of eleven-dimensional M-theory. Currently I am involved in a research programme based on a recent proposal for a nonabelian theory of membranes. The current view is that membranes are described by three-dimensional superconformal Chern-Simons theories, which can be formulated in terms of somewhat exotic mathematical objects known as 3-algebras. Together with my collaborators I have obtained a number of structure results about these objects and continue to apply them to the study of the superconformal theories.


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