Hisham Sati (website) is working on non-perturbative phenomena in string theory/M-theory using tools of cohomology, homotopy theory, algebraic topology and higher category theory. His thesis advisor was Michael Duff.
Hisham Sati is assistant professor in the Mathematics Department at Pittsburgh University.
From his website:
My research is interdisciplinary and lies in the intersection of differential geometry, algebraic topology, and mathematical/theoretical physics. I am mainly interested in geometric and topological structures arising from quantum (topological) field theory, string theory, and M-theory. This includes orientations with respect to generalized cohomology theories, and corresponding description via higher geometric, topological, and categorical notions of bundles.
Hisham Sati, Geometric and topological structures related to M-branes ,
part I, Proc. Symp. Pure Math. 81 (2010), 181-236 (arXiv:1001.5020),
part II: Twisted $String$ and $String^c$ structures, J. Australian Math. Soc. 90 (2011), 93-108 (arXiv:1007.5419);
part III: Twisted higher structures, Int. J. Geom. Meth. Mod. Phys. 8 (2011), 1097-1116 (arXiv:1008.1755)
on cohomology and twisted cohomology structures in string theory/M-theory. See also twisted smooth cohomology in string theory.
on the Diaconescu-Moore-Witten anomaly interpreted in integral Morava K-theory:
H.S., Craig Westerland, Twisted Morava K-theory and E-theory (arXiv:1109.3867)
(this is followed up on in remark 5.4.12 in Hopkins, Lurie, Ambidexterity in K(n)-Local Stable Homotopy Theory )
On F4 and Cayley plane-fiber bundles in M-theory:
On mathematical foundations of quantum field theory and perturbative string theory:
H.S., Urs Schreiber, Mathematical Foundations of Quantum Field and Perturbative String Theory, Proceedings of Symposia in Pure Mathematics, volume 83 AMS (2011)
H. S., Urs Schreiber, Jim Stasheff, L-∞ algebra connections in Quantum Field Theory, Birkhäuser (2009), 303-424, DOI: 10.1007/978-3-7643-8736-5_17 (publisher link, arXiv:0801.3480)
H. S. , Urs Schreiber, Jim Stasheff, Twisted Differential String and Fivebrane Structures Communications in Mathematical Physics October 2012, Volume 315, Issue 1, pp 169-213 (arXiv:0910.4001)
H. S. , Urs Schreiber, Jim Stasheff Fivebrane structures Rev. Math. Phys.21:1197-1240 (2009) (arXiv:0805.0564)
Domenico Fiorenza, H. S., Urs Schreiber, 7d Chern-Simons theory and the 5-brane (arXiv:1201.5277)
Domenico Fiorenza, H. S. , Urs Schreiber, The moduli 3-stack of the C-field (arXiv:1202.2455)
Domenico Fiorenza, H. S. , Urs Schreiber, Extended higher cup-product Chern-Simons theories Journal of Geometry and Physics Volume 74, 2013, Pages 130–163 (arXiv:1207.5449)
Domenico Fiorenza, H. S. , Urs Schreiber, A higher stacky perspective on Chern-Simons theory (arXiv:1301.2580) in Damien Calaque et al. (eds.) Mathematical Aspects of Quantum Field Theories Springer 2014
Domenico Fiorenza, H. S., Urs Schreiber, Super Lie n-algebra extensions, higher WZW models and super p-branes with tensor multiplet fields (arXiv:1308.5264)
H. S., Framed M-branes, corners, and topological invariants (arXiv:1310.1060)