Hisham Sati (faculty page) 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 an associate professor of mathematics at NYU Abu Dhabi.
From his cached Pitt faculty page:
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
H. S., Framed M-branes, corners, and topological invariants, J. Math. Phys. 59 (2018), 062304 (arXiv:1310.1060)
(on the Hopf-Wess-Zumino term of the M5-brane, cohomotopy in the 11d supergravity equations of motion and …)
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)
H. S. , Ninebrane structures (arXiv:1405.7686)
(on ninebrane structures)
John Lind, Hisham Sati, Craig Westerland, A higher categorical analogue of topological T-duality for sphere bundles (arXiv:1601.06285)
(on spherical T-duality)
Domenico Fiorenza, Hisham Sati, Urs Schreiber, T-Duality from super Lie n-algebra cocycles for super p-branes, ATMP Volume 22 (2018) Number 5 (arXiv:1611.06536)
Discussion of twisted differential K-theory and its relation to D-brane charge in type II string theory (see also there):
Discussion of twisted differential orthogonal K-theory and its relation to D-brane charge in type I string theory (on orientifolds):
On (co-)homotopical foundations of M-theory:
Domenico Fiorenza, Hisham Sati, Urs Schreiber The rational higher structure of M-theory, Proceedings of the LMS-EPSRC Durham Symposium: Higher Structures in M-Theory, August 2018. Fortschritte der Physik, 2019 (doi:10.1002/prop.201910017, arXiv:1903.02834)
Domenico Fiorenza, Hisham Sati, Urs Schreiber, Twisted Cohomotopy implies M-theory anomaly cancellation (arXiv:1904.10207)
Last revised on June 9, 2019 at 19:16:38. See the history of this page for a list of all contributions to it.