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Personal profile

Research interests

Research interests Mathematical Physics, including string theory, quantum field theory, quantum gravity Noncommutative geometry and field theory, K-theory, algebraic geometry, higher structures and category theory

Biography

I was born in Montreal, Canada and completed a Joint Honours Mathematics & Physics BSc degree at McGill University in 1990. I did my MSc and PhD degrees in Theoretical Physics at the University of British Columbia under the supervision of Gordon Semenoff. I then did postdoc stints at Oxford University in 1995 and the Niels Bohr Institute in 1998, before settling permanently at Heriot-Watt in 2000. My research centres around the applications of geometrical and topological methods to problems in quantum field theory and string theory, focusing in particular on techniques drawn from K-theory, noncommutative geometry and algebraic geometry.

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Research Output 1996 2019

Geometry and 2-Hilbert space for nonassociative magnetic translations

Bunk, S., Müller, L. & Szabo, R. J., 21 Jan 2019, In : Letters in Mathematical Physics. p. 1-40 40 p.

Research output: Contribution to journalArticle

Gerbe
Bundle
Hilbert space
Quantization
Gerbes

Sasakian quiver gauge theories and instantons on cones over round and squashed seven-spheres

Geipel, J. C., Lechtenfeld, O., Popov, A. D. & Szabo, R. J., 21 Mar 2019, In : Nuclear Physics B. 942, p. 103-148 46 p.

Research output: Contribution to journalArticle

Open Access
File
Quiver
Instantons
Gauge Theory
Moduli Space
Cone

AKSZ Constructions for Topological Membranes on G2-Manifolds

Kökényesi, Z., Sinkovics, A. & Szabo, R. J., 29 Mar 2018, In : Fortschritte der Physik. 66, 3, 1800018

Research output: Contribution to journalArticle

Open Access
File
membranes
brackets
structural analysis
string theory
quantum mechanics

Double field theory and membrane sigma-models

Chatzistavrakidis, A., Jonke, L., Khoo, F. S. & Szabo, R. J., Jul 2018, In : Journal of High Energy Physics. 2018, 7, 15

Research output: Contribution to journalArticle

Open Access
File
membranes
formulations
gauge invariance
geometry
structural analysis

Double Field Theory for the A/B-Models and Topological S-Duality in Generalized Geometry

Kökényesi, Z., Sinkovics, A. & Szabo, R. J., 9 Oct 2018, In : Fortschritte der Physik. 1800069

Research output: Contribution to journalArticle

Open Access
File
geometry
membranes
formulations