My research concerns the mathematical aspects of classical and quantum field theory, with a particular emphasis on gravity (general relativity). On the physics side, I am interested in the formulation of quantum gravity as a field theory, focusing on the problems of causality and observables in quantum gravity. I am also interested in various mathematical topics that play a role in my work, including the following: geometry of PDEs, jet bundles, conservation laws, symmetries, symplectic and Poisson geometry, homological algebra, supergeometry, infinite dimensional analysis, synthetic differential geometry, category theory.
Contact
Address: |
Igor Khavkine Department of Mathematics, University of Trento Via Sommarive, 14 38123 Povo (TN), Italy |
Email: | igor.khavkine@unitn.it |
Web: | http://www.science.unitn.it/~khavkine/ |
Last updated: 26 Sep 2014
Curriculum Vitae
Full CV as a PDF file.
Postdoc: 2013– |
Researcher at the Department of Mathematics, University of Trento. |
Postdoc: 2009–2013 |
Researcher at the Institute for Theoretical Physics, Utrecht University, in the former Quantum Gravity group of Dr. Renate Loll. Funding: NSERC PDF, NWO VENI fellowship. |
PhD: 2004–2008 |
Degree in Applied Mathematics and Theoretical Physics from The University of Western Ontario, under the supervision of Dr. J. Daniel Chirstensen. Title: Computer simulation of spin foam models of quantum gravity |
MSc: 2002–2004 |
Degree in Theoretical Physics from The University of Toronto, under the supervision of Dr. Hae-Young Kee. Title: Formation of electronic nematic phase in interacting systems |
BSc: 1999–2002 |
Degree in Theoretical Physics from Concordia University, Montreal. |