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.
I help organize the Mathematical Physics Seminar in Trento.
Contact
Last updated: 19 Dec 2014
Curriculum Vitae
Full CV as a PDF file.
Papers & Talks
Almost all of my papers are available from the
arXiv preprint server.
Preprints and in preparation

Algebraic QFT in curved spacetime and quasifree Hadamard states: an introduction
I. Khavkine, V. Moretti (2014)
[arXiv]

Continuous and analytic dependence is an unnecessary requirement in
renormalization of locally covariant QFT
I. Khavkine, V. Moretti (2014)
[arXiv]

The Calabi complex and Killing sheaf cohomology
I. Khavkine (2014)
[draft online, arXiv]

Cohomology with causally restricted supports
I. Khavkine (2014)
[arXiv]

Characteristics, Conal Geometry and Causality in Locally Covariant Field Theory
I. Khavkine
(2012) [arXiv]

Recurrence relation for the 6jsymbol of su_{q}(2) as a symmetric eigenvalue problem
I. Khavkine
(2010) [arXiv]
Published

Topology, rigid cosymmetries and linearization instability in higher gauge theories
I. Khavkine
Ann H Poincaré, online first (2014)
[arXiv, doi]

Covariant phase space, constraints, gauge and the Peierls formula
I. Khavkine
Int J Mod Phys A 29 1430009 (2014)
[arXiv, doi]

Quantum astrometric observables II: time delay in linearized quantum gravity
B. Bonga, I. Khavkine
Phys Rev D 89 024039 (2014)
[arXiv, doi]

Presymplectic current and the inverse problem of the calculus of variations
I. Khavkine
J Math Phys 54 111502 (2013)
[arXiv, doi]

Quantum astrometric observables I: time delay in classical and quantum gravity
I. Khavkine
Phys Rev D 85 124014 (2012)
[arXiv, doi]

Comment on `Hawking radiation from fluctuating black holes'
I. Khavkine
Class Quant Grav 28 038001 (2011)
[arXiv, doi]

Coupling a PointLike Mass to Quantum Gravity with Causal Dynamical Triangulations
I. Khavkine, R. Loll, P. Reska
Class Quant Grav 27 185025 (2010)
[arXiv, doi]

Subleading asymptotic behaviour of area correlations in the BarrettCrane model
J.D. Christensen, I. Khavkine, E.R. Livine, S. Speziale
Class Quant Grav 27 035012 (2010)
[arXiv, doi]

Evaluation of new spin foam vertex amplitudes
I. Khavkine
Class Quant Grav 26 125012 (2009)
[arXiv, doi]

Dual Computations of Nonabelian YangMills on the Lattice
J.W. Cherrington, J.D. Christensen, I. Khavkine
Phys Rev D 76 094503 (2007)
[arXiv, doi]

qDeformed spin foam models of quantum gravity
I. Khavkine, J.D. Christensen
Class Quant Grav 24 3271 (2007)
[arXiv, doi]

Supercurrent in Nodal Superconductors
I. Khavkine, H.Y. Kee, K. Maki
Phys Rev B 70 184521 (2004)
[arXiv, doi]

Formation of Electronic Nematic Phase in Interacting Systems
I. Khavkine, C.H. Chung, V. Oganesyan, H.Y. Kee
Phys Rev B 70 155110 (2004)
[arXiv, doi]

Strongfield molecular alignment for quantum logic and quantum control
E.A. Shapiro, I. Khavkine, M. Spanner, and M.Yu. Ivanov
Phys Rev A 67 013406 (2003)
[doi]
Talks





Talk ( slides) given at the LOOPS'07 conference (25 – 30 Jun 2007), Morelia, Mexico.
