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 had helped organize the Mathematical Physics Seminar in Trento. It has been on hiatus, but has been recently revived here.
Contact
Last updated: 24 Jan 2017
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

An ideal characterization of FriedmannLemaîtreRobertsonWalker spacetimes
G. Canepa, I. Khavkine

Lie nalgebras of higher Noether currents
I. Khavkine, U. Schreiber

De Donder gauge graviton propagator on a spherically symmetric black hole spacetime
F. Bussola, I. Khavkine

Synthetic geometry of differential equations: I. Jets and comonad structure
I. Khavkine, U. Schreiber (2017)
[arXiv, nLab]

A polynomial action for gravity with matter, gaugefixing and ghosts
I. Khavkine (2015)
[arXiv]

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

The Calabi complex and Killing sheaf cohomology
I. Khavkine
J Geom Phys (online first; 2016)
[arXiv,
doi]

Cohomology with causally restricted supports
I. Khavkine
Ann H Poincaré 17 3577 (2016)
[arXiv,
doi]

Analytic dependence is an unnecessary requirement in
renormalization of locally covariant QFT
I. Khavkine, V. Moretti
Commun Math Phys 344 581 (2016)
[arXiv,
doi]

Local and gauge invariant observables in gravity
I. Khavkine
Class Quant Grav 32 185019 (2015)
[slides, arXiv, doi]

Recurrence relation for the 6jsymbol of su_{q}(2) as a symmetric eigenvalue problem
I. Khavkine
Int J Geom Methods Mod Phys 12 1550117 (2015)
[arXiv, doi]

Algebraic QFT in curved spacetime and quasifree Hadamard states: an introduction
I. Khavkine, V. Moretti
Book chapter in Advances in Algebraic Quantum Field Theory, R. Brunetti, C. Dappiaggi, K. Fredenhagen, J. Yngvason (eds.) (Springer, 2015)
[arXiv, doi]

Topology, rigid cosymmetries and linearization instability in higher gauge theories
I. Khavkine
Ann H Poincaré 16 255 (2015)
[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

A presentation ( slides) of selected aspects and projects from my research program. (in French)






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