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 have helped organize the minisymposium QFT
Day in Milan: mathematical aspects of renormalization (poster PDF, SVG). I had helped organize the Mathematical Physics Seminar in Trento. It
has been on hiatus, but has been recently revived here.
Contact
Address:

Igor Khavkine
Institute of Mathematics, AS ČR
Žitná 25
115 67 Praha 1
Czech Republic

Email:

khavkine@math.cas.cz, igor.kh@gmail.com

Web:

http://users.math.cas.cz/~khavkine/

Last updated: 30 Jul 2018
Curriculum Vitae
Full CV as a PDF file.
Qualification:

MCF25 (Mathématiques Pures)

Abilitazione:

II Fascia – 01/A4, MAT/07 (Fisica Matematica)

Staff Researcher:
2017–

Department of Algebra, Geometry and Mathematical Physics at the Institute of Mathematics of the Czech Acadey of Sciences (Prague, Czech Republic).

Postdoc:
2016–2017

Researcher at the Department of
Mathematics, University of Milan (Statale).

Postdoc:
2016–2016

Researcher at the Department of
Mathematics, University of Rome 2 (Tor Vergata).

Postdoc:
2013–2015

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. HaeYoung
Kee. Title: Formation of electronic nematic phase in interacting systems

BSc:
1999–2002

Degree in Theoretical Physics from Concordia University, Montreal.

Papers & Talks
Almost all of my papers are available from the
arXiv preprint server.
Preprints and in preparation

IDEAL characterization of higher dimensional spherically symmetric black holes
I. Khavkine (2018)
[arXiv]

Compatibility complexes of overdetermined PDEs of finite type, with applications to the Killing equation
I. Khavkine (2018)
[arXiv]

Reducing triangular systems of ODEs with rational coefficients, with applications to coupled ReggeWheeler equations
I. Khavkine (2018)
[arXiv]

On Wick polynomials of boson fields in locally covariant algebraic QFT
I. Khavkine, A. Melati, V. Moretti (2017)
[arXiv]

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

Approaches to linear local gaugeinvariant observables in inflationary cosmologies
M.B. Fröb, T.P. Hack, I. Khavkine
Class Quant Grav 35 115002 (2018)
[arXiv,
doi]

Explicit triangular decoupling of the separated vector wave equation on
Schwarzschild into scalar ReggeWheeler equations
I. Khavkine
J Phys: Conf Ser 986 012006 (2018)
[arXiv,
doi]

IDEAL characterization of isometry classes of FLRW and inflationary spacetimes
G. Canepa, C. Dappiaggi, I. Khavkine
Class Quant Grav 35 035013 (2018)
[arXiv,
doi]

Ground state for a massive scalar field in BTZ spacetime with Robin boundary conditions
F. Bussola, C. Dappiaggi, H.R.C. Ferreira, I. Khavkine
Phys Rev D 96 105016 (2017)
[arXiv,
doi]

The Calabi complex and Killing sheaf cohomology
I. Khavkine
J Geom Phys 113 131 (2017)
[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.
