Michał Wrochna


Research Interests:

    Presently my main research topic is Quantum Field Theory on curved spacetimes. I am particularly interested in applications of methods from partial differential equations, microlocal and asymptotic analysis and spectral theory

List of publications & preprints:

Propagation of singularities on AdS spacetimes for general boundary conditions and the holographic Hadamard condition” (with Oran Gannot), arXiv:1812.06564, (2018)

A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes” (with Wojciech Dybalski), Classical and Quantum Gravity 36 (8), arXiv:1809.05123, (2019)

Wick rotation in two variables on analytic backgrounds”, arXiv:1808.03859, (2018)

The massive Feynman propagator on asymptotically Minkowski spacetimes II” (with Christian Gérard), accepted in International Mathematics Research Notices, arXiv:1806.05076, (2018)

Conformal extension of the Bunch-Davies state across the de Sitter boundary”, Journal of Mathematical Physics 60 (2), 022301, arXiv:1711.04011, (2019)

Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces” (with Christian Gérard), Communications in Mathematical Physics 366 (1), arXiv:1609.00192, (2019)

The holographic Hadamard condition on asymptotically Anti-de Sitter spacetimes”, Letters in Mathematical Physics, 107 (12), 2291-2331, arXiv:1612.01203, (2017)

The massive Feynman propagator on asymptotically Minkowski spacetimes I” (with Christian Gérard), accepted in American Journal of Mathematics, arXiv:1609.00192, (2017)

Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes” (with Christian Gérard), Annales Henri Poincaré, 18 (8), 2715-2756, arXiv:1609.00190, (2016)    

Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry
(with Christian Gérard and Omar Oulghazi), Communications in Mathematical Physics, 352 (2), 519-583, arXiv:1602.00930, (2017)

Quantum fields from global propagators on asymptotically Minkowski and extended de Sitter spacetimes” (with András Vasy), accepted in Annales Henri Poincaré, arXiv:1512.08052, (2015)

Construction of Hadamard states by characteristic Cauchy problem” (with Christian Gérard), Analysis & PDE, 9 (1), 111-149, arXiv:1409.6691, (2016)

Classical phase space and Hadamard states in the BRST formalism for gauge field theories on curved spacetime” (with Jochen Zahn), Reviews in Mathematical Physics, 29 (4), 1750014, arXiv:1407.8079, (2017)

Hadamard states for the linearized Yang-Mills equation on curved spacetime” (with Christian Gérard), Communications in Mathematical Physics, 337 (1), 253-320, arXiv:1403.7153, (2015)

Continuous and holomorphic functions with values in closed operators” (with Jan Dereziński), Journal of Mathematical Physics 55 (8), 083512, arXiv:1309.0164, (2013)

On–shell extension of distributions” (with Dorothea Bahns), Annales Henri Poincaré, 15 (10), 2045-2067, arXiv:1260.5448, (2014)

Construction of Hadamard states by pseudo–differential calculus” (with Christian Gérard), Communications in Mathematical Physics, 325 (2), 713-755, arXiv:1209.2604, (2013)

Quantum Field Theory in static external potentials and Hadamard states”, Annales Henri Poincaré, 13 (8), 1841-1871, arXiv:1108.2982, (2012)

Exactly solvable Schrödinger operators" (with Jan Dereziński), Annales Henri Poincaré, 12 (2), 397-418, arXiv:1009.0541 (2011)

    I am currently a maître de conférences (associate professor) in mathematical physics at the Institut Fourier in Grenoble. I defended my habilitation in December 2018.
    A reasonably up-to-date CV can be found here.

    In the 2016-17 academic year I am co-organizing the mathematical physics seminar with Evelyne Miot, see the tentative schedule.
    In 2016-19 I am principal investigator in the JCJC grant ANR-16-CE40-0012-01 „Horizons".

Slides of some talks:

  „Quantum fields on asymptotically de Sitter spacetimes and their extension across the conformal horizon”, Roscoff, 2016

  „The Klein-Gordon operator with generalized Atiyah-Patodi-Singer-type boundary conditions on asymptotically Minkowski spacetimes”, Göttingen, 2016

  „Quantum fields on curved spacetime: the microlocal point of view”, Analysis & PDE Seminar, Stanford University, 2015

  „Characteristic Cauchy data of positive-frequency solutions of the wave equation”, Bay Area Microlocal Analysis Seminar, UC Berkeley, 2015

  „The classical phase space in the BRST formalism on curved spacetime”, DMV Annual Meeting, Hamburg, 2015

Université Grenoble Alpes

Institut Fourier, UMR 5582 du CNRS
                   CS 4070,

38058 Grenoble cedex 09, France

E-mail: Michal.Wrochna

Office: 131       Phone: (+33) (0) 4 76 51 49 86