Michał Wrochna

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 microlocal and asymptotic analysis and operator theory.

I am also investigating problems in QED in external potentials and in general gauge theories.

List of publications & preprints:

„Conformal extension of the Bunch-Davies state across the de Sitter boundary”, arXiv:1711.04011, (2017)

„Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces” (with Christian Gérard), arXiv:1609.00192, (2017)

„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” (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)

* The two papers above are a
splitted and extended version of a manuscript which was
originally this.*

„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)

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 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
univ-grenoble-alpes.fr

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