Michele Schiavina

Postdoc @ ETH Zurich:
Department of Mathematics, Raemistrasse 101, 8092 Zurich.
Institute for Theoretical Physics, Wolfgang-Pauli strasse 27, 8093 Zurich
micschia - at - ethz.ch

I am postdoctoral fellow at ETH Zurich working in Mathematical Physics, where I develop mathematics in the fields of differential and symplectic geometry as well as homological algebra and Lie theory to solve relevant problems in theoretical high-energy physics related to general relativity, string and field theory, and their quantisation. Specifically, I focus on the cohomological approach to field theories on manifolds with boundary, as well as to dynamical systems, and applications of Lie theory and Kähler geometry to quantum information theory.


Curriculum VitaeV

Postdoctoral Fellow

ETH Zurich

Joint position between Department of Mathematics and Institute for Theoretical Physics
Research group leaders: G. Felder and N. Beisert

Feb 2019 - Present

SNSF Postdoctoral fellow

University of California, Berkeley

`Postdoc Mobility' Research Grant, funded by the Swiss National Science Foundation.
Research group leader: N. Reshetikhin

August 2016 - February 2019

Guest Researcher

Max Planck Institute for Mathematics, Bonn

Visiting Researcher

March 2018 - August 2018

Postdoctoral Fellow

University of Zurich

Research group leader: A.S. Cattaneo

May 2016 - July 2016

Education

University of Zurich

PhD in Natural Sciencens - Mathematics
Prof. A. S. Cattaneo

Thesis: BV-BFV Approach to General Relativity

January 2012 - April 2016

University of Bologna

Master of Science - Theoretical Physics
Profs. Elisa Ercolessi and Luca Migliorini

Thesis: Geometric Techniques for Statistical Mechanics and Quantum Mechanics

August 2006 - May 2010

University of Bologna

Bachelor of Science - Physics
Prof. Luca Migiorini

Thesis: Periodic orbits in symplectic manifolds, Arnold's conjecture

August 2002 - May 2006

Research

BV-BFV approach to General Relativity

Cohomological methods for models of gravitation on manifolds with boundary.
In this project I analyse the theory of General Relativity, seen as a field theory on manifolds with boundaries and corners. I adopt the cohomological techniques of Batalin, Fradkin and Vilkovisky, joined together by the BV-BFV formalism, to study perturbative quantisation with boundary.
IN PROGRESS

Publications

Preprints
  • with S. Martinoli, Preprint arXiv:2106.02983 [math-ph]
    BV analysis of Polyakov and Nambu-Goto theories with boundary
  • with S. M. Griffin, Preprint arXiv:2008.08066 [cond-mat.mtrl-sci]
    Generalized spontaneous symmetry breaking

Published papers
  • with G. Canepa and A. S. Cattaneo, Communications in Mathematical Physics, 385, 1571-1614 (2021). DOI: 10.1007/s00220-021-04127-6
    General Relativity and the AKSZ construction.
  • with Rejzner, K., Communications in Mathematical Physics, 385, 1083-1132 (2021). DOI: 10.1007/s00220-021-04061-7
    Asymptotic symmetries in the BV-BFV formalism.
  • with Canepa G. and Cattaneo A. S., To appear in Advances in Theoretical and Mathematical Physics 25 (2). Preprint arXiv:2001.11004 [math-ph] (2020)
    Boundary structure of General Relativity in tetrad variables.
  • with Canepa G., Accepted for Publication in Advances in Theoretical and Mathematical Physics, Preprint arXiv:1905.09333 [math-ph] (2019)
    Fully extended BV-BFV description of General Relativity in three dimensions.
  • with Contreras I., Manuscripta Mathematica (2021) DOI: 10.1007/s00229-021-01311-9
    Kähler fibrations in quantum information theory.
  • with Hadfield C. and Kandel S., To appear in Annales Henri Poincaré, DOI 10.1007/s00023-020-00964-8 (2020)
    Ruelle zeta function from field theory.
  • with Cattaneo A. S., Advances in Theoretical and Mathematical Physics, 23 (8) (2019),
    BV-BFV approach to General Relativity: Palatini–Cartan–Holst action.
  • with P. Mnev and K. Wernli, Annales Henri Poincaré, 21(3), 993-1044(2020), (2019)
    Towards Holography in the BV-BFV setting.
  • with Cattaneo A. S., Annales Henri Poincaré, 20 (2), 445-480, (2019)
    The reduced phase space of Palatini–Cartan–Holst theory.
  • with Cattaneo A. S. and Selliah I., Letters in Mathematical Physics, 108 (8), 1873–1884 (2018)
    BV equivalence between triadic gravity and BF theory in three dimensions.
  • with Cattaneo A.S., Letters in Mathematical Physics, 107(2), 375-408, (2016/17)
    On time.
  • with Contreras I. and Ercolessi E., Journal of Mathematical Physics 57(6), 062209 (2016)
    On the geometry of mixed states and the Fisher information tensor.
  • with Cattaneo A. S., Journal of Mathematical Physics 57(2), 023515 (2015/16)
    BV-BFV approach to General Relativity: Einsten Hilbert action.
  • with Micheli G., Advances in Mathematics of Communications 8 (3), 343-358 (2014)
    A general construction for monoid-based knapsack protocols.
  • with Ercolessi E., Physics Letters A 377 (34-36), 1996-2002 (2013)
    Symmetric logarithmic derivative for general n-level systems and the quantum Fisher information tensor for three-level systems.
  • with Ercolessi E., Journal of Physics A 45 365303 (2012)
    Geometry of mixed states for a q-bit and the quantum Fisher information tensor.

Thesis
  • PhD Thesis, University of Zürich (2015),
    BV-BFV Approach to General Relativity.

Teaching

In the Spring of 2021 I have taught 'Mathematical Aspects of Classical and Quantum Field Theory', a course for mathematics and physics master students at ETH Zurich and the University of Zurich, in collaboration with G. Canepa (UZH).

In the Fall of 2020 I have coordinated tutors for 'Classical Mechanics', taught by Prof. Niklas Beisert.


In the Fall of 2019 I taught 'Field theory with symmetries and the Batalin-Vilkovisky formalism', a course for mathematics and physics master students at ETH Zurich.


Other Things About me

In my spare time I play electric bass and drums.
My little musical project is called ECHOMOSTRO,
a musical experiment that bulges from the landscapes of contemporary music like an abusive swelling of sound.
Here is how it sounds like: