Marco Falconi's Math Page

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Mathematische Physik
Universität Tübingen

E-mail: marco.falconi [AT] uni-tuebingen.de

CV(english)

MathSciNet profile , GoogleScholar profile , ArXiv profile

Research interests

  • Wigner measures and Egorov-type Theorems in infinite dimensions
  • Rigorous derivation of effective theories in condensed matter
  • Scattering theory for linear and nonlinear evolution systems
  • Projective pseudodifferential calculus
  • Non-perturbative renormalization for Quantum Field Theories

Publications & Preprints

In reverse chronological order:

2018

  • M. Correggi, M.F., M. Olivieri
    • Magnetic Schrödinger Operators as the Quasi-Classical Limit of Pauli-Fierz-type Models, J. Spectr. Theory, to appear
      Abstract & Metadata
  • M. Correggi, M.F.
    • Effective Potentials Generated by Field Interaction in the Quasi-Classical Limit, Ann. Henri Poincaré 19(1), 189-235
      Abstract & Metadata
  • M.F.
    • Concentration of cylindrical Wigner measures, Commun. Contemp. Math. 1750055
      Abstract & Metadata

2017

  • Z. Ammari, M.F.
    • Bohr's correspondence principle for the renormalized Nelson model, SIAM J. Math. Anal. 49(6), 5031-5095
      Abstract & Metadata
  • M.F., J. Faupin, J. Froehlich, B. Schubnel
    • Scattering theory for Lindblad master equations, Comm. Math. Phys. 350 (3), 1185-1218
      Abstract & Metadata

2016

  • Z. Ammari, M. F., B. Pawilowski
    • On the rate of convergence for the mean field approximation of Bosonic many-body quantum dynamics, Commun. Math. Sci. 14 No. 5, 1417-1442
      Abstract & Metadata
  • M.F.
  • Z. Ammari, M.F.
    • Bohr's correspondence principle in quantum field theory and classical renormalization scheme: the Nelson model, Preprint
      Abstract & Metadata

2015

2014

  • Z. Ammari, M. F.
    • Wigner measures approach to the classical limit of the Nelson model: Convergence of dynamics and ground state energy, J. Stat. Phys. 157, No.2 330-364
      Abstract, Intro & Metadata

2013

  • M.F.
    • Global Solution of the Electromagnetic Field-Particle System of Equations, J. Math. Phys. 55, 101502
      Abstract, Intro & Metadata
    • Mean field limit of bosonic systems in partially factorized states and their linear combinations, Preprint
      Abstract, Intro & Metadata

2012

  • M.F.
    • Classical limit of the Nelson model with cut off, J. Math. Phys. 54, 012303
      Abstract & Metadata

2008

  • R. Bonezzi, M.F.
    • Mode Regularization for N = 1, 2 SUSY Sigma Model, J. High Energy Phys. 10 (2008) 019
      Abstract & Metadata

Affiliations

Current employment

Postdoc researcher at the Fachbereich Mathematik, Eberhard Karls Universität Tübingen.

Education

  • Ph.D. in Mathematics. Alma Mater Studiorum, Università di Bologna.
    • Dissertation : Classical limit of the Nelson model. pdf
    • Advisor : Giorgio Velo.
    • Committee : Piero D'Ancona, Alberto Parmeggiani, Marco Peloso.
    • Defense : June 8, 2012.
  • Master Degree in Theoretical Physics. Alma Mater Studiorum, Università di Bologna.
    • Dissertation : On the regularization of phase-space path integral in curved manifolds. pdf
    • Advisor : Fiorenzo Bastianelli.
    • Grade : 110/110 with honours.
  • Bachelor Degree in Physics. Alma Mater Studiorum, Università di Bologna.
    • Dissertation : Sulla nozione di distinguibilità e degenerazione (in italian).
    • Advisor : Loris Ferrari.
    • Grade : 110/110 with honours.

Chronology

  • January 2018 - Present. Postdoc at Eberhard Karls Universität Tübingen, Germany.
  • April 2017 - December 2017. Postdoc at Universität Zürich, Switzerland.
  • April 2016 - March 2017. Postdoc at Rome 3 University, Italy.
  • October 2015 - March 2016. Research assistant at Universität Stuttgart, Germany.
  • January 2014 - September 2015. Postdoc at CHL/IRMAR Rennes, France.
  • July 2012 - June 2013. Postdoc at Mathematics Department, Bologna University, Italy.
  • January 2009 - June 2012. Ph.D. student, Bologna University, Italy.
  • September 2005 - December 2007. Master student, Bologna University, Italy.
  • September 2002 - September 2005. Bachelor student, Bologna University, Italy.

Since October 2014 I am member of the International Association of Mathematical Physics (IAMP), of the French Mathematical Society (SMF), and of the European Mathematical Society (EMS). From January 2016, I am also member of the American Mathematical Society (AMS).

Dissemination

Courses and Teaching

Presentations

  • Semiclassical Analysis in AQFT. AQFT: Where Operator Algebra Meets Microlocal Analysis, Cortona. website slides
  • Mesures de Wigner cylindriques. Séminaire LieGA, Metz.
  • Magnetic Laplacians as the Quasi-Classical Limit of Microscopic Models of Pauli-Fierz Type. BCAM Scientific Seminar, Bilbao.
  • Cylindrical Wigner Measures in Bosonic QFTs. 4th SwissMAP General Meeting, Grindelwald. website slides
  • Cylindrical Wigner Measures in Bosonic systems. Champ moyen quantique et problèmes liés, LAGA Paris 13.
  • Potenziali effettivi nell'approssimazione quasi-classica. Assemblea Scientifica GNFM 2017. website slides (in italian)
  • External Potentials Generated by the Interaction with a Semiclassical Field. Spectral Days 2017, Stuttgart. website slides
  • Potentiels effectifs dans l’approximation quasi-classique. Journée Thématique EDP, IRMAR Rennes.
  • External Potentials Generated by the Interaction with a Semiclassical Boson Field. Seminario di Fisica Matematica, Universita' La Sapienza. website
  • Wigner semiclassical measures in bosonic quantum field theories. Journees "Mesures en dimension infinie et applications". website
  • Bohr's correspondence principle in the Nelson model. Mathematical quantum field theory and related topics, IMI Kyushu. pdf website
  • Scattering theory for Lindblad-type open systems. Seminario di fisica matematica, Dipartimento di Matematica e Fisica, Universita' di Roma Tre. website
  • Scattering theory in open quantum systems: Lindblad-type evolutions. Mathematical Challenges in Quantum Mechanics, Bressanone. pdf website
  • Bohr's Correspondence Principle for the Nelson Model. Oberseminar Mathematische Physik, LMU Muenich. website
  • Semiclassical Analysis in Infinite Dimensions: Wigner Measures. Seminari di Analisi Matematica Bruno Pini, Dipartimento di Matematica, Universita' di Bologna. To appear in BPMAS 2016 notes
  • Bohr's correspondence principle and classical dressing renormalization in the Nelson model. 3rd Meeting ANR SQFT, Ile de Porquerolles (France). June 11th, 2015. pdf website
  • Essential self-adjointness of operators in Fock space: a simple proof for quadratic interactions. Mathematik fakultaet, Stuttgart (Germany). June 2nd, 2015. website
  • Bounds on the convergence towards mean field dynamics for systems of many bosons. Rencontre LODIQUAS, Saint-Malo (France). December 9th, 2014. pdf website (lodiquas)
  • Schrödinger-Klein-Gordon system as the classical limit of a Quantum Field Theory dynamics. Workshop on Dispersive equations with nonlocal dispersion - III, WPI Vienna. October 10th, 2014. pdf website
  • Classical and mean field limit of field-particle systems. GDR DynQua annual meeting 2014, Roscoff. February 5th, 2014. pdf website

Divertissement

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Last updated on June 2018 by MF using Emacs 26.1 (Org mode 9.1.13 html-export)