Marco Falconi's Math Page


Department of Mathematics
Politecnico di Milano

E-mail: marco.falconi [AT]


MathSciNet profile , GoogleScholar profile , ArXiv profile

Itinerant Quantum Math Meetings

MCQM Seminar

Recent Advances in Quantum and Statistical Mechanics - Hausdorff School

Research interests

  • Wigner measures and Egorov-type Theorems in infinite dimensions
  • Quasi-Classical Systems
  • Renormalization in Quantum Field Theory
  • Lattice Quantum ElectroDynamics
  • Open Quantum Systems
  • Scattering theory for linear and nonlinear evolution systems
  • Rigorous derivation of effective theories in condensed matter
  • Pseudodifferential calculus in infinite dimensions

Publications & Preprints

In reverse chronological order:


  • M.F., A. Olgiati, N. Rougerie
    • Convergence of states for polaron models in the classical limit, Preprint
      Abstract & Metadata
  • M. Correggi, M.F., M. Olivieri
    • Ground State Properties in the Quasi-Classical Regime, Anal. PDE 16(8), 1745-1798
      Abstract & Metadata
  • M. Correggi, M.F., M. Olivieri
  • Z. Ammari, M.F., M. Olivieri
    • Semiclassical analysis of quantum asymptotic fields in the Yukawa theory, J. Differential Equations 357, 236-274
      Abstract & Metadata
  • M. F., N. Leopold
    • Derivation of the Maxwell–Schrödinger equations: A note on the infrared sector of the radiation field, J. Math. Phys. 64, 011901
      Abstract & Metadata
  • M. F., N. Leopold, D. Mitrouskas, S. Petrat
    • Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model, Rev. Math. Phys. 33, 2350006
      Abstract & Metadata


  • M. Dalmonte, V. Eisler, M.F., B. Vermersch
    • Entanglement Hamiltonians - from field theory, to lattice models and experiments, Ann. Phys. (Berlin) 534(11), 202200064
      Abstract & Metadata
  • Z. Ammari, M.F., F. Hiroshima
    • Towards a derivation of Classical ElectroDynamics of charges and fields from QED, Preprint
      Abstract & Metadata


  • R. Carlone, M. Correggi, M.F., M. Olivieri
    • Emergence of Time-Dependent Point Interactions in Polaron Models, SIAM J. Math. Anal. 53(4), 4657-4691
      Abstract & Metadata
  • M.F., E.L. Giacomelli, C. Hainzl, M. Porta
    • The dilute Fermi gas via Bogoliubov theory, Ann. Henri Poincaré 22(7), 2283-2353
      Abstract & Metadata
  • D. Dimonte, M.F., A. Olgiati
    • Some rigorous aspects of fragmented condensation, Nonlinearity 34(1), 1-32
      Abstract & Metadata


  • M. Correggi, M.F., M. Olivieri
    • Magnetic Schrödinger Operators as the Quasi-Classical Limit of Pauli-Fierz-type Models, J. Spectr. Theory 9(4), 1287-1325
      Abstract & Metadata


  • M.F.
  • M. Correggi, M.F.
    • Effective Potentials Generated by Field Interaction in the Quasi-Classical Limit, Ann. Henri Poincaré 19(1), 189-235
      Abstract & Metadata


  • 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


  • 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(5), 1417-1442
      Abstract & Metadata
  • Z. Ammari, M.F.
    • Bohr's correspondence principle in quantum field theory and classical renormalization scheme: the Nelson model, Preprint
      Abstract & Metadata



  • 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(2), 330-364
      Abstract, Intro & Metadata


  • 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


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


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


Current employment

Senior Tenure-Track Researcher at DMat, Politecnico di Milano.


  • 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.


  • September 2019 - Present. Researcher (RTDa) at Rome 3 University, Italy.
  • January 2018 - August 2019. 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).

Teaching & Dissemination

Research Activities

  • Hausdorff School
    • Recent Advances in Quantum and Statistical Mechanics. Hausdorff School at HCM Bonn, organized together with C. Brennecke and S. Cenatiempo. Website
  • INdAM Intensive Period
    • INdAM Quantum Meetings 22. Research Trimester with focus on the Mathematical Methods of Quantum Mechanics. March-May 2022, Politecnico di Milano. Website
  • Workshop
    • Quantum Before Christmas. December 20-22, 2021. Università degli Studi di Milano. Website
  • Local Seminar
    • Itinerant Quantum Math Meetings. Local seminar, delocalized in Polimi, Statale, and Insubria. Website
  • Italian Quantum Seminar
    • MCQM Seminar. Italian quantum seminar. Website


Scientific Presentations

  • Renormalization at any order of lattice infrared QED\(_4\). Probability Seminar, HCM Bonn + Mathematical Quantum Matter. slides
  • A Quantum detour: regularizing classical electrodynamics by means of QED. Seminar of Mathematical Physics, Tohoku University + Quantissima in the Serenissima IV. slides
  • Variational Problems in Quasi-Classical Systems. Seminar Analysis and Mathematical Physics, Basel + SMAQ Seminar, L'Aquila. slides
  • Quasi-Classical Dynamics. Nonlinear Dynamics in Quantum Mechanics, Bremen. website slides
  • Ground State Energy of Interacting Fermions at Low Density. Seminario di Fisica Matematica, Roma. slides
  • Limiti Quasi-Classici in Meccanica Quantistica. XXI Congresso U.M.I., Pavia. website slides
  • Semiclassical Analysis in AQFT. AQFT: Where Operator Algebra Meets Microlocal Analysis, Cortona. website slides
  • Cylindrical Wigner Measures in Bosonic QFTs. 4th SwissMAP General Meeting, Grindelwald. website slides
  • 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
  • Bohr's correspondence principle in the Nelson model. Mathematical quantum field theory and related topics, IMI Kyushu. pdf website
  • Scattering theory in open quantum systems: Lindblad-type evolutions. Mathematical Challenges in Quantum Mechanics, Bressanone. pdf 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
  • 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

Some fun (thanks to Quino and R. Munroe)


Last updated in January 2023 by MF using Emacs 28.1 (Org mode 9.5.5's html-export)