## Upcoming Talks

- Conference on Quantum Statistical Mechanics, Toulouse Mathematics Institute, 27-31 May 2024
- One World IAMP Mathematical Physics Seminar, online, 4 June 2024
- XXI International Congress On Mathematical Physics, Strasbourg, contributed talk, 1-6 July 2024
- European Congress of Mathematics, Mini-Symposium "Collective Phenomena of Fermionic Systems", Seville, 15-19 July 2024
- Mathematical Challenges in Quantum Mechanics, school and workshop, GSSI L'Aquila, 10-14 February 2025
- Emergent phenomena in many-body quantum systems, CIRM, 8-12 December 2025

## Past Scientific Talks

Describing Quantum Correlations in the Fermi Liquid by Bosonization.

- Seminar at University of Bologna, 20 March 2024
- Workshop "Effective theories in classical and quantum particle systems", SwissMAP Research Station, Les Diablerets, Switzerland (June 18-23, 2023)
- Seminar, University of Warsaw (May 25, 2023)
- Talk in the seminar "Mathematics of Many-Body Systems", SISSA Trieste (March 9, 2023)
- Mini-Workshop on fermionic quantum systems, Center for Advanced Studies LMU (CAS) - LMU München, Munich, Germany (January 23-24, 2023).
- Oberseminar Analysis, Hausdorff Center for Mathematics/University of Bonn (January 12, 2023)
- Workshop Mathematical Quantum Matter, University of Milan (January 9 - 11, 2023)
- ICMP 2021, Geneva (2-7 August 2021)

Bosonization of Fermionic Many-Body Dynamics.

- Venice 2022 - Quantissima in the Serenissima IV. Centro Culturale Don Orione Artigianelli, Venice (August 15-26, 2022).
- Mathematical Physics Seminar, University of Tübingen (July 7, 2022)
- INdAM Quantum Meetings IQM22 Workshop I, Politecnico di Milano (March 9, 2022)
- Online conference "Mathematics of Condensed Matter and Beyond", Beirut, Libanon (23 February 2021)
- Online seminar, University of Paris–Saclay, France (11 February 2021)

Effective Theories in Many-Body Quantum Mechanics: an introduction and overview of recent developments.

- Assemblea GNFM / Assembly of the National Group of Mathematical Physics Italy, Montecatini (May 5-7, 2022)
- Online seminar, Universidade Federal de Minas Gerais, Brazil (30 July 2020)
- Researcher Day, University of Milan (18 February 2020)

Correlation energy of a weakly interacting Fermi gas, as obtained by bosonizing collective particle-hole pair excitations. This provides the corresponding lower bound to the results presented below, in accordance with the random phase approximation.

- Conference "Mathematical results of many-body quantum systems", Herrsching near Munich (June 6-11, 2022).
- On-Line QLunch, University of Copenhagen (29 April 2020)

We calculate the correlation energy of the mean-field Fermi gas by bosonizing collective particle-hole pair excitations; this makes the random phase approximation rigorous as an upper bound.

- "CPS-Workshop", University of Mannheim (January 2020)
- Mathematical Physics Seminar, LMU Munich (November 2019)
- Conference "Dynamics, Equations and Applications" (DEA 2019), Kraków (September 2019)
- Conference "QMath 14: Mathematical Results in Quantum Physics", Aarhus University (August 2019)
- Conference "On Mathematical Aspects of Interacting Particle Systems in Low Dimension", FernUniversität Hagen (June 2019)
- Mathematical Physics Seminar, University of Vienna (June 2019)
- Workshop "Mean-Field and other Effective Models in Mathematical Physics", Fondation Les Treilles (May 2019)
- Workshop "Many-body theory, effective equations and PDEs", Mittag-Leffler Institute, The Royal Swedish Academy of Sciences, Stockholm (March 2019)
- Seminar at Gran Sasso Science Institute, L'Aquila (7 March 2019)
- Seminar at Università degli Studi Roma Tre (27 November 2018)
- Quantum Lunch, University of Copenhagen, one hour seminar talk (7 November 2018)
- ICMP 2018 Montreal, contributed talk (July 2018)

Reformulation of the Dirac-Frenkel principle in terms of reduced density matrices and application to the derivation of Hartree-Fock and Bogoliubov-de-Gennes equations:

- Spectral Days, Stuttgart, contributed talk (April 2017)

Interaction corrections to spin-wave theory of the ferromagnetic quantum Heisenberg model, and perturbative analysis of spin-waves at low temperature:

- IST Austria, Klosterneuburg (February 2018)
- LMU München (December 2017)
- IST Austria, Klosterneuburg (October 2016)

Derivation of the time-dependent Hartree-Fock equation for pure and mixed fermionic states in the mean-regime, and derivation of the Vlasov equation:

- Seminar Analysis, Math-Phys, and Quantum at SISSA Trieste (December 2016)
- Mathematical Challenges in Quantum Mechanics, Bressanone, contributed talk (February 2016)
- Università degli Studi Roma Tre (September 2015)
- Università degli Studi dell'Insubria, Como (April 2015)
- Quantum Lunch, University of Copenhagen (February 2015)
- Seminar, Università Roma Tre (October 2014)
- Seminar, University of Mannheim (February 2014)
- Warwick Statistical Mechanics Seminar, University of Warwick (December 2013)
- Mathematical Physics Seminar, University of Bristol (December 2013)
- Oberseminar Analysis, University of Stuttgart (November 2013)

Quantitative Derivation of the Gross-Pitaevskii equation:

- The Time-Dependent Gross-Pitaevskii Equation and its Derivation, Fields Institute Toronto (August 2016, invited talk)
- Quantum Lunch Minitalk, Copenhagen (November 2015)
- QMath 12, Berlin (September 2013, contributed talk)

Slides of my PhD defence:

- PhD Defence, University of Bonn (April 2014)

Anderson localization at large disorder on a lattice (method of fractional moments):

- Working group seminar Bonn (June 2012)

Fermionic coherent states with and without Grassmann numbers:

- Working group seminar Bonn (October 2012)

Dynamics of the radiative decay of excited atoms, rate of relaxation:

- Short talk Berlin WIAS (February 2011)
- Blackboard talk Bonn HCM (February 2011)
- Mathematical Physics Seminar Heidelberg + handwritten notes (October 2010)

Existence of asymptotic fields in non-relativistic quantum electrodynamics:

- Working group seminar Stuttgart (July 2010)

## Undergraduate Studies: Seminar Talks

In a 2+1 dimensional nonlinear Sigma model with Hopf term there exist
topological excitations (skyrmions), which can have arbitrary spin (not
necessarily integer or half-integer) and arbitrary quantum statistics
(arbitrary phases under permutation
of particles). Skyrmions have be found in experiments, see e.g. X. Z. Yu et al.

A short theoretical introduction to this interesting topic can be found
in the book "Quantum Field Theory" by Kerson Huang (Wiley 1998) in the
chapter on topological excitations.

- Seminar talk (July 2009)
- Additional materials (July 2009)

Physics talks (in German) at the "Naturwissenschaftliches Kolleg" of the Studienstiftung (German National Academic Foundation).

- Quantitative Derivation of the Gross-Pitaevskii Equation (November 2012)
- Exact Renormalisation Group and Asymptotic Safety of Gravity (November 2011)
- Homotopie-Gruppen für Physiker, Anyonen in 2+1 Dimensionen (Oktober 2010)
- Konforme Feldtheorie (April 2010)
- Majorana-Spinoren (September 2008)
- Farbladungsspiel (September 2008)
- Das Wu-Experiment (April 2008)