Dr. Luca Fresta

I am postdoctoral researcher at the University of Bonn hosted by Prof. Stefan Müller. Previously, I was an SNSF fellow at the University of Bonn and worked with Prof. Massimiliano Gubinelli. I received my Ph.D. in 2020 from the University of Zurich, under the supervision of Prof. Marcello Porta. Here you can find my CV.

Research Interests

I do research in Mathematical Physics, with focus on many-fermion systems and Euclidean quantum field theory. I particularly like to approach "old problems" with non-conventional techniques.

Topics I have been working on include: 

  • Non-commutative stochastic analysis and stochastic quantisation
  • Random Schrödinger operators
  • Effective dynamics for many-fermion systems
  • Transport in 2d lattice fermionic systems

Publications and Preprints

8.  Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime. (with M. Porta and B. Schlein) Preprint (2024), arXiv:2409.14841.

7.  Non-commutative $L^{p}$ spaces and Grassmann stochastic analysis. (with F. De Vecchi, M. Gordina and M. Gubinelli) Preprint (2023), arXiv:2305.08497.

6.  A stochastic analysis of subcritical Euclidean fermionic field theories. (with F. De Vecchi and M. Gubinelli) Preprint (2022), arXiv:2210.15047.

5.  Effective Dynamics of Extended Fermi Gases in the High-Density Regime. (with M. Porta and B. Schlein) Commun. Math. Phys  401 1701 -1751 (2023).

4.  Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons. (with P. Moosavi) Phys. Rev. B  103 085140 (2021).

3.  Supersymmetric Cluster Expansions and Applications to Random Schrödinger OperatorsMath. Phys. Anal. Geom. 24, 4 (2021). 

2.  A Supersymmetric Hierarchical Model for Weakly Disordered 3d Semimetals. (with G. Antinucci and M. Porta) Ann. Henri Poincaré 21  3499--3574 (2020).

1.  Elementary test for nonclassicality based on the measurements of position and momentum. (with J. Borregaard and A. Sorensen) Phys. Rev. A 92  062111 (2015).

Events

Johannes AltMichel Pain and I organised the Hausdorff school "Recent developments in disordered systems" which took place from September 9 to 13, 2024 in Bonn. For more details, please click here

Contact

Institut für Angewandte Mathematik &
Hausdorff Center for Mathematics 
Endenicher Allee 60
D-53115 Bonn

Office: 2.044

Tel:   +(49)228-73-62209

Email: surname at iam.uni-bonn.de

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