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.
Together with Johannes Alt and Michel Pain, I am organising the Hausdorff school "Recent developments in disordered systems" taking place from September 9 to 13, 2024 in Bonn. For more details and registration, please click here.
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
7. Non-commutative $L^{p}$ spaces and Grassmann stochastic analysis. (with F. De Vecchi, M. Gordina and M. Gubinelli) Preprint, arxiv:2305.08497.
6. A stochastic analysis of subcritical Euclidean fermionic field theories. (with F. De Vecchi and M. Gubinelli) Preprint, 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 Operators. Math. 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).
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
