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 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).


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


Prof. Dr. Lisa Sauermann has been honored with the von Kaven Award 2023 for her outstanding scientific achievements. (16.11.2023)

Prof. Dr. Angkana Rüland has been awarded a New Horizons in Mathematics Prize 2024 for her contributions to applied analysis:

Prof. Dr. Angkana Rüland has been awarded the Calderon Prize that is awarded every two years by the Inverse Problems International Association: https://www.hcm.uni-bonn.de/hcm-news/calderon-prize-for-angkana-rueland/ (06.09.2023)

Prof. Dr. Karl-Theodor Sturm has been elected into the Academia Europaea. (28.06.2022)

Florian Schweiger erhielt den Hausdorff-Gedächtnispreis 2021 der Fachgruppe Mathematik für die beste Dissertation. Er fertigte die Dissertation unter der Betreuung von Prof. Stefan Müller an. Unter anderen wurde Vanessa Ryborz mit einem Preis der Bonner Mathematischen Gesellschaft für ihre von Prof. Sergio Conti betreute Bachelorarbeit ausgezeichnet. (18.01.2022)

Prof. Dr. Sergio Albeverio has been elected into the Academia Europaea and the Accademia Nazionale dei Lincei (more; 02.12.2021).


Managing Director: Prof. Dr. Juan J. L. Velázquez
Chief Administrator: Dr. B. Doerffel
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Mailing address

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
D-53115 Bonn / Germany