Tommaso Rosati

I am an Assistant Professor at Imperial College London.

I study probability, stochastic analysis, SPDEs.

Contact: t.rosati@ic.ac.uk.

Office: room 6m47, Huxley building.

Find me on Arxiv, Scholar, or ORCID.

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Tommaso Rosati

Research

Preprints

[18] “Unique ergodicity of projective cocycles over the 2D stochastic Navier-Stokes equations”,
with S. Punshon-Smith.

[17] “Fluctuations in the weakly coupled 4D Anderson Hamiltonian”,
with S. Gabriel.

[16] “Invariant measures for the open KPZ equation: an analytic perspective”,
with A. Dunlap and Y. Gu.

Published or accepted

[15] “Lower bounds on the top Lyapunov exponent for linear PDEs driven by the 2D stochastic Navier-Stokes equations”, with M. Hairer, S. Punshon-Smith and J. Yi.
Duke Math. J. (2026), to appear.

[14] “Quantitative instability for stochastic scalar reaction-diffusion equations”,
with A. Blessing.
Ann. Appl. Probab. (2026).

[13] “Spectral gap for projective processes of linear SPDEs”, with M. Hairer.
Comm. Amer. Math. Soc. (2025).

[12] “The Allen-Cahn equation with weakly critical random initial datum”,
with S. Gabriel and N. Zygouras.
Probab. Theory Related Fields (2024).

[11] “Synchronisation for scalar conservation laws via Dirichlet boundary”,
with A. Djurdjevac.
Bernoulli (2025).

[10] “Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise”, with M. Hairer.
Ann. PDE (2024).

[9] “Lyapunov exponents in a slow environment”.
Stochastic Process. Appl. (2024).

[8] “The wave speed of an FKPP equation with jumps via coordinated branching”,
with A. Tobias.
Electron. J. Probab. (2023).

[7] “The Allen-Cahn equation with generic initial datum”, with M. Hairer and K. Le.
Probab. Theory Related Fields (2023).

[6] “The spatial Λ-Fleming-Viot process in a random environment”, with A. Klimek.
Ann. Appl. Probab. (2023).

[5] “A rough super-Brownian motion”, with N. Perkowski.
Ann. Probab. (2021).

[4] “Synchronization for KPZ”.
Stoch. Dyn. (2022).

[3] “Killed rough super-Brownian motion”.
Electron. Commun. Probab. (2020).

[2] “Modelled distributions of Triebel-Lizorkin type”, with S. Hensel.
Studia Math. (2020).

[1] “The KPZ equation on the real line”, with N. Perkowski.
Electron. J. Probab. (2019).

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