Preprints:

[15] "Lower bounds on the top Lyapunov exponent for linear PDEs driven by the 2D stochastic Navier-Stokes equations", in collaboration with M. Hairer, S. Punshon-Smith and J. Yi, Arxiv, submitted.

[14] "Quantitative instability for stochastic scalar reaction-diffusion equations", in collaboration with A. Blessing (Neamtu), Arxiv, submitted.

[13] "Spectral gap for projective processes of linear SPDEs", in collaboration with M. Hairer, under revision at Comm. Amer. Math. Soc., Arxiv.

Published, or to appear:

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

[11] "Synchronisation for scalar conservation laws via Dirichlet boundary", in collaboration with A. Djurdjevac, Bernoulli (2024), Arxiv.

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

[9] "Lyapunov exponents in a slow environment", Stochastic Process. Appl. (2024), ArxivLink opens in a new windowLink opens in a new window.

[8] "The wave speed of an FKPP equation with jumps via coordinated branching", in collaboration with A. Tobias, Electron. J. Probab. (2023). ArxivLink opens in a new windowLink opens in a new window.

[7] "The Allen-Cahn equation with generic initial datum", in collaboration with M. Hairer and K. Le, Probab. Theory Related Fields (2023), ArxivLink opens in a new windowLink opens in a new window.

[6] "The spatial Λ-Fleming-Viot process in a random environment", in collaboration with A. Klimek, ArxivLink opens in a new windowLink opens in a new window, Ann. Appl. Probab. (2023). Arxiv.

[5] "A rough super-Brownian motion", in collaboration with N. Perkowski, Ann. Probab. (2021), ArxivLink opens in a new winLink opens in a new window.

[4] "Synchronization for KPZ", Stoch. Dyn. (2022), Arxiv.Link opens in a new windoLink opens in a new window

[3] "Killed rough super-Brownian motion", Electron. Commun. Probab. (2020), open accessLink opens in a new windoLink opens in a new window.

[2] "Modelled distributions of Triebel-Lizorkin type", in collaboration with S. Hensel, Studia Math. (2020), ArxivLink opens in a new windoLink opens in a new window.

[1] "The KPZ equation on the real line", in collaboration with N. Perkowski, Electron. J. Probab. (2019), open accessLink opens in a new windoLink opens in a new window.

Outreach & other:

• • • • I recently wrote some lecture notes for a mini-course of stochastic PDEs: they can be found here.
      • "Randomness is natural - an introduction to regularisation by noise", in collaboration with H. Elad-Altman and A. Djurdjevac, snapshots of modern mathematics from Oberwolfach.
      • I helped revamp the Probability at Warwick website. Check it out here!
      • You can find some old simulations on GitHubLink opens in a new windowLink opens in a new window.

Theses:

• • • • PhD thesis: "Singular SPDEs and Fluctuations of Particle Systems", open accessLink opens in a new windowLink opens in a new window.
      • Master thesis: "The KPZ equation on the real line".

I am very thankful to have collaborated with: Alexandra Blessing (Neamtu), Ana Djurdjevac, Simon Gabriel, Martin Hairer, Sebastian Hensel, Aleksander Klimek, Khoa Le, Nicolas Perkowski, Sam Punshon-Smith, Andras Tobias, Jaeyun Yi, Nikos Zygouras and (a bit with) Henri Elad-Altman.

Short curriculum vitae (long version hereLink opens in a new window):