Published Articles

1. (with M. Tomasevic) Blow-up for a stochastic model of chemotaxis driven by conservative noise on R2; Journal of Evolution Equations 23 (2023) [arXiv][DOI][slides]

2. (with F. Harang) Pathwise regularisation of singular interacting particle systems and their mean field limits; Stochastic Process. Appl. 159 (2023) [arXiv] [DOI] [slides]

3. (with L. Galeati & F. Harang) Distribution dependent SDEs driven by additive fractional Brownian motion, Probab. Theory Related Fields, 185, (2023) [arXiv] [DOI] [slides]

4. (with L. Galeati & F. Harang) Distribution dependent SDEs driven by additive continuous noise; Electron. J. Probab., 27 (2022); [arXiv] [DOI] [slides]

5. (with I. Chevyrev & B. Hambly) A stochastic model of chemorepulsion with additive noise and nonlinear sensitivity; Stoch. Partial Differ. Equ. Anal. Comput., 11, (2023) [arXiv] [DOI] [talk] [slides]

Preprints

6. (with L. Galeati & K. Lê) Qunatitative propagation of chaos for singular interacting particle systems driven by fractional Brownian motion, (2024) [arXiv]

7. (with T. Klose) Large deviations of the Φ43 measure via stochastic quantisation, (2024) [arXiv]

8. (with T. Matsuda) Pathwise uniqueness for multiplicative Young and rough differential equations driven by fractional Brownian motion, (2023) [arXiv]

9. (with H. Singh) Singular SPDEs on homogeneous Lie groups, (2023) [arXiv] [slides]

10. (with A. Martini) An additive noise approximation to Keller–Segel–Dean–Kawasaki dynamics part I: Local well-posedness of paracontrolled solutions, (2022) [arXiv] [slides]

Lecture Notes

Any typos or errors please feel free to let me know.

• Introduction to SPDE from Probability and PDE [PDF_notes] [slides]