## Publications

Preprints of my papers can be found on the arXiv.

*Periodic homogenisation for two dimensional generalised parabolic Anderson model*, arXiv:2401.05718.

*A central limit theorem for nonlinear conservative SPDEs*, arXiv:2310.19924.

*Green function and invariant measure estimates for nondivergence form elliptic homogenization*, arXiv:2211.13279.

*Stochastic homogenization with space-time ergodic divergence-free drift*,

**Ann. Probab.**, 52(1):350--380, 2024.

*Ergodicity and random dynamical systems for conservative SPDEs*, arXiv:2206.14789.

*Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise*,

**Arch. Ration. Mech. Anal.**, 248(20): 2024.

*Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process*, arXiv:2012.02126.

*Large-scale regularity in stochastic homogenization with divergence-free drift*,

**Ann. Appl. Probab.**, 33(4):2559--2599, 2023.

*Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift*,

**Invent. Math.**, 234:573--636, 2023.

*Convergence rates for the stochastic gradient descent method for non-convex objective functions*,

**J. Mach. Learn. Res.**, 21(136):1--48, 2020.

*Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise*,

**J. Math. Pures Appl.**, 148(9):221--266, 2021.

*Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise*,

**Arch. Ration. Mech. Anal.**, 233(1):249--322, 2019.

*A Liouville theorem for stationary and ergodic ensembles of parabolic systems*,

**Probab. Theory Relat. Fields**, 173(3):759--812, 2019.

*Stochastic homogenization of linear elliptic equations: Higher-order estimates in weak norms via second-order correctors*,

**SIAM J. Math. Anal.**, 49(6):4658--4703, 2017.

*A Liouville theorem for elliptic systems with degenerate ergodic coefficients*,

**Ann. Appl. Probab.**, 28(3):1379--1422, 2018.

*On the exit time and stochastic homogenization of isotropic diffusions in large domains*,

**Ann. Inst. H. Poincare Probab. Statist.**, 55(2):720--755, 2019.

*Exit laws of isotropic diffusions in random environment from large domains*,

**Electron. J. Probab.**, 22: 2017.

*A Liouville property for isotropic diffusions in random environment*, arXiv:1406.1549.

*On the existence of an invariant measure for isotropic diffusions in random environment*,

**Probab. Theory Relat. Fields**, 168(1-2):409--453, 2017.

*A partial homogenization result for nonconvex viscous Hamilton-Jacobi equations*, arXiv:1402.5191.

*Stochastic homogenization of monotone systems of viscous Hamilton-Jacobi equations with convex nonlinearities*,

**SIAM J. Math Analysis**, 45(4):2441--2476, 2012.

*Moduli spaces of punctured Poincaré disks*,

**Associahedra, Tamari Lattices, and Related Structures: Tamari Memorial Festschrift**, 99--117, 2008.

*On the dimension of the virtually cyclic classifying space of a crystallographic group*, arXiv:0610387.