Status:
Personal website:
ORCID iD:
https://orcid.org/0000-0002-0412-142X
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Publications:
On the exit time and stochastic homogenization of isotropic diffusions in large domains
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
issue 2
volume 55
page 720-755
(14 May 2019)
Path-by-path well-posedness of nonlinear diffusion equations with
multiplicative noise
(11 July 2018)
A Liouville theorem for elliptic systems with degenerate ergodic coefficients
The Annals of Applied Probability
issue 3
volume 28
page 1379-1422
(June 2018)
A Liouville theorem for stationary and ergodic ensembles of parabolic systems
Probability Theory and Related Fields
(22 March 2018)
Well-posedness of stochastic porous media equations with nonlinear, conservative noise
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
issue 1
volume 233
page 249-322
(15 December 2017)
Research interests:
- Stochastic homogenization: elliptic and parabolic equations, diffusions in random environment, Hamilton-Jacobi equations, conservation laws
- Stochastic partial differential equations: nonlinear diffusion equations, conservation laws
- Data analysis/Machine learning: convergence rates for stochastic gradient descent algorithms
Prizes, awards, and scholarships:
- Titchmarsh Research Fellowship, University of Oxford
- Fulbright Fellowship (declined)
- National Science Foundation Postdoctoral Research Fellowship, MPI Leipzig