Status:
+44 1865 280468
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:
Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative Noise
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
issue 1
volume 233
page 249-322
(July 2019)
Full text available
On the exit time and stochastic homogenization of isotropic diffusions in large domains
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES
issue 2
volume 55
page 720-755
(May 2019)
Full text available
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)
Exit laws of isotropic diffusions in random environment from large domains
Electronic Journal of Probability
volume 22
(28 June 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
Teaching:
- Michaelmas Term 2018: Tutor for Math B8.1 Probability, Measure, and Martingales
- Hilary Term 2019: Tutor for Math B5.1 Stochastic Modelling for Biological Processes
- Hilary Term 2019: Tutor for Math A6 Differential Equations II
Prizes, awards, and scholarships:
- Titchmarsh Research Fellowship, University of Oxford
- Fulbright Fellowship (declined)
- National Science Foundation Postdoctoral Research Fellowship, MPI Leipzig