Welcome to Harprit Singh's Website

I have mostly been working in the area of Rough Analysis and Stochastic Partial Differential Equations (SPDEs), with a particular interest in connections to other fields such as Geometry, PDE and Homogenisation theory, Numerical Analysis. The following are my articles/preprints to date:

1. Homogenisation of singular SPDEs, with M. Hairer, arxiv.

2. Renormalisation of singular SPDEs with Correlated Coefficients, with N. Clozeau, to appear in Forum of Sigma, arxiv.

3. Renormalised Models for Variable Coefficient Singular SPDEs, with L. Broux and R. Steele, arxiv.

4. Rough geometric integration, with A. Chandra, Proc. Lond. Math. Soc., arxiv version.

5. Periodic space-time homogenisation of the phi^4_2 equation, with  M. Hairer, Journal of Functional Analysis, arxiv version.

6. Canonical solutions to non-translation invariant singular SPDEs, Electronic Journal of Probability, arxiv version. 

7. Regularity Structures on Manifolds and Vector bundles, with M. Hairer, arxiv.

8. Singular SPDEs on homogeneous Lie Groups, with A. Mayorcas, Proc. of the Royal Society of Edinburgh, arxiv version .

9. Strong convergence of parabolic rate 1 of discretisations of stochastic Allen-Cahn-type equations, with M. Gerencser, Transactions of the AMS, arxiv version.

10. An elementary proof of the reconstruction theorem, with J. Teichmann, arxiv.