I am a graduate student in mathematics at Trinity College, Cambridge. My recent work concerns the Navier–Stokes equations and statistical inference for diffusion processes.

Below are selected publications, lecture notes and expository material. I am also listed on the DPMMS website.

selected publications

• The Bardos–Tartar Conjecture for the Navier–Stokes Equations
  with Samuel Liew and Edriss Titi; preprint, October 2026 (arXiv:2610.21530).
  We prove the Bardos–Tartar conjecture for the two-dimensional incompressible Navier–Stokes equations, along with results on backward extendability of solutions.
• On Low Frequency Inference for Diffusions Without the Hot Spots Conjecture
  with Giovanni S. Alberti, Aditya Jambhale and Richard Nickl; Mathematical Statistics and Learning, 8, 305–322 (2025) (doi:10.4171/MSL/53).
  Statistical inference for discretely observed diffusion processes without assuming the hot spots conjecture.

lecture notes

• Mathematical Analysis of the Navier–Stokes Equations (pdf)
  Notes from Edriss Titi's 2024 Cambridge lectures: distributions, Sobolev spaces, weak solutions, regularity and the energy inequality.
• Infinite-Dimensional Bayesian Inference for Time Evolution PDEs (pdf)
  Notes based on Richard Nickl's 2025 Warwick lectures, including Gaussian process priors, data assimilation and nonlinear PDEs.

expository papers

• The Eight Types of Algebraic Surfaces (2024, pdf)
  Sheaf theory, divisors, Riemann–Roch and the classification of minimal complex algebraic surfaces.

Older Cambridge mathematics example sheets and other material are on the resources page.

contact: db875[at]cam.ac.uk · statistical laboratory profile