I am a mathematician, interested in probability, statistical computing and applied mathematics. This page gives an overview over some of my mathematical interests.
I examine how finite element discretisation affects the stationary distribution of stochastic partial differential equations, with results published in Communications in Mathematical Sciences. This work offers insights for researchers interested in numerical solutions of SPDEs.
I present a revised article on exponential Tauberian theorems that establishes upper and lower bounds, with a more general proof than originally developed. The work has been published in the Tbilisi Mathematical Journal.
Our paper on separating response-execution bias from decision bias in Ratcliff's Diffusion Model has been accepted for publication in the British Journal of Mathematical and Statistical Psychology.
I present a paper on sampling conditioned hypoelliptic diffusions, developed with Martin Hairer and Andrew Stuart, which evolved from an applied mathematics problem into a pure mathematics contribution published in the Annals of Applied Probability.
I share a new paper on separating response-execution bias from decision bias by proposing an additional parameter in Ratcliff's Diffusion Model, published in the British Journal of Mathematical and Statistical Psychology.
I present a new paper on upper and lower bounds in exponential Tauberian theorems, published in the Tbilisi Mathematical Journal, which develops material from my doctoral research.