Scholarly Works  Pure Mathematics and Mathematical Statistics
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Inverse problems for the connection Laplacian
We reconstruct a Riemannian manifold and a Hermitian vector bundle with compatible connection from the hyperbolic DirichlettoNeumann operator associated with the wave equation of the connection Laplacian. The boundary ... 
Visibility of 4covers of elliptic curves
Let C be a 4cover of an elliptic curve E, written as a quadric intersection in P^3. Let E' be another elliptic curve with 4torsion isomorphic to that of E. We show how to write down the 4cover C' of E' with the property ... 
Frogs on trees?
(Institute of Mathematical Statistics, 20180101)We study a system of simple random walks on $\mathcal{T}_{d,n} = \mathcal{V}_{d,n}, \mathcal{E}_{d,n})$, the $d$ary tree of depth $n$, known as the frog model. Initially there are Pois($\lambda$) particles at each ... 
A note on the fibres of Mori fibre spaces
In this note we consider the problem of determining which Fano manifolds can be realised as fibres of a Mori fibre space. In particular, we study the case of toric varieties, Fano manifolds with high index and some Fano ...