UCL Department of Mathematics

Email: khadija.alamoudi.11 AT ucl.ac.uk

Supervisor(s): Prof R Halburd

Research Interests

Nevanlinna theory

Email: tom.ashbee.09 AT ucl.ac.uk

Supervisor(s): Dr G Esler and Prof NR McDonald 

Research Interests

2D point vortex dynamics and their application to geophysical flows:
-Development of new algorithms (VOR-MFS) that allow vortex simulations of a much more general type than previously possible.
-Statistical mechanics of the many vortex system in a bounded container, including oscillations of vorticity in non-symmetric domains and asymptotic matching of multiple scaling regimes that arise from different energies.

Email: thomas.bartlett.10 AT ucl.ac.uk

Supervisor(s): Prof A Zaikin

More detail on Thomas Bartlett's research.

Research Interests

Epigenetics and cancer modelling

Email: p.baudains AT ucl.ac.uk

Supervisor(s): Prof SR Bishop

Research Interests

Mathematical modelling of complex social systems

My research area is the development of models and tools for the analysis of complex social systems, with applications to global security, conflict and terrorism. The principal tools used originate from non-linear dynamics, statistical physics, game theory and numerical simulations including agent-based modelling.

Email: g.benincasa AT ucl.ac.uk

Supervisor(s): Prof R Halburd

Research Interests

Integrable systems, Geometry and Topology and Non-Linear systems

Email: bjorn.berntson.12 AT ucl.ac.uk

Supervisor(s): Prof R Halburd

Research Interests

Integrable systems, mathematical physics

Personal Webpage:
www.physics.umn.edu/people/berntson.html

Email: r.bilal AT ucl.ac.uk

Supervisor(s): Prof A Zaikin

Research Interests

Mathematical Modelling of Immune System

Email: thomas.boiveau.12 AT ucl.ac.uk

Supervisor(s): Prof E Burman

Research Interests

Numerical analysis and computational methods for interface multi-physics problems; Finite element method

Email: yanike.borg.11 AT ucl.ac.uk

Supervisor(s): Prof A Zaikin and Dr D Nesbeth

Research Interests

Synthetic Biology, Genetic Regulatory Networks, Stochastic Modelling of Biological Systems, Optimisation of Bio-processing, Biochemical Engineering

Email: s.brown.12 AT ucl.ac.uk

Supervisor(s): Dr H Wilton

Research Interests

Geometric group theory, with a particular interest in the links to low-dimensional topology

Email: katie.butler.10 AT ucl.ac.uk

Supervisor(s): Dr T Betcke

Research Interests

Numerical Analysis, Discontinuous Galerkin finite element and boundary element coupling on exterior Helmholtz problems.

Email: nennacp AT math.ucl.ac.uk

Supervisor(s): Dr RM Hill

Research Interests

Algebraic Number Theory

I am interested in automorphic forms on the metaplectic cover of SL_2, with the imaginary quadratic field Q(i) as base field. In particular, I am interested in the cohomological interpretation of these forms via the generalised Eichler-Shimura- Harder isomorphism.

Email: d.chatzakos.12 AT ucl.ac.uk

Supervisor(s): Dr I Petridis

Research Interests

Spectral theory of automorphic forms

Email: o.chervova AT ucl.ac.uk

Supervisor(s): Prof D Vassiliev

Research Interests

TBA

Email: a.cioba.12 AT ucl.ac.uk

Supervisor(s): Dr C Wendl

Research Interests

Pseudo-holomorphic curves in symplectic and contact topology

Email: l: jacqueline.cole.11 AT ucl.ac.uk

Supervisor(s): Dr NC Ovenden

Research Interests

TBA

Email: m.crisafi.12 AT ucl.ac.uk

Supervisor(s): Dr A Macrina

Research Interests

Algorithmic Trading

Email: toby.davies.09 AT ucl.ac.uk

Supervisor(s): Prof SR Bishop

Research Interests

My research concerns the modelling and analysis of issues related to security and crime, using methods from complexity science. This involves the use of non-linear dynamics, both discrete and continuous, simulation methods, and network theory. Present areas of application include the spatio-temporal modelling of both residential burglary and large-scale public disorder.


Personal Webpage:
www.bartlett.ucl.ac.uk/casa/people/mphil-phd-students/Toby_Davies

Email: c.daw AT ucl.ac.uk

Supervisor(s): Dr A Yafaev

Research Interests

Arithmetic algebraic geometry

I am interested in the geometry of (mixed) Shimura varieties and, in particular, the Anre-Oort and Zilber-Pink conjectures. These problems have called for the use of a diverse range of mathematics, including ideas from number theory, algebraic geometry, model theory, ergodic theory and the theory of algebraic groups.

Personal Webpage:
www.homepages.ucl.ac.uk/~zcahc32

Email: r.downes AT ucl.ac.uk

Supervisor(s): Prof D Vassiliev

Rob Downes' personal website.

Research Interests

Microlocal analysis and spectral theory applied to problems in mathematical physics; gravitation and alternative field theories, in particular investigating the potential role of torsion (e.g. Teleparallelism, `Rotational elasticity')

Email: daniel.ellam.09 AT ucl.ac.uk

Supervisor(s): Dr RM Hill

Research Interests

I study the cohomology of arithmetic groups, fractional weight modular forms and their applications to the congruence subgroup problem.

Email: thomas.evans.11 AT ucl.ac.uk

Supervisor(s): Prof SR Bishop and Prof FT Smith

Research Interests

Complex Systems

I work on the ENFOLD-ing project at CASA, creating and analysing mathematical models of trade, migration, security and development aid. My research interests include spatial game theory, agent-based modelling and complexity theory.

Email: a.fiodorov AT ucl.ac.uk

Supervisor(s): Dr N Sidorova

Research Interests

TBA

Email: tao.gao.10 AT ucl.ac.uk

Supervisor(s): Prof J-M Vanden-Broeck

Research Interests

Free-surface flows beneath an ice sheet

The research  is concerned with a study of linear and non-linear waves propagating in a fluid bounded above by a sheet of ice. Such waves can be generated by a load moving on the ice sheet. The research is motivated by applications to transport systems in cold regions, where bodies of water are transformed into roads and runways and where air-cushioned vehicles are used to break the ice.

Email: josephine.gerken.11 AT ucl.ac.uk 

Supervisor(s): Prof WT Shaw 

Research Interests

TBA

Email: glavin AT math.ucl.ac.uk 

Supervisor(s): Prof FT Smith 

Research Interests

Biomedical flows.

Email: g.grasso AT ucl.ac.uk

Supervisor(s): Prof ER Johnson

Research Interests

Fluid flows with geophysical significance

Email: yoshinori.hashimoto.12 AT ucl.ac.uk

Supervisor(s): Prof M Singer

Research Interests

Complex Kaehler geometry; I am particularly interested in the existence problem of canonical metrics on Kaehler manifolds, and its connection to algebro-geometric stability.

Email: matthew.hunt.09 AT ucl.ac.uk 

Supervisor(s): Prof J-M Vanden-Broeck  

Research Interests

Electrohydrodynamics

My main research topics include linear and nonlinear waves in electrohydrodynamics. I have examined generalisations of the KdV equation for interfacial waves in both 2D and 3D cases.

Personal Webpage:
www.hyperkahler.co.uk

Email: k.guruge AT ucl.ac.uk 

Supervisor(s): Dr NC Ovenden  

Research Interests

TBA

Email: markus.jehl.11 AT ucl.ac.uk

Supervisor(s): Dr T Betcke

Research Interests

Finite Element Modelling and Meshing of the Head from CT and MRI Images

Email: l.jottrand AT ucl.ac.uk

Supervisor(s): Prof DG Larman  

Research Interests

Shadow boundaries of convex bodies

I have studied the length of shadow boundaries of convex bodies using both measure theoretic methods and Baire category theory.

Email:  thomas.kecker.10 AT ucl.ac.uk

Supervisor(s): Prof R Halburd   

Thomas Kecker's personal website.

Research Interests

Function Theory

Solutions of differential equations can develop various kinds of singularities when one tries to analytically continue a local solution in the complex plane. A general task is to give, for certain classes of equations, a complete list of all types of singularities that can occur.

Personal Webpage:
www.ucl.ac.uk/~ucahtke/

Email:  ali.khalid AT ucl.ac.uk

Supervisor(s): Prof NR McDonald   

Ali Khalid's personal website.

Research Interests

Fluid Mechanics

Non-linear free boundary problems in a Hele-Shaw cell. 

Studying the evolution of the free boundary separating two immiscible fluids in a Hele-Shaw cell (thin gap between two parallel plates). Aiming to understand the generalised two fluid problem both numerically and analytically, using complex variable methods.

Personal Webpage:
www.homepages.ucl.ac.uk/akhalid

Email:  p.kowalski AT ucl.ac.uk

Supervisor(s): Prof ER Johnson and Dr MK Davey  

Research Interests

Geophysical Fluid Dynamics

Email:  n.laaksonen AT ucl.ac.uk

Supervisor(s): Dr I Petridis   

Research Interests

Analytic Number Theory
My main interests are in the spectral theory of automorphic forms and the Selberg eigenvalue conjecture. On the side I study problems in classical analytic number theory.

Email:  jacopo.lanzoni.10 AT ucl.ac.uk

Supervisor(s): Dr T Betcke   

Research Interests

Numerical analysis - Spectral theory

My main research interest is the study of the spectral properties of wave operators, which I investigate with both analytical and numerical tools.

Email:  j.liu.10 AT ucl.ac.uk

Supervisor(s): Prof FT Smith    

Research Interests

TBA

Email:  n.ramli AT ucl.ac.uk

Supervisor(s): Dr G Esler     

Research Interests

Synchronization of Eulerian and Stochastic
Lagrangian models of global atmospheric dispersion

Email: theodosis.mourouzis.09 AT ucl.ac.uk

Supervisor(s): Dr JM Talbot

Research Interests

TBA

Email: s.muirhead AT ucl.ac.uk

Supervisor(s): Dr N Sidorova

Research Interests

Stochastic processes, random walks in random media

Email:  atifah.mussa.09 AT ucl.ac.uk

Supervisor(s): Dr C G Boehmer     

Research Interests

Space and Climate PhysicsGeneral relativity, exact spherically or axially symmetric solutions and their properties. Modified gravity (including teleparallelism, f(T) and f(R) gravity) and spherical symmetry within these theories.

Email:  a.jamil AT ucl.ac.uk

Supervisor(s): Prof FEA Johnson     

Research Interests

Geometric Group Theory

The R(2)-D(2) problem; two dimensional homotopy classification in terms of algebraic 2-complexes for non-abelian fundamental groups of order p^2q.

Email:  jean-pierre.o'brien AT ucl.ac.uk

Supervisor(s): Dr NC Ovenden     

Research Interests

Multiple scattering effects of ultrasound within bubble populations. In particular, I aim to develop novel analytical and numerical models for the propagation of ultrasound through a suspension of coated resonant microbubbles, which will enable more accurate image reconstruction algorithms to be developed for use in medical ultrasound imaging and other therapeutic applications

Email:  james.oldfield.09 AT ucl.ac.uk

Supervisor(s): Prof A Sobolev      

Research Interests

Toeplitz and Weiner-Hopf operators, particularly the asymptotics of their trace of with respect to a scaling parameter.

Email: w.ong.12 AT ucl.ac.uk

Supervisor(s): Dr RM Hill

Research Interests

Number theory and graph theory

Email:  s.o'shea AT ucl.ac.uk

Supervisor(s): Prof FEA Johnson      

Research Interests

Homotopy classification of two dimensional CW-complexes. Projective modules over group rings.

Email:  l.pruessner AT ucl.ac.uk

Supervisor(s): Prof FT Smith       

Research Interests

Email:  j.remez AT ucl.ac.uk

Supervisor(s): Prof FEA Johnson        

Research Interests

Geometric group theory, Representation Theory of finite groups.

The R(2)-D(2) problem; two dimensional homotopy classification in terms of algebraic 2-complexes for certain fundamental groups.

Email:  edgardo.pensado.09 AT ucl.ac.uk

Supervisor(s): Prof DG Larman and Prof I Barany        

Research Interests

Convex Geometry

I have mainly worked on problems involving the integer lattice, but I am also very interested in Hellytype theorems and geometric transversal theory.

Email:  adam.sanitt.11 AT ucl.ac.uk

Supervisor(s): Dr JM Talbot         

Research Interests

TBA

Email:  marcus.schofield.10 AT ucl.ac.uk

Supervisor(s): Prof WT Shaw         

Research Interests

TBA

Email:  sergei.siyanko.10 AT ucl.ac.uk

Supervisor(s): Prof WT Shaw  

Sergei Siyanko's personal website. 

Research Interests

Pricing in incomplete markets with jumps and, in particular, when jumps are directed towards fundamental value of the stock; asymptotic methods for pricing Asian Derivatives 

Email:  pablo.bravo.10 AT ucl.ac.uk

Supervisor(s): Prof I Barany   

Research Interests

Discrete and combinatorial geometry. I am interested in problems regarding partitions or separation of measures and with transversals to families of convex sets.

Email:  oliver.southwick.11 AT ucl.ac.uk

Supervisor(s): Prof ER Johnson and Prof NR McDonald

Research Interests 

Geophysical Fluid Dynamics

I study the interaction between ocean eddies and topography, particularly the generation of eddies by flow separation at a sharp point e.g. a cape.

Email: luke.swift.12 AT ucl.ac.uk

Supervisor(s): Prof E Burman

Research Interests

Numerical analysis, specifically focussing on the finite element method

Email:  n.tamanini.11 AT ucl.ac.uk

Supervisor(s): Dr C G Boehmer    

Research Interests

Mathematical Physics

Gravitational physics: cosmology, theories of gravity, mathematical foundations of general relativity, quantum gravity.

Email:  lorenzo.torricelli.11 AT ucl.ac.uk

Supervisor(s): Prof WT Shaw      

Lorenzo Torricelli's personal website.

Research Interests

Joint asset/volatility derivatives pricing and hedging, stochastic calculus, Lévy processes in finance, time change based asset models.

Email: a.townsend AT ucl.ac.uk

Supervisor(s): Dr HJ Wilson

Research Interests

Non-Newtonian fluids

Personal Webpage:
www.adamtownsend.com

Email: c.walsh.11 AT ucl.ac.uk

Supervisor(s): Dr NC Ovenden

Please click here for Claire Walsh's personal webpage

Please click here for Claire Walsh's entry on the CoMPLEX website

Research Interests

Modelling bubble formation in human tissue due to decompression sickness

Email:  wenting.wang.10 AT ucl.ac.uk

Supervisor(s): Dr RI Bowles     

Research Interests

Opinion dynamic in evolving networks

Email:  s.warman AT ucl.ac.uk

Supervisor(s): Dr JM Talbot     

Research Interests

TBA

Email: ashley.whitfield.12 AT ucl.ac.uk

Supervisor(s): Prof ER Johnson

Research Interests

Nonlinear waves, nonlinear PDE's, numerics and high performance computing