PhD Students

Below is a list of our current PhD students, their supervisors and what research they are currently working on.

Ardavan Afshar

Email: ardavan.afshar.15 AT ucl.ac.uk

Supervisor(s): Prof A Granville

Research Interests

Analytic Number Theory and Random Matrix Theory

Khadija Alamoudi

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

Supervisor(s): Prof R Halburd

Research Interests

Nevanlinna theory

Sebastián Bahamonde Beltrán

Email: sebastian.beltran.14 AT ucl.ac.uk

Supervisor(s): Dr CG Boehmer

Research Interests

Gravitation and cosmology

Website:
http://www.homepages.ucl.ac.uk/~ucahsab/index.htm

Samire Balta

Email: samire.balta.12 AT ucl.ac.uk

Supervisor(s): Prof FT Smith

Research Interests

Internal Fluid Dynamics

Thomas Bartlett

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

Supervisor(s): Prof A Zaikin

Research Interests

Network models of stochastic processes relating to DNA methylation and stem cell and cancer biology

Description:
Complex systems which can be modelled as networks are ubiquitous. Well-known examples include social and economic networks, as well as many examples in cell biology such as gene regulatory and protein signalling networks. Many cell biological processes are inherently stochastic and non-stationary, and this is the perspective from which we are developing novel statistical network models. These models are motivated by cell biological processes relating to DNA methylation and stem cell and cancer biology, and can be generalised to other systems.


Website:
https://www.ucl.ac.uk/statistics/people/thomas-bartlett

Gregorio Benincasa (Grego)

Email: g.benincasa AT ucl.ac.uk

Supervisor(s): Prof R Halburd

Research Interests

Integrable systems, Geometry and Topology and Non-Linear systems

Bjorn Berntson

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

Thomas Boiveau

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

Yanika Borg

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

Samuel Brown

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

James Cann

Email: james.cann.14 AT ucl.ac.uk

Supervisor(s): Prof M A Singer and Prof A Granville

Research Interests

Analytic Number Theory

Website:
https://jame5cann.wordpress.com/


Hugo Castillo Sanchez

Email: hugo.sanchez.15 AT ucl.ac.uk

Supervisor(s): Dr H Wilson

Research Interests

Rheology, Fluid Dynamics, Non-Newtonian Fluids, Rheology of Micellar Solutions and Polymers

Antonio Cauchi

Email: antonio.cauchi.14 AT ucl.ac.uk

Supervisor(s): Prof M A Singer

Research Interests

Theory of Euler Systems, p-adic Hodge Theory and Iwasawa Theory

Dimitrios Chatzakos

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

Supervisor(s): Dr I Petridis

Research Interests

Spectral theory of automorphic forms



Personal Webpage:
http://dimitrioschatzakos.com/

Jianzhi (Kian) Cheng

Email: jianzhi.cheng.11 AT ucl.ac.uk

Supervisor(s): Prof R Halburd

Research Interests

Self-Dual Yang-Mills systems, mathematical physics

Atheeta Ching

Email: atheeta.ching.11 AT ucl.ac.uk

Supervisor(s): Dr S Baigent

Research Interests

Mathematical Ecology, Population dynamics and Evolutionary dynamics.

Alexandru Cioba

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

Supervisor(s): Dr C Wendl

Research Interests

Pseudo-holomorphic curves in symplectic and contact topology

Maria Alessandra Crisafi

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

Supervisor(s): Dr A Macrina

Research Interests

Algorithmic Trading

Toby Davies

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:

https://www.ucl.ac.uk/scs/people/profiles/toby-davies

Alexander Doak

Email: alexander.doak.11 AT ucl.ac.uk 

Supervisor(s):  Prof J Vanden-Broeck  

Research Interests

My research interests are in boundary integral methods and other numerical schemes used in computations on free-surface flows. I am currently looking at numerical schemes used to compute large bubbles rising in a tube,  including both gravity and surface tension within the boundary condition. Particular interest is taken in the limit as surface tension goes to zero.

I also have a general interest in areas of fluid mechanics

Celso Dos Santos Viana

Email:celso.viana.14 AT ucl.ac.uk

Supervisor(s): Prof M A Singer

Research Interests

Geometric Analysis and Differential Geometry

John Evans

Email: john.evans.09 AT ucl.ac.uk

Supervisor(s): Prof FEA Johnson

Research Interests

Stable and unstable algebraic K-Theory

Thomas Oléron Evans

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 international trade and migration. My principal research interest is the mathematical foundations of agent-based models and other complex systems, analysing ways in which the behaviour of such models can be predicted and controlled and the extent to which it can be accurately represented by more tractable models.  I have also worked on spatial game theory and the mathematical modelling of the sterile insect technique to control mosquito populations.

Yan Long Fang

Email: yan.fang.12 AT ucl.ac.uk

Supervisor(s): Prof D Vassiliev

Research Interests

Applications of micro-local analysis and spectral theory to theoretical physics, where geometric structures emerge naturally. In particular, I am investigating an alternative field theory for both general relativity and Dirac’s theory on electrons.

Tao Gao

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.

Hui Gong

Email: h.gong.12 AT ucl.ac.uk

Supervisor(s): Dr Á Cartea

Research Interests

Algorithmic Trading & High Frequency Trading; Quant Finance; Financial Econometrics

Personal Webpage:
http://www.homepages.ucl.ac.uk/~ucahgon/

Yoshinori Hashimoto

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.

David Hodgson

Email:  david.hoghson.10 AT ucl.ac.uk

Supervisor(s): Dr J Panovska-Griffiths

Research Interests

Mathematical modelling of infectious diseases

Personal Webpage:
http://www.ucl.ac.uk/~zcahg57/index.htm

Kavinda Jayawardana

Email: k.guruge AT ucl.ac.uk 

Supervisor(s): Dr NC Ovenden  

Research Interests

Mathematical elasticity and mathematical friction

Markus Jehl

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

Yupeng Jiang

Email: yupeng.jiang.13 AT ucl.ac.uk

Supervisor(s): Dr A Macrina

Research Interests

Counterparty risk and funding risk, credit modelling, multi-curve interest rate models, commodities modelling, and computational finance

Personal Webpage:

http://www.homepages.ucl.ac.uk/~ucahjia/

Rudolf Kohulak

Email: rudolf.kohulak.14 AT ucl.ac.uk

Supervisor(s): Prof F T Smith, Prof A K Velayudhan

Research Interests

Mathematical modelling of the freeze-frying processes in the manufacturing of pharmaceuticals

Hoi (Justin) Kong

Email: hoi.kong.14 AT ucl.ac.uk

Supervisor(s): Dr A Cartea

Research Interests

Algorithmic Trading & High Frequency Trading; Quant Finance

Momchil Konstantinov

Email: momchil.konstantinov.14 AT ucl.ac.uk

Supervisor(s): Dr Jonny Evans and Dr Yankl Lekili 

Research Interests:

Symplectic topology

Dimitra Kyriakopoulou

Email: d.kyriakopoulou.13 AT ucl.ac.uk

Supervisor(s): Prof Y Kurylev

Research Interests

Inverse problems, nonlinear analysis, mathematical logic

Niko Laaksonen

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 Quantum Unique Ergodicity. On the side I study problems in classical analytic number theory.

Anna Lambert

Email: anna.lambert AT ucl.ac.uk

Supervisor(s): Prof FT Smith

Research Interests

Mathematical Modelling of Bioprocessing and Social Systems

Jacopo Lanzoni

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.

Jia (Kevin) Liu

Email:  j.liu.10 AT ucl.ac.uk

Supervisor(s): Prof FT Smith    

Research Interests

TBA

Mattia Miglioranza

Email: mattia.miglioranza.14 AT ucl.ac.uk

Supervisor(s): Dr F Schulze

Research Interests

Riemannian Geometry, Partial Differential Equations, Minimal Surfaces and Geometric Measure Theory

Nurul Huda Mohd Ramli

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

Agustin Moreno

Email: agustin.moreno.14 AT ucl.ac.uk

Supervisor(s): Dr C Wendl

Research Interests

Symplectic and contact topology

Stephen Muirhead

Email: s.muirhead AT ucl.ac.uk

Supervisor(s): Dr N Sidorova

Research Interests

Stochastic processes, random walks in random media

Personal Webpage:

www.ucl.ac.uk/~ucahmui

Ryan Palmer

Email: ryan.palmer.14 AT ucl.ac.uk

Supervisor(s): Prof M Utley

Research Interests

Operational Research, Applied Mathematics and Health

Rosemary Penny

Email: rosemary.penny.10 AT ucl.ac.uk

Supervisor(s): Dr R Bowles

Research Interests

My research is involved with how to model social systems mathematically. The specific social system on which I am working is how potential terrorists become radicalised, and I am using a combination of methods such as Petri nets and agent-based modelling to represent the radicalisation process.

Personal Webpage:
http://www.ucl.ac.uk/secret/current_students/2011_cohort/2011-cohort-profiles/penny_profile

Bernhard Pfirsch

Email: bernhard.pfirsch.15 AT ucl.ac.uk

Supervisor(s): Prof L Parnovski

Research Interests

Periodic and almost-periodic Schrödinger operators, spectral theory, pseudo-differential operators

Rafael Prieto Curiel

Email: rafael.prieto.13 AT ucl.ac.uk

Supervisor(s): Prof SR Bishop

Research Interests

Mathematical and social modelling, crime and security measurements and spatial modelling

Raul Sanchez Galan

Email: raul.galan.13 AT ucl.ac.uk

Supervisor(s): Prof M Singer

Research Interests

Differential Geometry and Magnetic Monopoles

Adam Sanitt

Email:  adam.sanitt.11 AT ucl.ac.uk

Supervisor(s): Dr JM Talbot         

Research Interests

TBA

Luca Scarpa

Email: luca.scarpa.15 AT ucl.ac.uk

Supervisor(s): Dr C Marinelli

Research Interests

nonlinear stochastic partial differential equations, nonlinear (parabolic) partial differential equations, nonlinear evolution systems, well-posedness and asymptotical estimates, variational approach to PDEs and SPDEs

Marcus Schofield

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

Supervisor(s): Prof WT Shaw         

Research Interests

TBA

Matthew Scroggs

Email: matthew.scroggs.14 AT ucl.ac.uk

Supervisor(s): Prof E Burman

Research Interests

Finite Element Methods and Boundary Element Methods

Personal Webpage:

http://www.mscroggs.co.uk

Pietro Servini

Email: pietro.servini.14 AT ucl.ac.uk

Supervisor(s): Prof FT Smith/Dr NC Ovenden

Research Interests

My research focuses mainly on how the presence of small, oscillating bumps on a surface could affect the surrounding boundary layer, with particular emphasis on the potential for this method to delay or suppress the separation of a laminar boundary layer at high Reynolds numbers.  This would be of interest in, for example, the design of aircraft as a means of preventing stall and reducing drag.

Belgin Seymenoglu

Email: belgin.seymenoglu.10 AT ucl.ac.uk

Supervisor(s): Dr SA Baigent

Research Interests

Invariant manifolds of models from population genetics

Sergei Siyanko

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 

Tobias Sodoge

Email: tobias.sodoge.13 AT ucl.ac.uk

Supervisor(s): Dr JD Evans

Research Interests

Symplectic Geometry and Symplectic Topology

Oliver Southwick

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

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

Research Interests 

Geophysical Fluid Dynamics

Geophysical fluid dynamics. I work on a point vortex model for the creation of ocean eddies by flow separation.

Christopher Sutton

Email: christopher.sutton.10 AT ucl.ac.uk

Supervisor(s): Prof FEA Johnson

Research Interests

Algebraic Topology

Luke Swift

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

Supervisor(s): Prof E Burman

Research Interests

Numerical analysis, specifically focussing on the finite element method

Lorenzo Torricelli

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.

Adam Townsend

Email: a.townsend AT ucl.ac.uk

Supervisor(s): Dr HJ Wilson

Research Interests

Non-Newtonian fluids

Personal Webpage:
www.adamtownsend.com

Jason Vittis

Email: jason.vittis.11 AT ucl.ac.uk

Supervisor(s):  Prof F Johnson

Research Interests

Algebraic topology


Dimitrios Voulgarelis

Email: dimitrios.voulgarelis.14 AT ucl.ac.uk

Supervisor(s): Prof FT Smith

Research Interests

Mathematical modeling of stem cells

Personal Webpage:
http://www.ucl.ac.uk/~ucbpdvo/

Claire Walsh

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

Supervisor(s): Dr NC Ovenden

Research Interests

Modelling bubble formation in human tissue due to decompression sickness

Please click here for Claire Walsh's personal webpage

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

Wenting Wang

Email:  wenting.wang.10 AT ucl.ac.uk

Supervisor(s): Dr RI Bowles     

Research Interests

Opinion dynamic in evolving networks

Simon Warman

Email:  s.warman AT ucl.ac.uk

Supervisor(s): Dr JM Talbot     

Research Interests

TBA

Ashley Whitfield

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

Matthew Wright

Email: matthew.wright.13 AT ucl.ac.uk

Supervisor(s): Dr CG Böhmer

Research Interests

General Relativity and Continuum Mechanics

Kangjianan (Desmond) Xie 

Email: kangjianan.xie.14 AT ucl.ac.uk

Supervisor(s): Dr J Ruf

Research Interests

Stochastic Analysis, Financial Mathematics, and Economic Theory

Bin Bin Xue

Email: bin.xue.09 AT ucl.ac.uk

Supervisor(s): Prof ER Johnson

Research Interests

Geophysical fluid dynamics, currently working on vortex sheet evolution.

Chunxin Yuan

Email: chunxin.yuan.14 AT ucl.ac.uk

Supervisor(s): Prof ER Johnson

Research Interests

Nonlinear waves, mainly through numerical simulation and theory

Page last modified on 27 oct 15 09:33