An EPSRC Doctoral Training Centre in Geometry and Number Theory

LSGNT

London School of Geometry & Number Theory

Staff

  1. Centre Management & Administration
  2. Academic staff
  3. Students

Centre Management & Administration

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Prof Alessio Corti

Director and Mental Health Champion
a [dot] corti [at] imperial [dot] ac [dot] uk
Research interests
Geometry (high-dimensional birational geometry).
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Prof Michael Singer

Principal Investigator
michael [dot] singer [at] ucl [dot] ac [dot] uk
Research interests
Differential Geometry
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Dr Lars Louder

Co-Director First Year
l [dot] louder [at] ucl [dot] ac [dot] uk
Research interests
Geometric group theory
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Prof Fred Diamond

Co-Director for Years 2-4
fred [dot] diamond [at] kcl [dot] ac [dot] uk
Research interests
Modular forms, Galois representations, mod p Langlands, generalizations of Serre's conjecture
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Prof Kevin Buzzard

Co-Director Publicity and Recruitment
k [dot] buzzard [at] imperial [dot] ac [dot] uk
Research interests
Formal proof verification in number theory
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Dr Costante Bellettini

Management Committee member
c [dot] bellettini [at] ucl [dot] ac [dot] uk
Research interests
Geometric measure theory, Geometric analysis, Calculus of variations and Elliptic PDEs.
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Nicky Townsend

Centre Manager
enquiries [dot] lsgnt [at] ucl [dot] ac [dot] uk
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Ms Kay Musonda

Centre Administrator
k [dot] musonda [at] ucl [dot] ac [dot] uk
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Dr Alan Tester

n [dot] townsend [at] hotmail [dot] com
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Prof Payman Kassaei

Management Committee Member
payman [dot] kassaei [at] kcl [dot] ac [dot] uk
Research interests
Arithmetic geometry, (p-adic) automorphic forms, Shimura varieties

Academic staff

Name Institution Email Subject Research interests
Dr John Armstrong King's College London john [dot] 1 [dot] armstrong [at] kcl [dot] ac [dot] uk Geometry Financial mathematics, Geometry and finance and Information geometry.
Dr Dario Beraldo University College London d [dot] beraldo [at] ucl [dot] ac [dot] uk Geometry Geometric representation theory, especially on the geometric Langlands program. Derived algebraic geometry, higher category theory, connections to number theory and to mathematical physics.
Prof Jurgen Berndt King's College London jurgen [dot] berndt [at] kcl [dot] ac [dot] uk Geometry Special structures, exceptional geometries, symmetric and homogeneous spaces
Prof David Burns King's College London david [dot] burns [at] kcl [dot] ac [dot] uk Number Theory Iwasawa theory, Tamagawa number conjectures, Stark's conjecture and refinements
Dr Ana Caraiani Imperial College London a [dot] caraiani [at] imperial [dot] ac [dot] uk Number Theory My interests include the classical and p-adic Langlands programs, Shimura varieties, and arithmetic geometry.
Prof Paolo Cascini Imperial College London p [dot] cascini [at] imperial [dot] ac [dot] uk Geometry Algebraic geometry (birational geometry, minimal model program)
Dr Davoud Cheraghi Imperial College London d [dot] cheraghi [at] imperial [dot] ac [dot] uk Geometry Complex Geometry (invariant complex structures, moduli spaces of rational functions).
Prof Tom Coates Imperial College London t [dot] coates [at] imperial [dot] ac [dot] uk Geometry Algebraic Geometry (Gromov-Witten Theory, Mirror Symmetry)
Dr Lassina Dembélé King's College London lassina [dot] dembele [at] kcl [dot] ac [dot] uk Number Theory Arithmetic geometry; Automorphic forms and representations; Computational number theory
Dr Netan Dogra King's College London netan [dot] dogra [at] kcl [dot] ac [dot] uk Number Theory Diophantine geometry and arithmetic fundamental groups
Prof Vladimir Dokchitser University College London v [dot] dokchitser [at] ucl [dot] ac [dot] uk Number Theory Abelian varieties, L-values, Galois representations
Prof Simon Donaldson Imperial College London s [dot] donaldson [at] imperial [dot] ac [dot] uk Geometry Differential and algebraic geometry; global analysis
Dr Lorenzo Foscolo University College London l [dot] foscolo [at] ucl [dot] ac [dot] uk Geometry Differential Geometry
Dr Luis Garcia Martinez University College London l [dot] e [dot] garcia [at] ucl [dot] ac [dot] uk Number Theory Automorphic forms, Shimura varieties and special values of L-functions.
Prof Toby Gee Imperial College London toby [dot] gee [at] imperial [dot] ac [dot] uk Number Theory Galois representations and automorphic forms
Dr Mahir Hadžić University College London m [dot] hadzic [at] ucl [dot] ac [dot] uk Geometry Nonlinear partial differential equations and general relativity, free boundary problems and singularity formation phenomena.
Prof Rod Halburd University College London r [dot] halburd [at] ucl [dot] ac [dot] uk Geometry Integrable systems, singularities of differential equations
Dr David Helm Imperial College London d [dot] helm [at] imperial [dot] ac [dot] uk Number Theory Number theory and representation theory of p-adic groups
Dr Richard Hill University College London ucahrml [at] ucl [dot] ac [dot] uk Number Theory Cohomology of arithmetic groups
Dr Gustav Holzegel Imperial College London g [dot] holzegel [at] imperial [dot] ac [dot] uk Geometry Differential geometry and geometric analysis; general relativity
Dr Peter Jossen Imperial College London peter [dot] jossen [at] kcl [dot] ac [dot] uk Both Arithmetic geometry, Motives, motivic Galois groups.
Dr Nikon Kurnosov University College London n [dot] kurnosov [at] ucl [dot] ac [dot] uk Geometry Hyperkahler geometry, Algebraic geometry
Dr Marie-Amelie Lawn (Strategic Teaching Fellow) Imperial College London m [dot] lawn [at] imperial [dot] ac [dot] uk Geometry Lorentzian and Pseudo-Riemannian Geometry, Submanifold Theory, Spin Geometry
Dr Yanki Lekili Imperial College London y [dot] lekili [at] imperial [dot] ac [dot] uk Geometry Symplectic topology, mirror symmetry
Dr Steve Lester King's College London steve [dot] lester [at] kcl [dot] ac [dot] uk Number Theory Analytic number theory, L-functions, and automorphic forms.
Prof Xue-Mei Li Imperial College London mei [dot] li [at] imperial [dot] ac [dot] uk Geometry Parabolic PDEs, Hoermander type operators, Geometry of Stochastic processes, Stochastic perturbation and dynamical systems, Analysis on path spaces.
Prof Jason Lotay (Honorary Senior Research Associate) University College London j [dot] lotay [at] ucl [dot] ac [dot] uk Geometry Differential geometry and geometric analysis. Professor Lotay will move to the University of Oxford in January 2019, but will remain in an honorary position at UCL.
Dr Rachel Newton King's College London rachel [dot] newton [at] kcl [dot] ac [dot] uk Number Theory Rational points on algebraic varieties
Dr Johannes Nicaise Imperial College London j [dot] nicaise [at] imperial [dot] ac [dot] uk Both Arithmetic, Algebraic and Non-Archimedean Geometry
Dr Ambrus Pal Imperial College London a [dot] pal [at] imperial [dot] ac [dot] uk Number Theory Arithmetic algebraic geometry
Prof Dmitri Panov King's College London dmitri [dot] panov [at] kcl [dot] ac [dot] uk Geometry Symplectic, complex and hyperbolic geometry
Dr Owen Patashnick (Senior Research Fellow) King's College London owen [dot] patashnick [at] kcl [dot] ac [dot] uk Number Theory Arithmetic Geometry; periods, motives, algebraic cycles and rational homotopy theory.
Prof Yiannis Petridis University College London i [dot] petridis [at] ucl [dot] ac [dot] uk Number Theory Analytic number theory, automorphic forms and spectral theory
Dr Ian Petrow University College London i [dot] petrow [at] ucl [dot] ac [dot] uk Number Theory Analytic number theory, particularly the analytic theory of automorphic forms and L-functions.
Prof Konstanze Rietsch King's College London konstanze [dot] rietsch [at] kcl [dot] ac [dot] uk Geometry Lie Theory and Mirror Symmetry
Prof Simon Salamon King's College London simon [dot] salamon [at] kcl [dot] ac [dot] uk Geometry Differential geometry
Dr Travis Schedler Imperial College London t [dot] schedler [at] imperial [dot] ac [dot] uk Geometry Algebra, Noncommutative and Poisson Geometry, Representation Theory
Prof Simon Scott King's College London simon [dot] scott [at] kcl [dot] ac [dot] uk Geometry Topology, analysis
Dr Ed Segal University College London e [dot] segal [at] ucl [dot] ac [dot] uk Geometry Algebraic geometry and homological algebra
Prof Nick Shepherd-Barron King's College London nicholas [dot] shepherd-barron [at] kcl [dot] ac [dot] uk Geometry Algebraic geometry
Prof Michael Singer University College London michael [dot] singer [at] ucl [dot] ac [dot] uk Geometry Differential Geometry
Dr Steven Sivek (UCL Honorary Associate Professor) Imperial College London s [dot] sivek [at] imperial [dot] ac [dot] uk Geometry Low-dimensional topology, symplectic geometry, and gauge theory.
Prof Alexei Skorobogatov Imperial College London a [dot] skorobogatov [at] imperial [dot] ac [dot] uk Number Theory Arithmetic Geometry, Rational Points
Dr Calum Spicer King's College London calum [dot] spicer [at] kcl [dot] ac [dot] uk Geometry Algebraic geometry, with a particular focus on birational geometry and holomorphic foliations.
Dr John Talbot University College London j [dot] talbot [at] ucl [dot] ac [dot] uk Geometry Combinatorics, extremal problems for hypergraphs and graphs
Dr Martin Taylor Imperial College London martin [dot] taylor [at] imperial [dot] ac [dot] uk Geometry General relativity, geometric analysis, nonlinear partial differential equations.
Prof Richard Thomas Imperial College London richard [dot] thomas [at] imperial [dot] ac [dot] uk Geometry Algebraic geometry (mirror symmetry, moduli problems)
Prof Giuseppe Tinaglia King's College London giuseppe [dot] tinaglia [at] kcl [dot] ac [dot] uk Geometry Differential Geometry
Prof Dmitri Vassiliev University College London d [dot] vassiliev [at] ucl [dot] ac [dot] uk Geometry Spectral theory, microlocal analysis, geometric analysis and general relativity
Dr Aled Walker King's College London aled [dot] walker [at] kcl [dot] ac [dot] uk Number Theory Additive combinatorics, Analytic number theory, Correlations of point sequences modulo 1, Sieve weights and Higher order Fourier analysis
Prof Igor Wigman King's College London igor [dot] wigman [at] kcl [dot] ac [dot] uk Number Theory Analytic number theory, probability and stochastic processes, quantum chaos, spectral geometry.
Prof Andrei Yafaev University College London a [dot] yafaev [at] ucl [dot] ac [dot] uk Number Theory Arithmetic algebraic geometry
Dr Mehdi Yazdi King's College London mehdi [dot] yazdi [at] kcl [dot] ac [dot] uk Geometry Low-dimensional topology and geometry, foliations, and mapping class groups of surfaces.

Students

  1. Current students
  2. 2021 Cohort
  3. 2020 Cohort
  4. 2019 Cohort
  5. 2018 Cohort
  6. 2017 Cohort
  7. 2016 Cohort
  8. 2015 Cohort
  9. Alumni