Director and Mental Health Champion

a [dot] corti [at] imperial [dot] ac [dot] uk

Geometry (high-dimensional birational geometry).

Differential Geometry

Geometric group theory

Modular forms, Galois representations, mod p Langlands, generalizations of Serre's conjecture

Co-Director Publicity and Recruitment

k [dot] buzzard [at] imperial [dot] ac [dot] uk

Formal proof verification in number theory

Geometric measure theory, Geometric analysis, Calculus of variations and Elliptic PDEs.

Arithmetic geometry, (p-adic) automorphic forms, Shimura varieties

Centre Manager

enquiries [dot] lsgnt [at] ucl [dot] ac [dot] uk

Centre Administrator

s [dot] saminathan [at] ucl [dot] ac [dot] uk

Name | Institution | 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 Aleksander Doan | University College London | a [dot] doan [at] ucl [dot] ac [dot] uk | Geometry | Differential geometry, gauge theory, symplectic topology |

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 Selim Ghazouani | University College London | s [dot] ghazouani [at] ucl [dot] ac [dot] uk | Geometry | Geometric structures on manifolds, Moduli spaces and applications to Dynamical Systems |

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 | King's College London | peter [dot] jossen [at] kcl [dot] ac [dot] uk | Both | Arithmetic geometry, Motives, motivic Galois groups. |

Dr Mikhail Karpukhin | University College London | m [dot] karpukhin [at] ucl [dot] ac [dot] uk | Geometry | Eigenvalue optimisation, minimal surfaces, harmonic maps |

Dr Nikon Kurnosov | University College London | n [dot] kurnosov [at] ucl [dot] ac [dot] uk | Geometry | Hyperkahler geometry, Algebraic geometry |

Dr Jean Lagacé | King's College London | jean [dot] lagace [at] kcl [dot] ac [dot] uk | Both | Spectral geometry, geometry of numbers, aperiodic order. |

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 Marco Mendez Guaraco | Imperial College London | guaraco [at] imperial [dot] ac [dot] uk | Geometry | |

Dr Anthea Monod | Imperial College London | a [dot] monod [at] imperial [dot] ac [dot] uk | Geometry | Applied and computational algebraic topology; applied and computational algebraic geometry; metric geometry; statistics and machine learning; mathematical biology |

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 |

Dr Beth Romano | King's College London | beth [dot] romano [at] kcl [dot] ac [dot] uk | Number Theory | Local Langlands correspondence, arithmetic invariant theory, representations of reductive groups |

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. |

Dr Zoe Wyatt | King's College London | zoe [dot] wyatt [at] kcl [dot] ac [dot] uk | Geometry | General relativity, geometric analysis, nonlinear partial differential equations. |

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. |