An EPSRC Doctoral Training Centre in Geometry and Number Theory

LSGNT

London School of Geometry & Number Theory

2018 Cohort

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Federico Barbacovi

Research interests: Geometry

Institution: University College London

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I’m interested in algebraic geometry, in particular in studying geometric problems with the tools of homological algebra. Before coming to London, I studied in Rome, where I completed my master's degree doing a project on D-modules and Riemann-Hilbert correspondence. Outside of mathematics, I enjoy reading, playing board games, playing volleyball and watching films.

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Federico Bongiorno

Research interests: Both

Institution: University College London

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I enjoy discovering how seemingly unrelated mathematical notions arise as instantiations of the same idea in different geometric and arithmetic contexts. Examples of this phenomenon include curvature of vector bundles and ampleness of locally free sheaves, Galois theory and covering spaces, ramification of primes in rings of integers and critical points in Morse theory. I have completed my Bachelor's degree at Imperial College and my Master's degree at Cambridge where I mostly focused on algebraic geometry. In my spare time, I play the flute in UCL Symphony Orchestra and basketball in the university team.

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Dominik Bullach

Research interests: Number Theory

Institution: University College London

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I’m an algebraic number theorist and am particularly interested in Iwasawa theory and Stark’s conjectures (and refinements). Before coming to London I studied in Munich where I worked under the supervision of Werner Bley. When not doing maths, I’m most likely spending my time with music.

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Jordan Docking

Research interests: Number Theory

Institution: University College London

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I'm interested in Number Theory, and currently looking at Elliptic Curves and Diophantine Geometry, although I have been known to maraud as a Functional Analyst in the past. Before joining the LSGNT I did both my undergraduate and master's degrees at the Queen's College, Oxford, writing my dissertation on C*-algebras and the Gelfand--Naimark theorems. Beyond maths I enjoy watching old films, playing golf (when time allows) and supporting Fulham FC.

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Jordan Hofmann

Research interests: Geometry

Institution: University College London

I am primarily interested in differential geometry, with a focus on the representation theory of geometric objects (Lie groups, Clifford algebras, etc.). Before coming to London, I obtained my BSc from the University of Toronto, where I worked with Professor Kasra Rafi on hyperbolic geometry and compact Lie group representations. Other interests of mine include opera, singing/playing piano, and cooking.

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Kostas Leskas

Research interests: Geometry

Institution: University College London

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I am currently interested in geometric analysis and more specifically geometric measure theory, PDE methods and minimal surfaces. What fascinates me about the field of geometric analysis is its flexibility towards solving very difficult geometric problems. One such is, given a fixed boundary, to find a manifold with that boundary that minimizes area. As it turns out this problem is not solvable in the class of smooth manifolds and one has to enlarge its admissible set to allow singular objects and this is were geometric measure theory comes in to establish a solution for this problem. I am more specifically interested on singularities that can occur on minimial surfaces and studying their behaviour. Apart from geometric measure theory, I am interested in mathematical problems solved using PDE methods. Such problems can occur from Einstein's field equations in relativity to holonomy theory of manifolds (i.e Calabi- Yau manifolds and their existence). I have acquired my BSc degree at the university of Athens and my MSc at Imperial , where I did my dissertation on universal Teichmuller space and Teo-Takhtajan theory. Apart from maths I enjoy reading good literature books, watching movies and exploring life with lots of coffee!"

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Wendelin Lutz

Research interests: Geometry

Institution: University College London

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My interests mainly lie within Geometry and Topology. I did my undergraduate at Imperial, and then Part III in Cambridge, where I wrote my essay on Topological Hochschild Homology. Outside of mathematics, I enjoy playing the piano and singing, as well as cooking.

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John McCarthy

Research interests: Geometry

Institution: University College London

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I am interested in geometry and its interactions with mathematical physics. In particular I am interested in gauge theory and the construction of moduli spaces, and the use of techniques from many areas including complex, symplectic, and algebraic geometry to study such objects. Before starting my PhD in London I completed an M.Phil at the University of Adelaide studying moduli spaces of bundles over compact Riemann surfaces.

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Jaime Mendizabal

Research interests: Geometry

Institution: University College London

My mathematical interests lie mostly in differential geometry, although I've been known to do some analysis in the past. During my master's at Cambridge I focused on differential geometry and PDEs, and wrote my essay on the Hodge decomposition theorem. Before that, I studied in Madrid, where I did some complex analysis, as well as a bit of computer science. In the real world, I enjoy reading (mostly novels, but also the occasional comic book), walking through the city or the countryside, listening to music and cycling. I am also interested in education and teaching (specially mathematics).

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Gabriel Micolet

Research interests: Both

Institution: University College London

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I am mainly interested in number theory, specifically in modular/automorphic forms and their associated galois representations. I did my BSc at Warwick before going on to do Part III at Cambridge where I wrote an essay on weight 1 modular forms. I also enjoy other stuff, eg cooking, listening to music and climbing.

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Mafalda Milheiro Marques da Silva Santos

Research interests: Both

Institution: University College London

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I am mainly interested in Arithmetic Algebraic Geometry. I did my Master's degree in the University of Bonn, where I wrote my Master thesis about the resolution of singularities of certain unitary Shimura varieties over ramified primes with Professor Yichao Tian. I am currently learning some p-adic Hodge theory, and trying to learn something related to the local Langlands correspondence. Outside of mathematics, I enjoy reading and cooking.

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Borislav Mladenov

Research interests: Both

Institution: University College London

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Miriam Norris

Research interests: Both

Institution: University College London

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I have been interested in areas relating to both geometry and number theory but I fear I am an algebraist at heart. In my final year of my undergraduate at Edinburgh University I did projects on representation theory and random walks on groups and now I am learning more about how random processes on algebraic structures (groups, representations, even alcoves...) can produce interesting results in algebra and geometry. I think this is really exciting. Outside of maths I enjoy anything that involves being outside somewhere beautiful.

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Corvin Paul

Research interests: Geometry

Institution: University College London

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I am originally from a town near Stuttgart and studied for my Bachelor's degree at the Karlsruhe Institute of Technology and Master at the University of Copenhagen. I've been interested in many topics including algebraic/arithmetic geometry, homotopy theory and operator algebras, and wrote my Master's thesis with Dustin Clausen on perfectoid algebras. I hope to learn more things revolving around gauge theory in the first year. When I am not doing mathematics I usually swim, read books, learn French or struggle with finding bicycle routes in London.

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Bruno Ricieri Souza Roso

Research interests: Both

Institution: University College London

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Interests: differential geometry,especially gauge theory and its applications to three and four dimensional manifolds.

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Qaasim Shafi

Research interests: Geometry

Institution: University College London

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Before joining the LSGNT I studied at Imperial for four years where last year I did a project in Enumerative Tropical Geometry with Professor Richard Thomas. This year, I will be working with Gromov-Witten invariants and derived categories. I am originally from Manchester, and outside Mathematics I like doing martial arts, mainly Muay Thai and Brazilian Jiu Jitsu.

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Tom Sharpe

Research interests: Both

Institution: University College London

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I am a Christian, who enjoys seeing the beauty, creativity, and precision of God reflected in pure mathematics. I am interested in both Geometry and Number Theory—my particular areas of interest therein are Geometric and Low-Dimensional Topology, and Elliptic Curves respectively. I did my master's dissertation, entitled 'Solving the Equivalence Problem for Hyperbolic Knots', at Oxford with Prof. Marc Lackenby. In my spare time I enjoy long board games sessions, playing violin, and going on country walks with my wife Eleanor!

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Liam Stigant

Research interests: Geometry

Institution: University College London

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I'm mainly interested in algebraic geometry, in particular birational geometry with an emphasis on cohomological techniques. My interest in the area was first piqued when I completed a thesis on the birational classification of algebraic surfaces as an undergraduate at Oxford. I've taken the opportunity provided by the LSGNT to explore a variety of methods within this general field; I'm currently undertaking projects on the cone theorem in various characteristics and the invariance of the derived category of quasi-coherent sheaves under threefold flops. When I'm not doing maths, talking about maths or otherwise thinking about maths, I enjoy fencing, reading and playing video games.

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Christopher Sulzdorf

Research interests: Number Theory

Institution: University College London

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My research interests centre in the field of analytic number theory, specifically applications of Zeta functions and their related conjectures. Through the study of automorphic forms, I’m beginning to broaden my perspective in this area of mathematics. I obtained my master’s degree at the University of Bristol in the study of Eulerian Beta integrals, and applications to non-linear Euler sums. Other interests include cooking, cycling and calisthenics.

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Roberto Ladu

Research interests: Geometry

Institution: University College London

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I am interested in Differential/Geometric Topology and Differential Geometry. I particularly like the exploitation of analytical techniques to understand the topology of manifolds, some examples include Morse Homology, Gauge theory and of course, Curvature. I also enjoy some good Mathematical-Physics from time to time. Apart from these "concrete" things, I appreciate movies, music, comics and nerdy things in general.