An EPSRC Doctoral Training Centre in Geometry and Number Theory

LSGNT

London School of Geometry & Number Theory

2020 Cohort

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Jamie Bell

Research interests: Number Theory

Institution: University College London

Website:

I’m interested in Number Theory, primarily in elliptic curves. Before coming to LSGNT, I did my undergraduate and part III at Cambridge. Outside of maths, I like baking and sport, particularly running, cycling and rowing. I’m also involved in organising camps and marking papers for UKMT.

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Marta Benozzo

Research interests: Geometry

Institution: University College London

Website:

I am mostly interested in algebraic and birational geometry, not only over the complex numbers. This year I will focus on learning more about the minimal model program and some applications of birational geometry in the theory of derived categories. For my master I was part of the ALGANT (Algebraic Geometry and Number Theory) program and I studied in Padua (Italy) and Montreal (Canada), my master thesis was about orbifold rational points on varieties, in particular I studied how it's possible to construct a fibration with orbifold base of general type (conjecturally mordellic) and special fibers (conjecturally potentially dense). Outside of mathematics, I love singing, going to see musicals/ operas and going out in the snow.

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Lilybelle Cowland Kellock

Research interests: Number Theory

Institution: University College London

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I am interested in algebraic number theory. I did my bachelor’s degree at Durham where my thesis was about solutions to the Markoff equation in the p-adics, and my master’s degree at Imperial where my thesis was about the Herbrand-Ribet theorem and studying Kolyvagin’s method. This year I’ll be looking at consequences of the Birch and Swinnerton-Dyer conjecture and mod p modular forms. With the LSGNT, I hope to get more involved in mathematical outreach. Outside of maths some of my favourite things are discovering new food, music and fashion, perfecting my recipes and charity shopping.

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Robert Crumplin

Research interests: Geometry

Institution: University College London

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I am mostly interested in algebraic geometry, in particular mirror symmetry and enumerative geometry. My master's thesis was on the SYZ conjecture with Mark Gross, where I did Part III and undergraduate at Cambridge. I am currently interested in learning more about mirrors to Fano varieties and anything fun in general! Outside of being confused, I enjoy going on walks and exploring the countryside with my girlfriend, playing chess and spending time with my dog.

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Ilaria Di Dedda

Research interests: Geometry

Institution: King's College London

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Bence Sandor Hevesi

Research interests: Number Theory

Institution: University College London

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I'm interested in algebra and number theory and recently I've been learning about the p-adic geometry of Shimura varieties and topics related to Langlands reciprocity. Before coming to the LSGNT, I completed my master's at the University of Bonn where in my thesis I studied the geometry of the de Rham affine Grassmannian under the supervision of David Hansen. In my free time, I enjoy bouldering.

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Edwin Hollands

Research interests: Geometry

Institution: University College London

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​I have interests generally in Algebraic Geometry and specifically in Derived Categories of Coherent Sheaves on a Scheme. I am currently studying different structures on these categories, their decompositions and resolutions, with a particular focus on concrete low-dimensional examples. Outside of studying I enjoy reading about philosophy and evolutionary biology. I like many watersports from whitewater kayaking to windsurfing and sailing, but on a more regular basis I relax by spending time among animals and nature, most often feeding waterbirds at a lake or stream.

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Alexandros Konstantinou

Research interests: Number Theory

Institution: University College London

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I am interested in Algebraic Number Theory - in particular the arithmetic of elliptic curves and higher dimensional analogues. Before the beginning of my PhD, I studied at UCL, then moved to Oxford for my Master's degree, where my thesis was about Neukirch's axiomatic class field theory approach and Kronecker's Jugendtraum. In my free time, I practise the piano, catch up with numerous TV shows (reality shows mainly), and I also enjoy long walks/hikes.

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Dingli Liang

Research interests: Both

Institution: University College London

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Kobe Marshall-Stevens

Research interests: Geometry

Institution: University College London

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I am a PhD student in Geometric Analysis at UCL, aligned with the LSGNT. My research is focused on singular minimal hyper surfaces, specifically those produced by min-max methods. Broadly my mathematical interests are in the areas of geometric measure theory, PDEs and differential geometry. Before LSGNT I completed my undergraduate and masters studies at The University of Warwick.

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Simen Moe

Research interests: Geometry

Institution: Imperial College London

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I’m interested in the birational geometry of algebraic varieties. Before coming to London I did my undergraduate and partly graduate studies at the University of Oslo, and the part III program in Cambridge. In my master’s thesis I focused on rationality questions and how degeneration techniques can help to answer these. At the moment I’m interested in how other areas of geometry interact with birational geometry, for example tropical and non-archimedean geometry. Besides maths, I enjoy cooking and playing sports.

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Lucy Phillips

Research interests: Geometry

Institution: University College London

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I’m mainly interested in low-dimensional topology. I did my undergraduate degree at the University of Glasgow, where I did one dissertation on contact geometry and open book decompositions, and another on Teichmueller flow in the moduli space of flat surfaces. This year, though, I’m hoping to learn more about lots of areas of pure maths and I aspire to eventually spend entire minutes at a time having a clue what’s going on. In my free time I enjoy cryptic crosswords, reading, playing the piano and violin, and talking about life.

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Dmitry Ulyumdzhiev

Research interests: Geometry

Institution: University College London

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Sara Veneziale

Research interests: Geometry

Institution: University College London

I am interested in geometry and topology, with a computational flavour. Before joining the LSGNT, I obtained my MMath from the University of Warwick, where I did my master's thesis in algebraic topology. I also spent a summer doing an internship in Bremen with the DAAD, where I performed computations with dynamical systems. Currently I am looking at mirrors of Fano varieties using tools from data analysis and machine learning, and my supervisors are Tom Coates and Alexander Kasprzyk. Outside of maths, I love cooking and am passionate about environmental issues.

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Francesco Viganò

Research interests: Both

Institution: University College London

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I am mainly interested in Algebraic Geometry, but always open to learning more topics I know nothing about. Before moving to London, I studied in Milano and Orsay, near Paris, where I completed my Master’s with a project on Hodge Theory of the Twistor Space of a complex K3 Surface. Mathematics aside, I enjoy cooking, playing tennis and wandering around the centre of London by bike.

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Pascale Voegtli

Research interests: Geometry

Institution: University College London

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My primary interests lie in the area of algebraic geometry, mainly but by no means exclusively in birational geometry. Aside from this, I am enthusiastic about almost any geometry related topic and am particularly interested in the fruitful interplay of disciplines, such as differential/complex geometry and algebraic geometry. I did my Master’s degree under the supervision of Prof. Jérémy Blanc in Basel, Switzerland, it was centered around the topic of Del Pezzo surfaces. Outside of math I am a passionate cyclist and cross-country skier but also like vegan cooking and enjoy debates/discussions on politics.

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Marios Voskou

Research interests: Number Theory

Institution: University College London

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I am a PhD Student at UCL studying Analytic Number Theory. I am also aligned with the LSGNT. I am currently focusing on the Spectral Theory of Automorphic Forms, but my interests are still rather broad. I did my Undergrad and Part III at the University of Cambridge (Queens' College), specializing on Number Theory and (partially) Logic. In my Part III essay I explored recent developments on Large Gaps Between Primes. Outside of maths, I spend most of my time reading books, listening to music and cooking. I am also interested in teaching.

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Wojtek Wawrów

Research interests: Both

Institution: University College London

My interests lie mainly in the area of arithmetic geometry, especially the many flavors of non-Archimedean geometry. I have completed my MSc in Oxford with a dissertation on Berkovich spaces and am currently interested in the theory of perfectoid spaces. Mathematics aside, in Oxford I used to be a member of a rowing team, a sport which I am hoping to get back into once it is again possible.

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Myles Workman

Research interests: Geometry

Institution: University College London

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My main area of interest is geometric analysis. I am particularly interested in geometric flows, which was sparked during my master's thesis on curve shortening flow. This year I'm hoping to start looking further into PDE theory, especially where and when it applies to geometry, e.g. geometric flows, minimal surfaces and index theory, as well as develop my tool kit in other related areas like geometric measure theory and functional analysis. When not doing maths I can usually be found in a pub, a park or fast asleep on a nightbus.

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Wei Zhou

Research interests: Both

Institution: University College London

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I am interested in representation theory that is related to geometry or number theory. To be more specific, I would like to study geometric representation theory (which realizes representations of algebraic objects in relevant geometric constructions) and representations over non-archimedean fields (e.g. of p-adic groups). Thanks to a pool of academic staff with diverse research interests, I can pursue this in both directions during my first year at the LSGNT.