An EPSRC Doctoral Training Centre in Geometry and Number Theory

LSGNT

London School of Geometry & Number Theory

2019 Cohort

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Lambert A'Campo

Research interests: Both

Institution: King's College London

I moved to London from Switzerland in 2018 for my Master's Course at Imperial. I am interested in a wide range of mathematics because I like to see the connections between different theories. For example the solution of the sphere packing problem in dimension 8 and 24 uses Fourier theory and modular forms. In my master's dissertation I studied Galois Cohomology where homological algebra and number theory come together. Otherwise I like netflix and skiing.

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Jessica Black

Research interests: Number Theory

Institution: University College London

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I’m interested in number theory, specifically elliptic curves. Before coming to the LSGNT I studied in Durham, where I did a project about rational points on elliptic curves. Outside of maths I enjoy baking (do ask about my beloved sourdough starter), volunteering, and making (sometimes mathematical) origami.

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Abigail Burton

Research interests: Both

Institution: Imperial College London

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I am currently learning about the geometry of Shimura varieties under the supervision of Dr Ana Caraiani and am interested in its applications to the Langlands programme. Before coming to the LSGNT, I studied at the University of Oxford where I spent my summers working on projects within different areas of mathematics.

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Riccardo Carini

Research interests: Both

Institution: Imperial College London

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I am mostly interested in complex algebraic geometry and moduli problems, but I am trying to learn more about the interplay between geometry and algebraic number theory. Before coming to London, I studied in Milan, where I completed my Master's degree with a project on moduli spaces of sheaves on K3 surfaces. Outside of maths, I really enjoy literature and music, going to the theatre and hiking.

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Joshua Daniels-Holgate

Research interests: Geometry

Institution: University College London

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I am a Geometric Analyst, with a particular interest in geometric flows. I completed my MSci at UCL, and my dissertation on Kähler geometry, in particular using the peaked section methods of Tian to prove the Kodaira embedding theorem. Outside of Maths I enjoy reading and climbing.

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Alessio Di Lorenzo

Research interests: Geometry

Institution: University College London

I am principally interested in Complex Analytic and Differential Geometry, and I have been studying techniques for finding solutions (and their regularity) of complex Monge-Ampère equations. I graduated from La Sapienza, in Rome, with a Master's thesis revolving around the Calabi Conjecture and the search for Kähler-Einstein metrics. I also spent most of my last year at Sorbonne Université, in Paris. Outside mathematics, I like studying languages, writing stuff and developing simple videogames.

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Holly Green

Research interests: Number Theory

Institution: University College London

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I am a PhD student studying algebraic number theory, specifically elliptic and hyperelliptic curves, at UCL and I am also part of the LSGNT. Having just begun my research, I'm currently learning about the Birch and Swinnerton--Dyer conjecture, a result that I hope to be able to provide evidence for later on. Outside of maths, I dedicate my time to cooking, practicing yoga and exploring the world.

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Soham Karwa

Research interests: Both

Institution: Imperial College London

While my interests are still rather broad, I love the connections between Number Theory and Algebraic Geometry and am currently learning more about Shimura Varieties and Birational Geometry (with a splash of String Theory!). I did my Undergraduate and Part III at Trinity College, University of Cambridge where I specialised in Number Theory and did my Part III essay on the Arithmetic Statistics of Elliptic Curves with Professor Jack Thorne. During my studies, I have done research projects in Noncommutative Differential Geometry (with Professor Shahn Majid) , the Theory of Entropic Interaction (with Dr Thierry Savin) and Arithmetic Statistics (with Professor Jack Thorne). Outside of my Academic life, you will find me telling stories about Maths and Science through my project ‘Mathmo’. Mathmo is an educational platform which brings to life the human stories behind the ideas in Maths and Science. And when I have had enough, I seek the yoga mat to stretch and meditate. I love to have interesting conversations and hear peoples stories so if you would like to chat do send me an email at soham@mathmo.xyz.

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Teresa Ludenbach

Research interests: Geometry

Institution: King's College London

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My interests include symplectic and low dimensional topology. These were fostered during my undergraduate degree at UCL and lead to a masters dissertation on surface singularities. Mathematics aside, I love dancing and teaching salsa, as well as classical music, time in nature and good food with friends and family.

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Jesse Pajwani

Research interests: Both

Institution: Imperial College London

I'm interested in looking at the interplay between algebraic geometry and number theory, particularly the ways in which schemes and sheaf cohomology can be used to understand classical number theory ideas. Before coming to the LSGNT, I was at Oxford, and for my dissertation, I used Galois Cohomology to compute the Algebraic K Theory of finite fields. I also really enjoy cooking, hiking, and playing pool.

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Ivan Solonenko

Research interests: Geometry

Institution: King's College London

My principal mathematical interests lie in differential geometry, with a focus on symmetric spaces, Lie theory, and spin geometry. I also feel profound love and respect towards complex geometry, algebraic geometry, differential topology, and various analytic methods in geometry (and functional analysis, my favourite guilty pleasure). Before coming to London I studied at the Higher School of Economics in Moscow. Outside of maths, I enjoy meditation, singing, listening to tons of unpopular music, watching birds, and exploring various types of art in London.

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Hannah Tillmann-Morris

Research interests: Geometry

Institution: University College London

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I’m interested particularly in algebraic and complex geometry although there are many areas in pure Maths I’ve come to the LSGNT to learn more about! I did my undergraduate studies at Imperial College (with year at the Humboldt University in Berlin), where my final year project involved looking at some elementary problems and methods in enumerative geometry, supervised by Tom Coates. Apart from Maths I like to sing and play music and enjoy what London has to offer on weekends.

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Laura Wakelin

Research interests: Geometry

Institution: Imperial College London

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I’m interested in low-dimensional topology and knot theory. During my undergraduate degree at UCL, I carried out summer research projects on hyperbolic 3-manifolds and higher homotopy groups. Last year, I wrote about the Heegaard Floer contact invariant for my Part III essay at Cambridge. Outside of mathematics, I enjoy playing the alto saxophone in the UCL Jazz Big Band and experimenting with vegan cooking.

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Ashvni Narayanan

Research interests: Number Theory

Institution: Imperial College London

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I'm interested in algebraic number theory, especially Iwasawa theory. I studied Galois representations of elliptic curves during my Masters. But I prefer to lecture on Collatz Conjecture to any interested listener. My hobbies are listening to music, learning to play the flute, travelling, and hiking.