An EPSRC Doctoral Training Centre in Geometry and Number Theory

LSGNT

London School of Geometry & Number Theory

2024 Cohort

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Simon Gabriel Alonso

Research interests: Number Theory

Institution: Imperial College London

Website: None

I did my undergraduate and master's degrees at the ENS de Lyon where I had the opportunity to work on different aspects of the theory of deformations of Galois representations, and particularly the residually reducible case. Now I am studying p-adic and arothmetic geometry under the supervision of Ana Caraiani. Outside of Maths, I enjoy playing volleyball, cooking for friends, listening to music, watching movies, and reading.


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Ashesh Bati

Research interests: Geometry

Institution: King's College London

Website: None

I am an algebraic geometer, particularly interested in moduli and enumerative geometry, though I’ve been interested in arithmetic geometry too. Before LSGNT, I completed my undergraduate and Part III in Cambridge, where I did my essay on Bridgeland Stability and Donaldson-Thomas Invariants, particularly focusing on the MNOP conjecture. Outside of Maths, I like to listen to music, cooking, watching films and going on walks.


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Natasha Diederen

Research interests: Geometry

Institution: Imperial College London

Website: None

My main area of interest is geometric analysis, particularly geometric measure theory and minimal surface theory. During my undergraduate at Warwick, I worked on a project relating to the Bernstein problem for minimal surfaces, as well as one on generalising of binormal curvature flow using currents. During my master's at Cambridge, I wrote an essay on the regularity of energy minimising maps between manifolds. Outside of Maths, I enjoy sewing, crochet, cycling, climbing and hiking.


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Silvia Gangeri

Research interests: Geometry

Institution: University College London

Website: None

As a geometer, something that really intrigues me is the relationship between the different structures that can be placed on manifold. During my Master's degree in La Sapienza, I was mainly focused on hyperbolic geometry and its connections to topology, but in the last few months my interests have shifted towards a more algebraic approach. Currently, I'm especially interested in birational geometry and moduli spaces and I plan to delve deeper into these topics during my first year. Outside of mathematics, I enjoy exploring as many topics as I can. If you can't find me in the Maths Department, you can probably spot me anywhere near a bookstore with a good shot of espresso in one hand and a book on psychology on the other.


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Lucie Gatzmaga

Research interests: Number Theory

Institution: King's College London

Website: None

I am currently interested in algebraic number theory and arithmetic geometry. Before coming to the LSGNT, I completed my Bachelor’s degree in Mathematics at the University of Warwick and Part III at the University of Cambridge. During my Master’s year, I worked on a Part III essay about the surjectivity of Galois representations attached to elliptic curves and Serre’s Uniformity Problem. Besides thinking about Maths, I also enjoy playing the violin, skiing, reading novels and practising yoga.


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Yuze Jiang

Research interests: Geometry

Institution: University College London

Website: None

Hi, this is Yuze. I study geometric analysis, geometric measure theory, and general regularity theory for nonlinear Partial Differential Equations.


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Haoran Liang

Research interests: Number Theory

Institution: King's College London

Website: None

I am a PhD student working with Payman Kassaei and Fred Diamond at KCL. Though broadly interested in number theory and its intersecting areas, currently I am focusing on p-adic modular forms. Before coming to London I did my Master’s at ETH Zürich and Bachelor’s at Xi’an Jiaotong University. Outside mathematics, I can usually be found reading, playing badminton, or wandering various exhibits at museums.


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Zhaoyang Liu

Research interests: Geometry

Institution: King's College London

Website: None

At the moment I am interested in the connection between mirror symmetry raised from different points of view and Erdos conjecture in addictive combinatorics. Before joining LSGNT, I did my undergraduate at Sun Yat-sen University. Apart from Maths, I like playing table tennis and video games, for example, Arknights, Civilization VI and Black Myth: Wukong!


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Patrick Luo

Research interests: Geometry

Institution: Imperial College London

Website: None

I am mainly interested in algebraic geometry. Before joining the LSGNT, I was at Cambridge, where I wrote an essay on mirror symmetry and more specifically the Gross-Siebert program. Outside of Maths I enjoy running, cycling, climbing, badminton, and (most importantly) sleeping.


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Xander Povey

Research interests: Geometry

Institution: Imperial College London

Website: None

I work in low-dimensional topology which covers a lot of different things. I'm mostly interested in how the geometry of a manifold interacts with its topology. Think like the Gaus-Bonet theorem for closed surfaces. In the summer of 2024, I researched, under Simon Donaldson's supervision, how Seiberg-Witten theory and the corresponding Seiberg-Witten invariants can be used to study the differential topology of 4-manifolds. Outside of Maths, I love to cook and play with my two puppies.


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Naina Praveen

Research interests: Number Theory

Institution: University College London

Website: None

I'm broadly interested in Algebraic number theory. At the moment, I find objects like Galois representations and elliptic curves fascinating. Before joining the LSGNT, I did my master's at the University of Cambridge and undergraduate degree at Ashoka University, India. Besides mulling over problems, I like art, badminton, caring for an unreasonable number of house plants and cooking food for my friends!


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Yichen Zhang

Research interests: Geometry

Institution: University College London

Website: None

I am deeply interested in geometry and topology, particularly in exploring their interactions through analytical tools. I like to observe problems from multiple perspectives—topological, differential-geometric, and algebro-geometric. Previously, I completed my undergraduate degree at Tsinghua University. Outside of mathematics, I enjoy taking walks, listening to pop music, and watching movies.