An EPSRC Doctoral Training Centre in Geometry and Number Theory

LSGNT

London School of Geometry & Number Theory

2023 Cohort

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Alberto Acosta Reche

Research interests: Number Theory

Institution: University College London

Website: None

I am currently interested in analytic number theory, especially in spectral aspects of automorphic forms. I did my undergraduate at the Complutense University of Madrid, and then I completed my master's degree at the University of Bonn. For my master thesis I studied the error term in Weyl's law for arithmetic hyperbolic surfaces. Apart from maths, I love running and reading, and I'm a big fan of Formula One.


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Edwina Aylward

Research interests: Both

Institution: University College London

Website: None

I am currently interested in algebraic number theory. I did my undergraduate degree at Trinity College Dublin, and then a master's degree at the University of Cambridge. My undergraduate thesis was in algebraic topology, studying the Steenrod algebra mod 2. At Cambridge, I wrote an essay on the modularity theorem. When I have the time, I enjoy going to shows, reading, and music.


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Ines Chung-Halpern

Research interests: Geometry

Institution: University College London

Website: None

My interests currently lie in the area of complex algebraic geometry, particularly Hodge theory and Kähler geometry, but I have also recently become more interested in areas such as birational geometry. I completed my bachelor’s degree at Yale University, where I completed my senior project on the geometry of the Modular Group. When not doing maths, I can usually be found playing the violin, painting, or wandering the dinosaur exhibits at the Natural History Museum with a good audiobook.


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Samuele Ciprietti

Research interests: Both

Institution: University College London

Website: None

I am mostly interested in algebraic geometry, in particular birational geometry. Before joining the LSGNT, I completed my master's degree at Sapienza University in Rome, where I did my thesis on some results of the minimal model program. I also enjoy learning about connections between different theories and various aspects of mathematics. Outside of maths, I love cooking, making pizza and experiencing different cultures. I like reading, mostly novels, listening to music and practicing any type of outdoor activities, like hiking or running.


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Calum Crossley

Research interests: Geometry

Institution: University College London

Website: None

At the moment I am most interested in algebraic geometry, both classically and in positive/mixed characteristic. Before the LSGNT I completed an integrated master's in mathematics at Oxford, with a thesis on the application of p-adic analysis to study the zeta functions and cohomology of varieties over finite fields. Apart from maths, I'm a big fan of music (especially jazz), rhythm games, and walks with greenery.


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Yiannis Fam

Research interests: Number Theory

Institution: University College London

Email: None

I am mainly interested in number theory, particularly modular/automorphic forms and aspects of the Langlands program. Previously I studied an MPhil at the University of Melbourne under Alex Ghitza and Chenyan Wu, where my thesis was on mod p modular forms on Shimura curves. Before that, I completed Part III at the University of Cambridge with an essay on 2-descent on the Jacobian of a hyperelliptic curve. Outside of maths, I enjoy playing badminton and squash, reading, painting and exploring.


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Izaak Haywood Fairclough

Research interests: Both

Institution: University College London

Website: None

My interests are best classified as algebraic number theory and arithmetic geometry. I like things related to the Langlands Program, in particular mod p and p-adic aspects. Before LSGNT I was at Cambridge; I did a Part III essay on the deformation theory of abelian schemes (the Serre-Tate theorem). Away from maths I enjoy playing badminton, watching tennis, and cooking. I also play guitar and bass, mostly for my own entertainment.


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Abhishek Khannur

Research interests: Geometry

Institution: University College London

Website: None

I am interested in geometry, particularly algebraic geometry. Currently, the main mathematical objects I am interested in are moduli spaces of sheaves, derived categories of coherent sheaves, K3s, hyperkahlers, etc. I also like to learn and borrow ideas from physics. My Masters studies at CMI, Chennai involved, among other things, understanding the relationship between birationality and derived equivalence, especially for GIT quotients and certain flops of moduli spaces.


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Paul Lezeau

Research interests: Both

Institution: University College London

Website: None

As an arithmetic geometer, my interests lie at the intersection between number theory and algebraic geometry, although I also really enjoy learning about differential geometry. I'm also quite curious about all things related to the mathematics of machine learning, and enjoy playing around with Lean (the theorem prover). Before moving to London, I did my BSc in Warwick and and my masters in Cambridge (Part III), where I spent quite a while thinking about moduli problems and deformation theory. When I'm not at the office, I can usually be found reading a book with a cup of simmering coffee, chatting with friends, or suffering from coffee jitters.


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Albert Lopez Bruch

Research interests: Number Theory

Institution: University College London

Website: None

I am interested in algebraic number theory, particularly in the arithmetic of elliptic curves. Before joining the LSGNT, I did my undergraduate and master's degrees at the University of Oxford. My master's essay was on the failure of the Hasse principle on certain families of surfaces. Outside of maths, I enjoy playing board games and various sports including padel tennis, handball, hiking and mountain biking.


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Roktim Mascharak

Research interests: Both

Institution: University College London

Website: None

My area of interest is Algebraic Geometry, more specifically Birational Geometry. Before joining LSGNT, I completed MSc. in mathematics at Tata Institute of Fundamental Research, Mumbai. I did master’s thesis on Fundamental Theorems of Minimal Model Program and Shokurov’s reduction for existence of Flips, under supervision of Professor Omprokash Das. Outside maths I am a huge fan of music and I love exploring different kinds of music. I also love watching anime, movie and reading novels


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Parsa Mashayekhi

Research interests: Geometry

Institution: University College London

Website: None

I am interested in geometry and topology. Currently, I'm curious about low-dimensional topology problems. I completed my Bachelor's degree at Sharif University in Tehran, and then I completed my master's degree at ENS de Lyon, where I worked on marked length spectrum rigidity and JT gravity. Besides math, I enjoy physics, ultimate frisbee, chess, and puzzles.


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Catinca Mujdei

Research interests: Number Theory

Institution: University College London

Website: None

I am mainly interested in number theory, ranging from the analytic side to topics in arithmetic geometry, which I look forward to learning more about at the LSGNT. I completed my master's degree at the University of Bonn, where I wrote my thesis on Kloosterman sums over reductive groups, with orthogonal groups as a particular case. Besides maths, I really enjoy playing the violin, skiing, and going for long walks (both in Hampstead Heath and through the mountains).


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Jakab Schrettner

Research interests: Both

Institution: University College London

Website: None

I am mainly interested in algebraic number theory, but I also enjoy learning more about algebra and all flavours of geometry. Before London, I completed my undergraduate and master's degrees at Cambridge. Outside of maths, I enjoy reading, watching films, playing board games and running.


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Bogdan Simeonov

Research interests: Geometry

Institution: University College London

Website: None

I am passionate about symplectic topology and its intricate connections with complex algebraic geometry and theoretical physics via the homological mirror symmetry conjecture. Moreover, I am excited to explore the new ties between symplectic and algebraic topology that are being developed in Floer homotopy theory. Before the LSGNT, I completed Part III at Cambridge, where I wrote my essay on Fukaya categories of cotangent bundles of spheres. Outside of maths, I like to play basketball, cycle, make music and go to the BFI.


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Dan Simms

Research interests: Geometry

Institution: University College London

Website: None

I’m a geometer floating around at the intersection of differential and algebraic geometry. For the last four years I was at Cambridge, where I wrote an essay in symplectic topology collecting some ideas from symplectic reduction and pseudo-holomorphic curve counting. I also did a summer project on a kind of Murphy’s Law, in the realm of tropical and log geometry. Outside of maths I like to cook and to watch films recommended to me by my artsy friends.


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Calle Sonne

Research interests: Both

Institution: University College London

Website: None

I am mainly interested in arithmetic geometry, and recently I have become especially interested in the Langlands program. Before moving to London, I did my Master's at the University of Bonn, where my thesis was on some aspects of the Kudla program in the function field setting. Outside of maths I enjoy dancing.


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Sara Varljen

Research interests: Number Theory

Institution: University College London

Website: None

My main interests at the moment are in number theory, especially the algebraic side and elliptic curves. Before coming to the LSGNT, I completed my master's degree as part of the ALGANT program, spending one year in Padova and one in Leiden. In my master's thesis I explored a case of Sylvester's conjecture. Outside of maths I enjoy cooking, dancing, and watching (bad) tv shows.


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Brad Wilson

Research interests: Geometry

Institution: University College London

Website: None

I'm broadly interested in differential geometry, but more specifically in geometric analysis, gauge theory and symplectic geometry. Before joining the LSGNT I did my bachelors degree in mathematics at the Australian National University, where I wrote my thesis on the analysis of the Seiberg-Witten equations and the resulting 4-manifold invariants. Outside of maths I like to go to the gym, train boxing and play music.


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Maartje Wisse

Research interests: Geometry

Institution: University College London

I am a topologist, specialising in low-dimensional topology and knot theory. I did my undergraduate and masters at Cambridge, where my Part III Essay was titled "Khovanov Homology and Embedded Surfaces". I have also previously completed a research project on SL_2(R) Character Varieties of Knot Complements and a shorter essay on Non-Positively Curved Cube Complexes. Outside of maths, I'm an avid knitter and sewist and I love choral singing. I also love early nights, comfy chairs, books and cake/biscuits.