**Research interests:** Number Theory

**Institution:** King's College London

I am interested in number theory and arithmetic geometry. At the moment I spend my time thinking about p-adic Galois representations, and how methods from integral p-adic Hodge theory can be used to prove things about deformations of these objects.

**Research interests:** Geometry

**Institution:** Imperial College London

I am interested in algebraic geometry. I am fascinated by the geometry of moduli spaces, that of curves and related ones in particular; I am currently studying some Gromov-Witten theory and toric geometry. I once used to like algebraic groups and geometric representation theory. I received my degree at University of Pisa and SNS. I enjoy cooking, swimming or reading a good novel in my free time.

**Research interests:** Both

**Institution:** Imperial College London

I am interested in various aspects of algebraic geometry and physical mathematics, including mirror symmetry, derived categories and curve counting theories. My supervisor is Professor Richard Thomas. Before coming to London, I studied in Paris at the Ecole Normale Superieure and obtained a master degree from Paris-Sud University.

**Research interests:** Number Theory

**Institution:** University College London

My main interest lies in 'geometric' problems related to multiplicative number theory: bounding the size of trigonometric sums, lattice point counting problems, arithmetic random waves. When not doing mathematics, you'll find me swimming, reading/writing poetry, or discovering the streets and parks of London on foot.

**Research interests:** Geometry

**Institution:** Imperial College London

I am interested in algebraic geometry. I enjoy moduli spaces and counting curves problems as well as derived categories questions. During my first year I worked mostly on Homological Projective Duality (with my PhD advisor Pr. R. Thomas) and Gromov-Witten theory (with my second advisor Dr. C. Manolache). Outside math, I love swimming, music and dinners with friends.

**Research interests:** Number Theory

**Institution:** University College London

My interests lie in algebraic number theory and arithmetic geometry; precisely, I'm very interested in the theory of Euler systems. I am from Italy and I studied in Catania, Stockholm and Padova before joining the LSGNT program. In my free time, among many things I like to do, I dance Hip Hop, Salsa and Bachata.

**Research interests:** Geometry

**Institution:** University College London

**Website:** *None*

I am interested in differential geometry and geometric analysis: the idea is to solve problems from geometry using methods from analysis. More specifically, I have interests in min-max techniques and in minimal surfaces and their interplay with the topology of three manifolds. More recently, I have been working on the Isoperimetric Problem on 3-manifolds with positive Ricci curvature, this consists in studying the topology and geometry of surfaces that minimize area among surfaces that enclose a fixed volume. My supervisor is Professor Andre Neves from Imperial College. Outside of mathematics I like travelling and getting to know different places. I also enjoy sports, for example I like watching and playing football and I also like running.

**Research interests:** Geometry

**Institution:** Imperial College London

**Website:** *None*

I'm interested in algebraic geometry, and my project is on mirror symmetry for representation quotients in quiver flag varieties, supervised by Professor Tom Coates. I completed my undergrad at the University of Alberta before moving to Oxford for the MFoCS program. I like to listen to Alexander McCall Smith while going for leisurely runs in the park.

**Research interests:** Geometry

**Institution:** King's College London

**Website:** *None*

I'm an algebraic geometer with a keen interest in homological aspects of symplectic geometry too. My work is heavily motivated by mirror symmetry with my main focus being the B-model. In the first year of my Phd, I thought about conifolds and exotic Lagrangians. Outside of maths, I enjoy tennis, badminton and skiing. I also like playing the piano and listening to classical music. When I find the time, I love to read and go to the theatre.

**Research interests:** Geometry

**Institution:** University College London

I am now a student of Dr Jonny Evans and Dr Yankl Lekili. I work in Symplectic Geometry and currently I am particularly interested in topological restrictions on Lagrangian submanifolds. Studying these involves understanding different kinds of holomorphic curve invariants. Whenever I am not neck-deep in Floer theory I just enjoy life in London.

**Research interests:** Geometry

**Institution:** King's College London

**Website:** *None*

I'm interested in geometry, topology and group theory. Currently I'm thinking about symplectic and complex geometry, my PhD supervisor is Dr Dmitri Panov. Originally from Manchester, I did my MMath at Warwick before joining the LSGNT.

**Research interests:** Geometry

**Institution:** Imperial College London

**Website:** http://wwwf.imperial.ac.uk/~nn1209/

I mostly work in algebraic geometry, though I have a secondary interest in symplectic aspects of mirror symmetry. Currently I am working on problems in Gromov-Witten theory (one of the "curve counting" theories), under the supervision of Professor Tom Coates. In my first year I did a project on virtual fundamental classes, supervised by Dr Cristina Manolache, and a project on Floer cohomology, supervised by Dr Jonny Evans. Outside of maths, I enjoy rock climbing, strumming guitar, reading novels and spending time with friends. I grew up in London, and love nothing more than to go for a wander around my city.

**Research interests:** Number Theory

**Institution:** Imperial College London

**Website:** *None*

I am mostly interested in problems which lie between Algebraic Geometry and Number Theory. One problem on which I am currently working is about local-global principles for algebraic varieties, and is in some way inspired by homotopy theory. Another interesting problem is trying to understand the behaviour of Néron models of Abelian varieties over local fields, which is closely connected to integral p-adic Hodge theory. My supervisors are Professor Alexei Skorobogatov and Dr. Johannes Nicaise.

**Research interests:** Number Theory

**Institution:** King's College London

I am Kwok-Wing Tsoi (蔡國榮), usually my friends call me Ghaleo. My advisors are Professor David Burns and Dr Mahesh Kakde from King's College London. Before that, I obtained my BSc at the University of Warwick and MASt at the University of Cambridge (a.k.a. Part III). I am a number theorist: my interests include the following aspects (and related areas). - (non-commutative) Iwasawa theory - Euler-Kolyvagin systems - p-adic modular forms Currently I have been studying Burns-Kurihara-Sano's recent work on 'higher rank' Iwasawa theory. On the other hand, I am also a part-time cook and baker.

**Research interests:** Geometry

**Institution:** Imperial College London

I am interested in algebraic geometry; more specifically I like to think about derived categories, moduli problems and mirror symmetry. My supervisors are Prof. Richard Thomas and Dr Edward Segal. I obtained my BSc and MSc at ETH in Zurich, Switzerland, where I’m originally from. Outside of mathematics I love to make music.

**Research interests:** Geometry

**Institution:** Imperial College London

**Website:** http://wwwf.imperial.ac.uk/~jw2214/

I am working on birational geometry, minimal model program, and F-singularities. What captivates me the most is the idea of understanding the geometric structure of algebraic varieties, especially by an application of non-straightforward techniques; such as positive characteristic algebraic geometry, analytic methods, derived categories, rigid geometry etc. My current research interests include: the relation between the Frobenius action on varieties/singularities and their geometric properties, Fujita conjecture type theorems, and an unexpected behavior of varieties, defined over the algebraic closure of a finite field.