**Research interests:** Number Theory

**Institution:** University College London

**Website:** https://multramate.github.io/

My academic interests lie broadly in the realm of algebraic number theory and arithmetic geometry, particularly the arithmetic of elliptic curves and local-global principles governing Diophantine equations. Prior to the LSGNT, I did my undergraduate engineering degree in Pure Mathematics and Computational Logic at Imperial College London, with a masters thesis on the arithmetic statistics of Selmer groups, and subsequently went to the University of Cambridge to read Part III of the Mathematical Tripos. Outside of number theory, I am a Haskell programmer with an avid interest in theoretical computer science, including formal logic, computability theory, type theory, complexity theory, and cryptography.

**Research interests:** Geometry

**Institution:** Imperial College London

**Website:** *None*

I am a Geometer, mostly interested in Riemannian Geometry and Differential Topology. I studied Part III at the University of Cambridge, where I wrote a dissertation on the Hodge Decomposition Theorem, studying a generalisation of the classical result for closed manifolds to compact manifolds with non-empty boundary. I am currently studying spin structures on homogeneous spaces. Other than Mathematics, I like Physics, football, basketball, chess and a cold drink with friends.

**Research interests:** Geometry

**Institution:** University College London

**Website:** *None*

I'm interested in algebraic geometry, low-dimensional topology/knot theory, differential topology, and algebraic topology. Before I came to the LSGNT I did a Master's in Mathematical and Theoretical Physics at Oxford, so I also enjoy learning about connections between geometry and theoretical physics. I'm currently doing a mini-project with Dr Ed Segal in algebraic geometry on derived categories of coherent sheaves, and a mini-project with Dr Steven Sivek in low-dimensional topology on 4-manifolds and Kirby Calculus, hopefully leading to exotic 4-spheres. In my free time I enjoy reading fantasy, playing football, running, singing, and hanging out with friends.

**Research interests:** Geometry

**Institution:** University College London

**Website:** *None*

My interest is differential geometry broadly speaking. Previously I was mainly into geometric analysis, although more recently my interests are shifting towards symplectic and complex geometry. Before LSGNT I was an M2 student in Paris, a part III student in Cambridge, and I did my undergraduate degree in Pisa. Apart from mathematics I very much enjoy skiing and sailing. I also love learning new languages and I am quite a lot into music.

**Research interests:** Number Theory

**Institution:** King's College London

**Website:** *None*

I’m interested in number theory, especially the algebraic side, and arithmetic geometry. Before coming to the LSGNT, I studied for a master’s degree at the universities of Padua and Bordeaux, where I defended my master’s thesis on the Bombieri-Stepanov approach to the Riemann Hypothesis. Besides maths, I enjoy playing badminton and table tennis, cooking, and listening to audiobooks.

**Research interests:** Both

**Institution:** University College London

**Website:** *None*

I am a PhD student at UCL working with Luis Garcia and aligned with the LSGNT. I did my master’s jointly in Cambridge and Copenhagen where I did projects about class field theory (part III essay) and modular curves (master's thesis). I also enjoy teaching, and when not doing math I can often be found exploring London or running in a park.

**Research interests:** Geometry

**Institution:** Imperial College London

**Website:** *None*

I am mainly interest in geometry, both from a differential and an algebraic point of view. I did a double degree programme in mathematics and physics at the Complutense University of Madrid. Afterwards, I also did a master’s programme in mathematics at that University, focusing more on Geometry and Topology. My master’s thesis consisted in studying the monodromy of isolated singularities of complex hypersurfaces. Outside from being overwhelmed by mathematics, I enjoy listening to lots of music (preferably during long walks when the weather is nice), watching cheesy movies and spending time with my friends!

**Research interests:** Number Theory

**Institution:** University College London

**Website:** *None*

**Research interests:** Number Theory

**Institution:** King's College London

**Website:** *None*

I'm mainly interested in algebraic geometry and algebraic number theory, and I haven't narrowed that down yet. Before LSGNT, I did an MSci at Imperial; my 4th year project was on formalising Koszul complexes in the Lean theorem prover. When I'm not trying to do maths, I like playing guitar, consuming media, making grave mistakes, and exaggerating.

My main area of interest is differential geometry, yet I am always happy to learn other maths, from homological algebra to PDE, as long as it is geometrically motivated. Before joining the LSGNT, I studied in St. Petersburg, where I obtained my master's degree with a thesis about a boundary problem in Morse theory, under the supervision of Gaiane Panina. Apart from maths I enjoy listening to many sorts of music, occasional singing, reading non-fiction, and more or less meaningful discussions with friends.

**Research interests:** Geometry

**Institution:** Imperial College London

**Website:** *None*

I am a geometer with particular interests in differential geometry and geometric analysis, though I maintain a healthy curiosity in the abstract nonsense of algebraic topology. My masters’ thesis at Imperial on the construction of lagrangian Floer homology opened my eyes to the power of PDE and functional analytic methods in geometry, so I hope to explore more topics in this direction over the coming year. Away from the world of maths I enjoy art and film, and am a keen musician and boulderer.

**Research interests:** Number Theory

**Institution:** University College London

I like most things with "algebraic" in the name, especially algebraic number theory. My undergraduate degree was at Oxford, where I did my masters thesis on the derived deformation rings of Galatius-Venkatesh. Outside maths, I do fencing quite seriously and I really like tennis.

**Research interests:** Number Theory

**Institution:** King's College London

I am broadly interested in arithmetic geometry, I am particularly drawn to number theoretic questions that have connections to geometry and other fields. In particular this year I want to learn more about parts of the Langlands program. Outside of mathematics I enjoy cooking, going for walks, and just hanging out after a long day of maths.

**Research interests:** Number Theory

**Institution:** King's College London

**Website:** *None*

I am a PhD student mainly interested in Algebraic Number Theory and Arithmetic Geometry. After learning some Galois Cohomology and Elliptic Curves, I am currently focused on Iwasawa Theory and Homological Algebra. I also hope to learn some Non-commutative Iwasawa Theory soon. Nevertheless, I am still open-minded and excited about other areas such as Noncommutative Algebra or Functional/Complex/p-Adic Analysis. In part because I love applying different branches to Algebraic Number Theory. Besides mathematics, I also enjoy listening to alternative music, podcasts or exploring philosophical questions.

**Research interests:** Both

**Institution:** King's College London

**Website:** *None*

I enjoy low-dimensional topology, geometry and any mathematics involving groups and symmetries. I am interested in using simple combinatorial approaches to understand complicated objects in these areas, with the eventual goal of investigating their interactions with number theory. I currently work with Dr Mehdi Yazdi on understanding the mapping class group of surfaces. Before joining the LSGNT, I completed my M.S. at New York University and my B.E. at the University of Mumbai. In my spare time, I like to read fiction, make art, and pressure the public into using open-source software.

**Research interests:** Geometry

**Institution:** University College London

**Website:** https://enric-sf.github.io/

I am mainly interested in differential geometry and the moduli space problems that appear. In particular, I am interested in gauge theory problems and their connection to different areas to mathematics and physics. Before coming to London, I completed a double Bachelor in mathematics and physics in Barcelona and an MSc. in mathematical physics in Munich. Outside of maths, I enjoy hiking, reading, cooking and going out with friends.

**Research interests:** Geometry

**Institution:** University College London

**Website:** *None*

I am interested in a broad range of Mathematics and specifically algebraic geometry as I know a bit more about it from my master's thesis. I did BSMS at IISER Tirupati in India and my master's thesis was about Plane curves. I love to discuss Math and hence people are welcome to contact me for any kind of math discussion (which involves some pictures preferably). Outside Math, I am always up for a game of basketball or any other outdoor/indoor game as well.

**Research interests:** Number Theory

**Institution:** Imperial College London

**Website:** *None*

I am interested in algebraic number theory. Before coming to LSGNT, I did my undergraduate at Peking University. In my first year at LSGNT, I'm learning something about p-adic Hodge theory and the computing of modular forms. Outside of mathematics, I enjoy spending time with family and friends, listening to music and reading books.

**Research interests:** Geometry

**Institution:** Imperial College London

I am primarily interested in arithmetic geometry. More precisely, elliptic curves, BSD and Iwasawa theory. I love algebraic geometry and number theory, and the connections between them. Other than number theory, I love various small problems/small examples/mathematical phenomena in all the other mathmatical areas as well. Other than mathematics, I love musics, eg musics from red hot chilli peppers, pink floyd, daft punk, Floruit Show(a Chinese band), Pharaoh(a Chinese rap singer) etc.

**Research interests:** Both

**Institution:** Imperial College London

**Website:** *None*

I am a PhD student from Imperial College. My interest is formalisation of mathematics. I am currently trying to formalising Serre’s GAGA theorem under supervision of Professor Kevin Buzzard. Before this, I did a master degree in mathematics where I formalised proof of transcendence of e and a master degree in philosophy at UCL where I explored homotopy type theory. Outside mathematics, I enjoy hiking with my dogs, playing with my cats and occasional reading of light philosophy.