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Clark Barwick
I am interested in the connections between homotopy theory and arithmetic. In the past this meant thinking about algebraic K-theory. These days, I’m more interested in étale homotopy types and related invariants.
Arend BayerArend Bayer
I have been working on questions in algebraic geometry motivated by string theory and mirror symmetry; for a while that meant Gromov-Witten theory, in the last few years mostly derived categories and stability conditions. Recently that has led me to very classical questions in algebraic geometry, via wall-crossing and birational geometry of moduli spaces.
Google scholar ArXiv
Sjoerd BeentjesSjoerd Beentjes
I am interested in algebraic geometry, in particular the enumerative geometry of Calabi-Yau threefolds, such as (non-commutative) Donaldson-Thomas theory. In recent years, I have become interested in applications of pure mathematics and mathematical statistics to causal questions in population biomedicine and public health policy.
Ivan CheltsovIvan Cheltsov
I am birational geometer interested in K-stability and rationality of Fano varieties, subgroups of Cremona groups, polarized cylinders in rational varieties, and relevant classification type problems. I currently supervise 1 PhD student, Niveditha Viswanathan. You can find my papers here and pictures of my bike here.
Ben DavisonBen Davison
I work on applications of refined and categorified Donaldson-Thomas theory. This includes work in cluster algebras, quantum groups, nonabelian Hodge theory and enumerative geometry of 3-Calabi-Yau varieties and noncommutative varieties.
Tudor DimofteTudor Dimofte
My research lies at the interface of theoretical physics and pure mathematics, inspired by the dual questions: What algebraic and geometric structures govern the behavior of elementary quantum particles and fields? Conversely, how can physics intuition be used to derive new predictions and results in algebra, geometry, and other branches of mathematics?
Iain GordonIain Grant Gordon (Head of College)
I am interested in Lie theoretic representation theory and its connections with combinatorics, geometry and noncommutative things. You can find my papers on the arXivGoogle ScholarMathSciNet, or my homepage. Not everything is on the arXiv.
Milena HeringMilena Hering
I am working on algebraic geometry, commutative algebra, and combinatorics. My interests include positivity properties of line bundles and syzygies, toric varieties, and tropical varieties.
Google scholar ArXiv
David JordanDavid Jordan
I study various algebraic systems which lie between representation theory and physics. More precisely, my research falls roughly into three distinct areas: firstly, I study tensor categories in their various flavors (fusion, braided, symmetric, stable oo-…) – their classification, and their representation theory. Secondly, I study the interplay between non-commutative algebra and algebraic geometry. Finally, I study quantization problems involving quantum groups, quantum orbit spaces, and their geometry. You can find my papers on the ArXiv.
Minhyong Kim (Director of ICMS)
My research is mostly in arithmetic geometry, the study of structures that have a combination of arithmetic and geometric natures, Recently, I’ve been mostly interested in the interface between arithmetic geometry and quantum field theory. You can see some of my papers listed on this webpage.
Dimitra KostaDimitra Kosta
My research originally lay in the area of birational geometry, yet since then I have been interested in the interplay between algebra, geometry and statistics. My research interests have expanded to include algebraic statistics, phylogenetic algebraic geometry, computational commutative algebra and applied algebraic geometry.
Tom LeinsterTom Leinster
Most of what I do is about category theory and its many applications, including some nonstandard ones such as geometric measure and aspects of both analysis and theoretical ecology. They are loosely unified by the themes of size and measurement. I am one of the hosts of the n-Category Café, a research blog where I have written about many of my interests. My papers, talks and blog entries can all be found through my home page.
Tom LenaganTom Lenagan
I am interested in noncommutative algebra, in particular in growth of algebras and quantum algebras. I’m also interested in totally nonnegative matrices. Click on my name to reach my webpage where publications are listed.
Antony MaciociaAntony Maciocia
My primary interests are in moduli spaces of objects in the derived category of sheaves on low dimensional algebraic varieties, especially Calabi-Yau varieties and more especially abelian and K3 surfaces. I am also interested in triangulated categories and hyperkahler geometry more generally. I am especially fond of the Fourier-Mukai transform as a means to understand the detailed structure of varieties and their moduli spaces of sheaves. See arxiv for a list of papers.
Johan MartensJohan Martens
I study algebro-geometric and symplectic structures of various moduli spaces, mostly with links to physics (gauge theory, conformal field theory, integrable systems).
Ana Rita PiresAna Rita Pires
I work in symplectic geometry, in particular using hamiltonian actions and moment maps. My work on degenerate symplectic structures — origami manifolds and b-symplectic or log-symplectic manifolds — led me to connections with toric topology, contact geometry, and Poisson geometry. More recently I have become interested in quantitative symplectic geometry by working on symplectic embedding problems.
Jon Pridham
I work on applications of abstract homotopy theory to algebraic geometry. My research has two main strands: derived algebraic geometry, and homotopy theory of algebraic varieties (including arithmetic and motivic aspects). You can find my papers on the arXiv or my homepage.
Pavel SafronovPavel Safronov
I am interested in problems lying at the intersection of representation theory (of quantum groups), algebraic geometry (in particular, derived algebraic and derived symplectic geometry) and mathematical physics (supersymmetric field theories, topological field theories, deformation quantization).
Alexander ShapiroAlexander Shapiro
I am interested in representation theory and Poisson geometry. My work concerns quantum groups, cluster algebra, character varieties, and integrable systems.
Nick SheridanNick Sheridan
I work on homological mirror symmetry and symplectic topology. My papers are available on my webpage.
Sue SierraSue Sierra
I am a noncommutative ring theorist, specialising in interactions between ring theory and algebraic geometry, particularly the use of geometric techniques to solve problems in algebra. I am particularly interested in birationally commutative algebras (graded algebras that embed in a skew polynomial extension over a commutative ring) and in graded domains of low GK-dimension. Much of my research is motivated by the programme to classify connected graded domains of GK-dimension 3. I am also interested in moduli problems for graded rings and in algebraic geometry, and recently I have begun to work on problems coming from Lie theory, particularly chain conditions in enveloping algebras of infinite-dimensional Lie algebras. My papers are available on my webpage.
Agata SmoktunowiczAgata Smoktunowicz
I am interested in noncommutative algebra. You can see my publications on MathSciNet.
Chris Smyth
I am a number theorist.
Eric Ahlqvist
I am interested in number theory, arithmetic topology, anabelian geometry, (derived) stacks and moduli spaces in algebraic geometry.
Mikhail Bershtein
Jennifer Brown
Nitin Chidambaram
Ollie Clarke
Andrea E. V. Ferrari
I am broadly interested in topics at the interface between Quantum Field Theory (QFT) and mathematics. My recearch has largely focused on how algebro-geometric tools can help us to describe observables in supersymmetric QFTs, and on how (higher) category theory can be applied to the study of generalised symmetries.
Lucien Hennecart
My research revolves around Hall algebras, from their earliest version as convolution algebras on constructible functions on points on some moduli spaces (of quivers, of coherent sheaves on a curve) to more modern avatars involving cohomology, and the relations between them.
Jeff HicksJeff Hicks
I work in symplectic geometry and homological mirror symmetry. My research studies the relation between tropical geometry and symplectic geometry, and Lagrangian cobordisms.
Kai Hugtenburg
Bariş Kartal
Sukjoo Lee
Tomasz PrzeździeckiTomasz Przeździecki
I work in representation theory. I am particularly interested in categorification, Hecke and KLR algebras and their generalizations, rational Cherednik algebras, modern incarnations of Schur-Weyl duality as well as cohomological Hall algebras.
Jan PulmannJan Pulmann
I am interested in various mathematical aspects of the Chern-Simons theory: moduli spaces of flat connections, their quantizations, quantum groups.
Emily RoffEmily Roff
My research has to do with numerical and homological invariants of metric spaces that derive from an interpretation of a metric space as a type of enriched category. More generally, I am interested in enriched category theory and its applications within and beyond pure mathematics.
Iordanis Romaidis
Photo of James TimminsJames Timmins
I work in noncommutative algebra and representation theory. I am particularly interested in noncommutative rings that arise from the p-adic Langlands programme. I am also interested in infinite-dimensional Lie algebras and their representations.
Kostya Tolmachov
I am interested in various topics in geometric representation theory and its applications (in particular, to knot homology theories).
                     Graduate students
Chun-Yu Bai
Willow Bevington
Julia Bierent
Lucas Buzaglo
I am a PhD student working with Sue Sierra. I am interested in noncommutative ring theory.
Yan Yau Cheng
I am a PhD student working with Minhyong Kim since September 2022. My interests are in Algebraic Number Theory and Arithmetic Geometry.
Tzu-Yang Chou
I am a PhD student working with Arend Bayer.
Adrian Cook
David Cueto Noval
Hannah DellHannah Dell
I am a PhD student working with Arend Bayer. I am interested in algebraic geometry, in particular derived categories of coherent sheaves and Bridgeland stability conditions on them.
Elena Denisova
I am a PhD student working with Vanya Cheltsov and Milena Hering.
Adrián Doña Mateo
I am PhD student working with Tom Leinster since September 2022. I am interested in Category Theory and its applications.
Harry GindiHarry Gindi
As of September 2019 I am a PhD student supervised by Clark Barwick and Jon Pridham. My mathematical interests are homotopy theory, algebraic geometry, K-theory, higher category theory, and motives.
Benjamin Haake
Augustinas JacovskisAugustinas Jacovskis
I’m a PhD student of Arend Bayer at Edinburgh since 2019. I’m interested in algebraic geometry, in particular derived categories and Bridgeland stability conditions.
Shivang Jindal
I am a PhD student working with Ben Davison.
Sarunas Kaubrys
I am a PhD student working with Pavel Safronov and Ben Davison since 2021.
Patrick KinnearPatrick Kinnear
I am a PhD student working with David Jordan and Pavel Safronov. I am interested in algebra and topology.
Danil Kozevnikov
I am a PhD student working with Nick Sheridan since 2022. My main research interests are symplectic topology, mirror symmetry and tropical geometry.
Theodoros LagiotisTheodoros Lagiotis
I am a PhD student working with Pavel Safronov since 2021. My current focus is on topological field theories.
Xiang Li
I’m a math PhD student of algebra and number theory working with Prof. Minhyong Kim since 2023. My interests are in algebraic number theory and arithmetic geometry.
Álvaro Muñiz Brea
I am a PhD student working with Nick Sheridan since 2021. I am interested in symplectic topology and mirror symmetry. My current research focuses on Lagrangian cobordisms and their relation to K-theory of the Fukaya category.
Luke Naylor
I am a PhD student working with Antony Maciocia.
Tuan Pham
Antoine Pinardin
I am a PhD student working with Vanya Cheltsov.
Dora Puljic
I am a PhD student working with Agata Smoktunowicz since 2020. I am working on brace theory.
Victor Py
Karim Rega
I am a PhD student working with Johan Martens.
William Reynolds
I began as a PhD student at Edinburgh in September 2018, and my advisor is Milena Hering.
Arman Sarikyan
I am a PhD student working with Ivan Cheltsov. My main area of research is algebraic geometry, in particular Fano varieties, rationality problems, equivariant geometry, arithmetic geometry.
Malthe Sporring
I am a PhD student working with Clark Barwick. I am interested in homotopy theory.
Ruben van Belle
I am a PhD student working with Tom Leinster.
Matthias Vancraeynest