{"id":22,"date":"2023-11-06T17:04:29","date_gmt":"2023-11-06T17:04:29","guid":{"rendered":"https:\/\/hodge.maths.ed.ac.uk\/?page_id=22"},"modified":"2026-05-01T12:45:54","modified_gmt":"2026-05-01T11:45:54","slug":"people","status":"publish","type":"page","link":"https:\/\/hodge.maths.ed.ac.uk\/?page_id=22","title":{"rendered":"People"},"content":{"rendered":"\n
                     <\/th>Faculty<\/th><\/tr><\/thead>
<\/td>Clark Barwick<\/a><\/td><\/tr>
<\/td>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 \u00e9tale homotopy types and related invariants.<\/td><\/tr>
\"Arend<\/td>Arend Bayer<\/a><\/td><\/tr>
<\/td>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<\/a> ArXiv<\/a><\/td><\/tr>
\"Sjoerd<\/td>Sjoerd Beentjes<\/a><\/td><\/tr>
<\/td>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.<\/td><\/tr>
\"Ivan<\/td>Ivan Cheltsov<\/a><\/td><\/tr>
<\/td>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. You can find my papers here<\/a> and pictures of my bike here<\/a>.<\/td><\/tr>
\"Ben<\/td>Ben Davison<\/a><\/td><\/tr>
<\/td>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.<\/td><\/tr>
\"Tudor<\/td>Tudor Dimofte<\/a><\/td><\/tr>
<\/td>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?<\/em><\/td><\/tr>
\"Iain<\/td>Iain Grant Gordon<\/a> (Head of College)<\/td><\/tr>
<\/td>I am interested in Lie theoretic representation theory and its connections with combinatorics, geometry and noncommutative things. You can find my papers on the arXiv<\/a>, Google Scholar<\/a>, MathSciNet<\/a>, or my homepage<\/a>. Not everything is on the arXiv.<\/td><\/tr>
\"Milena<\/td>Milena Hering<\/a><\/td><\/tr>
<\/td>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<\/a> ArXiv<\/a><\/td><\/tr>
\"David<\/td>David Jordan<\/a><\/td><\/tr>
<\/td>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-\u2026) – 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<\/a>.<\/td><\/tr>
<\/td>Minhyong Kim<\/a> (Director of ICMS)<\/td><\/tr>
<\/td>My research is mostly in arithmetic geometry, the study of structures that have a combination of arithmetic and geometric natures, Recently, I\u2019ve been mostly interested in the interface between arithmetic geometry and quantum field theory. You can see some of my papers listed on this webpage<\/a>.<\/td><\/tr>
\"Dimitra<\/td>Dimitra Kosta<\/a><\/td><\/tr>
<\/td>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.<\/td><\/tr>
\"Tom<\/td>Tom Leinster<\/a><\/td><\/tr>
<\/td>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<\/em>-Category Caf\u00e9<\/a>, 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<\/a>.<\/td><\/tr>
\"Tom<\/td>Tom Lenagan<\/a><\/td><\/tr>
<\/td>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.<\/td><\/tr>
\"Antony<\/td>Antony Maciocia<\/a><\/td><\/tr>
<\/td>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<\/a> for a list of papers.<\/td><\/tr>
\"Johan<\/td>Johan Martens<\/a><\/td><\/tr>
<\/td>I study algebro-geometric and symplectic structures of various moduli spaces, mostly with links to physics (gauge theory, conformal field theory, integrable systems).<\/td><\/tr>
\"Ana<\/td>Ana Rita Pires<\/a><\/td><\/tr>
<\/td>I work in symplectic geometry, in particular using hamiltonian actions and moment maps. My work on degenerate symplectic structures \u2014 origami manifolds and b-symplectic or log-symplectic manifolds \u2014 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.
ArXiv<\/a><\/td><\/tr>
<\/td>Jon Pridham<\/a><\/td><\/tr>
<\/td>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<\/a> or my homepage<\/a>.<\/td><\/tr>
\"Pavel<\/td>Pavel Safronov<\/a><\/td><\/tr>
<\/td>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).<\/td><\/tr>
\"Alexander<\/td>Alexander Shapiro<\/a><\/td><\/tr>
<\/td>I am interested in representation theory and Poisson geometry. My work concerns quantum groups, cluster algebra, character varieties, and integrable systems.<\/td><\/tr>
\"Nick<\/td>Nick Sheridan<\/a><\/td><\/tr>
<\/td>I work on homological mirror symmetry and symplectic topology. My papers are available on my webpage<\/a>.<\/td><\/tr>
\"Sue<\/td>Sue Sierra<\/a><\/td><\/tr>
<\/td>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<\/a>.<\/td><\/tr>
\"Agata<\/td>Agata Smoktunowicz<\/a><\/td><\/tr>
<\/td>I am interested in noncommutative algebra. You can see my publications on MathSciNet<\/a>.<\/td><\/tr>
<\/td>Chris Smyth<\/a><\/td><\/tr>
<\/td>I am a number theorist.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
                  <\/th>Postdocs<\/th><\/tr><\/thead>
\"\"<\/td>Eric Ahlqvist<\/a><\/td><\/tr>
<\/td>I am interested in number theory, arithmetic topology, anabelian geometry, (derived) stacks and moduli spaces in algebraic geometry.<\/td><\/tr>
<\/td>Mikhail Bershtein<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Jennifer Brown<\/a><\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Nitin Chidambaram<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Ollie Clarke<\/a><\/td><\/tr>
<\/td><\/td><\/tr>
\"\"<\/td>Andrea E. V. Ferrari<\/td><\/tr>
<\/td>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.<\/td><\/tr>
<\/td>Lucien Hennecart<\/a><\/td><\/tr>
<\/td>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.<\/td><\/tr>
\"Jeff<\/td>Jeff Hicks<\/a><\/td><\/tr>
<\/td>I work in symplectic geometry and homological mirror symmetry. My research studies the relation between tropical geometry and symplectic geometry, and Lagrangian cobordisms.<\/td><\/tr>
<\/td>Kai Hugtenburg<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Bar\u0131\u015f Kartal<\/a><\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Duncan Laurie<\/a><\/td><\/tr>
<\/td>My research is in algebra and representation theory<\/em>, more specifically: quantum toroidal algebras; quantum affinizations; quantum affine algebras; quantum groups; crystal bases; quiver varieties; and related areas…<\/td><\/tr>
<\/td>Sukjoo Lee<\/td><\/tr>
<\/td><\/td><\/tr>
\"Tomasz<\/td>Tomasz Prze\u017adziecki<\/a><\/td><\/tr>
<\/td>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.<\/td><\/tr>
\"Jan<\/td>Jan Pulmann<\/a><\/td><\/tr>
<\/td>I am interested in various mathematical aspects of the Chern-Simons theory: moduli spaces of flat connections, their quantizations, quantum groups.<\/td><\/tr>
\"Emily<\/td>Emily Roff<\/a><\/td><\/tr>
<\/td>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.<\/td><\/tr>
<\/td>Iordanis Romaidis<\/td><\/tr>
<\/td><\/td><\/tr>
\"\"<\/td>Robert \u015amiech<\/a><\/td><\/tr>
<\/td>I am mainly interested in problems concerning Fano varieties. Currently, it means working in the group of Ivan Cheltsov on K-stability and moduli spaces, during my PhD studies I was researching varieties equipped with a holomorphic contact structure.<\/td><\/tr>
\"\"<\/td>James Timmins<\/a><\/td><\/tr>
<\/td>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.<\/td><\/tr>
<\/td>Kostya Tolmachov<\/a><\/td><\/tr>
<\/td>I am interested in various topics in geometric representation theory and its applications (in particular, to knot homology theories).<\/td><\/tr>
<\/td>Till Wehrhan<\/a><\/td><\/tr>
<\/td>I am fascinated by geometric representation theory<\/em> and its connections to the fields of enumerative geometry, quantum algebra and combinatorics.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
                     <\/th>Graduate students<\/th><\/tr><\/thead>
<\/td>Chun-Yu Bai<\/a><\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Diana Bergerov\u00e1<\/td><\/tr>
<\/td>I am a PhD student working with Ben Davison since 2024.<\/td><\/tr>
<\/td>Willow Bevington<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Julia Bierent<\/td><\/tr>
<\/td><\/td><\/tr>
\"\"<\/td>Sophie Bleau<\/a><\/td><\/tr>
<\/td>I am a PhD student working with Antony Maciocia since September 2024 on computing the walls and moduli spaces for Bridgeland stability in higher dimensions.<\/td><\/tr>
<\/td>Campbell Brawley<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Tudor-Ioan Caba<\/td><\/tr>
<\/td><\/td><\/tr>
\"\"<\/td>Jo\u00e3o Camarneiro<\/td><\/tr>
<\/td>I am a PhD student working with Ana Rita Pires since September 2024. My focus is in symplectic geometry, more specifically in symplectic embedding problems.<\/td><\/tr>
<\/td>Yan Yau Cheng<\/a><\/td><\/tr>
<\/td>I am a PhD student working with Minhyong Kim since September 2022. My interests are in Algebraic Number Theory and Arithmetic Geometry.<\/td><\/tr>
<\/td>Tzu-Yang Chou<\/td><\/tr>
<\/td>I am a PhD student working with Arend Bayer.<\/td><\/tr>
<\/td>Alexandra Ciotau<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Adrian Cook<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>David Cueto Noval<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Elena Denisova<\/td><\/tr>
<\/td>I am a PhD student working with Vanya Cheltsov and Milena Hering.<\/td><\/tr>
<\/td>Adri\u00e1n Do\u00f1a Mateo<\/td><\/tr>
<\/td>I am PhD student working with Tom Leinster since September 2022. I am interested in Category Theory and its applications.<\/td><\/tr>
<\/td>Benjamin Haake<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Shivang Jindal<\/a><\/td><\/tr>
<\/td>I am a PhD student working with Ben Davison.<\/td><\/tr>
<\/td>Sarunas Kaubrys<\/a><\/td><\/tr>
<\/td>I am a PhD student working with Pavel Safronov and Ben Davison since 2021.<\/td><\/tr>
\"\"<\/td>Danil Ko\u017eevnikov<\/a><\/td><\/tr>
<\/td>I am a PhD student working with Nick Sheridan since 2022. My main research interests are symplectic topology, mirror symmetry and tropical geometry. <\/td><\/tr>
\"Theodoros<\/td>Theodoros Lagiotis<\/a><\/td><\/tr>
<\/td>I am a PhD student working with Pavel Safronov since 2021. My current focus is on topological field theories.<\/td><\/tr>
\"\"<\/td>Xiang Li<\/a><\/td><\/tr>
<\/td>I\u2019m 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.<\/td><\/tr>
<\/td>Joseph Malbon<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Ander Martin Iribar<\/td><\/tr>
<\/td>I am a PhD student of Minhyong Kim since 2024, interested in arithmetic geometry and related topics.<\/td><\/tr>
\"\"<\/td>Isky Mathews<\/td><\/tr>
<\/td>I am a PhD student working with Tom Leinster as of autumn 2024. I’m interested in all areas of maths, but working on category theory and recently looking at topoi.<\/td><\/tr>
\"\"<\/td>Alex (Monty) Milner<\/a><\/td><\/tr>
<\/td>I am a PhD student working with Dimitra Kosta since September 2024. My current area of research is computational and applied algebraic geometry with a focus on toric geometry and matroidal structures.<\/td><\/tr>
<\/td>\u00c1lvaro Mu\u00f1iz Brea<\/td><\/tr>
<\/td>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.<\/td><\/tr>
<\/td>Luke Naylor<\/a><\/td><\/tr>
<\/td>I am a PhD student working with Antony Maciocia.<\/td><\/tr>
<\/td>Tuan Pham<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Antoine Pinardin<\/td><\/tr>
<\/td>I am a PhD student working with Vanya Cheltsov.<\/td><\/tr>
<\/td>Victor Py<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Karim Rega<\/td><\/tr>
<\/td>I am a PhD student working with Johan Martens.<\/td><\/tr>
\"\"<\/td>Emanuel Roth<\/a><\/td><\/tr>
<\/td>I am a PhD student working with Johan Martens.<\/td><\/tr>
\"\"<\/td>Siddharth Setlur<\/a><\/td><\/tr>
<\/td>I am a PhD student working with Sjoerd Beentjes and Darrick Lee. Most of my work has been in topological data analysis, but I am broadly interested in applications of topology, algebra and category theory. <\/td><\/tr>
\"\"<\/td>Malthe Sporring<\/a><\/td><\/tr>
<\/td>I am a PhD student working with Clark Barwick. I am interested in higher category theory.<\/td><\/tr>
<\/td>Lucy Spouncer<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Matthew Tyson<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Matthias Vancraeynest<\/td><\/tr>
<\/td><\/td><\/tr>
<\/td>Maia Woolf<\/td><\/tr>
<\/td>I am a PhD student, working with Tom Leinster since autumn 2024. I am interested in category theory and universal algebra.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
\n
<\/div>\n<\/div>\n\n\n\n

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                      Faculty 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 \u00e9tale homotopy types and related invariants. Arend Bayer I have been working on questions in algebraic geometry motivated by string theory and mirror symmetry; for […]<\/p>\n","protected":false},"author":1,"featured_media":76,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-22","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/pages\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=22"}],"version-history":[{"count":86,"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/pages\/22\/revisions"}],"predecessor-version":[{"id":1021,"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/pages\/22\/revisions\/1021"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=\/wp\/v2\/media\/76"}],"wp:attachment":[{"href":"https:\/\/hodge.maths.ed.ac.uk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}