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Laurens Lootens is a Researcher in the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge. His work focuses on theoretical physics, particularly in quantum lattice models, topological phases of matter, and mathematical structures underlying quantum systems. He is affiliated with the High Energy Physics research group within DAMTP. His research interests include dualities in quantum systems, matrix product operator symmetries, conformal field theories, and tensor network methods. Lootens explores topics such as entanglement in many-body systems, symmetry-protected topological phases, and the interplay between algebraic structures and physical phenomena. Publications highlight his contributions to understanding lattice representations of dualities, topological sectors in quantum models, and critical lattice models for conformal field theories. His work bridges theoretical frameworks with computational methods, advancing both fundamental physics and quantum information science.

• Quantum Physics
• Theoretical Physics
• Condensed Matter Theory
• +3 more

Mehdi Yazdi is a Lecturer in Pure Mathematics at King's College London, part of the Department of Mathematics within the Faculty of Natural, Mathematical & Engineering Sciences. His research focuses on low-dimensional topology, geometry, and dynamics, with particular emphasis on 3-dimensional manifolds, foliations, mapping class groups, and algorithmic aspects of topology. He holds a PhD from Princeton University (2017) and has held postdoctoral fellowships at the University of Oxford, including the Glasstone Research Fellowship in Science, Titchmarsh Research Fellowship, and a UKRI Postdoctoral Research Fellowship. Education: PhD in Pure Mathematics from Princeton University (2017). Prior to King's College, he was at Oxford from 2017–2021. Research interests include the study of geometric structures on manifolds, algorithmic problems in topology, and the interplay between dynamics and geometry. His work has contributed to understanding foliations, knot theory, and computational aspects of topological invariants. Publications span topics like the stability of foliations, Thurston norms, and computational complexity of knot genus, reflecting his expertise in both theoretical and algorithmic dimensions of geometry and topology. He is a member of the Geometry Group at King's, which explores areas such as algebraic geometry, cohomology theories, and symplectic geometry. His research also engages with broader questions in geometric analysis and low-dimensional dynamics.

• Low-dimensional topology
• Geometry
• Dynamics
• +9 more

Michael Farber is a Professor of Mathematics at Queen Mary University of London's School of Mathematical Sciences. Previously, he held professorships at the Universities of Warwick, Durham, and Tel Aviv. His research focuses on applied and computational topology, topological robotics, stochastic topology, and their applications in distributed computing, genomics, and brain connectivity modeling. He has authored influential monographs such as Invitation to Topological Robotics and Topology of Closed One-Forms . Farber's current research includes projects funded by the Leverhulme Trust and EPSRC, addressing probabilistic and deterministic topology, automated motion planning, and topological robotics. He advises PhD students including Lewin Strauss, Gabriele Beltramo, and Lewis Mead. His work has been recognized with the Royal Society Wolfson Research Merit Award. Key research interests include parametrized topological complexity, sequential motion planning algorithms, and the intersection of topology with AI and robotics. His collaborations span interdisciplinary fields, such as using topological methods in cancer research and genomic analysis. Grants and funding include the Leverhulme Trust's 'Probabilistic and Deterministic Topology' and EPSRC's 'Topology of Automated Motion Planning.' Farber is affiliated with Queen Mary's Centre for Geometry, Analysis, and Gravitation, contributing to advancing topological methodologies in algorithmic and stochastic systems.

• Applied and Computational Topology
• Topological Robotics
• Stochastic Topology
• +3 more

Cécile Mailler is a Reader in Probability at the University of Bath, where she is a member of the probability group Prob-L@B. She has held significant research positions including an EPSRC postdoctoral fellowship (2018-2021) titled "Random trees: analysis and applications" and previously worked as a postdoc at Prob-L@B (2013-2016) as part of Peter Mörters' EPSRC project "Emergence of Condensation in Stochastic Networks". She earned her PhD under the supervision of Brigitte Chauvin and Danièle Gardy at the Laboratoire de Mathématiques de Versailles. Her research focuses on probability theory with emphasis on branching processes, random trees, reinforcement mechanisms, Pólya urns, stochastic approximation, random networks, and statistical physics. She has made significant contributions to understanding preferential attachment models, zero-range processes, and random Boolean trees. Her work bridges theoretical probability with applications in statistical physics and combinatorics. Analysis of her recent publications shows a strong focus on random tree structures, branching processes, and reinforcement learning algorithms, with applications spanning from network theory to statistical mechanics. Her research demonstrates sophisticated mathematical techniques applied to complex stochastic systems, particularly those with reinforcement mechanisms and memory effects. Associate Editor of the Applied Probability Trust (since October 2020) Associate Editor of Stochastic Processes and Their Applications (since March 2022) Author of a general introduction to Pólya urns for the LMS Newsletter (November 2020) Co-organizer of the "Random Walks: Applications and Interactions" conference at CIRM (January 2026) She actively supervises PhD students working on topics including the multi-city ants process, Pólya urns with growing initial composition, large deviations for the Monkey walk, and competing growth processes. She has secured research funding through EPSRC fellowships and has been involved in multiple collaborative projects with prominent researchers in probability theory. Mailler regularly teaches mini-courses on advanced probability topics at international summer schools and workshops, demonstrating her commitment to knowledge dissemination in the field.

• Branching processes
• Random trees
• Reinforcement processes
• +9 more

Tom Coates is a Professor of Pure Mathematics in the Department of Mathematics at Imperial College London's Faculty of Natural Sciences. He holds affiliations with the Artificial Intelligence Network, the CNRS-Imperial Abraham de Moivre UMI, and the Pure Mathematics research group. His office is located in the Huxley Building (662) on the South Kensington Campus, London SW7 2AZ, and he can be contacted via email at t.coates@imperial.ac.uk or phone at +44 (0)207 594 3607. Professor Coates' research spans pure mathematics with emphasis on algebraic geometry, mirror symmetry, and Gromov-Witten theory. He investigates quantum cohomology and Fano variety classification to construct a 'Periodic Table for shapes' through computational algebra, data mining, and machine learning. His work integrates geometric methods with cluster-scale computing to identify structural patterns in algebraic varieties, focusing on quantum periods, toric degenerations, and Laurent polynomial applications. His recent publications (2021-2024) demonstrate a strong trend toward computational classification of Fano varieties and polytopes, leveraging machine learning for dimension prediction and database construction. Key themes include mirror symmetry via Laurent inversion, toric geometry applications, and connections between Gromov-Witten invariants and modular forms. These works often utilize custom tools like PCAS and Fanosearch for large-scale algebraic computations. While specific student names are not listed, Professor Coates mentors PhD and Master's students in algebraic geometry and computational mathematics. His research is supported by the Simons Foundation, member institutions, and contributors, enabling international collaborations through networks like the CNRS-Imperial Abraham de Moivre UMI. He leads a research team developing the Periodic Table for shapes framework, utilizing high-performance computing resources. The team maintains open-source tools including PCAS (Periodic Table for Algebraic Shapes) and Fanosearch for Fano variety exploration, with code repositories hosted on Bitbucket and quantum period databases published in Scientific Data.

• Pure Mathematics
• Algebraic Geometry
• Mirror Symmetry
• +5 more

Dr. Eva-Maria Graefe is a Royal Society University Research Fellow and Senior Lecturer in the Department of Mathematics at Imperial College London. She specializes in quantum dynamics, focusing on the interplay between quantum and classical systems, particularly chaos and dissipation in non-Hermitian systems. Her research explores foundational questions such as how quantum motion relates to macroscopic physical laws and how dissipation can be engineered to control quantum behavior. Education: She earned her PhD in theoretical quantum physics from the Technical University of Kaiserslautern, Germany, followed by a postdoctoral position at the University of Bristol’s mathematical physics group. She joined Imperial College in 2010 as a Junior Research Fellow. Research Interests: Her work spans non-Hermitian quantum systems (e.g., PT-symmetric models), quantum chaos, semiclassical quantization, and Bose-Hubbard systems. She investigates exceptional points, Landau-Zener transitions, and the dynamics of open quantum systems with losses or gain. Her group is supported by the Royal Society and an ERC Starting Grant. Scientific Contributions: Notable achievements include studies on Husimi distributions in non-Hermitian systems, quantum-jump dynamics, and the semiclassical analysis of Bloch oscillations in dissipative lattices. Teaching & Outreach: She teaches quantum mechanics to undergraduates and Master’s students and engages in outreach to inspire high school students. She mentors a research group of PhD and Master’s students. Labs/Teams: Her lab focuses on theoretical and computational studies of quantum dynamics, supported by advanced grants and collaborations within Imperial’s Faculty of Natural Sciences.

• Quantum Mechanics
• Quantum Dynamics
• Non-Hermitian Quantum Systems
• +3 more

Yang Li is a Royal Society University Research Fellow at the University of Cambridge, affiliated with the Department of Pure Mathematics and Mathematical Statistics within the Faculty of Mathematics. His research lies at the intersection of differential geometry, complex geometry, and mathematical physics, with a focus on foundational structures in string theory and mirror symmetry. Dr. Li's primary research interests center on Calabi-Yau metrics , special Lagrangian submanifolds , special holonomy , and gauge theory . His work explores the geometric behavior of Calabi-Yau manifolds under degeneration, addressing fundamental questions about metric collapse, diameter bounds, and the structure of singular limits. He has made significant contributions to the SYZ conjecture through constructions of explicit metrics and analysis of fibrations, while his gauge theory research examines singular connections and their topological implications. His publication record demonstrates a strong trajectory in geometric analysis, with recent work establishing uniform diameter bounds for collapsing Calabi-Yau metrics, developing non-Archimedean approaches to the SYZ conjecture, and proving uniqueness results for tangent cones of special Lagrangians. The research spans both theoretical developments in metric geometry and concrete constructions of geometric structures. Notable recognition includes the prestigious Royal Society University Research Fellowship , which supports his independent research program at Cambridge. Actively recruiting PhD students for October 2025 entry Research supported by Royal Society funding Dr. Li maintains an active research program within Cambridge's world-leading Department of Pure Mathematics and Mathematical Statistics, collaborating with leading geometers including Valentino Tosatti and Tristan Collins. His work bridges abstract geometric theory with applications to theoretical physics, particularly in understanding the geometric foundations of mirror symmetry.

• Calabi-Yau metrics
• Special Lagrangians
• Special holonomy
• +3 more

Professor Dmitri Panov is a Professor of Geometry at King's College London, part of the Faculty of Natural, Mathematical & Engineering Sciences. He holds a PhD from École Polytechnique (2005) and has held academic positions including Royal Society Research Fellow (2010–2012), Senior Research Fellow (2012–2015), and Reader (2015–2020) at King’s College. His research focuses on complex, symplectic, and hyperbolic geometry, with a particular emphasis on polyhedral Kahler structures and definite connections. Education: Bachelor’s degree from Moscow State University (1998) PhD from École Polytechnique, France (2005) Research Interests: Panov studies geometric structures such as polyhedral Kahler manifolds and definite connections. His work bridges algebraic, differential, and symplectic geometry, with applications to moduli spaces, spherical metrics, and geometric analysis. Grants & Projects: EPSRC Grant: Kaehler manifolds of constant curvature with conical singularities (2019–2023) Royal Society Grant: Polyhedral Kahler Geometry (2017–2018) Geometric structures on manifolds (2015–2018) Events: Panov has participated in events like the Mathematics Inaugural Lecture (2023) and PhD program introductions, emphasizing his role in academic leadership and outreach.

• Complex Geometry
• Symplectic Geometry
• Hyperbolic Geometry
• +3 more

Peter Johnstone is Professor of Foundations of Mathematics at the University of Cambridge, affiliated with the Department of Pure Mathematics and Mathematical Statistics within the Faculty of Mathematics. His academic profile shows consistent contributions to foundational mathematical research over several decades, with current contact information indicating active engagement in his position. Johnstone's primary research focus lies in category theory, specifically topos theory and its connections with mathematical logic. His work explores the deep structural relationships between algebraic structures, logical systems, and geometric interpretations within categorical frameworks. His research has significantly advanced our understanding of locales, realizability toposes, and the categorical foundations of mathematical logic. Analysis of his recent publications reveals a consistent trajectory in topos theory with emphasis on geometric morphisms, realizability structures, and categorical logic. His work demonstrates sophisticated interplay between abstract category theory and concrete mathematical structures, particularly in how logical systems can be represented and manipulated within topos-theoretic frameworks. Johnstone maintains an active academic presence with a personal homepage at the University of Cambridge and standard university contact information including email (P.T.Johnstone@dpmms.cam.ac.uk), office location (Room C0.01), and telephone number (01223 337985). His extensive publication record spanning from the 1980s through the 2010s indicates sustained scholarly activity in his specialized field.

• Category Theory
• Topos Theory
• Mathematical Logic
• +3 more

Iain Moffatt is a full-time Professor in the Department of Mathematics at Royal Holloway, University of London, and currently serves as the Head of Department. His research lies at the interface of combinatorics and topology, focusing on graph polynomials, delta-matroid theory, and their applications to knot theory and statistical mechanics. Education: MSci in Mathematics, University of St Andrews PhD in Mathematics, University of Warwick His research interests include algebraic combinatorics, graph theory, topology, and the application of graph theory to biology. He has contributed extensively to the study of topological extensions of graph polynomials, such as the Tutte and Penrose polynomials, and their connections to quantum invariants and knot theory. His recent work explores the Surface Tutte polynomial , delta-matroid theory , and hypermap polynomials , with a focus on deletion-contraction operations, partial duality, and algebraic structures. These studies often intersect with topological graph theory and combinatorial topology . Notable external roles include serving as Editor-in-Chief of the London Mathematical Society Newsletter (2016-2019) and organizing international conferences such as the SiMEGG: Structure in Matroids, Embedded Graphs and Graphs (2026). Grants & Projects: Hypermaps: Polynomials, Dualities, and Minors (2024-2025, EPSRC) Investigations of algebraic graphs of large girth (2023-2024, British Academy) Collaborative research with Prof. Sergei Lando (2017-2018, LMS)

• Algebraic combinatorics
• Graph theory
• Topology
• +5 more

Ambrus Pal is a Reader in Pure Mathematics at the Department of Mathematics, Imperial College London, within the Faculty of Natural Sciences. His research interests span Pure Mathematics, Mathematical Physics, and Applied Mathematics, with a focus on algebraic geometry, number theory, and cohomology theories. He is affiliated with the CNRS-Imperial Abraham de Moivre UMI and contributes to both research and teaching in mathematics. His work often addresses cohomological pairings, arithmetic geometry, and the Brauer-Manin obstruction. Notable projects include studies on p-adic cohomology, motivic Euler characteristics, and the arithmetic Yau-Zaslow formula. Pal has collaborated on international conferences and schools, such as the LMS-CMI Research School on Homotopy Theory and Arithmetic Geometry. His publications reflect a deep engagement with abstract algebraic structures, including quasi-Boolean groups, Grothendieck-Witt rings, and real projective geometry. While his research emphasizes theoretical advances, applications to arithmetic applications and global function fields are recurrent themes. No scientific awards or advising records are explicitly mentioned.

• Pure Mathematics
• Mathematical Physics
• Applied Mathematics
• +3 more

Professor Neil Strickland is a faculty member at the University of Sheffield's School of Mathematical and Physical Sciences, holding the rank of Professor. He earned his PhD from the University of Manchester in 1992 and held positions as a C.L.E. Moore Instructor at MIT and a Research Fellow at Trinity College Cambridge before joining Sheffield in 1998. He received the prestigious Whitehead Prize from the London Mathematical Society in 2005. His research focuses on stable homotopy theory, exploring connections between topology, algebraic geometry, and category theory. Key areas include formal group laws, chromatic homotopy theory, and equivariant cohomology. Prof. Strickland emphasizes translating topological problems into algebraic frameworks, leveraging category theory for structural insights. Grants: He has led EPSRC-funded projects, including 'Symmetric Powers of Spheres' and 'Equivariant Elliptic Cohomology and Class Field Theory,' and collaborated on grants like 'Higher Structures on Elliptic Cohomology.' Teaching: Prof. Strickland instructs courses such as MAS334 Combinatorics and MAS435 Algebraic Topology. His homepage provides further academic resources and materials. Awards: His recognition includes the Whitehead Prize, reflecting contributions to algebraic topology and homotopy theory.

• Algebraic Topology
• Stable Homotopy Theory
• Formal Groups
• +3 more

Dr. Paul Mitchener is a Lecturer at the University of Sheffield within the School of Mathematical and Physical Sciences . He serves as the MSc Mathematics Admissions Tutor and Course Director , contributing to both research and postgraduate education. His research lies at the intersection of Algebraic Topology and Functional Analysis , with a focus on non-commutative geometry, K-theory, index theory, and coarse geometry. He has explored applications of these areas to problems in operator algebras and topology, particularly through work on the Baum-Connes conjecture, Novikov conjecture for semigroups, and coarse homotopy groups. The 15 most recent publications highlight trends in his work: (1) Coarse Geometry (2020, 2001), (2) Novikov Conjecture (2018, 2011), (3) KK-Theory and C*-Categories (2002, 2007), (4) E-Theory (2020), and (5) Descent Techniques (2012, 2010). These works frequently involve analytical methods in topological problems.

• Algebraic Topology
• Functional Analysis
• Non-Commutative Geometry
• +7 more

Felipe Thomaz is an Associate Professor of Marketing at Saïd Business School, University of Oxford, and Deputy Director of the Oxford Future of Marketing Initiative. He holds a PhD in Marketing from the University of Pittsburgh and previously taught at the University of South Carolina. His research focuses on marketing strategy, AI ethics, illicit markets, and ESG integration, with notable contributions to frameworks like Ad Net Zero for net-zero advertising emissions. He collaborates with UN agencies, NGOs, and tech companies to address global sustainability goals and wildlife trafficking networks. Education: PhD in Marketing (University of Pittsburgh), MSc in Marketing & Finance (University of Pittsburgh), BSc in Animal Sciences (University of Florida). Research interests include digital marketing channels, brand performance via social networks, AI-driven marketing strategies, and conservation science linked to wildlife trade. His work bridges academia and industry, resulting in spinouts and IP transfers from Saïd Business School. Key projects include: Ad Net Zero: Global standard for reducing advertising emissions UN collaboration on wildlife trafficking through dark web analysis UNESCO partnerships on eliminating stereotypes in advertising His interdisciplinary approach spans marketing, mathematics, and conservation science, with publications in top journals like Journal of Marketing and Conservation Science and Practice .

• Marketing Strategy
• Digital Marketing
• AI Ethics in Business
• +6 more

Dr. Navid Nabijou is a Lecturer in Mathematical Sciences at Queen Mary University of London, part of the School of Mathematical Sciences. He is affiliated with the Centre for Combinatorics, Algebra and Number Theory. His research focuses on algebraic geometry, particularly moduli spaces and combinatorial techniques from logarithmic and tropical geometry. He earned his PhD from Imperial College London in 2018, followed by postdoctoral positions at the University of Glasgow and the University of Cambridge before joining Queen Mary in 2022. His research interests include algebraic curves, Gromov-Witten theory, logarithmic and tropical geometry, orbifolds, and moduli spaces. He has secured grants such as the COW Algebraic Geometry Seminar (Heilbronn 2025) and the London Mathematical Society grants for conferences and seminars. His work bridges algebraic geometry with combinatorial methods, addressing foundational questions in enumerative geometry and moduli theory. Key research trends in his recent articles include applications of logarithmic and tropical geometry to Gromov-Witten invariants, moduli spaces of curves, and toric varieties. He has contributed to understanding universality in tropical maps, divisors on logarithmic mapping spaces, and degenerations of hypersurfaces. Dr. Nabijou has advised no students listed, but his grants support collaborative research activities. His lab or team is part of the Centre for Combinatorics, Algebra and Number Theory at Queen Mary University of London.

• Algebraic Geometry
• Moduli Spaces
• Gromov-Witten Theory
• +3 more