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Cong Ling is a Professor of Information Theory and Cryptography at Imperial College London's Department of Electrical and Electronic Engineering, within the Faculty of Engineering. His research focuses on lattice theory and its applications in coding, cryptography, quantum information, and number theory. Key affiliations include the Academic Centre of Excellence in Cyber Security Research and the Engineering Secure Software Systems group. Education details are not explicitly provided in the text, but his professional experience indicates advanced qualifications in electrical engineering and mathematics. Research interests span lattice-based cryptography, post-quantum security, algebraic coding theory, and quantum-resistant algorithms. His work bridges information theory and number theory, with contributions to MIMO systems, secure communication protocols, and cryptographic protocol design. Recent publications emphasize lattice reduction techniques, quantum algorithms for the shortest vector problem, and advancements in polar codes. Notable trends include exploration of non-commutative algebras for cryptography, Gaussian sampling optimizations, and hybrid quantum-classical approaches to hard integer problems. Over 50+ articles published since 2018 reflect his leadership in lattice-based research and quantum-safe technologies. Awards: None explicitly listed in the text. Grants/Advising: No specific grants or student advisees mentioned; focus remains on collaborative research outputs. Labs/Teams: Associated with Imperial's Cyber Security Research groups and quantum engineering initiatives.

• Information Theory
• Cryptography
• Lattice Theory
• +5 more

Arend Bayer is a Professor of Algebraic Geometry at the University of Edinburgh's School of Mathematics, where he has been a faculty member since 2012. He specializes in areas such as stability conditions, moduli spaces, and derived categories, contributing to the understanding of Fano varieties, K3 surfaces, and wall-crossing phenomena. His research emphasizes collaboration, reflecting his belief in mathematics as a social endeavor. Education: Arend holds degrees from prestigious institutions, including a PhD from the University of Bonn, with earlier studies at Heidelberg University and a year at the University of Cambridge. His academic journey reflects a deep commitment to advancing algebraic geometry through rigorous research and interdisciplinary collaboration. Research Interests: Arend’s work focuses on algebraic geometry, particularly in stability conditions, Fano varieties, and moduli spaces. He explores the interplay between algebraic structures and geometric objects, often employing derived categories and wall-crossing techniques. His contributions include foundational insights into Kuznetsov components and the geometry of cubic threefolds. Collaborations are central to his approach, emphasizing problem-solving through shared ideas and sustained intellectual exchange. Scientific Awards: No specific scientific awards were mentioned in the provided text. Advising and Grants: While specific advising records or grant details are not detailed in the text, Arend’s collaborative approach suggests active involvement in mentoring and securing research funding. Labs and Teams: Arend contributes to a thriving research group within the School of Mathematics at Edinburgh, focusing on structural and symmetrical aspects of algebraic geometry. His work aligns with broader initiatives in the department, fostering a collaborative environment for advanced mathematical inquiry.

• Algebraic Geometry
• Moduli Spaces
• Stability Conditions
• +4 more

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

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

Konstantin Ardakov is a Tutorial Fellow in Mathematics at Brasenose College and University Lecturer in Pure Mathematics at the University of Oxford. He holds an MMath from the University of Oxford and a PhD from the University of Cambridge. His academic background includes positions at the Universities of Sheffield, Nottingham, Queen Mary University of London before returning to Oxford in 2013. Dr. Ardakov's research focuses on applying techniques from algebraic geometry and noncommutative algebra to study problems in representation theory arising from areas of algebraic number theory such as non-commutative Iwasawa theory and the Langlands programme. His work explores the geometric representation theory of p-adic groups and the development of p-adic analogues of Beilinson-Bernstein localization.

• Algebraic geometry
• Noncommutative algebra
• Representation theory
• +1 more

Emanuele Dotto is an Associate Professor in the Mathematics Institute at the University of Warwick, specializing in algebraic topology with focus on Hermitian K-theory, topological Hochschild homology, and equivariant homotopy theory. His research bridges algebraic structures and homotopical methods , particularly through the development of Poincaré categories and real topological Hochschild homology theories. Current projects investigate connections between Witt vectors, cyclic homology, and K-theoretic invariants. He leads seminars on advanced topics including cyclotomic spectra, Franke's algebraicity conjecture, and Adams spectral sequences. Recent editorial responsibilities include the Journal and Bulletin of the London Mathematical Society. EPSRC New Investigator Award recipient (2022-2025) DFG-funded research through SPP 1786 Priority Program

• Algebraic Topology
• Hermitian K-theory
• Topological Hochschild Homology
• +3 more

Professor Massimiliano Gubinelli is the Wallis Professor of Mathematics at the University of Oxford and a Professorial Fellow at St. Anne's College. He leads the Stochastic Analysis Group within the Mathematical Institute, where his research focuses on stochastic analysis, constructive quantum field theory, and the intersection of probability theory with partial differential equations (PDEs) and renormalization group methods. His work spans statistical mechanics of multiscale systems, analysis of PDEs with random terms, homogenisation theory, mathematical quantum mechanics, path-integral formalisms, and non-commutative probability/geometry. He has pioneered paracontrolled distribution techniques to study singular stochastic PDEs and explored rough paths in ramification and transport equations. Recent publications highlight advancements in the sine-Gordon model via stochastic quantization, nonlinear PDEs with modulated dispersion, and ρ-irregularity in stochastic systems. His research bridges stochastic analysis, quantum field theory, and PDEs, emphasizing pathwise behavior and renormalization. Scientific Awards Junior member of the Institut Universitaire de France (2013–2018) Invited session speaker at the 2018 International Congress of Mathematicians (ICM) in Rio He contributes to scientific software development as a lead developer of TeXmacs , an open-source platform for technical documents, and teaches courses such as C8.1 Stochastic Differential Equations (MT22). No formal student advisement or grant details are provided.

• Stochastic Analysis
• Constructive Quantum Field Theory
• Statistical Mechanics of Multiscale Systems
• +9 more

Professor Martin Hyland is a Professor of Mathematical Logic in the Department of Pure Mathematics and Mathematical Statistics within the Faculty of Mathematics at the University of Cambridge. His work bridges mathematical logic, category theory, and theoretical computer science, with significant contributions to lambda calculus, realizability, and game semantics. Professor Hyland's research spans three interconnected domains: Mathematical Logic (focusing on Lambda Calculus, Recursion Theory, Realizability, Proof Theory, and Linear Logic), Category Theory (specializing in Topos Theory, Categorical Algebra, Operads, and Higher-dimensional Categories), and Theoretical Computer Science (exploring Applications of Category Theory, Domain Theory, Polymorphism, and Game Semantics). His work demonstrates how abstract mathematical structures can illuminate computational phenomena. His recent publications reveal a continued focus on categorical structures for computation, with increasing attention to higher-dimensional categorical frameworks. His work connects foundational logic with practical computational models, showing how category theory provides unifying principles across diverse computational paradigms. The progression from lambda calculus to game semantics to higher categorical structures demonstrates deepening connections between abstract mathematics and computation. Professor Hyland has made foundational contributions to game semantics, categorical models of lambda calculus, and the categorical understanding of algebraic theories. His work on computational effects, particularly in papers like 'Combining algebraic effects with continuations' and 'Combining computational effects: Commutativity and sum,' has influenced both theoretical computer science and practical programming language design.

• Mathematical Logic
• Lambda Calculus
• Recursion Theory
• +13 more

Dr Jan Spakula is an Associate Professor in Pure Mathematics at the University of Southampton within the School of Mathematical Sciences. He joined the university in 2013 as a Lecturer and was promoted to Associate Professor in 2022, maintaining active research and teaching responsibilities. Education: PhD in Mathematics from Vanderbilt University (2008) Postdoctoral positions at the University of Münster and University of Vienna Research Focus: Spakula specializes in the intersection of operator algebras and geometric structures, particularly examining C*-algebras through the lens of noncommutative geometry and coarse geometric properties of groups. His work establishes critical connections between analytic representations and geometric boundaries of non-positively curved spaces, often collaborating with Kevin Boucher on boundary representation frameworks. Publication Trends: His 2013-2024 publications reveal persistent investigation into rigidity phenomena in Roe algebras, asymptotic expander constructions, and coarse median structures. This body of work consistently bridges geometric group theory with functional analysis, demonstrating how coarse geometric invariants manifest in operator algebraic settings through Property A and quasi-locality frameworks. Research Funding: Boundary representations of non-positively curved groups (EPSRC) EU FP7 - Coarse Analysis project (European Union) Academic Contributions: Dr Spakula teaches undergraduate modules including Linear Algebra II and Engineering Foundation Year Mathematics (GENG0001/GENG0002). He actively supervises research as a member of the Pure Mathematics Centre for Geometry, Topology, and Applications, currently accepting new PhD students for projects in geometric group theory and operator algebras.

• C*-algebras
• noncommutative geometry
• geometric group theory
• +2 more

Nick Wright is an Associate Professor of Pure Mathematics at the University of Southampton , where he also serves as the Undergraduate Admissions Tutor for Mathematical Sciences. His research spans geometric and noncommutative frameworks, with a focus on coarse geometry and the Baum-Connes conjecture. Education: PhD in Mathematics from Penn State University, USA; BA/Part III/MA from the University of Cambridge. Research Interests: Nick investigates coarse geometry, non-commutative geometry, and geometric group theory. His work includes projects on metric geometry and analysis, Yu's Property A, amenable groups, and K-theory of affine Weyl groups. He collaborates with researchers like Graham Niblo and Roger Plymen. Recent Publications highlight trends in coarse median spaces, property A, and duality theorems. These works bridge abstract algebra with geometric structures, emphasizing infinite-dimensional analysis and topological classifications. Scientific Awards: Vice Chancellor's Award for Teaching (2013). Teaching: He currently teaches Hilbert Spaces and Harmonic Analysis modules, extending algebraic concepts to infinite-dimensional settings. Formerly taught Calculus and Analysis. Supervision: Currently supervises PhD students Dominic Charles Majda, Jane Toni Joy Turner, and Max Clarke in the Mathematical Sciences department. Grants: Funded by EPSRC and the Leverhulme Trust for projects including the Baum-Connes Conjecture and interdisciplinary work on preventing wide-area blackouts.

• Coarse geometry
• Non-commutative geometry
• The Baum-Connes conjecture
• +7 more

Anastasia Doikou is a Professor of Mathematics at the School of Mathematical & Computer Sciences, Heriot-Watt University, and a member of the Maxwell Institute for Mathematical Sciences in Edinburgh. She holds a prominent role as the convener of the Mathematical Physics Group within the Department of Mathematics. Previously, she served as Director of Research (Associate Executive Dean of Research) in her school from 2019-2022. Her academic journey includes a BSc in Physics from the National & Kapodistrian University of Athens and a PhD in Theoretical Physics from the University of Miami (1999). Postdoctoral positions spanned institutions such as Durham University, the University of York (via an EPSRC Fellowship), LAPTH-Annecy, and the University of Bologna before her tenure at Heriot-Watt since 2013. Education: BSc Physics, National & Kapodistrian University of Athens PhD Theoretical Physics, University of Miami (1999) Research Interests: Her research focuses on quantum and classical integrable systems, quantum algebras, Yang-Baxter and reflection equations, and their applications. She explores topics such as integrable quantum spin chains, Bethe ansatz techniques, braid groups, Temperley-Lieb algebras, and soliton solutions in integrable PDEs. Her work bridges algebraic structures (e.g., braces, quandles) with integrability, emphasizing their role in non-local and non-commutative systems. Recent Trends in Articles: Her publications from 2022–2025 highlight advancements in algebraic solutions to the Yang-Baxter equation using braces and skew braces, parametric approaches to reflection and set-theoretic equations, and explorations of quantum group symmetries. These contributions underscore her expertise in connecting abstract algebraic frameworks with integrable models in mathematical physics. Awards: EPSRC Fellowship (2007) Lab/Team Affiliations: Part of the Maxwell Institute for Mathematical Sciences and the Mathematical Physics Group at Heriot-Watt University.

• Mathematical Physics
• Quantum Integrable Systems
• Classical Integrable Systems
• +3 more

Viveka Erlandsson is an Associate Professor in the School of Mathematics at the University of Bristol, affiliated with the Institute for Pure Mathematics and the Institute for Probability, Analysis, and Dynamical Systems. She previously held postdoctoral positions at the University of Helsinki, University of Fribourg, and Aalto University. Her research focuses on hyperbolic geometry, low-dimensional topology, and Teichmüller theory, with emphasis on counting curves and geodesics, geodesic currents, billiards, and mapping class group dynamics. She has contributed to equidistribution theorems, rigidity problems, and connections between flat and hyperbolic surfaces. Recent publications include work on reciprocal geodesics, non-orientable surface dynamics, and geodesic counting via currents. Her articles span hyperbolic geometry, dynamical systems, and geometric group theory, reflecting interdisciplinary methodologies. LMS Anne Bennett Prize (2021) Whitehead Prize (2024) She advises PhD students and collaborates with researchers such as Juan Souto, Moon Duchin, and Chris Leininger. Her project 'Geodesic Currents and Counting Problems' (2020–2022) was funded by the University of Bristol.

• Hyperbolic Geometry
• Low Dimensional Topology
• Teichmüller Theory
• +3 more

Chunyi Li is an Associate Professor at the Mathematics Institute (University of Warwick) and a Royal Society University Research Fellow. Previously, he was a Postdoctoral Research Fellow at the University of Edinburgh (2014–2017) and a Leverhulme Early Career Fellow at Warwick (2017–2020). He holds a Ph.D. from the University of Illinois at Urbana-Champaign (2014) and a BA from Peking University (2009). His research focuses on algebraic geometry, derived categories, stability conditions, and moduli spaces, with applications to birational geometry and categorical methods. Education: Bachelor of Arts (BA), Peking University, Beijing, China (2009) Doctor of Philosophy (Ph.D.), University of Illinois at Urbana-Champaign (2014) Research Interests: Derived categories and their stability conditions Moduli spaces of sheaves and Bridgeland stability Birational geometry of algebraic varieties Categorical methods in algebraic geometry Awards and Grants: Royal Society University Research Fellowship (current) Leverhulme Early Career Fellowship (2017–2020) ERC Starting Grant WallXBirGeom (as researcher, 2014–2020) Key Research Themes: His work explores foundational aspects of derived categories, including their geometric implications and applications to moduli problems. Recent studies focus on stability conditions on Fano varieties, cubic fourfolds, and hyperkähler manifolds, as well as categorical Torelli theorems and birational geometry.

• Algebraic Geometry
• Derived Categories
• Stability Conditions
• +3 more

Martin Bays is the Departmental Lecturer in Logic at the University of Oxford's Mathematical Institute. His research focuses on model theory, algebraic geometry, and combinatorics, with applications to geometric structures and group theory. Bays holds a DPhil from Oxford, supervised by Boris Zilber, and has contributed to foundational work in pseudo-exponential maps and Elekes-Szabó problems. He co-organized the seminar on simple theories with Franziska Jahnke and teaches courses such as Introductory Logic and Set Theory at Oxford. Education: DPhil in Mathematics (Oxford University, 2010-2014), supervised by Boris Zilber. Research interests include model-theoretic algebra, geometric stability theory, combinatorial incidence geometry, and applications of model theory to algebraic structures. His work bridges abstract logical frameworks with concrete problems in geometry and group theory. Teaching: Courses include B1.1 Logic, B1.2 Set Theory, and advanced topics like Model Theory and Geometric Group Theory. He has also taught at McMaster University and Münster University. Professional Activities: Co-organized the Z75 model theory conference (2024), contributed to the Model Theory of Compact Complex Manifolds with Automorphisms, and published extensively in journals like Annals of Science École Normale Supérieure and Journal of the Institute of Mathematics Jussieu.

• Model Theory
• Algebraic Geometry
• Combinatorics
• +3 more

Andre Henriques is a Professor at the Mathematical Institute of the University of Oxford, located in the Andrew Wiles Building of the Radcliffe Observatory Quarter. His research focuses on Conformal field theory, Algebraic topology, Operator algebras, and Representation theory. He is affiliated with the Functional Analysis and Topology research groups. Recent work includes publications on W*-categories, Segal-Neretin semigroups, and planar algebras. His research bridges advanced mathematical structures with applications in theoretical physics and quantum topology. Henriques maintains a professional website at andreghenriques.com and is registered with ORCID (ID: 0000-0002-7804-8421 ). His recent publications emphasize categorical frameworks, geometric group theory, and operator algebraic techniques, reflecting a deep engagement with foundational mathematical problems. No formal advising or grant details are highlighted in the provided text.

• Conformal field theory
• Algebraic topology
• Operator algebras
• +1 more