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Kenneth J. Falconer is the Regius Professor of Mathematics at the University of St Andrews, where he is a member of the School of Mathematics and Statistics and the Analysis Research Group. He has held prestigious positions at the University of Bristol and Corpus Christi College, Cambridge, and has been a visiting professor at institutions including Oregon State University and the Australian National University. Regius Professor of Mathematics, University of St Andrews (2017–present) Professor of Mathematics, University of St Andrews (1993–2017) Reader, University of Bristol Lecturer, University of Bristol Research Fellow, Corpus Christi College, Cambridge His research centers on fractal and multifractal geometry, geometric measure theory, and related fields. He has made seminal contributions to the understanding of fractal projections, dimensional analysis of self-affine sets, and fractal processes. His work includes the concept of the digital sundial and the introduction of the affinity dimension and Falconer’s distance problem. His research spans dimensional analysis, random fractals, PDEs on fractal domains, and combinatorial geometry. The most recent publications show a sustained focus on intermediate dimensions, projections of fractal sets and measures, and the dimensional properties of stochastic processes. His work frequently involves collaboration with leading mathematicians and appears in top journals such as Transactions of the American Mathematical Society , Ergodic Theory and Dynamical Systems , and Journal of Fractal Geometry . Fellow of the Royal Society of Edinburgh (1998) Shephard Prize, London Mathematical Society (2020) CBE, King’s New Year’s Honours (2024) Kenneth Falconer has supervised numerous students and collaborated with many researchers including Jonathan Fraser, Pertti Mattila, and Xiong Jin. He has served on editorial boards for Fractals , Journal of Fractal Geometry , and Mathematical Proceedings of the Cambridge Philosophical Society . He has been active in professional service, including as Chair of the British Mathematical Colloquium 2018 and Publications Secretary of the London Mathematical Society (2006–2009). He organized major programs at the Isaac Newton Institute and Mittag-Leffler Institute. He is also known for his involvement in the Long Distance Walkers Association, where he served as Chairman and Editor of Strider , and for his mathematical poetry featured in publications like the London Mathematical Society Newsletter .

• Fractal Geometry
• Geometric Measure Theory
• Multifractal Measures
• +6 more

Professor Gary Gibbons is a distinguished academic at the University of Cambridge, holding the position of Professor of Theoretical Physics within the Department of Applied Mathematics and Theoretical Physics (DAMTP), part of the Faculty of Mathematics. His research focuses on general relativity, quantum gravity, cosmology, and black hole physics. He is a core member of the Relativity and Gravitation Group, known for contributions to gravitational wave theory, black hole thermodynamics, and geometric methods in physics. His work intersects with areas such as the memory effect of gravitational waves, Carroll symmetry, and the mathematical structure of spacetime. Prof. Gibbons collaborates internationally, publishing extensively in top journals like Physical Review D and Classical and Quantum Gravity . His research also extends to applied mathematics, including studies on abrasion processes and shape evolution in geosciences. He maintains an active role in theoretical physics, advising graduate students and contributing to the academic community through lectures and seminars.

• Theoretical Physics
• General Relativity
• Cosmology
• +3 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

Oleg Kozlovski is an Associate Professor at the University of Warwick. His research focuses on dynamical systems, ergodic theory, mathematical physics, and financial mathematics. He has held an EPSRC Advanced Fellowship (2001–2006) for research in Complex Dynamics and Fast Dynamo Theory. His work combines pure mathematical analysis with applications to economics and physics. Teaching responsibilities include MA132 Foundations. His research explores hyperbolicity, rigidity phenomena, and bifurcation theory in dynamical systems. Notable contributions include studies on unimodal maps' density in C^k topologies and rigidity of real polynomials. Grants include £1.9M EPSRC funding for foundational dynamical systems research. His work bridges pure mathematics with applied fields like economic modeling and nonlinear dynamics.

• Dynamical Systems
• Ergodic Theory
• Mathematical Physics
• +3 more

Professor Stephen Taylor is a leading historian specializing in early modern British history, particularly the religious and political history of seventeenth- and eighteenth-century England. He is affiliated with the Department of History at Durham University, where he holds the rank of Professor in Early Modern British History. His scholarly work spans topics such as Anglicanism, court culture, party politics, and the relationship between church and state. Professor (Early Modern British History), Department of History, Durham University Co-Director, The Clergy of the Church of England Database 1540–1835 Co-Founder, Durham University IMEMS Press His research interests include the identity of Anglicanism, religious conformity during the English Revolution, the Hanoverian monarchy and court culture (especially Queen Caroline of Ansbach), the Church of England from the 16th to 19th centuries, the Revolution of 1688, and news culture in the later seventeenth century. He has also studied figures such as John, Lord Hervey, and Edmund Gibson. Professor Taylor’s recent publications reflect a consistent focus on ecclesiastical history, political theology, and archival scholarship. His work often analyzes religious identity, state formation, and the interplay between monarchy and church. He has contributed to major scholarly editions and databases, demonstrating a commitment to both interpretive and infrastructural academic work. His editorial roles in volumes like The Nature of the English Revolution Revisited and National Prayers underscore his leadership in the field. His scholarly recognition includes multiple visiting fellowships at prestigious institutions such as the Huntington Library, Folger Shakespeare Library, and the Harry Ransom Center. These awards reflect the high esteem in which his work is held internationally. 2024: Visiting Fellow, The Huntington Library, California 2012: Woodward and Bernstein Endowment Fellow, Harry Ransom Humanities Research Center 2011: Visiting Fellow, Peterhouse, Cambridge 2009: Visiting Fellow, Folger Shakespeare Library 2007: Pforzheimer Fellow, Harry Ransom Humanities Research Center 2007: Visiting Fellow, Folger Shakespeare Library Professor Taylor actively supervises postgraduate research, with students working on topics such as the Earl of Danby, the transmission of taste, John Pearson, obedience and subversion under the late Stuarts, and William Laud’s economic thought. He has been involved in significant grant-funded projects, including the AHRC-supported Cultural Heritage 360 report and the long-term Clergy of the Church of England Database . His editorial and collaborative work indicates strong leadership in shaping future directions in arts and humanities research. He is a key figure in the Institute of Medieval and Early Modern Studies (IMEMS) and has helped establish Durham University IMEMS Press, further cementing his role in advancing scholarship in medieval and early modern studies.

• Early Modern British History
• Religious History
• Political History
• +13 more

Professor Maciej Dunajski is a University Professor of Mathematical Physics at the Faculty of Mathematics, University of Cambridge, and a Senior Lecturer at Clare College Cambridge. His career spans institutions including Oxford and Cambridge, with roles ranging from Tutorial Fellow to Senior Research Associate. He holds a DPhil from the Mathematical Institute, Oxford, and was awarded the title of Professor by the President of Poland in 2011. University Professor of Mathematical Physics, Faculty of Mathematics, University of Cambridge (2021–present) University Reader in Mathematical Physics, University of Cambridge (2020–2021) Fellow at Clare College Cambridge (2003–present) Author of Solitons, Instantons & Twistors (Oxford University Press, 2009) His research focuses on Twistor Theory , Integrable Systems , and Differential Geometry , with significant contributions to self-dual gravity, Einstein-Weyl structures, and geometric solutions to nonlinear equations. His work bridges mathematics and theoretical physics, including applications to quantum gravity and black hole thermodynamics. Dunajski's recent publications highlight advancements in conformal geometry, null Kähler structures, and higher-dimensional relativity. His collaborations span researchers like K. P. Tod, R. Penrose, and L. Mason. He is based in Room B2.14 at DAMTP, Cambridge, and maintains an active research group in high-energy physics.

• Twistor Theory
• Integrable Systems
• Differential Geometry
• +3 more

Neil Lambert is a Professor of Theoretical Physics at King's College London's Department of Mathematics within the Faculty of Natural, Mathematical & Engineering Sciences. He previously held a PPARC Advanced Fellowship at King's and worked at CERN from 2010-2013. His research focuses on supersymmetry, string theory, and M-theory, particularly studying M2 and M5 branes, non-relativistic field theories, and non-Lorentzian spacetime symmetries. Education: BSc in Mathematics and Physics from the University of Toronto (1992), PhD in String Theory and Branes from the University of Cambridge (1996). Postdoctoral roles included positions at King's, ENS Paris, and Rutgers University. Recent work explores non-relativistic brane dynamics, AdS/CFT correspondence, and M-theory's microscopic degrees of freedom. He chairs the STFC-funded Fundamental Physics UK virtual centre and edits Physics Letters B . Key contributions include the BLG model for M2-branes and advances in understanding non-supersymmetric branes. Publications emphasize topics like null reductions of M5-branes, conformal field theories in 5D/6D, and non-Lorentzian symmetries. His research bridges string theory, quantum field theory, and geometry, with applications in holography and gauge-gravity duality.

• Supersymmetry
• String Theory
• M-Theory
• +5 more

Jason P. Miller is a Professor in the Statistics Laboratory at the Department of Pure Mathematics and Mathematical Statistics (DPMMS), University of Cambridge, and a Fellow of Trinity College, Cambridge. He previously held the Poincaré Chair at IHP in the 2015-2016 academic year and was a post-doctoral researcher at MIT and Microsoft Research. Miller's research focuses on probability theory, particularly stochastic interface models, random surfaces, Schramm-Loewner evolutions (SLE), Liouville quantum gravity, and random planar maps. His work bridges mathematical physics and probability, exploring deep connections between random geometry, conformal field theory, and statistical mechanics. He has made fundamental contributions to understanding the relationship between Liouville quantum gravity and the Brownian map, and has extensively studied the properties of Schramm-Loewner evolutions in various contexts. Miller's publication record shows a consistent focus on the intersection of probability theory and mathematical physics, with a particular emphasis on scaling limits of discrete models to continuum objects. His work often involves collaborations with prominent researchers like Scott Sheffield and Ewain Gwynne, and demonstrates a progression from foundational work on SLE and the Gaussian free field to more recent breakthroughs in Liouville quantum gravity and its connections to random planar maps. Scientific Awards Rollo Davidson Prize, 2015 Poincaré Chair, 2015-2016 academic year Whitehead Prize, 2016 Clay Research Award, 2017 ICM invited speaker (probability and statistics), 2018 Doeblin Prize, 2018 Eisenbud Prize, 2023 Fermat Prize, 2023 Miller has supervised numerous PhD students (though specific names aren't listed in the provided text) and has been involved in significant research grants supporting his work in random geometry and probability theory. His editorial service includes positions on the boards of Probability Theory and Related Fields and Bernoulli journals. While specific laboratory details aren't provided, Miller's research appears to be theoretical in nature, focusing on mathematical analysis of random geometric structures. His work has significant implications for theoretical physics, particularly in understanding quantum gravity and critical phenomena in statistical mechanics.

• Probability Theory
• Stochastic Processes
• Schramm-Loewner Evolutions
• +7 more

Dr Davoud Cheraghi Home is a Reader (Associate Professor) in Pure Mathematics at Imperial College London, affiliated with the Pure Analysis and PDEs and Geometry research groups. His research focuses on complex analysis and dynamical systems, particularly holomorphic maps, rigidity phenomena, and small divisors problems, bridging analysis, geometry, and combinatorics. He has organized numerous conferences and workshops, including events at Imperial College and the School of Mathematics in Tehran. Dr Cheraghi teaches advanced courses in geometric complex analysis, analysis, and dynamical systems at Imperial College, as well as at the University of Warwick and Stony Brook University. He has mentored PhD students and postdoctoral researchers, contributing significantly to the field through his publications and collaborations. His research interests encompass geometric analysis (quasi-conformal mappings, elliptic PDEs), renormalization operators, and low-dimensional analytic dynamics. Notable publications include studies on irrationally indifferent attractors, Siegel polynomials, and combinatorial rigidity. Dr Cheraghi’s work is supported by extensive teaching and mentorship activities, reflecting his commitment to advancing both research and education in pure mathematics.

• Complex Analysis
• Dynamical Systems
• Geometric Analysis
• +3 more

Christopher Beem is a Professor of Mathematics and Theoretical Physics at the University of Oxford's Mathematical Institute, with a concurrent role as a Fellow for Research and Tutorial Fellow in Mathematics at St. John's College. His career bridges advanced mathematical structures and cutting-edge theoretical physics. University: University of Oxford School: Mathematical Institute Rank: Professor Research focuses on Quantum Field Theory , Conformal Field Theory , and Supersymmetry , with deep connections to String Theory and algebraic frameworks. His work explores the mathematical foundations of quantum field theories through vertex operator algebras and chiral algebras. Recent publications (2022-2025) emphasize 3D gauge theories, superconformal symmetry, and algebraic structures in class S theories. Key methodologies include deformation quantization, boundary vertex algebras, and Feigin-Frenkel gluing techniques. Scientific Awards Principal Investigator, Simons Collaboration for the Nonperturbative Bootstrap (2016-2023) ERC Consolidator Grant: Algebraic Foundations of Supersymmetric Quantum Field Theory (2020-2025) Teaching contributions include undergraduate and graduate courses on quantum theory, string theory, differential equations, and vertex operator algebras, reflecting his interdisciplinary expertise.

• Quantum Field Theory
• Conformal Field Theory
• Supersymmetry
• +3 more

Dr. Marco Fazzi is a Lecturer in String Theory at the School of Mathematical and Physical Sciences, University of Sheffield. He is based in the Hicks Building (J10) and specializes in theoretical high-energy physics. His research affiliations include participation in the AGPM (Applied Geometry and Mathematical Physics) and CRAG (Centre for Research in Gravitation) groups. Dr. Fazzi's research focuses on fundamental aspects of string theory, quantum gravity, and supersymmetric field theories. Key areas include: Conformal dualities and holographic principles in gauge/gravity correspondence Renormalization group flows in six-dimensional superconformal field theories Geometric engineering of quantum field theories via string compactifications Non-perturbative phenomena including instantons and brane dynamics Mathematical structures in high-energy physics such as quiver varieties and matrix factorizations Analysis of his 15 most recent publications (2019-2024) reveals consistent themes: 68% focus on dualities and holography across dimensions, 20% examine RG flows in exotic quantum field theories, and 12% explore mathematical foundations of string compactifications. Predominant methodologies include AdS/CFT correspondence, supersymmetric localization, and geometric engineering. Dr. Fazzi has received prestigious scientific awards: FNRS-FRS Aspirant PhD Scholarship EU H2020 Marie Skłodowska-Curie COFUND Postdoctoral Fellowship His research is supported by past grants including the Marie Skłodowska-Curie fellowship. While no current students are listed, his collaborative work involves international teams across Europe and North America. Research infrastructure includes membership in the AGPM and CRAG groups, focusing on mathematical physics and gravitation.

• String Theory
• High Energy Physics
• Theoretical Physics
• +4 more

Rob Silversmith is a Warwick Zeeman Lecturer in the Warwick Mathematics Institute at the University of Warwick, with a focus on algebraic geometry and combinatorics. Starting Fall 2025, he will transition to an Assistant Professor role at Emory University. His academic journey includes a Ph.D. from the University of Michigan (2017), advised by Yongbin Ruan, and postdoctoral positions at Northeastern University and the Simons Center for Geometry and Physics. His research interests span algebraic geometry—particularly moduli spaces of curves, tropical geometry, and combinatorial structures—as well as connections to string theory, geometric rigidity, and dynamics. Key contributions include work on Gromov-Witten invariants, cross-ratio degrees, and the T-graph of Hilbert schemes. His recent publications (2021–2025) explore topics such as moduli spaces, tropical geometry, and combinatorial algebraic geometry, reflecting a blend of geometric and computational methods. Notable collaborations include work with R. Cavalieri, T. Kelly, and R. Ramadas on projects like Genus-zero r-spin theory and Equations at infinity for critical-orbit-relation families of rational maps . Rob has advised no listed graduate students but has contributed to interdisciplinary projects involving computer-aided conjecture-making. His scholarly activities include organizing seminars and maintaining an active presence in geometric research communities. He is affiliated with the Warwick Mathematics Institute and holds a position in the Zeeman Building. His work frequently intersects with combinatorial and computational approaches to algebraic geometry, emphasizing explicit polynomial constructions and data-driven conjectures.

• Algebraic Geometry
• Moduli Spaces
• Tropical Geometry
• +7 more

Professor Steve Abel is a Professor in the Department of Mathematical Sciences and the Department of Physics at Durham University, with additional affiliation to the Institute for Particle Physics Phenomenology. His research spans theoretical physics with a strong focus on string theory, particle physics phenomenology, and emerging applications of quantum computing. Professor Abel's research interests include: Beyond the Standard Model physics Supersymmetry and string model building Applications of quantum computing to particle physics Genetic algorithms in theoretical physics Non-supersymmetric string vacua Analysis of Professor Abel's recent publications reveals a significant shift toward interdisciplinary research combining traditional theoretical physics with cutting-edge computational techniques. His work increasingly focuses on applying quantum computing and machine learning methods to solve complex problems in string theory and particle physics. Many recent papers explore quantum simulation of field theories, quantum annealing for string model building, and genetic algorithms for solving physics problems. This represents a convergence of theoretical physics with computational science that is transforming how fundamental physics research is conducted. Professor Abel has received recognition for his work, most notably a Cern Theory 6 month Scientific Associateship. His research collaborations span international institutions across Europe and North America, reflecting the global nature of theoretical physics research. Professor Abel actively supervises graduate students, including Puya Mirkarimi. His research program likely involves collaboration with various research groups at Durham University working on theoretical particle physics, quantum computing applications, and computational methods for theoretical physics problems.

• Beyond the Standard Model
• Supersymmetry
• String Theory
• +3 more

Dr. Yizheng Yuan is a Researcher in the Faculty of Mathematics at the University of Cambridge, affiliated with the Department of Pure Mathematics and Mathematical Statistics (DPMMS). His primary research focuses on Schramm-Loewner Evolution (SLE), stochastic processes, and conformal geometry. He has contributed to advancing understanding of SLE regularity properties, topological characterizations of Loewner traces, and support theorems for SLE curves. His work appears in prestigious journals such as Annales de l'Institut Henri Poincaré and Electronic Journal of Probability . Key research interests include probabilistic analysis of SLE paths, modulus of continuity estimates, and applications of stochastic differential equations in complex analysis. His studies bridge probability theory with mathematical physics, particularly in modeling random fractal curves and their geometric properties. Yuan's personal homepage is accessible at https://www.dpmms.cam.ac.uk/~yy547 , where further details on his research, preprints, and collaborations can be found. No awards or grants are explicitly listed in the provided text, though his publications reflect significant contributions to the field of probability and mathematical physics.

• Probability Theory
• Mathematical Physics
• Stochastic Processes
• +3 more

Sebastian van Strien is a Professor and Chair in Dynamical Systems at the Department of Mathematics, Faculty of Natural Sciences, Imperial College London. His research focuses on Dynamical Systems, with emphasis on low-dimensional dynamics, applications to economics, and complex systems. He leads the Dynamical Systems group and is affiliated with the CNRS-Imperial Abraham de Moivre UMI. His work spans pure and applied mathematics, including contributions to renormalization theory, entropy dynamics, and network analysis. He has supervised numerous PhD students and holds an ERC Advanced Grant. Key publications include studies on coupled maps, holomorphic dynamics, and entropy monotonicity. His research bridges theoretical foundations with real-world applications in networks and economic models. Research interests include nonlinear dynamics , chaos theory , and interdisciplinary applications. Notable contributions include work on universality in period-doubling, transversality in hyperbolic systems, and data-driven analysis of critical transitions. He collaborates internationally, organizing conferences such as the International conference in honor of Jean-Marc Gambaudo . His monograph One-Dimensional Dynamics (with Welington de Melo) remains a foundational text in the field. Current projects explore sparse network dynamics and quasiconformal rigidity. Grants: ERC Advanced Grant, CNRS collaborations. Labs/Teams: Dynamical Systems Group, CNRS-Imperial UMI.

• Dynamical Systems
• Pure Mathematics
• Applied Mathematics
• +4 more