Find Academic Supervisors

Ben Green is the Waynflete Professor of Pure Mathematics at the University of Oxford and a Fellow of Magdalen College. His work spans additive combinatorics, analytic number theory, harmonic analysis, ergodic theory, discrete geometry, and group theory, with a focus on interdisciplinary approaches. Research Interests: Additive combinatorics and its applications to primes Analytic number theory (prime distribution, L-functions) Harmonic analysis (Fourier methods, spectral theory) Ergodic theory and its combinatorial applications Discrete geometry (ordinary lines, convex structures) Group theory (approximate groups, expansion) Article Trends: His recent work emphasizes multiplicative functions, Ramsey-type problems in number theory, expansion in finite groups, and extremal set theory. Themes include prime gaps, arithmetic progressions, and interactions between analysis and algebra. Scientific Awards: Clay Research Award (2004) Ostrowski Prize (2005) Whitehead Prize (2005) Leverhulme Prize (2007) European Mathematical Society Prize (2008) Royal Society Fellow (2010) Sylvester Medal (2014) Senior Whitehead Prize (2019) Advising: Ben has supervised numerous D.Phil students across additive combinatorics, analytic number theory, and related fields. Past students hold postdoctoral and academic positions globally.

• Additive Combinatorics
• Analytic Number Theory
• Harmonic Analysis
• +3 more

Professor Victor Beresnevich of the University of York, Department of Pure Mathematics, is a leading researcher in Metric Number Theory and Diophantine Approximation . He leads the Number Theory Research Group and collaborates on problems involving algebraic numbers , manifold approximation , and ergodic theory . PhD and DSc from Minsk EPSRC-funded projects on Duffin-Schaeffer conjecture and rational points near manifolds Organiser of conferences on Diophantine approximation, dynamical systems, and quantum chaos His work connects Diophantine approximation with dynamical systems , fractal geometry , and p-adic analysis . Recent projects focus on inhomogeneous approximation and shrink targets problems . He supervises PhD students and mentors collaborations in analytic number theory and measure theory . Scientific Awards : Advanced Research Fellow Current PhD Student : Dorsa Vakilzadeh Hatefi

• Metric Number Theory
• Diophantine Approximation
• Geometry of Numbers
• +7 more

Jonathan Pila is a Reader in Mathematical Logic at the University of Oxford's Mathematical Institute, with a focus on model theory and number theory. He is affiliated with the Mathematical Logic and Number Theory research groups. BScHons (University of Melbourne, 1984) PhD (Stanford University, 1988) His research explores intersections of mathematical logic with number theory, particularly via o-minimality, addressing problems like the Andre-Oort conjecture, Zilber-Pink conjecture, and Ax-Schanuel theorems in algebraic and Diophantine geometry. Recent work includes advancements on functional transcendence, canonical heights in Shimura varieties, and uniform parameterization techniques with applications to Diophantine problems. Leverhulme Trust Research Fellowship (2008-2010) Clay Research Award (2011) LMS Senior Whitehead Prize (2011) ASL Karp Prize (2013) Elected FRS (2015) Rolf Schock Prize (2022) Frontiers of Science Award (2023)

• Mathematical Logic
• Number Theory
• Model Theory
• +4 more

Professor Igor Wigman is a Professor of Number Theory at King's College London, affiliated with the Department of Mathematics within the Faculty of Natural, Mathematical & Engineering Sciences. He completed his PhD in Number Theory at Tel-Aviv University under Zeev Rudnick, followed by postdoctoral roles at CRM Montreal and KTH Stockholm. He joined King's in 2012 as a Lecturer, becoming a Reader in 2014 and Professor in 2018. His research focuses on analytic number theory, probability, and mathematical physics, with emphasis on nodal lines, random fields, and quantum chaos. Notable contributions include studies on the Gauss circle problem, eigenvalue clusters, and nodal volume distributions of random functions. Wigman co-organized the 2016 'Random Waves in London' workshop and delivered an inaugural lecture in 2023 on the interplay of number theory, random functions, and music geometry. His work bridges pure mathematics with applications in spectral geometry and stochastic processes.

• Analytic Number Theory
• Probability and Stochastic Processes
• Mathematical Physics
• +4 more

Dr. Bence Borda is an Assistant Professor in Mathematics at the University of Sussex, affiliated with the School of Mathematical and Physical Sciences. He holds a PhD from Rutgers University (2016), advised by József Beck, and has held postdoctoral positions at the Alfréd Rényi Institute of Mathematics (2017–2019) and Graz University of Technology (2019–2024), supported by a Lise Meitner Fellowship (FWF) from 2022–2024. PhD: Mathematics, Rutgers University (2016) His research lies at the intersection of probabilistic number theory , Diophantine approximation , random walks on groups , and harmonic analysis , with a focus on equidistribution theory and discrepancy measures. Recent publications explore limit laws for cotangent sums, quantum modular forms, and stochastic behavior in number-theoretic sequences. Key trends in his work include the use of Wasserstein metrics for quantifying equidistribution, random matrix eigenvalues in compact groups, and determinantal point processes on geometric manifolds. His contributions span both theoretical analysis and computational applications. Scientific Awards Lise Meitner Fellowship (FWF), 2022–2024 He has supervised teaching at institutions including Rutgers University and Budapest Semesters in Mathematics, covering calculus, analysis, and graduate-level courses. He co-organized the 2025 Analysis and Optimal Transport Workshop at Sussex and actively participates in international conferences.

• Probability Theory
• Number Theory
• Harmonic Analysis
• +3 more

Donald Robertson is a Lecturer in Pure Mathematics at the University of Manchester, specializing in ergodic theory with applications to additive combinatorics. His work connects measurable dynamics with combinatorial number theory problems. Research explores ergodic properties of interval exchange transformations, sumset configurations in infinite sets, and equidistribution in homogeneous dynamics. Recent publications address Erdős' sumset conjecture (2022), saddle connection distributions (2023), and disjointness in measurable group actions. He teaches measure theory and ergodic theory courses, employing problem-based learning through weekly take-home tests. Coursework emphasizes Lebesgue integration, ergodic theorems, and connections between dynamics and combinatorics.

• Ergodic Theory
• Additive Combinatorics
• Interval Exchange Transformations
• +1 more

Mark Pollicott is a Professor of Mathematics at the University of Warwick, where he has held positions since 1992 and 2005. He previously served at Edinburgh, Porto, and Manchester Universities, including a Fielden Chair. His research focuses on Thermodynamic Formalism, Ergodic Theory, and Dynamical Systems, with applications to geometry, number theory, and fractal analysis. Pollicott earned his BSc (1981) and PhD (1984) in Mathematics and Physics from Warwick, under the supervision of William Parry. He has held prestigious fellowships, including Royal Society and ERC grants, and organized major programs at the Newton Institute, CIB-Lausanne, and ICERM. He serves on editorial boards for journals like Nonlinearity and Journal of Fractal Geometry . His research explores topics such as fractal dimensions, geodesic flows, and validated numerics. Notable contributions include studies on the Hausdorff dimension of Cantor sets and Bernoulli convolutions. He has supervised 19 PhD students and mentored 18 postdoctoral researchers. Recent grants include EPSRC funding for computational ergodic theory and dynamical zeta functions. His work bridges pure mathematics with applications in geometry, analysis, and number theory. Awards: ERC Advanced Grant, EPSRC Leadership Fellowship, Royal Society Fellowships, Jean Morlet Chair Grants: EPSRC (2019-2025, 2026-2030), ERC (2019-2025) Collaborations: Co-organized programs on Thermodynamic Formalism and Dynamics at CIRM and Warwick

• Thermodynamic Formalism
• Ergodic Theory
• Dynamical Systems
• +4 more

Dr. Helena Verrill is an Assistant Professor at the Department of Mathematics, University of Warwick, focusing on teaching and outreach. Her research interests span Number Theory, Algebraic Geometry, Combinatorial Game Theory, and the Mathematics of Origami, with applications in generative art. She actively mentors students through third-year essays, research projects, and outreach initiatives like the Royal Institute Masterclasses. Her research explores modular forms, computational algebra, and arithmetic geometry, with notable contributions to ℓ-adic representations and noncongruence cuspforms. She bridges pure mathematics with artistic expression through origami tessellations and fractal patterns. Notable works include studies on Fano plane automorphisms and Harter-Heighway dragon curves. Her publications span journals like the *Proceedings of the American Mathematical Society* and *Journal of Number Theory*, alongside creative outputs in *Generative Art* and *Bridges Conferences*. She maintains a personal homepage with resources for mathematical art and education.

• Number Theory
• Algebraic Geometry
• Modular Forms
• +5 more

Standa Živný is a Professor of Computer Science at the University of Oxford and a Fellow and Tutor at Merton College. He has been a faculty member at Oxford since 2013 and was promoted to full professor in 2021. His research spans theoretical computer science and discrete mathematics, with a focus on algorithms, computational complexity, and constraint satisfaction problems (CSPs) in various forms, including optimisation, counting, and approximation. His research interests include the power and limitations of convex relaxations, sparsification, submodularity, and the algebraic and logical foundations of tractability in combinatorial problems. He has made significant contributions to understanding when and why certain problems can or cannot be efficiently solved using linear programming and other algorithmic paradigms. The recent trends in his publications show a deep engagement with approximation algorithms, hardness results, sparsification techniques, and the complexity of counting and promise problems. His work often lies at the intersection of algebra, logic, and optimisation, demonstrating the power of interdisciplinary approaches in theoretical computer science. ERC Consolidator Grant (NAASP, 2022–2027) ERC Starting Grant (PowAlgDO, 2017–2022) Royal Society University Research Fellowship (2013–2021) He actively supervises a large cohort of postdoctoral researchers and students, including PhD candidates, master’s, and undergraduate students. His leadership extends to academic service, where he serves as Editor-in-Chief of the SIAM Journal on Discrete Mathematics and holds editorial and committee positions in major journals and funding bodies. He has organised numerous workshops and research programmes at institutions such as Dagstuhl, the Isaac Newton Institute, and AIM. He is involved in major research initiatives, including a Simons Programme on symmetry in computation and an American Institute of Mathematics SQuARE on relaxations for promise CSPs.

• Theoretical Computer Science
• Discrete Mathematics
• Algorithms
• +10 more

Tim Austin is Regius Professor of Mathematics at the University of Warwick. His research spans ergodic theory, probability, functional analysis, and high-dimensional geometry. He has supervised PhD students at UCLA and Warwick, and his publications address topics from metric geometry to number theory. Key research areas: Ergodic theory and multiple recurrence High-dimensional probability and concentration inequalities Geometric aspects of functional analysis Analytic number theory and zeta function approximations Notable works include contributions to the Ribe programme on metric embeddings and rational approximations to the Riemann zeta function. He teaches measure theory and combinatorics.

• Ergodic Theory
• Probability
• Functional Analysis
• +1 more

Dr. Eli Hawkins is a Senior Lecturer in the Department of Mathematics at the University of York. His work bridges geometry and noncommutative algebras, with a focus on quantization, noncommutative geometry, and quantum gravity. Education: PhD in Physics and Mathematics from Penn State University Research Interests: His research integrates advanced mathematical frameworks like C*-algebras, Poisson geometry, and Lie groupoids to explore quantization and quantum gravity, with applications in quantum field theory and differential geometry. Recent Publications: His recent work includes studies on Hochschild cohomology, deformation quantization, and noncommutative regularization, reflecting his expertise in algebraic and geometric methods.

• Noncommutative Geometry
• Mathematical Physics
• Quantum Gravity
• +4 more

Netan Dogra is a Lecturer in Number Theory at King's College London's Department of Mathematics, supported by a Royal Society University Research Fellowship . He holds a PhD from Oxford University (2015) and has held postdoctoral positions at Radboud University Nijmegen, Imperial College London, and Jesus College, Oxford. His research focuses on arithmetic geometry , particularly applications of fundamental groups to Diophantine geometry. Key areas include rational points on hyperbolic varieties, Galois representations, modular curves, and p-adic differential equations. He supervises four PhD students and serves on the editorial board of Royal Society Open Science . Research Grants: Enhanced Research Expenses 2023 (Royal Society, 2023-2026) Diophantine geometry, fundamental groups and modular forms (Royal Society, 2020-2026) New directions in p-adic integration and motivic fundamental groups (Royal Society, 2026-2029) Labs/Teams: Active in King's College London's number theory group, contributing to computational tools like SageMath code for p-adic integration.

• Number Theory
• Arithmetic Geometry
• Diophantine Geometry
• +4 more

Brent Everitt is a Professor in the Department of Mathematics at the University of York, where he has been since 1999. He holds a Readership position and has previously held roles such as Senior Lecturer. His academic journey includes undergraduate studies at the University of Auckland, followed by postgraduate degrees at the University of Toronto and the University of Auckland. Before joining York, he held positions at the Universities of Aberdeen, Warwick, and Durham. Everitt’s research focuses on algebra, topology, and combinatorics, with a particular emphasis on homological methods in algebra, partial symmetry through reflection monoids, representation theory of groups and monoids, and geometric manifolds. Collaborators include Paul Turner, John Fountain, and James East. His work on hyperplane arrangements, matroids, and Coxeter groups has led to significant contributions in algebraic topology and geometric group theory. He has supervised eight PhD students, including Majed Albaity and Jim Woodward. His research projects include exploring sheaf homology, minimal hyperbolic manifold volumes, and the interplay between combinatorial structures and algebraic frameworks. He has been involved in grants such as the Heilbronn small grant scheme on diagrammatic intuition and deep learning in mathematics. Everitt is actively engaged in academic outreach, delivering invited talks globally on topics like reflection monoids, Khovanov homology, and hyperbolic manifolds. His teaching contributions include courses on Galois theory and algebraic topology, reflecting his dedication to both research and education.

• Algebra
• Topology
• Combinatorics
• +3 more

Rainer Dietmann serves as Professor in the Department of Mathematics at Royal Holloway, University of London, specializing in Number Theory and its intersections with algebraic geometry and arithmetic. His institutional affiliation places him within the university's mathematical sciences division where he maintains active research and teaching responsibilities. His research program centers on deep problems in Number Theory, particularly focusing on Arithmetic Geometry, Diophantine Approximation, Galois Theory, and Quadratic Forms. Dietmann investigates structural properties of polynomial equations, discriminants of number fields, and geometric configurations of rational points on algebraic varieties. His work combines analytic, algebraic, and combinatorial approaches to address fundamental questions about polynomial behavior and Diophantine structures. Analysis of his recent publications reveals consistent engagement with high-impact problems in arithmetic geometry, including van der Waerden's conjecture, discriminant distributions, and rational curves on hypersurfaces. His research demonstrates increasing international collaboration, particularly with leading number theorists across Europe and Asia, while maintaining methodological rigor in both theoretical proofs and computational aspects of number theory. Professor Dietmann has supervised 3 research students and secured significant funding through two major projects: an EPSRC grant for "Forms in many variables" (2011-2012) and a Royal Society grant supporting the "Joint meeting of the Korean and American Mathematical Society" (2009-2010). These projects reflect his leadership in advancing collaborative research in number theory and polynomial arithmetic.

• Number Theory
• Arithmetic Geometry
• Diophantine Approximation
• +3 more

Professor Oliver M Jenkinson is a faculty member at the School of Mathematical Sciences, Queen Mary University of London. He holds the academic rank of Professor of Mathematics and is affiliated with the Centre for Complex Systems. His research focuses on ergodic theory, dynamical systems, and related areas such as fractal geometry and statistical mechanics. Jenkinson has contributed to topics like Lyapunov exponents, invariant measures, and Hausdorff dimension estimation. His work spans theoretical and computational aspects of dynamical systems, including studies of transfer operators, spectral radii, and entropy optimization. Notable contributions include rigorous bounds on fractal dimensions, analysis of continued fractions, and investigations into ergodic optimization problems. He collaborates with institutions globally and maintains an active research profile with over 40 publications since 2001. Research trends in his articles emphasize interdisciplinary applications of ergodic theory, with recurring themes in mathematical physics and nonlinear dynamics. His papers often bridge pure mathematics with computational methods, addressing questions in chaos theory, measure theory, and operator spectra. Jenkinson’s work is supported by grants and collaborations, though specific funding details are not listed. He is associated with the Centre for Complex Systems, reflecting his focus on complex, multi-component systems in mathematics. No formal awards are mentioned in the provided texts, though his prolific publication record indicates significant scholarly impact.

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