جستجوی استاد راهنمای دانشگاهی

Jack Thorne is a Professor of Number Theory in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge, within the Faculty of Mathematics. His office is located in room E1.18 at the department, and he can be contacted at thorne@dpmms.cam.ac.uk or by telephone at 01223 764283. Professor Thorne's primary research interests lie in Number Theory and Arithmetic Geometry , with significant contributions to the understanding of automorphic forms, Galois representations, and the Langlands program. His work spans theoretical developments in modularity, symmetric power functoriality, and the study of Selmer groups, demonstrating deep connections between algebraic geometry and number-theoretic phenomena. Analysis of Professor Thorne's recent publications reveals a consistent focus on advanced topics in modern number theory. His research demonstrates particular expertise in automorphy lifting theorems, potential automorphy over various fields, and the intricate relationships between Galois representations and automorphic forms. The publications show a progression toward increasingly sophisticated applications of the Langlands program to concrete arithmetic problems, with notable work on symmetric powers, level-raising phenomena, and the arithmetic of elliptic curves. Professor Thorne maintains an active research profile with numerous high-impact publications in leading mathematical journals including Annals of Mathematics, Publications mathématiques de l'IHÉS, and Journal of the American Mathematical Society. His collaborative work with prominent mathematicians such as Patrick Allen, Chandrashekhar Khare, and James Newton highlights his position within the international number theory community.

• Number Theory
• Arithmetic Geometry
• Automorphic Forms
• +۳ مورد دیگر

Professor Imre Leader is a distinguished mathematician at the University of Cambridge, where he serves as Professor of Pure Mathematics in the Department of Pure Mathematics and Mathematical Statistics (DPMMS), which is part of the Faculty of Mathematics. His office is located in room C2.02 at the DPMMS building. Professor Leader's research primarily focuses on Extremal Combinatorics and Ramsey Theory , two fundamental areas of discrete mathematics. His work explores deep connections between combinatorial structures, set theory, and algebraic properties. He has made significant contributions to understanding partition regularity, monochromatic structures, extremal set theory, and combinatorial geometry. His research often bridges the gap between pure combinatorics and applications in computer science and theoretical mathematics. Over his prolific career, Professor Leader has published numerous influential papers in top mathematical journals, collaborating with leading mathematicians worldwide. His work spans various aspects of combinatorics including hypergraph theory, geometric combinatorics, additive number theory, and combinatorial game theory. He has been particularly active in advancing our understanding of Ramsey-type phenomena in infinite structures and developing new techniques in extremal combinatorics. Research Group: Combinatorics Email: I.Leader@dpmms.cam.ac.uk Telephone: 01223 765902 Personal homepage: https://www.dpmms.cam.ac.uk/~ibl10

• Extremal Combinatorics
• Ramsey Theory
• Combinatorial Number Theory
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Brett Kolesnik is a Research Fellow in the Department of Statistics at the University of Warwick. His research focuses on probability theory, random structures, bootstrap percolation, and interactions with combinatorics. He has held postdoctoral fellowships at UC Berkeley, San Diego, and the University of Oxford, and was a Senior Demy at Magdalen College. His work includes organizing workshops on bootstrap percolation and collaborating with leading researchers in probability and combinatorics. Education: PhD in Mathematics from the University of British Columbia (advised by Omer Angel). Notable awards include the NSERC Postdoctoral Fellowship and the Florence Nightingale Bicentennial Fellowship in Statistics. Research interests span bootstrap percolation models, random graph dynamics, and stochastic processes. Recent work includes studies on Brownian map geometry, tournament score sequences, and Coxeter group structures. Selected articles explore topics such as critical beta-splitting processes, Catalan percolation, and random walks on algebraic structures. His publications appear in top journals like Electronic Journal of Probability and Annals of Applied Probability . Awards include the Florence Nightingale Fellowship and NSERC Postdoctoral Fellowship. Professional involvement includes organizing the 2024 BIRS workshop on Bootstrap Percolation and contributing to interdisciplinary collaborations in probability and combinatorics.

• Probability Theory
• Random Structures
• Bootstrap Percolation
• +۴ مورد دیگر

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
• +۵ مورد دیگر

Dr Cosette Crisan is an Associate Professor (Teaching) in Mathematics Education at University College London’s IOE, ranked World Number 1 in Education. She specializes in curriculum design, subject-specific mentoring, and integrating digital technologies into mathematics education. Prior to joining UCL IOE in 2010, she taught mathematics at secondary and university levels for 16 years. Her research focuses on enhancing mathematics teaching practices through collaborative mentorship frameworks and technology integration. She co-leads the Curriculum and Subject Specialism Research Group and the ROPE group, driving pedagogical innovation. Notable achievements include the 2021 UCL Faculty Education Team Award for pandemic-era teaching support and leadership roles such as Academic Head of Learning and Teaching (2020–2023). She holds a PhD in Mathematics Education from London South Bank University and is a Principal Fellow of the Higher Education Academy. Current initiatives include developing a Mathematics and Secondary Mathematics Education BSc (QTS) Teacher Degree Apprenticeship program. Her research emphasizes revitalizing geometry education and preparing mentors to effectively guide novice teachers. Publications span topics like computer-aided assessment (STACK), pandemic-era teaching adaptations, and cross-cultural mentorship studies. Dr Crisan’s work bridges theory and practice, advocating for mathematics education as a design science. She actively contributes to the London Mathematical Society’s Education Committee, promoting public engagement with mathematics. Awards include the UCL Faculty Education Team Award (2021) and recognition for her role in transitioning teaching to online platforms during the pandemic. Her teaching portfolio includes leadership of the MA Mathematics Education program and supervision of doctoral candidates. Recent interests include exploring intersections between mathematics and cognitive neuroscience, inspired by her daughter’s career path.

• Mathematics Education
• Curriculum Development
• Teacher Education
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Jon Keating is a Professor at the University of Oxford affiliated with the Mathematical Institute . His research spans Mathematical Physics , Number Theory , and Stochastic Analysis , with a focus on Random Matrix Theory and its applications to quantum systems and number theory. Research Trends: His recent work explores connections between random matrices and number-theoretic functions, with contributions to understanding moments of L-functions, characteristic polynomials, and quantum chaos. Key themes include asymptotic analysis, recursive structures, and interdisciplinary applications in nonlinear systems. Publications: Highlights include studies on CUE characteristic polynomials, the Ratios Conjecture, and collaborations in Nonlinearity , International Mathematics Research Notices , and Transactions of the American Mathematical Society .

• Mathematical Physics
• Number Theory
• Stochastic Analysis
• +۱ مورد دیگر

Professor Martin Liebeck is a Professor of Pure Mathematics and Head of the Pure Mathematics Section at the Department of Mathematics, Imperial College London. He is affiliated with the Algebra and Algebraic Combinatorics research groups and is part of the Mathematics research and teaching staff within the Faculty of Natural Sciences. His research interests span Pure Mathematics, with a focus on group theory, algebraic combinatorics, Lie groups, and representation theory. His work often involves the structure and properties of finite simple groups, algebraic groups, and their applications to permutation groups and character theory. Recent publications explore topics such as the actions of simple groups, unipotent classes in algebraic groups, character ratios, and the classification of permutation groups. His work frequently intersects with combinatorial and algebraic structures, with implications for both theoretical and applied mathematics. Professor Liebeck’s contributions include foundational studies on group generation, covering numbers, and character bounds, reflecting his deep engagement with the interplay between algebraic structures and combinatorial problems. His research has been published in leading mathematics journals, and he maintains an active academic profile through his personal webpage at http://www.ma.ic.ac.uk/~mwl/ .

• Pure Mathematics
• Group Theory
• Algebraic Combinatorics
• +۴ مورد دیگر

Dr. Sugata Mondal is a Lecturer in Pure Mathematics at the University of Reading's Department of Mathematics and Statistics, part of the School of Mathematical, Physical and Computational Sciences. He serves as the School Director of Postgraduate Research Studies. His research focuses on spectral geometry, analysis of partial differential equations (PDEs), geometric analysis, and hyperbolic geometry. He obtained his PhD from Université Paul Sabatier in Toulouse, followed by postdoctoral positions at the Max-Planck Institute in Bonn and Indiana University. Previously, he held a Reader position at TIFR, Mumbai until 2022. His academic qualifications include a BSc (Honors) in Mathematics from Ramakrishna Mission Vidyamandira (University of Calcutta) and an M.Math from ISI, Kolkata. His research explores geometric properties of Laplace eigenfunctions on domains and manifolds, with recent work addressing spectral instability, Schiffer's conjecture, and critical points on polygons. His publications span topics in spectral geometry, hyperbolic surfaces, and eigenvalue analysis. Dr. Mondal’s work bridges pure mathematics with geometric analysis, emphasizing the interplay between spectral theory and geometric structures. He teaches Real Analysis I (MA1RA1) and contributes to the Pure Mathematics and Analysis research groups at Reading.

• Spectral Geometry
• Analysis of PDE
• Geometric Analysis
• +۳ مورد دیگر

Ana Caraiani is a Royal Society University Research Fellow and Professor in the Department of Mathematics at Imperial College London, specializing in Number Theory and Arithmetic Geometry. She is a member of the Number Theory group, focusing on the Langlands program, Shimura varieties, and p-adic Galois representations. Her work bridges arithmetic geometry and representation theory, with contributions to modularity lifting theorems, cohomology of Shimura varieties, and local-global compatibility in the Langlands program. Education: She earned a Ph.D. in Mathematics from Harvard University in 2012. She held positions as a Veblen Research Instructor (2013–2015) and Veblen Fellow (2015–2016) at the Institute for Advanced Study's School of Mathematics. Research Interests: Her research emphasizes the classical and p-adic Langlands programs, Shimura varieties, arithmetic geometry, and moduli stacks of Galois representations. Specific topics include vanishing theorems for cohomology, modularity of elliptic curves over CM fields, and applications of perfectoid spaces. Key Contributions: Caraiani has advanced the proof of modularity of elliptic curves over imaginary quadratic fields, established vanishing theorems for Shimura varieties with torsion coefficients, and contributed to the potential automorphy of Galois representations over CM fields. Her work links geometric approaches to arithmetic conjectures, such as the Sato-Tate and Ramanujan conjectures. Awards and Recognition: Royal Society University Research Fellowship (202?), Veblen Research Instructor/Fellowships (2013–2016), and contributions to major collaborative projects like the Potential Automorphy over CM Fields paper in the Annals of Mathematics.

• Number Theory
• Arithmetic Geometry
• Langlands Program
• +۳ مورد دیگر

Vadim Lozin is a Professor of Mathematics at the University of Warwick, affiliated with the Department of Mathematics within the School of Mathematics. His research interests span graph theory, combinatorics, and discrete mathematics, focusing on areas such as clique-width, Ramsey numbers, and structural graph theory. He has held visiting positions at institutions including the Université Paris-Dauphine, EPFL, and KAUST. Lozin has received several accolades, including the Best Paper Award for 'Linear Ramsey numbers' in 2018 and a 2024 award at the International Symposium on Algorithms and Computation. His work involves collaborations with global researchers and contributions to conferences like IWOCA and WG. Lozin serves on editorial boards for journals such as Discrete Applied Mathematics and Electronic Notes in Discrete Mathematics . His research explores foundational problems in graph theory, with applications in algorithm design and complexity analysis. Lozin’s publications include studies on union-closed sets, functional graph properties, and algorithmic approaches to graph parameters. He has also contributed to books like Words and Graphs , bridging formal language theory with graph structures. His grants focus on clique-width and stability in graphs, reflecting his commitment to advancing theoretical and applied discrete mathematics.

• Graph theory
• Combinatorics
• Discrete Mathematics
• +۴ مورد دیگر

Alexei Kovalev is an Associate Professor in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge . His research focuses on differential geometry and global analysis , with a particular emphasis on special holonomy manifolds, geometric analysis, and connections to mathematical physics. Publications Highlights : Major contributions to G2-holonomy manifolds, coassociative submanifolds, and Yang-Mills instanton reductions to Nahm’s equations. Research Group : Differential Geometry & Topology, University of Cambridge. Kovalev's work explores the intersection of differential geometry and topology, including asymptotically cylindrical manifolds, Calabi-Yau deformations, and K3 surface involutions. His publications demonstrate deep connections between geometric structures and physical theories like Yang-Mills. Notable collaborations include JD Lotay, J Nordstrom, and M Singer. He maintains an active research program, with recent work (2019) on calibrated submanifold deformations and compact G2-holonomy constructions. Earlier works (2000–2007) established foundational results in anti-self-dual metrics, Nahm’s equations, and twisted connected sums.

• differential geometry
• global analysis
• mathematical physics
• +۱ مورد دیگر

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
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Prof Lars Olsen is a Professor in the School of Mathematics and Statistics at the University of St Andrews, based in the Mathematical Institute. His research focuses on fractal geometry, dynamical systems, and analysis, with particular emphasis on multifractal theory and metric number theory. He has supervised PhD student Luke Derry and has published extensively in peer-reviewed journals such as Monatshefte für Mathematik , Mathematische Zeitschrift , and Acta Mathematica Hungarica . His work explores intricate mathematical structures such as fractal dimensions, measure-theoretic properties of metric spaces, and applications to number theory. Recent studies include analyses of digit frequencies in infinite iterated function systems, exponential densities of integer subsets, and average distances in self-similar fractals. These contributions bridge pure mathematics with applications in understanding complex natural phenomena through geometric and analytic frameworks. Prof Olsen’s research portfolio demonstrates a strong focus on advanced mathematical analysis, with over 30 peer-reviewed publications since 2017 alone. His investigations into Hewitt-Stromberg measures and Gromov-Hausdorff-Prohoroff spaces exemplify his commitment to advancing foundational theories in fractal geometry and measure theory. Collaboration with international researchers has yielded multidisciplinary insights into topics like Lq-dimension analysis and topological dynamics of continuous functions.

• Fractal geometry
• Dynamical systems
• Analysis
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Tom Leinster is a mathematician at the University of Edinburgh, specializing in category theory, metric geometry, and their applications to areas such as algebra, topology, and mathematical biology. His research focuses on the concept of magnitude, a measure for metric spaces and enriched categories, as well as entropy and diversity. He has authored influential books including *Basic Category Theory* and *Entropy and Diversity: The Axiomatic Approach*. Leinster's work bridges foundational mathematics with interdisciplinary applications, emphasizing the interplay between abstract structures and concrete problems. His research interests span category theory, metric geometry, algebraic topology, and mathematical biology. Key contributions include foundational work on magnitude and its connections to geometric measure theory, entropy characterization, and categorical frameworks for diversity measurement. Leinster also engages in mathematical education and ethics, advocating for responsible research practices. Notable publications include recent advancements in magnitude homology of Euclidean sets, extremal magnitude in metric spaces, and entropy modulo primes. His work often highlights interdisciplinary applications, such as biodiversity quantification and information-theoretic foundations.

• Category Theory
• Metric Geometry
• Algebra
• +۳ مورد دیگر

Xiaocheng Shang is an Associate Professor in Mathematical Optimisation and Data Science at the University of Birmingham's School of Mathematics. His research focuses on numerical methods for stochastic differential equations, with applications in computational mathematics, statistics, physics, and data science. He is affiliated with the Optimisation and Numerical Analysis Group, Statistics and Data Science Group, and the Institute for Data and AI. Shang holds a PhD in Applied and Computational Mathematics from the University of Edinburgh (2016) and completed postdocs at the University of Edinburgh, Brown University, and ETH Zurich before joining Birmingham in 2019. His academic achievements include fellowships from The Alan Turing Institute, the LMS Emmy Noether Fellowship, and the EUniWell Leadership Fellowship. He has secured funding from EPSRC, the Royal Society, and the Isaac Newton Institute. Shang is actively involved in supervising PhD students and co-organizing research initiatives such as the Data Science and Computational Statistics Seminar. Research interests include structure-preserving integrators, Bayesian sampling techniques, and machine learning applications in dynamical systems. His work bridges numerical analysis, probability theory, and multiscale modeling in materials science. Recent projects involve neural networks for complex dynamical systems and numerical algorithms for deterministic/stochastic systems.

• Mathematical Optimization
• Data Science
• Numerical Analysis
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