جستجوی استاد راهنمای دانشگاهی

James Maynard is a Professor of Number Theory at the University of Oxford , holding a Title IV Professorship equivalent to a UK chair or US full professor. He has held prestigious positions including Membership at the Institute for Advanced Study (Princeton, 2017), Research Membership at MSRI (Berkeley, 2017), and a Clay Research Fellowship (2015-2018). His research focuses on analytic number theory , particularly prime numbers and sieve methods , with groundbreaking work on prime gaps and Diophantine approximation. EDUCATION DPhil in Mathematics (2009-2013), Balliol College, Oxford Part III Mathematics (2008-2009), Queens’ College, Cambridge BA Mathematics (2005-2008), Queens’ College, Cambridge Maynard’s research explores the structure of prime numbers, including prime distribution , digital properties of primes , and norm form representations . His work has revolutionized understanding of bounded prime gaps and extremal prime spacing using advanced sieve techniques and probabilistic methods. Maynard’s publications (15 most recent) span analytic number theory , prime distribution , and Diophantine approximation . Key subfields include Bounded Gaps Between Primes , Digital Restrictions in Primes , Probabilistic Methods in Number Theory , and Algorithmic Sieve Optimization . Scientific Awards Fields Medal (2022) Cole Prize in Number Theory (2020) ERC Starting Grant (€1.5m, 2020-2025) Compositio Prize (2019) Wolfson Merit Award (2017) EMS Prize (2016) Erdős $10,000 Problem Prize (2016) Clay Research Fellowship (2015-2018) Whitehead Prize (2015) Ramanujan Prize (2014) Maynard has advised no explicitly named students but collaborates extensively in number theory. His grants include the ERC Starting Grant (2020-2025) and Wolfson Merit Award (2018-2023) . He has contributed to collaborative projects like the Polymath group and served as a Summer Consultant at GCHQ/Heilbronn Institute (2008-2012).

• Analytic Number Theory
• Prime Numbers
• Sieve Methods
• +۱ مورد دیگر

Tim Browning is a Professor of Number Theory at the Institute of Science and Technology Austria (IST Austria). He leads the Browning Group, focusing on analytic number theory and its interfaces with algebraic geometry. His research addresses Diophantine equations, rational points on algebraic varieties, and the distribution of arithmetic objects. He organizes the Algebraic Geometry & Number Theory Seminar and the Women in Math Day. Previously, he held roles at the University of Bristol and University of Oxford. He has authored over 100 publications and received accolades including the Ferran Sunyer i Balaguer Prize and an ERC Starting Grant. His group includes PhD students and postdocs working on topics like rational points, sieve methods, and arithmetic statistics. Education: PhD in Mathematics, University of Oxford (2002) Postdoctoral Fellowships at University of Oxford and Université de Paris-Sud Research Interests: Analytic and arithmetic methods in number theory, Diophantine geometry, rational points on varieties, circle method, sieve theory, and arithmetic statistics. His work often combines geometric and analytic techniques, such as the circle method and algebraic geometry to solve problems like Manin's conjecture and the distribution of solutions to polynomial equations. Grants & Leadership: ERC Starting Grant (2012) Serves on editorial boards of journals like Compositio Mathematica and Commentarii Mathematici Helvetici Organizes international conferences and workshops Labs/Teams: Leads the Browning Group at IST Austria, which includes postdocs and PhD students working on number theory and algebraic geometry. Collaborates with researchers globally on topics like the arithmetic of Fano varieties and rational curves.

• Number Theory
• Analytic Number Theory
• Diophantine Geometry
• +۴ مورد دیگر

Matthias Aschenbrenner is a Professor at the Faculty of Mathematics, Department of Mathematics, with expertise in model theory, differential algebra, and asymptotic analysis. His research spans valued fields, transseries, and low-dimensional topology. PhD in Mathematics from the University of Illinois at Urbana-Champaign His work focuses on the intersection of mathematical logic, differential equations, and algebraic structures. Key contributions include foundational studies on transseries, Hardy fields, and applications to topology. Recent publications address analytic Nullstellensätze, distality in valued fields, and approximation theorems in o-minimal contexts. He serves as a peer reviewer and collaborates on geometric properties of transcendental functions and valued differential fields. Scientific awards include Fellow of the American Mathematical Society (2012) and the Karp Prize (2018). His research is funded by grants on model theory and geometric transcendental functions.

• Model Theory
• Differential Algebra
• Asymptotics
• +۳ مورد دیگر

Tamar Ziegler is a Professor of Mathematics at the Einstein Institute of Mathematics, Hebrew University, holding the Henry and Manya Noskwith Chair in Mathematics since 2018. She currently serves as Chair of the Einstein Institute (2020-present) and has held visiting positions at prestigious institutions including IAS Princeton (2022-2023 Distinguished Visiting Professor), MSRI (2017 Simons Professor), and Stanford University (2012-2013). Her academic journey began with a B.Sc. summa cum laude (1995), M.Sc. (1998), and Ph.D. (2003) in mathematics from Hebrew University under advisor Hillel Furstenberg. Her career progression shows steady advancement from Zassenhaus Assistant Professor at Ohio State University (2002-2005), through positions at Technion (rising from Senior Lecturer to Professor), to her current role at Hebrew University since 2013. Ziegler's research spans number theory, ergodic theory, and combinatorics, with particular focus on additive combinatorics, higher order Fourier analysis, and connections between dynamical systems and number theory. Her work frequently involves collaborations with leading mathematicians including Terence Tao, Ben Green, and David Kazhdan. Analysis of her publication record reveals consistent contributions to fundamental mathematical problems, particularly in establishing polynomial patterns in primes, inverse conjectures for Gowers norms, and connections between ergodic theory and combinatorial number theory. Her research demonstrates a progression from foundational work on characteristic factors to increasingly sophisticated applications in prime number theory. 2025-2030 ERC Advanced grant 2024 Rothschild Prize in Mathematics 2024 9th European Congress in Mathematics, Plenary Speaker 2023 AIM Alexanderson Award 2021 Elected to Academia Europaea 2016 Rector's Prize for Excellence in Research and Teaching 2016-2021 ERC Consolidator grant 2015 Michael Bruno Memorial Award Ziegler has received continuous research funding through prestigious grants including multiple ERC awards and fellowships. Her leadership role as Chair of the Einstein Institute demonstrates significant institutional responsibility. While specific advising information isn't provided in the sources, her Erdős number is 2 (via Hillel Furstenberg) and she has collaborated with many prominent mathematicians throughout her career. As Chair of the Einstein Institute of Mathematics, Ziegler leads one of Israel's premier mathematical research centers, overseeing research programs and academic activities that connect ergodic theory, number theory, and combinatorics with other mathematical disciplines.

• Number theory
• Ergodic theory
• Combinatorics
• +۳ مورد دیگر

Andrew Granville serves as Chair of Mathematics at University College London (2015-present) and holds a Canada Research Chair at the University of Montreal (2002-present). His distinguished career spans institutions including University of Georgia, Institute for Advanced Study, and University of Paris. A Fellow of both the Royal Society of Canada and American Mathematical Society, he maintains active research and leadership roles in mathematical academia. Education: 1984: Master degree, Trinity College Cambridge 1987: PhD, Queens University (Advisor: Paulo Ribenboim) Professor Granville's research centers on analytic number theory , combinatorics , and arithmetic geometry . His work bridges theoretical foundations with innovative applications, evidenced by his supervision of 27 PhD students and 32 postdoctoral researchers. His scholarly impact extends through over 100 plenary lectures delivered at premier institutions worldwide including Berkeley, Cambridge, IAS, and Princeton. Notable Awards: CRM-Fields-PIMS Prize (2021) Multiple Lester R. Ford Awards (2007, 2009) Chauvenet Prize (2008) Royal Society Wolfson Research Merit Award (2015) Presidential Faculty Fellowship (1994-1999) His academic leadership includes delivering the plenary address at the American Mathematical Society Annual Meeting and serving as invited speaker at the International Congress of Mathematicians. Current research activities continue through his Montreal-based chair position and ongoing supervision of doctoral candidates across international institutions.

• Analytic number theory
• Combinatorics
• Arithmetic geometry

Robert F. Tichy is a Professor at the Institute of Analysis and Number Theory , Graz University of Technology, Austria. His career spans over four decades with significant contributions to Diophantine equations , uniform distribution , and quasi-Monte Carlo methods . He has held multiple editorial board positions and administrative roles , including Dean of the Faculty of Mathematics, Physics and Geodesy (2018-2019). Research Interests : Uniform distribution, Diophantine equations, algorithmic number theory, fractal structures, quasi-Monte Carlo methods, and mathematics in finance/insurance. Awards : Austrian Mathematical Society award (1985), Honorary Doctorate (University of Debrecen, 2017), Jean-Morlet Chair (2020), and memberships in prestigious societies. Publications : Over 200 papers with recent works (2024) focusing on Diophantine problems , pseudorandom sequences , and Carlitz coefficients . Teaching : Regular courses for engineering and mathematics students, including annual lectures on insurance mathematics .

• Uniform Distribution and Discrepancy
• Diophantine Equations
• Analytic Combinatorics
• +۶ مورد دیگر

Granville Andrew is a distinguished Professor of Mathematics at University College London (since 2015) and holds the Canada Research Chair at the University of Montreal (since 2002). He has held academic roles including Chair of Mathematics at the University of Georgia (1995–2002) and visiting positions at institutions such as Trinity College Cambridge and the Institute for Advanced Study. His research focuses on combinatorics, analytic number theory, and arithmetic geometry, with notable contributions to sieve methods, multiplicative functions, and prime distribution theories. Andrew has supervised 27 PhD students and advised 32 postdoctoral researchers, delivering over 100 plenary lectures globally. He is an elected member of the Royal Society and a Fellow of the American and Royal Societies of Canada. Key awards include the CRM-Fields-PIMS Prize (2021) and the Chauvenet Prize (2008). His work bridges pure mathematics with applications in cryptography and computational number theory. Education: PhD in Mathematics, Queen's University (1987), advised by Paulo Ribenboim MSc in Mathematics, Trinity College Cambridge (1984) Research Interests: Exploring the interface between combinatorics and number theory, particularly probabilistic combinatorics applied to additive number theory Study of multiplicative functions and their spectral properties Analysis of prime distribution and limitations in equidistribution patterns Investigations into abc conjecture implications and Siegel zeros Applications of dynamical systems in arithmetic geometry Academic Impact: Proved infinitude of Carmichael numbers, resolving a longstanding conjecture Pioneered 'pretentious' approach to analytic number theory Contributed foundational work on character sums and L-functions Grants & Advising: Recipient of Canadian Research Chair funding since 2002 Presidential Faculty Fellowship (1994–1999) from President Bill Clinton Supervised 27 PhD students and advised 32 postdoctoral researchers across his career

• Combinatorics
• Analytic Number Theory
• Arithmetic Geometry
• +۳ مورد دیگر

Koustav Banerjee is a Researcher at the Research Institute for Symbolic Computation (RISC) of Johannes Kepler University (JKU Linz). He holds a PhD in Mathematics (2022) from RISC, JKU, focusing on analytic number theory and partition function analysis. His primary research areas include Theory of Partitions, Modular Forms, q-Series, Combinatorics, and Mathematical Analysis. His work addresses asymptotic expansions, inequalities, and combinatorial proofs related to partitions, Bessel functions, and modular forms. Notable contributions include error bounds for partition function asymptotics, proofs of Chen's conjectures on partition inequalities, and applications of the localization method to congruence families. Publications highlight his expertise in bridging analytic methods with symbolic computation. Recent articles explore partition function inequalities, Bessel function properties, and combinatorial structures like plane partitions and hook-type tableaux. His research often intersects algebraic geometry and discrete mathematics, yielding results with implications in theoretical physics and computer algebra systems. Affiliated with RISC since his PostDoc tenure, he collaborates on technical reports and publishes in journals like Rocky Mountain Journal of Mathematics , European Journal of Combinatorics , and Annals of Combinatorics . His work emphasizes rigorous mathematical proofs and computational verification in number theory.

• Theory of Partitions
• Modular Forms
• q-Series
• +۳ مورد دیگر

Angus Macintyre is a Professor of Mathematics at Queen Mary University of London. He has held academic positions at the University of Edinburgh (1999–2002), the University of Oxford (1985–1999, as Professorial Fellow of Merton College), and Yale University (1973–1985). Elected as an Ordinary Member of the Academy of Europe in 2008, his research focuses on mathematical logic, group theory, algebraic geometry, number theory, and neural methods. Education: PhD in Mathematics from Stanford University (1968), thesis: "Classifying Pairs of Real-Closed Fields". Research interests include model theory applied to algebraic structures, p-adic fields, finite fields, and analytic fields with exponentiation. His work bridges abstract algebra, logic, and geometry, addressing foundational questions in mathematics. Notable awards include Fellow of the Royal Society (1993), Pólya Prize (2003), and membership in Academia Europea (2008). His leadership roles include President of the London Mathematical Society (2009–2011). No specific grants or advising details are provided in the text.

• Mathematical logic
• Group theory
• Algebraic geometry
• +۲ مورد دیگر

Daniel Krenn is an Assistant Professor in the Mathematics Department at Paris Lodron University of Salzburg. He holds a Ph.D. in Technical Mathematics from TU Graz (2013) and a Habilitation in Mathematics from Alpen-Adria Universität Klagenfurt (2019). His research focuses on discrete mathematics, including asymptotic enumeration, analysis of algorithms, analytic combinatorics, digit expansions, and graph theory. He has contributed to software development in SageMath, particularly in automata and transducer modules. Education: 2003–2009: Diploma in Electrical Engineering (TU Graz) 2005–2008: Bachelor's in Technical Mathematics (TU Graz) 2008–2010: Master's in Mathematical Computer Science (TU Graz) 2010–2013: Ph.D. in Technical Mathematics (TU Graz) 2019: Habilitation in Mathematics (Alpen-Adria Universität Klagenfurt) Research Interests: Discrete Mathematics Analysis of Algorithms and Data Structures Digit Expansions and Cryptography Combinatorics and Analytic Number Theory Key Awards: Promotio sub auspiciis Praesidentis rei publicae (2013) Austrian Mathematical Society Study Prize (2013) Austrian Federal Ministry of Science and Research Prize (2013) Professional Contributions: Coordinator of the doctoral program “Discrete Mathematics” at TU Graz (2015) Contributions to SageMath software development Over 30 peer-reviewed publications in journals like Algorithmica, Theoretical Computer Science, and Journal of Number Theory

• Discrete Mathematics
• Asymptotic Enumeration
• Analysis of Algorithms
• +۵ مورد دیگر

Jörg Thuswaldner is a Professor at the Chair of Mathematics, Statistics and Geometry at Montanuniversität Leoben. His research focuses on fractal geometry, number theory, dynamical systems, and combinatorics, with a particular emphasis on topics such as self-affine tiles, continued fraction algorithms, and digit systems. He has published extensively in top-tier journals such as Advances in Mathematics and Journal of Number Theory , contributing to the understanding of fractal structures, metric number theory, and symbolic dynamics. His editorial roles include serving on the boards of Lithuanian Mathematical Journal and Combinatorics and Number Theory , highlighting his influence in academic publishing. He actively collaborates internationally, hosting visiting scholars and participating in conferences to advance interdisciplinary research. Recent work explores applications of fractal geometry to permeable sets and the analysis of Weyl sums with digital restrictions. Thuswaldner’s research spans over two decades, with publications ranging from foundational studies in tiling theory to cutting-edge analyses of non-standard digit systems. His contributions bridge pure mathematics with applications in algebraic geometry and ergodic theory, making him a leading figure in modern mathematical research.

• Fractal Geometry
• Number Theory
• Dynamical Systems
• +۳ مورد دیگر

Chris Dowden is a Research Fellow at the Institute of Discrete Mathematics, Graz University of Technology. His research project 'Asymptotic properties of graphs on a surface', funded by the Austrian Science Fund (FWF Grant P27290), investigates combinatorial and probabilistic aspects of graphs embeddable on 2-dimensional surfaces. Key focus areas include random planar graphs, genus evolution, and extremal graph properties. Recent publications analyze topological constraints in random graphs, with works examining genus evolution in Erdős-Rényi models, surface embedding phase transitions, and extremal problems for cycle-free planar graphs. Research employs combinatorial probability, asymptotic analysis, and topological graph theory to establish fundamental properties of random graph embeddings. Teaching activities include courses in Analytic Combinatorics and Probabilistic Methods in Combinatorics and Algorithmics. No awards, student advisements, or laboratory information are detailed in available sources.

• Graph Theory
• Random Graphs
• Combinatorics
• +۲ مورد دیگر

Matteo Ferrari is a University Assistant Post-Doc in the Faculty of Mathematics at the University of Vienna, Austria, conducting research under Professor Ilaria Perugia's supervision. His position involves advanced numerical analysis and computational mathematics development. Education: Ph.D. in Numerical Analysis, Polytechnic University of Turin, supervised by Professors Silvia Falletta and Letizia Scuderi. His research centers on numerical methods for partial differential equations with emphasis on wave propagation and quantum mechanics. Key specialties include space-time discretization, isogeometric analysis, and coupling techniques between finite element and boundary element methods. He develops unconditionally stable schemes for wave equations and Schrödinger equations while applying virtual element methods to elastic wave problems and complex geometries. Analysis of his 2021-2025 publications reveals consistent innovation in space-time formulations and stability properties, particularly for Hamiltonian wave systems and time-domain scattering problems. His work bridges computational mathematics, physics, and engineering through novel discretization approaches for time-dependent PDEs. He actively contributes to Professor Ilaria Perugia's research group at the University of Vienna, focusing on computational mathematics advancements through collaborative projects and methodological developments.

• Numerical Analysis
• Partial Differential Equations
• Computational Mathematics
• +۵ مورد دیگر

Norbert Kaiblinger is an Associate Professor at the Institute of Mathematics, BOKU University, Vienna, Austria. His research focuses on applied mathematics, harmonic analysis, and numerical methods, with applications in fluid mechanics, statistics, and chemical engineering. He holds a habilitation in Mathematics from the University of Vienna, granting him teaching authorization in the field. His work bridges theoretical mathematics with practical computational problems, particularly in adsorption modeling and fluid dynamics. Key research interests include multicomponent batch adsorption models, dynamics of subaqueous systems, analysis of variance (ANOVA) methodologies, and special functions. Recent publications (2023–2025) highlight advancements in equilibrium composition calculations and statistical experimental design. His earlier work (2007–2019) explores Fourier analysis, operator theory, and algebraic structures like cyclotomic rings and circulant matrices. While no formal advising relationships or grants are listed, his collaborative research involves co-authors from diverse fields such as chemical engineering and fluid mechanics. Kaiblinger’s work is disseminated through journals like Adsorption, Journal of Fluid Mechanics, and Transactions of the American Mathematical Society.

• Mathematics
• Applied Mathematics
• Harmonic Analysis
• +۳ مورد دیگر

Christian Krattenthaler is a retired Professor at the University of Vienna's Faculty of Mathematics, specializing in combinatorics and algebraic combinatorics. He is a member of the combinatorics group and co-leads the Arbeitsgemeinschaft für Diskrete Mathematik. His research focuses on enumerative combinatorics, hypergeometric series, and number theory, with notable contributions to lattice path enumeration, determinants, and tilings. He has developed Mathematica packages like HYP, HYPQ, and RATE for hypergeometric series manipulation and sequence guessing. Krattenthaler is an editor for journals such as the Séminaire Lotharingien de Combinatoire, Electronic Journal of Combinatorics, and Annales de l’Institut Henri Poincaré D. His work includes advancements in Pfaffian rings, Schubert varieties multiplicities, and combinatorial identities. Collaborations span across institutions like TU Wien and TU Graz within the Special Research Programme (SFB) on Discrete Random Structures. He has advised numerous students, though specific advisee names are not listed here.

• Enumerative Combinatorics
• Algebraic Combinatorics
• Hypergeometric Series
• +۳ مورد دیگر