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James MaynardView profile

Professor

• Analytic Number Theory
• Prime Numbers
• Sieve Methods
• +1 more

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).

Emmanuel KowalskiView profile

Professor

• Automorphic forms
• L-functions
• Analytic Number Theory
• +5 more

Emmanuel Kowalski is a Professor of Mathematics at ETH Zurich , where he has been since 2008. Previously, he held professorships at Université Bordeaux I (2000–2007) and was a Veblen Research Instructor at Princeton University and the Institute for Advanced Study (1998–2000). His research focuses on analytic number theory, automorphic forms, and algebraic geometry. Education: École Normale Supérieure de Lyon (1989–1992); PhD in Mathematics from Rutgers University (1998). Research Interests include automorphic forms, L-functions, sieve methods, exponential sums, and probabilistic number theory. His work often bridges number theory with algebraic geometry and harmonic analysis. He has authored over 70 research papers and 6 books, including the influential Analytic Number Theory (2004) with Henryk Iwaniec. Scientific Awards and Invitations include the von Neumann Visiting Fellowship at IAS Princeton (2009), membership in the Board of the Institut des Hautes Études Scientifiques (2016–present), and four invitations to lecture at the prestigious Bourbaki Seminar. He has also delivered key lectures at the Riemann International School of Mathematics and conferences honoring major mathematicians. Grants and Leadership He has organized numerous conferences and research programs, including the 2019 Arithmetic, geometry and modular forms conference at FIM and the 2022 goMath program on Women in Mathematics. He co-leads projects funded by the Swiss National Science Foundation (SNF), such as Trace functions and arithmetic Fourier transforms .

Pierre ColmezView profile

Researcher

• Arithmetic geometry
• Galois representations
• p-adic Hodge theory
• +1 more

Pierre Colmez is a French mathematician affiliated with the École Polytechnique (1993-2010) and the National Center for Scientific Research (CNRS) at the Institut de Mathématiques de Jussieu since 2010. His academic journey includes postdoctoral positions at the Institut Joseph Fourier (Grenoble) and the Max Planck Institute for Mathematics (Bonn). Ph.D. in 1988 (Grenoble) under Jean-Marc Fontaine and John Coates École Polytechnique: Professor (2006-2010), Teaching Professor (1993-2005) Colmez’s research lies at the intersection of arithmetic geometry , Galois representations , p-adic Hodge theory , and the Langlands program . His work explores connections between automorphic forms, p-adic analysis, and cohomological structures in number theory. His most recent publications focus on p-adic cohomology, Drinfeld towers, and syntomic complexes, reflecting his expertise in advanced topics of nonarchimedean geometry and Galois cohomology . Collaborations with Gabriel Dospinescu and Wiesława Nizioł highlight his contributions to modern arithmetic geometry. Prix Léonid Frank (2016) Aisenstadt Chair (2015) Prix Fermat (2005) Prix Gabrielle Sand et Guido Triossi (1999) Colmez has held editorial roles at Astérisque (1999-2004), directed the SMF Mathematical Documents collection (2001-2016), and served on editorial boards for Annales de l'ENS and Publications de l'IHES . His academic network includes collaborations with Laurent Berger, Christophe Breuil, and Jean-Pierre Serre.

Michael J. SchlosserView profile

Professor

• Combinatorics
• Number Theory
• Special Functions
• +3 more

Michael J. Schlosser is a faculty member at the Faculty of Mathematics , University of Vienna. His research focuses on combinatorics, number theory, and special functions, with a particular emphasis on hypergeometric and q-series, elliptic extensions, and rook theory. He has authored numerous publications in collaboration with prominent mathematicians such as Victor Guo, Meesue Yoo, and Christian Krattenthaler. Research Interests : Combinatorics and hypergeometric series Elliptic functions and their applications Partition theory and supercongruences Matrix inversions and determinant evaluations Students : Josef Küstner (Ph.D., 2022) Christian Stump (Ph.D., 2008) Editorial Roles : Associate Editor, Journal of Mathematical Analysis and Applications Editorial Board Member, The Ramanujan Journal Editorial Board Member, Journal of Algebraic Combinatorics

Anton MellitView profile

Associate Professor

• Algebraic Geometry
• Enumerative Geometry
• Representation Theory
• +4 more

Anton Mellit is an Associate Professor in the Faculty of Mathematics at the University of Vienna. He holds a Doctor of Natural Sciences from the University of Bonn (2008) and completed postdoctoral positions at institutions including the Hausdorff Center for Mathematics (Bonn), Scuola Internazionale Superiore di Studi Avanzati (Trieste), and the Institute of Science and Technology Austria (Klosterneuburg). His research focuses on algebraic geometry, enumerative geometry, and their connections to representation theory, combinatorics, and number theory, with particular emphasis on moduli spaces, categorification, and character varieties. Education: Doctor of Natural Sciences (2008), University of Bonn Master in Applied Mathematics (2004), National Technical University of Ukraine Bachelor in Applied Mathematics (2002), National Technical University of Ukraine Research Interests: Investigates Poincaré polynomials of moduli spaces, Higgs bundles, and character varieties Studies Khovanov-Rozansky homology and torus knots Explores connections between Macdonald polynomials and affine Springer fibers Develops combinatorial approaches to algebraic geometry via Hilbert schemes and categorification Grants & Projects: ERC Consolidator Grant: Macdonald polynomials and related structures in geometry FWF Standalone Project: Refined invariants in combinatorics, low-dimensional topology, and geometry of moduli spaces Labs/Teams: Collaborates with researchers in geometric representation theory, quantum cohomology, and algebraic combinatorics, including notable co-authors like Erik Carlsson, Eugene Gorsky, and Maxim Smirnov.

Michael RapoportView profile

Professor

• Mathematics
• Algebraic Geometry
• Number Theory
• +5 more

Michael Rapoport is a Professor at the University of Bonn, with a distinguished academic career spanning multiple institutions including the University of Cologne (1996-2003), University of Wuppertal (1989-1996), and the University of Heidelberg (1982-1986). He is a member of the Academy of Europe (elected 2012) and has held significant roles in mathematical research communities, such as serving on the Scientific Committees of the MPI Bonn (1988-2008) and IHES Paris (2001-2005). Current Position: Professor at University of Bonn Previous Positions: University of Cologne, Wuppertal, Bonn, Heidelberg Academic Affiliation: Mathematics Section Rapoport's research focuses on advanced mathematical structures in Algebraic Geometry and Number Theory. His work explores Shimura varieties, moduli spaces of abelian varieties, and locally symmetric algebraic varieties, with a particular emphasis on their geometric and arithmetic properties. Additionally, he has contributed to the study of p-divisible groups, affine flag varieties, and G-bundles on curves, shaping theoretical frameworks in these domains. His scholarly contributions include influential publications such as "Smooth compactifications of locally symmetric varieties" (2010) and "Period spaces for p-divisible groups" (1996). These works span topics like modular forms, special cycles, and coefficient spaces, reflecting a deep integration of geometry and number theory. Scientific Awards Heinz-Hopf-Preis (2011) Prix Gay-Lussac/Humboldt (2000) Gottfried-Wilhelm-Leibniz-Preis (1992) Akademiestipendium of the VW-foundation (1991) Rapoport has also played a pivotal role in academic governance, serving on editorial boards and selection committees. He was an Associate Editor of the Duke Mathematical Journal (1995-2000) and a member of the Scientific Committee at the Max Planck Institute for Mathematics in Bonn for two decades (1988-2008).

Emmanuel BreuillardView profile

Professor

• Combinatorics
• Geometric Group Theory
• Ergodic Theory
• +1 more

Emmanuel Breuillard is a Professor of Pure Mathematics at the University of Oxford. Previously, he held positions as Sadleirian Professor at the University of Cambridge (2017-2021), Professor at Université Paris-Sud (2008-2017), and Associate Hadamard Professor at École Polytechnique (2006-2008). His academic journey includes a PhD from Université Paris-Sud and Yale University, supervised by Frédéric Paulin and Gregory Margulis, and a Master in Mathematics from Cambridge. PhD: Université Paris-Sud (2004), supervised by Frédéric Paulin; Yale University, supervised by Gregory Margulis Master: University of Cambridge (2000) Ecole Normale Superieure (1997-1999) His research spans Combinatorics , Geometric Group Theory , Ergodic Theory , and Number Theory , focusing on approximate groups, expansion in finite simple groups, and Diophantine geometry. His recent work analyzes Elekes-Szabo problems in projective geometries. He has authored 50+ publications in prestigious journals, addressing topics like random polynomials, C*-simplicity, and uniform independence in linear groups. Fellow of the Royal Society (2024) ERC Consolidator Grant (2014-2019) Prix Charles-Louis de Freycinet (2013) European Mathematical Society Prize (2012) ERC Starting Grant (2008-2013) Cours Péccot, Collège de France (2006)

• Mathematics
• Representation Theory
• Number Theory
• +3 more

Dr. Alberto Mínguez Espallargas is a University Professor at the Faculty of Mathematics , affiliated with the Institute of Mathematics . His research focuses on representation theory of reductive groups over local fields, automorphic forms, and number theory, particularly exploring connections between geometric methods and categorification in p-adic groups. Key research areas: Representation Theory, Automorphic Forms, p-adic Groups Recent work: Co-tempered A-packets, congruences mod ℓ, geometric irreducibility Scientific Activities: Regular lecturer on advanced mathematical topics, active in international collaborations, and peer-reviewed journal contributor.

Müller WernerView profile

Professor

• Geometric analysis
• Automorphic forms
• Harmonic analysis
• +3 more

Werner Müller is a Professor of Mathematics at the University of Bonn since 1993, holding positions at prestigious institutions like the Max-Planck-Institut für Mathematik and the Institute for Advanced Study. His research focuses on geometric analysis, automorphic forms, and harmonic analysis on locally symmetric spaces. He has made significant contributions to spectral theory and arithmetic geometry. Education: Diplom (1974), Ph.D. (1977), and Habilitation (1983) from Humboldt University Berlin. His academic career includes roles as a Professor at the Academy of Sciences of the GDR and collaborative research leadership in German-Israeli initiatives and Excellence clusters. Awards include membership in the German National Academy of Sciences (Leopoldina, 2003), Berlin-Brandenburg Academy (1993), and the Max-Planck-Forschungspreis (1991). His work spans spectral asymptotics, trace formulas, and automorphic forms, with key contributions to analytic torsion and L²-invariants. He has organized major conferences, served on editorial boards of journals like Inventiones Mathematicae and Analysis & PDE, and participated in high-impact research programs such as the Excellence cluster in Mathematics (2012–present).

• Architectural Geometry
• Digital Design
• Sustainable Materials
• +4 more

Milena Stavric is an Associate Professor at TU Graz's Institute for Architecture and Media. Her research focuses on architectural geometry, digital design, and sustainable materials. She integrates computational methods and digital fabrication techniques into architectural design, emphasizing eco-friendly materials like mycelium composites, alginate-based materials, and clay ceramics. Her work bridges theoretical research with practical applications, such as BIM integration for salvage materials and parametric modeling for freeform structures. She teaches courses in architectural geometry and digital design, contributing to advanced computational workflows from concept to fabrication. Her projects often explore the interplay between material properties and structural form, aiming to advance sustainable construction practices. Research interests include: sustainable building materials (e.g., mycelium-based insulation, alginate xerogels), parametric design strategies, and digital fabrication methods for lightweight ceramics. She explores novel fabrication techniques like coextrusion of clay composites and robotic fabrication of modular formwork. Her work frequently addresses environmental impacts through life cycle assessments and biogenic carbon analysis. Key projects involve material innovation (e.g., MyCera: clay-mycelium composites), digital tools development for early design phases, and educational initiatives like interactive math learning environments. Her contributions span academic publications and applied research, with a focus on integrating geometry, computation, and sustainability in architectural practice.

Granville AndrewView profile

Professor

• Combinatorics
• Analytic Number Theory
• Arithmetic Geometry
• +3 more

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

Don ZagierView profile

Professor

• Number theory
• Automorphic forms
• Arithmetic geometry
• +1 more

Don Zagier is a renowned mathematician at the Hausdorff Center for Mathematics (HCM) , University of Bonn, and has been Director of the Max Planck Institute for Mathematics in Bonn since 1995. He also holds a Distinguished Staff Associate position at ICTP since 2014. Education: D.Phil., Oxford University (1972) Habilitation, University of Bonn (1975) Research Focus: Number theory Modular forms and special functions Interdisciplinary mathematics Honours: 1984 - Carus Prize 1987 - Frank Nelson Cole Prize 1996 - Prix Elie Cartan, Académie des Sciences 2000 - Chauvenet Prize (Mathematical Association of America) 2001 - Karl Georg Christian von Staudt Prize

• Theory of Partitions
• Modular Forms
• q-Series
• +3 more

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.

Orna GrumbergView profile

Professor

• Model checking
• Automated verification
• Abstraction and refinement
• +7 more

Orna Grumberg is a Leumi Chair Professor in the Computer Science Department at the Technion - Israel Institute of Technology. She has held this professorship since 2005 and was awarded the Leumi Chair in Science in 2011. Professor Grumberg serves on the Steering Committee of the Computer-Aided Verification (CAV) conference and has been actively involved in the academic community through editorial boards and conference committees. Her educational background is deeply rooted at the Technion, where she received her B.Sc., M.Sc., and Ph.D. in Computer Science. Professor Grumberg's research spans several critical areas in computer science, with a primary focus on formal verification methods. Her work has significantly advanced the field of model checking and automated verification systems. She has made substantial contributions to abstraction techniques, refinement methods, and counterexample analysis in verification processes. Her research extends to compositional model checking, SAT-based approaches, distributed verification systems, and applications to security vulnerability detection. Her theoretical work on temporal logics and automata on infinite objects provides the mathematical foundation for many practical verification tools. The publication record of Professor Grumberg demonstrates a consistent research trajectory focused on improving model checking techniques. Her work shows evolution from foundational model checking approaches to more specialized techniques like abstraction-refinement, SAT-based solving, and security applications. The research spans theoretical computer science, practical software engineering applications, and hardware verification, reflecting the interdisciplinary nature of formal methods. Professor Grumberg has received recognition through her leadership roles in the field, including serving on the Steering Committee of the CAV conference and editorial boards of prestigious journals like "Information and Computation" and "Formal Methods in System Design". Her book "Model Checking" co-authored with E.M. Clarke and D. Peled has become the standard reference in the field. As an educator and mentor, Professor Grumberg has shaped the verification landscape in Israel. She served as Associate Dean for Graduate Studies at the Technion and established the software engineering track with a strong verification component. Her introductory model checking course attracts approximately 100 students annually. Her students now hold prominent positions in academia (Hebrew University, Tel-Aviv University) and industry (particularly at IBM). She maintains strong industry collaborations, with ongoing projects with IBM on UML Verification and with Rafael on Finding Security Vulnerabilities in Network Protocols. Professor Grumberg leads research groups that form the foundation for verification teams in major Israeli technology companies like IBM and Intel, demonstrating the practical impact of her academic work.

Emmanuel UllmoView profile

Professor

• Number Theory
• Transcendence Theory
• Arakelov Geometry
• +2 more

Emmanuel Ullmo is a Full Professor at the University of Paris-Sud and has served as Director of the Institut des Hautes Études Scientifiques (IHES) since 2013. His career spans prestigious positions, including Assistant Professor at Princeton University and administrative roles in academic leadership. PhD in Mathematics, Université Paris-Sud (1993) Habilitation, Université Paris-Sud (1997) Student, École Normale Supérieure de Cachan (1985–1989) Ullmo’s research lies at the intersection of number theory, algebraic geometry, and ergodic theory. He has made significant contributions to the study of Shimura varieties, equidistribution of Hecke points, and the André-Oort conjecture, often leveraging tools from automorphic forms and transcendence theory. His work explores connections between arithmetic geometry and dynamical systems, particularly through equidistribution theorems and applications of ergodic theory to Diophantine problems. Key themes include height theory, modular curves, and special subvarieties. Scientific Awards and Grants Prix Elie Cartan (2006) Institut Universitaire de France Member (2003–2008) NSF Grant (1999–2001) Invited Speaker, ICM (2002) Ullmo has advised five PhD students, including Zyang Gao and Martin Orr, and played leadership roles in organizing mathematics conferences and editorial boards. He served as Managing Editor of Inventiones Mathematicae and chaired the Erasmus Mundus Network ALGANT node at Paris-Sud.