Find Academic Supervisors

Andreas Bode is a Research Fellow at the University of Wuppertal, where he is part of the group led by Sascha Orlik in the Department of Mathematics. His research focuses on D-modules on rigid analytic spaces, integrating geometric representation theory and nonarchimedean geometry. His research interests span several areas of algebraic geometry and number theory, including the study of p-adic differential operators, nonarchimedean geometry, and representation theory. He explores the interplay between D-modules and rigid analytic spaces, contributing to the understanding of holonomicity, Auslander regularity, and the application of almost mathematics in p-adic contexts. His work bridges geometric and analytic approaches to problems in nonarchimedean settings. Bode's recent publications include advancements in the theory of Auslander regularity for p-adic structures, contributions to the holonomicity of D-cap-modules on rigid analytic spaces, and explorations into locally analytic representations of p-adic groups. His work often intersects with homological algebra and functional analysis, reflecting a deep engagement with both theoretical and methodological challenges in nonarchimedean geometry. He has not been mentioned as having received any scientific awards in the provided texts. Bode's current role as a postdoctoral researcher does not involve formal academic advising of students. No grants are specifically mentioned in the provided information. He is affiliated with the Algebra and Number Theory group at the University of Wuppertal, collaborating with colleagues such as Sascha Orlik and contributing to the broader research community in nonarchimedean geometry.

• Algebraic Geometry
• Number Theory
• Representation Theory
• +3 more

Maxim Kontsevich has been a permanent professor at the Institut des Hautes Études Scientifiques (IHÉS) since 1995, holding the AXA-IHES Chair for Mathematics . He is also Professor at Rutgers University (one month per year since 1997) and was Professor at University of California, Berkeley (1993–1995). Born 25 August 1964 in Khimki, former USSR, he became a French citizen in 1999. Education: Ph.D. in Mathematics, University of Bonn, March 1992. Research Interests: Prof. Kontsevich’s work lies at the intersection of algebraic geometry , mathematical physics , and quantum theory . He introduced revolutionary ideas in mirror symmetry , non-commutative geometry , and deformation quantization , creating new algebraic structures that have found applications far beyond their original contexts. His current ERC Synergy Grant “ReNew Quantum” (2019-2025) explores recursive and exact new quantum theory . Publications & Trends: Across more than 50 influential papers, Kontsevich has consistently pushed the boundaries of enumerative geometry , motivic integration , and topological field theory . His recent work delves into symplectic aspects of homological algebra , motivic Donaldson-Thomas invariants , non-archimedean geometry , and integrable systems , revealing deep connections between geometry, algebra, and physics. Scientific Awards & Honors: Fields Medal (1998) Crafoord Prize (2008) Shaw Prize in Mathematical Sciences (2012) Breakthrough Prize in Fundamental Physics (2012) Breakthrough Prize in Mathematics (2014) ERC Synergy Grant “ReNew Quantum” (2019) AMS Moore Prize (2025) Doctor Honoris Causa: Aarhus University (2014), Universität Wien (2015), Syddansk Universitet (2023) Member of Académie des Sciences, Institut de France, Academia Europaea, National Academy of Sciences (foreign), London Mathematical Society (honorary) Grants & Leadership: As Principal Investigator of the ERC Synergy Grant “ReNew Quantum” (€10 million, 2019-2025), Kontsevich coordinates an international team advancing exact methods and resurgence in quantum field and string theories. Editorial Service & Community Roles: He serves on the editorial boards of Compositio Mathematica , Publications Mathématiques IHÉS , Journal of Noncommutative Geometry , and several other leading journals, shaping the direction of contemporary mathematical research.

• Algebraic Geometry
• Mathematical Physics
• Mirror Symmetry
• +7 more

Raphaël Beuzart-Plessis is a CNRS Research Fellow affiliated with Aix-Marseille University and the Institute of Mathematics of Marseille (I2M) at Luminy Campus. He specializes in advanced areas of mathematics, including harmonic analysis, automorphic forms, representation theory, and number theory, with a focus on unitary groups and conjectures like Gan-Gross-Prasad. His work bridges algebraic geometry, differential geometry, and operator theory. Arithmetic, Geometry, Logic and Representations Group (AGLR) 2022-2027 ERC RELANTRA grant recipient Research interests span automorphic representations, L-functions, periods of automorphic forms, and harmonic analysis on real spherical spaces. He works extensively on the local and global Gan-Gross-Prasad conjectures, endoscopy, and supercuspidal representations. His recent publications analyze Plancher1el formulas, spherical characters, and congruences of automorphic forms. His 15 most recent publications (2014-2022) address topics such as the Gan-Gross-Prasad conjecture, Jacquet-Rallis's fundamental lemma, and the Asai Rankin-Selberg integrals. These works reflect his expertise in automorphic forms, representation theory, and number theory, often involving collaborations with leading mathematicians. 2016-2017 Peccot Prize for young mathematicians under 30 2022-2027 ERC RELANTRA grant for research in automorphic forms and representation theory Beuzart-Plessis has no listed students or laboratory teams but participates in the AGLR-RGR (Reduction Group Representations) team and has been an invited speaker at the 2022 International Congress of Mathematicians. His career includes guest lectures at Collège de France, including four sessions on Period factorizations and Plancherel formulas in 2017.

• Harmonic analysis
• Differential geometry
• Algebraic number theory
• +5 more

Maxim Kontsevich is a permanent professor at the Institut des Hautes Études Scientifiques (IHÉS), holding the AXA Chair for Mathematics since 1995 and a visiting chair at Rutgers University (one month annually since 1997). Born in 1964 in Khimki, USSR, he earned his PhD from Bonn University in 1992. His career includes visiting positions at Harvard, the Institute for Advanced Study, and Berkeley, where he was a professor from 1993 to 1995. His research spans mathematical physics, algebraic geometry, and non-commutative geometry. Notable contributions include deformation quantization, mirror symmetry, and motivic integration. His work bridges algebraic structures with geometric and physical concepts, influencing areas like topological field theories, string theory, and integrable systems. Awardees of Fields Medal (1998), Crafoord Prize (2008), and Breakthrough Prize (2014), he also holds editorial roles at Compositio Mathematica and Publications Mathématiques IHÉS. His over 50 publications explore advanced topics such as quantum cohomology, Hodge theory, and categorical structures in geometry.

• Mathematical Physics
• Algebraic Geometry
• Deformation Quantization
• +5 more

Christopher Deninger is a distinguished Professor in the Mathematical Institute at the University of Münster, Germany, where he leads research in Arithmetic Geometry and Representation Theory. His office is located in Room 413 of the Einsteinstr. 62 building, and he maintains active teaching responsibilities including courses in Representation Theory of Finite Groups, Linear Algebra, and specialized topics like Adic Spaces. Deninger's research spans multiple interconnected domains of modern mathematics, with a consistent focus on the deep connections between number theory and geometry. His work has evolved from classical arithmetic geometry to incorporate increasingly sophisticated connections with p-adic analysis, dynamical systems, and more recently proalgebraic fundamental groups. A unifying theme throughout his career has been exploring analogies between different mathematical structures, particularly those connecting analytic number theory with dynamical systems on foliated spaces. His recent publications reveal a continued expansion of his research program into new territories while maintaining connections to his foundational work. The most recent papers show increasing integration of algebraic topology concepts with arithmetic geometry, particularly through proalgebraic fundamental groups and their applications. The consistent thread throughout his decades of publications is the search for deeper structural connections between seemingly disparate areas of mathematics, particularly those bridging analysis, geometry and number theory. Professor Deninger has mentored an extensive number of doctoral students and postdoctoral researchers, as evidenced by the comprehensive list of former members in his working group. His collaborations span the international mathematical community, with numerous joint publications with leading mathematicians across Europe and beyond. While specific grant information isn't detailed in the available materials, his sustained publication record across decades suggests consistent research support for his mathematical investigations. The Mathematical Institute at Münster provides the institutional home for Deninger's research activities, where he maintains an active working group focused on arithmetic geometry and related fields. His office environment includes support staff and colleagues working in closely related mathematical domains, creating a vibrant research community centered around advanced topics in pure mathematics.

• Arithmetic Geometry
• Number Theory
• Algebraic Geometry
• +3 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.

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

Christian Wald is a Post-doctoral researcher at Technical University Berlin working under Professor Gabriele Steidl, focusing on generative modeling, flow matching, and stochastic processes in machine learning. His research bridges theoretical probability with practical medical imaging applications, particularly in MRI reconstruction and analysis. He completed his PhD at Humboldt University of Berlin in 2017 with a thesis on p-adic quantum groups. His academic journey transitioned from pure mathematics to interdisciplinary machine learning research, reflecting his versatile expertise. Wald's primary research explores generative models through the lens of optimal transport and flow matching, with significant contributions to Wasserstein geometry and conditional distance metrics. His work frequently integrates stochastic processes to enhance medical image reconstruction, demonstrating strong cross-disciplinary impact in both theoretical machine learning and clinical applications. Recent publications highlight innovations in sliced MMD flows, Bayesian OT methods, and uncertainty-aware medical image analysis. Analysis of his 15 most recent publications (2019-2025) reveals a consistent trajectory toward unifying geometric probability with deep learning. Key themes include flow-based generative modeling for medical time-series data, optimal transport applications in image reconstruction, and novel kernel methods for distribution matching. His work spans both foundational theory (e.g., Fisher-Rao curves) and high-impact medical applications (e.g., coronary calcium scoring). No specific scientific awards are documented in the provided text, though his publications appear in prestigious venues including ICLR, IEEE TMI, and Physics in Medicine & Biology. Wald maintains extensive collaborations with the medical imaging group at Technical University Berlin, particularly with Andreas Kofler and Gabriele Steidl. His co-authored works demonstrate consistent contributions to MRI reconstruction pipelines and segmentation frameworks, though no formal advising roles or grant leadership are indicated. Current projects focus on uncertainty quantification in active learning for medical image segmentation. He operates within Gabriele Steidl's research group at Technical University Berlin, which specializes in mathematical imaging and machine learning. The team combines expertise in optimization, probability theory, and deep learning to solve medical imaging challenges, with Wald contributing core algorithmic innovations in generative modeling and stochastic reconstruction.

• Generative Modeling
• Flow Matching
• Stochastic Processes
• +3 more

Cameron Franc is an Associate Professor in the Department of Mathematics & Statistics at McMaster University. He holds a Ph.D. from McGill University (2011) and a B.Sc. from Queen's University (2006). His research focuses on number theory, algebraic geometry, and vertex operator algebras, with a particular emphasis on modular forms and their applications. He has contributed to topics such as p-adic analysis, representation theory, and Fuchsian groups. Teaching responsibilities include advanced courses like Cryptography (MATH 3CY3), Algebra I (MATH 701), and Number Theory (MATH 3H03), reflecting his expertise in foundational and specialized mathematical areas. He has published extensively in journals such as Communications in Algebra, Mathematika, and Canadian Journal of Mathematics. His work bridges pure mathematics with interdisciplinary applications, including studies in automorphic forms and geometric structures. Research highlights include exploring unbounded denominators conjectures, p-adic vertex algebras, and vector-valued modular forms. Despite no explicit awards listed, his contributions to modular form theory and algebraic structures demonstrate significant scholarly impact.

• Number Theory
• Algebraic Geometry
• Modular Forms
• +3 more

Andrei Khrennikov is Professor of Mathematics at the Department of Mathematics, Linnaeus University, where he also serves as director of the International Center for Mathematical Modeling (ICMM) . He leads a vibrant research group focused on interdisciplinary modeling in physics, biology, cognition, and social systems. Research Interests: His work spans a vast interdisciplinary landscape, including mathematical physics, p-adic and non-Archimedean analysis, quantum foundations, quantum-like modeling of cognition and decision-making, econophysics, and biological dynamics . He is a pioneer in applying quantum probability and formalism outside quantum physics, especially in psychology and social sciences. The Växjö series of quantum theory conferences , which he organizes, is the longest-running continuous conference series on quantum foundations, fostering dialogue between theorists, experimentalists, and philosophers. His recent publications (2021–2025) show a strong focus on quantum cognition, p-adic biology, entanglement models, and social laser theory , often leveraging generalized probability and open quantum systems frameworks. Scientific Contributions: Developed quantum-like models for cognition, decision-making, and biological processes. Pioneered use of p-adic and ultrametric analysis in genetics and brain dynamics. Advanced classical random field models as alternatives to quantum interpretations. Introduced the social laser model for collective emotional amplification in societies. He is actively involved in major research projects such as QUARTZ (Quantum Information Access and Retrieval Theory) and DYNALIFE (Information, Coding, and Biological Function) . His work bridges mathematics, physics, and cognitive science, promoting a unified framework for understanding complex systems through quantum-inspired tools.

• Mathematics
• Physics
• Biology
• +23 more

Konstantin Ardakov is a Tutorial Fellow in Mathematics at Brasenose College and University Lecturer in Pure Mathematics at the University of Oxford. He holds an MMath from the University of Oxford and a PhD from the University of Cambridge. His academic background includes positions at the Universities of Sheffield, Nottingham, Queen Mary University of London before returning to Oxford in 2013. Dr. Ardakov's research focuses on applying techniques from algebraic geometry and noncommutative algebra to study problems in representation theory arising from areas of algebraic number theory such as non-commutative Iwasawa theory and the Langlands programme. His work explores the geometric representation theory of p-adic groups and the development of p-adic analogues of Beilinson-Bernstein localization.

• Algebraic geometry
• Noncommutative algebra
• Representation theory
• +1 more

Dan Ciubotaru is Professor of Mathematics at the University of Oxford's Mathematical Institute and Diana Brown Fellow and Tutor in Pure Mathematics at Somerville College. He completed his PhD at Cornell University in 2004 and maintains active research and teaching roles within the university's Mathematical, Physical and Life Sciences Division. His educational background includes: PhD in Mathematics, Cornell University (2004) Ciubotaru specializes in representation theory of reductive Lie groups and p-adic groups, with core focus areas including the unitary dual, local Langlands correspondence, affine Hecke algebras, Coxeter groups, and Dirac operators. His work bridges algebraic structures with harmonic analysis and number theory, particularly through the study of wavefront sets and unipotent representations. This research contributes significantly to understanding automorphic forms and geometric aspects of the Langlands program. Analysis of his 2022-2025 publications reveals concentrated advancement in wavefront set theory for p-adic groups, with recurring themes in unipotent representations, Langlands parameters, and symplectic Dirac operators. His work consistently connects representation-theoretic structures with geometric and arithmetic properties, demonstrating strong collaboration networks across international mathematics communities. His scientific recognition includes: Diana Brown Fellowship (Somerville College) MPLS Teaching Award (2017) Ciubotaru has secured significant research funding as Principal Investigator for EPSRC grants including "New Horizons" EP/V046713/1 (2021-2023) and EP/N033922/1 (2016-2020). He serves on editorial boards for Documenta Mathematica (2015-2024) and Quarterly Journal of Mathematics (2017-present), and teaches advanced courses including "Representations of semisimple Lie algebras" (C2.3). While no dedicated research labs are specified, his extensive co-authorship with scholars like Mason-Brown, Okada, and Barbasch indicates active participation in global representation theory networks, particularly through collaborations on p-adic group representations and Langlands program applications.

• Representation Theory
• Lie Groups
• p-adic Groups
• +5 more

Jessica Fintzen is a Professor of Mathematics at the University of Bonn since 2022, holding the Chair for Number Theory. Previously, she served as a Royal Society University Research Fellow and Lecturer at the University of Cambridge (2020–2022) and Assistant Professor at Duke University (2020–2021). Her academic journey includes postdoctoral roles at the University of Michigan (2016–2020) and the Institute for Advanced Study (2017–2018). She earned her PhD in Mathematics from Harvard University in 2016, alongside dual BSc degrees in Mathematics and Physics from Jacobs University Bremen (2011). Her research focuses on number theory and representation theory , particularly on p-adic groups and the Langlands program. She has organized high-profile conferences such as the 2020 Paul J. Sally, Jr. Midwest Representation Theory Conference and the Arizona Winter School 2025. Her work bridges theoretical insights with applications, including contributions to Bruhat-Tits theory, Hecke algebras, and automorphic forms. Fintzen has been recognized with prestigious awards, including the EMS Prize (2024), the Frank Nelson Cole Prize in Algebra (2024), and the Whitehead Prize (2022). She leads the ERC Starting Grant-funded project and has secured NSF grants, including a CAREER Grant. Her research also involves collaborations on topics like Moy-Prasad filtrations and stable vectors in representation theory. Grants: ERC Starting Grant (2022–2027), NSF CAREER Grant (2021–2026), NSF Grant (2018–2022) Fellowships: Sloan Research Fellowship (2021–2023), Royal Society Fellowship (2020–2025) Professional Activities: Organized conferences, led working groups, and contributed to initiatives like the Arithmetic Geometry and Representation Theory group in Bonn.

• Number Theory
• Representation Theory
• p-adic Groups
• +3 more

Jennifer Johnson-Leung serves as Professor in the Department of Mathematics and Statistical Science within the College of Science at the University of Idaho, with additional affiliation as Participating Faculty at the Institute for Modeling Collaboration and Innovation under the Office of Research and Economic Development. Her academic credentials include: PhD in Mathematics from the California Institute of Technology (2005) BS in Chemistry and Mathematics from the College of William and Mary (1998) Professor Johnson-Leung maintains a dual research focus bridging pure mathematics and applied epidemiology. In theoretical mathematics, she investigates Siegel modular forms, paramodular forms, Hecke algebras, and representation theory, advancing understanding of automorphic forms and their connections to algebraic geometry. Her applied work develops spatial statistical models for sociodemographic risk assessment in public health crises, particularly during the COVID-19 pandemic, utilizing techniques like elastic net regression to analyze vaccination behavior and mortality patterns. Analysis of her recent publications reveals equal emphasis on deep theoretical number theory problems and urgent public health applications. The mathematical works explore structural properties of modular forms and representation theory, while epidemiological studies dissect complex interactions between political ideology, social vulnerability, and pandemic outcomes across U.S. populations. No specific scientific awards were documented in the provided materials. Information regarding graduate student advising and research grant funding remains unspecified in the available documentation. No dedicated research laboratories or specialized collaborative teams were mentioned in the source materials.

• Number Theory
• Automorphic Forms
• Representation Theory
• +3 more

Simon Wadsley is a Lecturer in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge's Faculty of Mathematics. His research focuses on algebraic structures, particularly in the realm of Iwasawa algebras, p-adic representation theory, and noncommutative geometry. He is affiliated with the Algebra research group and contributes to foundational work in D-modules on rigid analytic spaces and equivariant line bundles over p-adic spaces. Academic Position: Lecturer, DPMMS, University of Cambridge Research Group: Algebra Contact: S.J.Wadsley@dpmms.cam.ac.uk | Room C0.05 His research interests span prime ideals in Iwasawa algebras , p-adic analytic groups , and equivariant geometric structures . He explores connections between algebraic geometry and number theory, with notable contributions to the theory of D-modules in rigid analytic settings and the study of representations of p-adic Lie groups. Recent work includes investigations into global sections of line bundles on p-adic upper half planes and holonomicity properties of D-modules. Publications highlight advancements in p-adic analysis, including work on Kashiwara equivalences and weak holonomicity. His research also extends to categorical frameworks like PROPs for linear systems and foundational studies in noncommutative algebraic structures. Wadsley collaborates widely, with key contributions to Iwasawa theory and invariant ideals in noncommutative rings.

• Iwasawa Algebras
• Representation Theory
• Algebraic Geometry
• +5 more

Alexander S. Merkurjev is a Professor of Mathematics at the Department of Mathematics, University of California, Los Angeles (UCLA). He specializes in algebraic K-theory, Galois cohomology, quadratic forms, and cohomological invariants of algebraic groups. His work bridges algebraic geometry, number theory, and representation theory. Research interests include: algebraic groups, motivic cohomology, essential dimension, degenerate Massey products, and rationality problems of classifying spaces. He investigates questions related to Galois representations, invariants of algebraic structures, and geometric aspects of algebraic K-theory. Recent work focuses on Massey vanishing conjectures, cohomological invariants of spinor groups, and p-adic Galois representation theory. His 2025 papers address advanced topics in non-Abelian cohomology and lifting problems, while 2023-2024 publications explore fourfold Massey products and connective K-theory operations. Earlier contributions include foundational work on essential dimension and cohomological invariants of algebraic tori. His research has been published in leading mathematics journals and includes collaborations with top specialists in algebraic geometry and number theory. Notable results include the proof of Suslin's conjecture on reduced Whitehead groups and the establishment of cohomological frameworks for studying algebraic groups.

• Algebraic Groups
• Algebraic K-Theory
• Galois Cohomology
• +4 more