جست‌وجوی استاد و پژوهشگر

Toshiyuki KOBAYASHIمشاهده پروفایل

استاد

• Lie Theory
• Unitary Representation Theory
• Non-Commutative Harmonic Analysis
• +۱۱ مورد دیگر

Toshiyuki Kobayashi is a Professor at the Graduate School of Mathematical Sciences, The University of Tokyo. His research focuses on Lie theory , unitary representation theory , non-commutative harmonic analysis , and discontinuous groups . He has co-authored foundational works on minimal representations and symmetry breaking operators, and serves as vice director of the French-Japanese Laboratory of Mathematics and its Interactions (FJLMI). Academic service includes editor roles for Japanese Journal of Mathematics , International Mathematics Research Notices , and the Takagi Lectures series. Research Interests : Visible actions on symmetric spaces and complex manifolds Spectral analysis on non-Riemannian locally symmetric spaces Branching problems in representation theory Conformal geometry and differential operators Applications to special functions and quantum theory Scientific Contributions : Developed a framework for symmetry breaking operators in indefinite orthogonal groups Unified geometric and representation-theoretic approaches to minimal representations Provided criteria for compact quotients of homogeneous spaces Generalized Cartan decomposition via visible actions Awards : Festschrift (2025) Doctorat Honoris Causa, University of Reims (2022) AMS Fellow (2017) Humboldt Research Award (2008) Takebe Prize (1997) Students and Collaborators : Advised over 40 students including Kazuki Kannaka, Víctor Pérez-Valdés, and Koichi Tojo Collaborators include Fanny Kassel, Gen Mano, and Bent Ørsted

• Mathematical Physics
• Clifford Algebras
• Yang-Mills Equations
• +۴ مورد دیگر

Dmitry Shirokov is a Professor at the Department of Mathematics within the Faculty of Economic Sciences at the National Research University Higher School of Economics (HSE) in Moscow. He concurrently serves as a Senior Researcher at the M.S. Pinsker Laboratory №1 of the Institute for Information Transmission Problems, Russian Academy of Sciences (IITP RAS). He heads the Laboratory of Geometric Algebra and Applications at HSE and leads multiple research groups including 'Clifford Algebras and Applications' and 'Algebraic-Geometric Methods in Applied Sciences'. Shirokov's research focuses on mathematical physics, Clifford algebras, Yang-Mills equations, Dirac equations, and geometric algebras. His work bridges theoretical mathematics with applications in quantum field theory and particle physics, exploring algebraic structures like spinor groups and multivectors in pseudo-Euclidean spaces. His publications demonstrate strong trends in Clifford algebra generalizations, geometric approaches to quantum equations, and computational methods in algebra. Recent work shows increasing integration of geometric algebra with machine learning architectures. Scientific Awards: Best Teacher of HSE (2016-2024) Winner of Best Russian-Language Scientific Works Competition in Mathematics (2022, 2023) Grants and Leadership: RSF Grants: 18-71-00010, 21-71-00043, 23-71-10028 RFBR Grants: 16-31-00374, 20-11-0009 Presidential Grant: MK-404.2020.1 HSE Scientific Foundation Grants: 17-01-0009, 20-01-003, 22-00-001, 24-00-001 Leads 'Mirror Laboratories' project with North-Eastern Federal University He directs the Laboratory of Geometric Algebra and Applications at HSE and organizes regular seminars on Clifford algebras. Serves on editorial boards for Advances in Applied Clifford Algebras and Journal of Geometry and Symmetry in Physics .

Armando Martinoمشاهده پروفایل

استاد

• Geometric Group Theory
• Actions on Trees and Bass-Serre Theory
• Automorphisms of Free Groups
• +۲ مورد دیگر

Professor Armando Martino is a faculty member at the University of Southampton's School of Mathematics, where he serves as Director of Student Engagement for Mathematics. He chairs the Student Staff Liaison Committee (Maths) and acts as NSS champion. Martino joined Southampton in 2008 after working as a postdoctoral fellow under the Ramon y Cajal scheme in Barcelona. Professor Martino's research focuses on Geometric Group Theory with particular emphasis on: Actions on Trees and Bass-Serre Theory Automorphisms of Free Groups Deformation Spaces Probabilistic Methods for Infinite Discrete Groups His recent publications demonstrate a consistent focus on the intersection of group theory, geometry, and topology. Martino has made significant contributions to understanding automorphisms of free groups, particularly through the lens of geometric structures and tree actions. His work often combines algebraic techniques with geometric intuition to solve complex problems in group theory. Professor Martino currently teaches Galois Theory (MATH3086) and Linear Algebra 2 (MATH1049), and supervises several PhD students including Sara Jayne Luder, Harry Margaret John Iveson, and Luke Waite. He has served as principal investigator on research projects funded by the Leverhulme Trust and EPSRC, including work on "The Lipschitz metric and the conjugacy problem for free groups" and the "Minasyan EPSRC Workshop Recent Advances in Geometric Theory."

Yiwen Dingمشاهده پروفایل

دانشیار

• Number Theory
• Representation Theory
• p-adic Langlands Programme
• +۱ مورد دیگر

Yiwen Ding is an Associate Professor at the Beijing International Center for Mathematical Research (BICMR), Peking University. His research focuses on advanced topics in pure mathematics, particularly the intersection of number theory and representation theory. He specializes in the p-adic Langlands program, exploring its arithmetic applications through innovative approaches to Galois representations and automorphic forms. Research Interests: Dr. Ding's work centers on: Number Theory : Especially p-adic aspects and arithmetic applications Representation Theory : With emphasis on locally analytic representations of p-adic groups p-adic Langlands Programme : Bridging automorphic forms and Galois representations L-invariants & Local-Global Compatibility : Fundamental constructs in modern arithmetic geometry His publications demonstrate consistent focus on p-adic methods in representation theory, featuring advancements in: L-invariants, locally analytic representations, deformation theory, and the geometric Langlands correspondence. Recent work (2023-2024) shows deepened exploration of crystabelline representations and weight structures in p-adic contexts. No scientific awards, student advisees, or grant information are mentioned in available materials.

• Group Representations
• Automorphic Forms

Joe Repka is a Professor in the Department of Mathematics at the University of Toronto's Faculty of Arts and Science. His research focuses on Group Representations and Automorphic Forms . Email: repka@math.toronto.edu

Ila Varmaمشاهده پروفایل

دانشیار

• Arithmetic statistics
• Asymptotics of class groups
• Number fields
• +۴ مورد دیگر

Ila Varma is an Associate Professor in the Department of Mathematics at the University of Toronto's Faculty of Arts and Science. She maintains her office in Room 6108 of the Bahen Centre and can be contacted at ila@math.toronto.edu. Previously, she served as an Assistant Professor at UC San Diego and was an NSF Postdoctoral Fellow at both Columbia University and Harvard University. Dr. Varma received her PhD in September 2015 from Princeton University under the advisement of Manjul Bhargava and Richard Taylor. Her doctoral work established the foundation for her ongoing research in arithmetic statistics and number theory. Her primary research interests focus on arithmetic statistics, particularly the asymptotics of class groups and number fields, Galois representations, and p-adic automorphic forms. She has increasingly incorporated social justice perspectives into her academic work through her concept of 'Rehumanizing mathematics' and active participation in the UofT Mathematics Department's Equity Forum. Her publications reveal a consistent trajectory of advancing our understanding of class group structures across various field extensions. Dr. Varma's scholarly contributions have been recognized through prestigious awards including the Sloan Research Fellowship (2020-present), the Connaught Research Fund (2021-2022), and her prior status as a Fulbright Scholar to the Netherlands and NSF Postdoctoral Fellow. Sloan Research Fellow (2020-present) Connaught Research Fund (2021-2022) Fulbright Scholar to the Netherlands NSF Postdoctoral Fellow As an educator, Dr. Varma has taught advanced courses including Class Field Theory, Algebraic Number Theory, and Algebra. She demonstrates commitment to inclusive pedagogy through her attention to diverse learning styles and accommodation needs. Her recent course MAT1210HF on Class Field Theory incorporated community-building elements through connections to the Junior Number Theory Seminar. Dr. Varma has also been actively involved in academic justice initiatives, notably signing the US Campaign for the Academic and Cultural Boycott of Israel and participating in the 'Cops off Campus' movement.

• Noncommutative Noetherian rings
• Modules
• Differential operators
• +۹ مورد دیگر

Professor Vladimir Bavula is a faculty member at the University of Sheffield within the School of Mathematical and Physical Sciences . His research focuses on noncommutative Noetherian rings, modules, differential operators, D-modules, and dimension theory (Krull, global homological, Gelfand-Kirillov, filter dimensions). He also investigates graded and filtered algebras, automorphism groups, and properties of simple infinite-dimensional noncommutative algebras. His recent publications address localizations of rings and modules, Δ-locally nilpotent algebras, prime spectra of quantum Weyl algebras, and the Jacobian Conjecture. His work spans topics like Ore extensions, singularity theory, and homological dimensions. Professor Bavula teaches advanced mathematics modules (MAS333, MAS438) and leads research in the Pure Mathematics cluster. He has held grants related to the Dixmier Conjecture and automorphisms of polynomial integro-differential operators. Contact: Office J15, Hicks Building, Hounsfield Road, Sheffield S3 7RH, UK.

Catarina Carvalhoمشاهده پروفایل

پژوهشگر

• abstract algebra
• theoretical computer science
• mathematics education
• +۳ مورد دیگر

Catarina Carvalho is a mathematician at the University of Hertfordshire, affiliated with the School of Physics, Engineering & Computer Science and the Department of Physics, Astronomy and Mathematics. She joined UH in 2011 after positions at the University of Lisbon, Simon Fraser University, and Durham University. Her roles include Admissions Tutor for postgraduate taught courses and Collaborative Partnership Leader for Data Science at PSB Singapore and Sri Lanka Telecom. She serves as the London Mathematical Society representative and contributes to the university's "diversifying and decolonising" group, producing educational resources and a podcast. PhD in Mathematics, The University of St Andrews (2006) MSc with Distinction in Mathematics, The University of St Andrews (2002) Licenciatura in Mathematics, Faculdade de Ciências da Universidade de Lisboa (2001) Her research spans abstract algebra , focusing on combinatorial and computational algebra, and combinatorics , particularly graph homomorphisms. She explores the interplay between algebra, combinatorics, and theoretical computer science , including computational complexity and quantified constraints. Recent work addresses polynomial generated powers, collapsibility, and switchability in the algebraic formulation of quantified constraint satisfaction problems. Key article trends include quantified constraints , algebraic methods , and computational complexity , with subfields like PGP properties, digraph classes, and lattice structures. Her collaborations extend to institutions in the UK, Canada, and Portugal. Travel Grant from The London Mathematical Society (2014, 2013) Project funding from Santander UK (2015) and EPSRC (via collaborative projects) Catarina leads projects such as "Algebraic Methods for Quantified Constraints" (2024–2026) and "Sharpening PGP for QCSPs" (2021–2022). She contributes to initiatives diversifying and decolonising mathematics curricula, with a focus on inclusivity and cultural relevance in education.

Paul Lescotمشاهده پروفایل

استاد

• Group Theory
• Stochastic Analysis
• Partial Differential Equations
• +۲ مورد دیگر

Paul Lescot is a Professor at the University of Rouen Normandy, affiliated with the Raphaël Salem Mathematics Laboratory (UMR 6085 CNRS-University of Rouen Normandy). His office is located at M.2.24, floor 2, University Avenue, BP.12, F76801 Saint-Étienne-du-Rouvray, with contact email paul.lescot@univ-rouen.fr. His research spans Group Theory, Stochastic Analysis, Partial Differential Equations, Algebra, and Mathematical Finance. Early work (1980s-1990s) focused on finite groups, including commutativity degrees, Thompson factorization, and CA-groups. From the 1990s onward, he expanded into stochastic analysis, studying Wiener functionals, fractional derivatives, and stochastic PDEs. Recent work (2010s-2020s) emphasizes symmetry analysis of PDEs in finance (Black-Scholes equation, interest rate models), Bernstein processes, and absolute algebra. Analysis of his 15 most recent publications reveals a clear evolution: Group Theory foundations transitioned into Stochastic Analysis applications, with increasing focus on Mathematical Finance (40% of recent works) and Algebra (30%). Key trends include symmetry methods for financial PDEs, connections between stochastic processes and quantum mechanics, and structural algebraic theories like absolute algebra and semiring ideals. Dr. Lescot has maintained active collaborations with prominent researchers including Michael Röckner, Jean-Claude Zambrini, Vladimir Bogachev, and Laurène Valade. His work appears in high-impact journals such as Journal of Pure and Applied Algebra, Communications in Partial Differential Equations, and Nagoya Mathematical Journal. Based at the Raphaël Salem Mathematics Laboratory, he continues to contribute to both pure mathematics (group theory, algebra) and applied fields (stochastic finance, mathematical physics), with recent conference presentations including Verona (March 2019) and 2016.

Slade Sandersonمشاهده پروفایل

پژوهشگر

• Ergodic Theory
• Number Theory
• Dynamical Systems
• +۳ مورد دیگر

Slade Sanderson is a researcher at Utrecht University's Faculty of Science, affiliated with the Mathematical Modeling department. His work bridges mathematics and computational theory, focusing on ergodic theory, number theory, and dynamical systems. As a PhD candidate, he has contributed to studies involving continued fractions, translation surfaces, and lattice surfaces. PhD in Mathematics (2025), Utrecht University MSc in Mathematics (2020), Oregon State University BSc in Mathematics (2018), Pepperdine University Research interests include continued fractions , translation surfaces , lattice surfaces , and ergodic theory . His publications explore topics like the matching phenomenon in symmetric golden maps and canonical translation surfaces for Veech group computations. Articles highlight collaborations with researchers such as Karma Dajani and Cor Kraaikamp. Recent activities include invited talks at international conferences and organizing the Numeration 2024 event. He has presented posters and papers on metrical theories of continued fractions and digit frequency analysis via matching techniques. While no formal awards are listed, his work has garnered attention in academic circles and platforms like Mendeley.

• Number Theory
• Algebraic Geometry
• p-adic Analysis
• +۳ مورد دیگر

Prof. Dr. Michael Spieß is a Professor in the Faculty of Mathematics at the University of Bielefeld, Germany. His research focuses on advanced topics in number theory and algebraic geometry, particularly in the areas of p-adic analysis, automorphic forms, and arithmetic geometry. He holds office in room UHG V5-211 and can be reached at mspiess@math.uni-bielefeld.de or by phone at +49 521 106-5030. Spieß's research interests center around p-adic L-functions, L-invariants, cohomology of arithmetic groups, and Shimura varieties. His work bridges abstract algebraic concepts with concrete number-theoretic applications, particularly through the study of special values of L-functions and their connections to arithmetic geometry. He has made significant contributions to understanding the exceptional zero phenomenon in p-adic L-functions and the cohomological construction of Gross-Stark units. His publication record shows a consistent focus on the analytic properties of L-functions, with particular emphasis on their p-adic analogues. The articles demonstrate a progression from foundational work on Heegner cycles and monodromy modules (2003) to more recent investigations of the characteristic polynomial of the Gross regulator matrix (2019), showing deepening understanding of the connections between cohomology, automorphic forms, and special values of L-functions. Spieß is currently leading two major subprojects within the Collaborative Research Center TRR 358 "Integral Structures in Geometry and Representation Theory" funded by the German Research Foundation (2023-2026): B05 on "p-adic L-functions, L-invariants and the cohomology of arithmetic groups" and B06 on "Equivariant cohomology and Shimura varieties." These projects aim to deepen our understanding of the Birch and Swinnerton-Dyer conjecture and its p-adic analogues through advanced cohomological methods and the study of automorphic forms. As an educator, Spieß teaches advanced courses in algebra and number theory, including Advanced Algebra and Number Theory, Automorphic Forms, Introduction to Modular Forms, and Algebraic Geometry. He serves on the Doctoral Committee for mathematics PhD students and the Faculty Conference as deputy to Henning Krause.

• String Theory
• Algebraic Geometry
• Modular Forms
• +۳ مورد دیگر

Jan Manschot is an Associate Professor in the School of Mathematics at Trinity College Dublin, specializing in the intersection of mathematics and theoretical physics. His work bridges advanced mathematical frameworks with fundamental questions in quantum gravity and particle physics. His core research spans String Theory, Algebraic Geometry, Modular Forms, and Black Hole Physics, with emphasis on mathematical structures underlying supersymmetric gauge theories and Calabi-Yau compactifications. He investigates Donaldson-Witten invariants, BPS state counting, and modular properties of partition functions, revealing deep connections between automorphic forms and quantum field theory dynamics. Analysis of his 2021-2024 publications shows consistent focus on string amplitudes via modular integrals, black hole microstate statistics through indefinite theta functions, and topological twists in supersymmetric QCD. His methodology combines path integral techniques, algebraic geometry of moduli spaces, and computational approaches to solve non-perturbative problems in quantum gravity. No scientific awards were documented in the provided sources. Information regarding academic advising, grant funding, or collaborative teams remains unspecified in available materials, though his research implicitly involves cross-disciplinary engagement with theoretical physics communities.

• Algebraic Geometry
• Cohomology
• Representation Theory
• +۲ مورد دیگر

Dr. Yingying Wang is a researcher at the Faculty of Mathematics of the University of Duisburg-Essen . Her work focuses on algebraic geometry and representation theory, particularly the cohomology and geometric structures of Deligne-Lusztig varieties. Her research explores the interplay between geometric constructions and cohomological properties in arithmetic contexts, with recent publications addressing compactification techniques for Deligne-Lusztig varieties and their applications to GL_n. Keywords: Algebraic Geometry, Cohomology, Deligne-Lusztig Theory, Representation Theory, Arithmetic Geometry

• Number Theory
• Modular Forms
• p-adic Automorphic Forms
• +۷ مورد دیگر

Xiaoyu Zhang is a Research Assistant in Prof. Massimo Bertolini's group at the Faculty of Mathematics, University of Duisburg-Essen (ESAGA), specializing in number theory and arithmetic geometry. He obtained his PhD in 2019 from Université Paris 13 under Jacques Tilouine. Education: PhD (2019), Université Paris 13, Supervisor: Jacques Tilouine His research focuses on p-adic automorphic forms, modularity lifting theorems, theta correspondence, and Iwasawa theory , with significant contributions to Selmer groups, Bloch-Kato conjectures, and special values of L-functions. His work bridges algebraic geometry and number theory through advanced techniques in Galois representations and automorphic forms. His publication trends reveal a sustained investigation into modular forms and their arithmetic applications, particularly examining p-adic properties of theta lifts, convergence of indefinite series, and structural theorems for orthogonal/symplectic groups. Recent work emphasizes connections between geometric constructions (log abelian varieties, Hecke orbits) and deep conjectures in Iwasawa theory. Teaching & Mentoring: Regularly teaches advanced courses including Modular Forms (Parts 1-2), Master Seminars on Number Theory (Euler systems, elliptic curves, modularity theorems) Has led 15+ courses/seminars since 2019 covering automorphic forms, Galois representations, and arithmetic geometry He is actively involved in the ESAGA research group, collaborating on projects related to the Langlands program and arithmetic of Shimura varieties. Zhang is currently on the academic job market for Fall 2025 positions.

Yajnaseni Duttaمشاهده پروفایل

استادیار

• Birational Geometry
• Hyperkähler Geometry
• Generic Vanishing Theory
• +۴ مورد دیگر

Yajnaseni Dutta is a tenured Assistant Professor at the Mathematical Institute of Leiden University's Faculty of Science. Previously, she was a Postdoc/associate member at the Hausdorff Center for Mathematics and the University of Bonn. Her doctoral research focused on effective problems in algebraic geometry. Research Interests: Her work spans birational geometry, hyperkähler geometry, generic vanishing theory, Hodge modules, and Hodge theory. She investigates moduli spaces, fibrations, and cohomological properties of algebraic varieties, with particular emphasis on K3 surfaces and cubic fourfolds. Publications: Her recent articles focus on geometric structures of hyperkähler manifolds, intermediate Jacobians, Hodge ideals, and Albanese maps. Common themes include birational transformations, cohomological vanishing theorems, and density properties of moduli spaces. Advising: Currently supervising PhD candidate Céline Fietz (co-advised with Evgeny Shinder), Master's student Jorge Macein Sanz (co-advised with Emma Brakkee), and bachelor student Lucio Verrijzer. Academic Activities: Organizes conferences including the Lorentz workshop (2025) on K3 surfaces and the Hodge theory conference honoring Chris Peters (2024). Leads the Algebraic Geometry and Number Theory CAKE Seminar and coordinates multiple reading groups on Hodge theory and singularity theory.