جست‌وجوی استاد و پژوهشگر

Davoud Cheraghi Homeمشاهده پروفایل

دانشیار

• Complex Analysis
• Dynamical Systems
• Geometric Analysis
• +۳ مورد دیگر

Dr Davoud Cheraghi Home is a Reader (Associate Professor) in Pure Mathematics at Imperial College London, affiliated with the Pure Analysis and PDEs and Geometry research groups. His research focuses on complex analysis and dynamical systems, particularly holomorphic maps, rigidity phenomena, and small divisors problems, bridging analysis, geometry, and combinatorics. He has organized numerous conferences and workshops, including events at Imperial College and the School of Mathematics in Tehran. Dr Cheraghi teaches advanced courses in geometric complex analysis, analysis, and dynamical systems at Imperial College, as well as at the University of Warwick and Stony Brook University. He has mentored PhD students and postdoctoral researchers, contributing significantly to the field through his publications and collaborations. His research interests encompass geometric analysis (quasi-conformal mappings, elliptic PDEs), renormalization operators, and low-dimensional analytic dynamics. Notable publications include studies on irrationally indifferent attractors, Siegel polynomials, and combinatorial rigidity. Dr Cheraghi’s work is supported by extensive teaching and mentorship activities, reflecting his commitment to advancing both research and education in pure mathematics.

Nathalie Wahlمشاهده پروفایل

استاد

• Algebraic Topology
• Mapping Class Groups
• Topological Field Theory
• +۷ مورد دیگر

Nathalie Wahl is a Professor at the Department of Mathematical Sciences, University of Copenhagen, and serves as the Center Director for the Copenhagen Centre for Geometry and Topology (GeoTop). Her research focuses on algebraic topology, particularly mapping class groups of surfaces and 3-manifolds, homological stability, topological field theory, and loop spaces. PhD from Oxford University (2001) Current leadership of GeoTop (since 2020) Her recent work explores homological stability across automorphism groups, string topology, and structured algebras. Key collaborations include Allen Hatcher, Craig Westerland, and Nancy Hingston. She has received prestigious awards such as the ERC Consolidator Grant and the Young Elite Researcher Award. ERC Consolidator Grant (2018-2023) Female Research Leader Scholarship (2009-2013) Marie Curie European Fellowship (2003-2004)

Melanie Matchett Woodمشاهده پروفایل

استاد

• Number Theory
• Arithmetic Statistics
• Arithmetic Geometry
• +۵ مورد دیگر

Melanie Matchett Wood is the William Caspar Graustein Professor of Mathematics at Harvard University. Her research spans number theory, arithmetic statistics, algebraic geometry, and probability theory, with a focus on distributions of class groups, Galois groups of unramified extensions, and random algebraic structures. She has been supported by prestigious awards including the Packard Fellowship, the NSF Waterman Award, and the MacArthur Fellowship. Her work connects number theory to topology through function field analogs, studying moduli spaces of curves and their statistical properties. She has made significant contributions to understanding the universality of random matrix cokernels and their applications to sandpile groups of graphs. Her editorial roles include the Journal of the American Mathematical Society and Algebra and Number Theory . Recent publications emphasize arithmetic topology, proving universality theorems for 3-manifold groups, and developing new heuristics for class group torsion. She organizes seminars on arithmetic statistics and topology-number theory interactions. Her teaching includes advanced courses like Algebraic Number Theory and Class Field Theory, with research supervision spanning PhD and undergraduate projects. Scientific Awards: Packard Fellowship for Science and Engineering National Science Foundation Waterman Award MacArthur Fellowship

Konstantin Ardakovمشاهده پروفایل

مدرس

• Algebraic geometry
• Noncommutative algebra
• Representation theory
• +۱ مورد دیگر

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.

Louis Esserمشاهده پروفایل

مدرس

• Algebraic Geometry
• Equivariant Birational Geometry
• Optimization in Algebraic Geometry

Louis Esser is an instructor in mathematics at Princeton University. He received his PhD from UCLA in 2023 under the supervision of Burt Totaro. Esser co-organizes the Princeton Algebraic Geometry Seminar and the Princeton Algebraic Geometry Preprint Seminar. His research focuses on algebraic geometry, specifically equivariant birational geometry and optimization problems. Esser teaches undergraduate mathematics courses including Algebra I (MAT345), Honors Linear Algebra (MAT217), Multivariable Calculus (MAT201), and Linear Algebra with Applications (MAT202). His publications primarily explore birational geometry, Fano varieties, hypersurfaces, automorphism groups, and singularities. Recent work shows strong emphasis on classification problems in algebraic geometry, minimal model program applications, and geometric structures with group symmetries. Collaborative projects frequently involve topics at the intersection of algebraic geometry, topology, and invariant theory.

Alexander Tumanovمشاهده پروفایل

استاد

• Several Complex Variables
• Differential Geometry
• Partial Differential Equations
• +۳ مورد دیگر

Professor Alexander Tumanov is a faculty member in the Department of Mathematics at the University of Illinois at Urbana-Champaign, affiliated with the College of Liberal Arts & Sciences. He holds the rank of Professor and has been active in research and teaching since at least 2000. His current teaching includes Math 220 Calculus in Fall 2025. Education & Affiliations: His academic career is deeply rooted at the University of Illinois, with no indications of former roles or retirement status. Research Interests: Tumanov specializes in Several Complex Variables, Differential Geometry, and Partial Differential Equations. His work explores topics such as CR mappings, stationary discs, pseudoholomorphic curves, symplectic geometry, and nonlinear PDEs. Notable contributions include studies on automorphism groups of bounded domains, boundary value problems, and applications of Gromov's methods in symplectic topology. Publications: His recent work (2025–2013) focuses on advanced topics like non-linear Lie groups, q-convex manifolds analysis, outer billiards dynamics, and symplectic non-squeezing in infinite dimensions. Earlier contributions include boundary regularity for elliptic equations and minimal energy configurations on spheres. Awards & Grants: No specific awards are listed in the provided materials, though his extensive publication record reflects sustained scholarly impact. No grants or advising data are explicitly mentioned. Labs & Teams: Tumanov collaborates extensively with researchers like A. Sukhov, L. Baracco, and B. Coupet, as evidenced by co-authored papers. His work intersects pure mathematics with geometric analysis and mathematical physics.

• Topology
• Algebra
• Mathematical Physics
• +۳ مورد دیگر

Florian Naef is an Assistant Professor in the School of Mathematics at Trinity College Dublin. His research spans topological and algebraic structures with applications to mathematical physics, including string topology, Poisson geometry, and homotopy theory. Publications emphasize formality theorems, torsion invariants, and quantization methods. Recurring themes include loop spaces, deformation quantization, and connections between differential geometry and algebraic topology.

• Number Theory
• Algebraic Geometry
• Modular Forms
• +۵ مورد دیگر

Dr. Helena Verrill is an Assistant Professor at the Department of Mathematics, University of Warwick, focusing on teaching and outreach. Her research interests span Number Theory, Algebraic Geometry, Combinatorial Game Theory, and the Mathematics of Origami, with applications in generative art. She actively mentors students through third-year essays, research projects, and outreach initiatives like the Royal Institute Masterclasses. Her research explores modular forms, computational algebra, and arithmetic geometry, with notable contributions to ℓ-adic representations and noncongruence cuspforms. She bridges pure mathematics with artistic expression through origami tessellations and fractal patterns. Notable works include studies on Fano plane automorphisms and Harter-Heighway dragon curves. Her publications span journals like the *Proceedings of the American Mathematical Society* and *Journal of Number Theory*, alongside creative outputs in *Generative Art* and *Bridges Conferences*. She maintains a personal homepage with resources for mathematical art and education.

Martín Hötzel Escardóمشاهده پروفایل

استاد

• Homotopy Type Theory
• Univalent Mathematics
• Martin-Löf Type Theory
• +۱۲ مورد دیگر

Martín Hötzel Escardó is a Professor of Theoretical Computer Science in the School of Computer Science at the University of Birmingham, UK. He has been a faculty member since 2000, following previous academic positions at Imperial College London, the University of Edinburgh, and the University of St Andrews. His research bridges theoretical computer science and pure mathematics, with a strong emphasis on foundational aspects of computation. His educational background includes a BSc and MSc from Universidade Federal do Rio Grande Sul (Brazil) and a PhD from Imperial College London (1997) under Michael B. Smyth. Escardó's research interests center on topology in computation , constructive mathematics , dependent and univalent type theory (including Homotopy Type Theory and Cubical Type Theory), domain theory , locale theory , and exact real-number computation . His work explores deep connections between logic, topology, and programming, often using functional languages like Haskell and Agda to formalize and experiment with theoretical ideas. He is particularly known for his discoveries on exhaustively searchable infinite sets and the topological nature of computability. The trend in his recent publications reflects a sustained focus on univalent foundations, constructive domain and order theory, game semantics with dependent types, and the logical structure of type universes. His work consistently advances the formalization and understanding of higher-type computation and constructive mathematics within modern type theories. He has no listed scientific awards in the provided text, but his influence is evident through his extensive publication record and software developments like TypeTopology. Escardó has advised several students and collaborators, though specific names are not listed. He has been involved in significant research projects, particularly in the formalization of mathematics in type theory and the semantics of programming languages. His work often involves developing Agda libraries to formalize new mathematical results constructively. He leads and contributes to a vibrant research group in theoretical computer science at Birmingham, with a focus on logic, semantics, and type theory. His public research blog, lecture notes, and open-source Agda code (e.g., TypeTopology, HoTT-UF-in-Agda) serve as important resources for the community.

• Representation Theory
• Lie Groups
• p-adic Groups
• +۵ مورد دیگر

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.

Juanita Duque-Roseroمشاهده پروفایل

عضو هیئت علمی

• Computational Number Theory
• Arithmetic Geometry
• Modular Curves
• +۴ مورد دیگر

Juanita Duque-Rosero is a Research Assistant Professor at Boston University, specializing in computational number theory and arithmetic geometry. She collaborates with Jennifer Balakrishnan on explicit Chabauty methods and triangular modular curves. Her research focuses on rational points on curves, modular curves, and p-adic heights. Education: PhD from Dartmouth College (2023, advised by John Voight), Masters from Colorado State University (2019, advised by Rachel Pries), and undergraduate degree from Universidad de los Andes. Research interests include arithmetic properties of curves, geometric quadratic Chabauty, and computational aspects of modular forms. She has contributed to databases of Hilbert modular surfaces and studies of Artin-Schreier curves. Her recent articles explore invariants of curves, p-adic heights, and geometric methods in number theory. Talks include presentations at CIRM, IPAM, and Texas A&M. Teaching includes courses like Modern Algebra and Graph Theory at Boston University, and calculus courses at Dartmouth and Colorado State. She mentors students in algebraic geometry and number theory through directed reading programs. She advocates for equitable mathematics education through Federico Ardila’s axioms and participates in outreach activities. A creative hobby is mathematical origami, leading a club at Colorado State University.

Richard E. Borcherdsمشاهده پروفایل

استاد

• Algebra
• Lie algebras
• Vertex algebras
• +۶ مورد دیگر

Richard E. Borcherds is a Professor in the Department of Mathematics at the University of California, Berkeley , appointed in 1993. His research spans algebra, vertex algebras, and automorphic forms, with deep connections to theoretical physics and number theory.

• Shimura Varieties
• Flag varieties and Grassmannians
• Representations of p-adic groups
• +۳ مورد دیگر

Thomas J. Haines is a Professor in the Department of Mathematics at the University of Maryland, College Park. His academic work centers on advanced topics in number theory and algebraic geometry, with significant contributions to the Langlands program and related fields. He maintains an active research profile with recent publications spanning geometric representation theory and arithmetic geometry. Research Focus: His primary interests include Shimura varieties, flag varieties and Grassmannians for groups and loop groups, representations of p-adic groups, and the Langlands program. These areas intersect with cutting-edge developments in arithmetic geometry and automorphic forms, particularly in the context of local models and geometric Satake theory. The analysis of his recent publications reveals a strong emphasis on geometric structures underlying number-theoretic objects. Key themes include the study of singularities in local models, normality properties of Schubert varieties, and combinatorial models for representation-theoretic constructions. His work frequently bridges abstract algebraic geometry with concrete arithmetic applications. Teaching Responsibilities: Currently instructing Math 406 (Introduction to Number Theory) and Math 636 (Representation Theory) for Fall 2024. His course materials extend to graduate-level topics including commutative algebra and Hecke algebras, reflecting his research expertise. Haines collaborates extensively with leading mathematicians including Timo Richarz, Joao Lourenco, and Ulrich Goertz. His editorial work includes co-editing the 2020 Cambridge University Press volume Shimura Varieties in the London Mathematical Society Lecture Note Series. While no explicit student lists or award mentions appear in available records, his sustained publication record since the early 2000s demonstrates significant scholarly impact.

Charles M Harrisمشاهده پروفایل

مدرس

• Computability Theory
• Computable Combinatorics
• Reverse Mathematics
• +۴ مورد دیگر

Charles M Harris is a Lecturer in Pure Mathematics at the School of Mathematics, University of Bristol. His academic training includes a BSc from the University of Bristol, an MSc from King's College London, a DEA from Paris, and a PhD from the University of Leeds. Education: BSc (Bristol), MSc (King's College London), DEA (Paris), PhD (Leeds) Harris specializes in Computability Theory, with a focus on Computable Combinatorics and Reverse Mathematics. His research explores enumeration reducibility, automorphism structures of linear orderings, jump inversion, and noncuppable enumeration degrees. Key contributions include work on maximal block functions, symmetric enumeration degrees, and polynomial-time bounded reducibility. His publications (15 most recent) span topics in computable orderings, enumeration degree theory, and algorithmic combinatorics. Articles often intersect with mathematical logic and recursion theory, addressing foundational questions about computability and complexity.

Don Zagierمشاهده پروفایل

استاد

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

Don Zagier is a distinguished mathematician holding positions as Scientific Member and former Director at the Max Planck Institute for Mathematics in Bonn. He has been a Professor at the University of Bonn, University of Maryland, Kyushu University, University of Utrecht, and Collège de France. His work bridges number theory, algebraic geometry, topology, and mathematical physics. Born in 1951, he studied at MIT (1966–1968), earned a D.Phil. from Oxford (1971), and completed his habilitation at Bonn (1975). He has held roles in the Sonderforschungsbereich (SFB) Theoretische Mathematik, served as ICTP Distinguished Staff Associate since 2014, and is an Honorary Member of the London Mathematical Society (2019). Research interests include modular forms, zeta functions, quantum invariants, and algebraic geometry. Notable works include studies on the Birch-Swinnerton-Dyer conjecture, polylogarithms, and the theory of Jacobi forms. His contributions span over 200 publications, including foundational texts like Zetafunktionen und quadratische Körper (1981) and co-edited volumes on modular forms. His awards include the Carus Prize (1984), Frank Nelson Cole Prize (1987), and Karl Georg Christian von Staudt Prize (2001). Research trends in his articles focus on modular forms, knot theory, quantum topology, and the interplay between number theory and geometry. Grants and collaborations are extensive, though specifics remain unspecified. He leads research at the MPI and contributes to global mathematical communities through educational initiatives and editorial roles in journals like Communications in Number Theory and Physics .