جست‌وجوی استاد و پژوهشگر

Aise Johan de Jongمشاهده پروفایل

استاد

• Algebraic Geometry
• Arithmetic Geometry
• Stacks Theory
• +۴ مورد دیگر

Aise Johan de Jong is a Professor in the Department of Mathematics at Columbia University, where he teaches courses including representations of finite groups and organizes the algebraic geometry seminar. He is a leading figure in algebraic geometry with a particular focus on stacks theory and arithmetic aspects of algebraic varieties. Institution: Columbia University, Department of Mathematics Research Focus: Algebraic stacks, arithmetic geometry, moduli spaces Major Project: The Stacks Project (open-source collaborative textbook) De Jong's research primarily centers on algebraic stacks, arithmetic geometry, and the foundations of algebraic geometry. His work bridges abstract theoretical frameworks with concrete computational aspects, particularly in positive characteristic. He has made significant contributions to understanding Brauer groups, period-index problems, and the geometry of moduli spaces. His research often connects number theory with geometric structures, exploring how arithmetic properties manifest in geometric settings. His publication record shows a consistent focus on fundamental structures in algebraic geometry, with particular emphasis on stacks theory (evident in The Stacks Project), Brauer groups, rational connectivity, and arithmetic properties of algebraic varieties. The trajectory of his work demonstrates increasing sophistication in handling complex geometric structures while maintaining connections to arithmetic questions. His most recent work continues to explore the interplay between algebraic geometry and number theory, particularly through the lens of stacks and moduli spaces. De Jong actively mentors graduate students, with numerous descendants listed in the Mathematics Genealogy Project. His academic lineage includes researchers working across various subfields of algebraic geometry. He has organized multiple conferences including "Moduli spaces and moduli stacks" (2012) and "Spaces of curves and their interaction with diophantine problems" (2009), demonstrating his leadership in the field. He leads The Stacks Project, a major collaborative open-source initiative that has become an essential reference for algebraic geometers worldwide. This project provides comprehensive foundations for algebraic stacks and related concepts, with regular updates and community contributions. De Jong also maintains the Stacks Project Blog where he discusses mathematical topics related to the project and shares updates.

• Representation Theory
• Finite Dimensional Algebras
• Algebraic Combinatorics
• +۳ مورد دیگر

Kay Jin Lim serves as Senior Lecturer and Director of the MSc (Analytics) program at Nanyang Technological University's School of Physical & Mathematical Sciences, where he contributes significantly to both academic leadership and mathematical research within the Division of Mathematical Sciences. His educational foundation includes a B.Sc. (2005), M.Sc. (2007), and Ph.D. (2009) from the National University of Singapore, followed by doctoral research at the University of Aberdeen under David John Benson's supervision. Lim's research centers on representation theory of finite dimensional algebras, with deep connections to algebraic combinatorics and algebraic geometry. His work explores modular representation theory of symmetric groups, Specht modules, and Lie modules, emphasizing combinatorial structures and geometric interpretations in positive characteristic settings. This specialized focus has established him as a contributor to advanced algebraic frameworks. Analysis of his publication trajectory (2013-2025) reveals consistent advancement in understanding module complexities, rank varieties, and symmetric group representations, with increasing emphasis on interdisciplinary connections between algebraic combinatorics and geometric methods. His collaborative approach with international researchers like Karin Erdmann and David Benson demonstrates engagement with cutting-edge developments in the field. Scientific awards: No awards, fellowships, or major prizes are documented in the available information. Lim maintains an active supervisory role with four doctoral students: Yu Jiang (graduated May 5, 2021), Jialin Wang (graduated March 31, 2024), and current candidates Kua Hao Yan Manzu and Chen Siyuan. His teaching portfolio spans foundational to advanced algebra courses including MH2220 Algebra I, MH3220 Algebra II, and specialized topics in Homological Algebra, reflecting his commitment to mathematical education at multiple levels. He operates within NTU's vibrant mathematical research ecosystem, maintaining significant collaborations with leading algebraists globally while directing the MSc (Analytics) program to integrate theoretical mathematics with practical analytical applications.

• Pure Mathematics
• Group Theory
• Algebraic Combinatorics
• +۴ مورد دیگر

Professor Martin Liebeck is a Professor of Pure Mathematics and Head of the Pure Mathematics Section at the Department of Mathematics, Imperial College London. He is affiliated with the Algebra and Algebraic Combinatorics research groups and is part of the Mathematics research and teaching staff within the Faculty of Natural Sciences. His research interests span Pure Mathematics, with a focus on group theory, algebraic combinatorics, Lie groups, and representation theory. His work often involves the structure and properties of finite simple groups, algebraic groups, and their applications to permutation groups and character theory. Recent publications explore topics such as the actions of simple groups, unipotent classes in algebraic groups, character ratios, and the classification of permutation groups. His work frequently intersects with combinatorial and algebraic structures, with implications for both theoretical and applied mathematics. Professor Liebeck’s contributions include foundational studies on group generation, covering numbers, and character bounds, reflecting his deep engagement with the interplay between algebraic structures and combinatorial problems. His research has been published in leading mathematics journals, and he maintains an active academic profile through his personal webpage at http://www.ma.ic.ac.uk/~mwl/ .

• Representation Theory
• Tensor Categories
• Lie Algebras
• +۴ مورد دیگر

Pavel Etingof is Professor of Mathematics at the Massachusetts Institute of Technology (MIT), Department of Mathematics, where he has been a distinguished faculty member for many years. He serves as the Chief Research Adviser of MIT-PRIMES, an all-year high school math research program that provides exceptional research opportunities for talented high school students. Additionally, he holds the prestigious position of Editor-in-Chief of Selecta Mathematica. Professor Etingof's research spans multiple advanced areas of pure mathematics with a particular focus on representation theory, tensor categories, Lie algebras, Hecke algebras, and algebraic structures. His work consistently bridges algebra, geometry, and mathematical physics, revealing deep connections between abstract algebraic structures and physical phenomena. His research has evolved to increasingly explore tensor categories in positive characteristic, connections between representation theory and fractal structures, and applications to quantum field theory. His recent publications (2021-2025) demonstrate continued productivity and innovation, with numerous papers on tensor categories in various characteristics, representation theory of Lie groups, and connections to mathematical physics. These works show sophisticated exploration of representation theory in prime characteristic, novel applications to quantum field theory, and deep investigations into the structure of tensor categories. Editor-in-Chief of Selecta Mathematica Chief Research Adviser of MIT-PRIMES Professor Etingof has mentored numerous Ph.D. students at MIT and other institutions, establishing a significant mathematical genealogy in representation theory. His teaching includes advanced courses on algebraic groups, Lie theory, representation theory, and specialized topics. He has also co-organized many student seminars on cutting-edge mathematical topics including Deligne categories, symplectic reflection algebras, quantum cohomology, and double affine Hecke algebras, fostering collaborative research environments for students and colleagues.

Katrin Tentمشاهده پروفایل

استاد

• Model theory
• Group theory
• Geometry
• +۴ مورد دیگر

Professor Katrin Tent is a distinguished mathematician specializing in mathematical logic at the University of Münster, where she holds a professorship in the Faculty of Mathematics and Computer Science within the Institute for Mathematical Logic and Foundations Research. She is an active researcher in Mathematics Münster, an investigator in CRC 1442 Geometry: Deformations and Rigidity, and contributes to multiple research projects including Topics in Mathematics Münster T3: Models and universes, T4: Groups and actions, and T8: Random discrete structures and their limits. PhD in Linguistics, Christian-Albrechts-Universität zu Kiel (1988) Diplom in Mathematics, Christian-Albrechts-Universität zu Kiel (1989) PhD in Mathematics, University of Notre Dame (1994) Habilitation, "Model theory of groups and BN-pairs" (2000) Professor Tent's research bridges model theory, group theory, and geometry, with particular focus on finite Morley rank structures, BN-pairs, and sharply multiply transitive groups. Her work often combines methods from these areas to prove unexpected results, either constructing groups or incidence geometries with surprising model theoretic properties or using model theory to construct new and interesting geometries or groups. Her recent publications reveal a consistent trajectory connecting model theory with group-theoretic structures. She has made significant contributions to understanding sharply 2- and 3-transitive groups, finite Morley rank geometries, and the model theory of generalized polygons. Her work demonstrates how model-theoretic techniques can solve deep problems in group theory and geometry, particularly through the study of BN-pairs and incidence structures. DFG Research Fellowship (1996-1998) Bayerischer Habilitationsförderpreis (1998-2001) Heisenberg-Stipendium (2001-2004) ERC Consolidator Grants expert panel (2016, 2018) Elected to DFG Senate (2019) Professor Tent leads an active research group with current members including Marco Amelio, Dr. Benjamin Brück, Anna Cascioli, Lukas Jonuska, Silke Meissner, Zahra Mohammadi Khangheshlaghi, and Dr. Sam Shepherd. Her former research group members include Dr. Simon Andre, Dr. Isabel Müller, and Dr. Tim Clausen, among others. Her supervisory work spans both theoretical foundations and specific applications in geometric group theory and model theory. Her research group operates within the Institute for Mathematical Logic and Foundations Research at the University of Münster, collaborating closely with other researchers in the Mathematics Münster cluster. The group participates in various projects including CRC 1442 - C04: Group theoretic aspects of negative curvature, contributing to the vibrant mathematical research environment at one of Germany's leading mathematics institutions.

• Geometric Group Theory
• Discrete Groups
• Metric Geometry
• +۶ مورد دیگر

Goulnara Arzhantseva is a full Professor at the Department of Mathematics within the Faculty of Mathematics at the University of Vienna. With an active research career spanning over a decade, she has established herself as a prominent figure in geometric group theory and related fields. Her work demonstrates continuous scholarly output with publications appearing consistently from 2011 through 2024. Professor Arzhantseva's research focuses primarily on geometric group theory, with particular emphasis on discrete groups, metric geometry, approximation properties of groups, small cancellation theory, expanders, and sofic groups. Her work bridges pure mathematics with applications in metric geometry and functional analysis. The breadth of her research is evident in her collaborations with numerous mathematicians across different institutions and countries. Her publication record shows a clear trajectory of increasingly sophisticated work in geometric group theory. The most recent publications (2022-2024) focus on metric approximations of discrete groups, spectral gap properties, origami expanders, and acylindrical hyperbolicity in cubical small cancellation groups. These works represent cutting-edge research at the intersection of group theory, geometry, and combinatorics. Scientific Awards: Prize mentioned in search results (4 total, specific names not provided) Prize mentioned in search results (4 total, specific names not provided) Prize mentioned in search results (4 total, specific names not provided) Prize mentioned in search results (4 total, specific names not provided) Professor Arzhantseva has been actively involved in numerous research projects, with records showing 7 projects between 2011-2024. Her collaborative approach is evident in her extensive publication record, which includes significant contributions to prestigious mathematics journals. While specific details about her advising activities are not provided in the available information, her substantial research output suggests active mentorship of graduate students in geometric group theory.

• Geometric Model Theory
• Algebraic Geometry
• Additive Combinatorics
• +۳ مورد دیگر

Amador Martin-Pizarro is a Professor in the Department of Mathematical Logic at the Albert-Ludwigs-Universität Freiburg. His research focuses on geometric model theory and its applications to algebraic geometry, additive combinatorics, and number theory. He has contributed to foundational work on supersimplicity, stability, and definable groups in simple theories. Martin-Pizarro led the Freiburg group in the binational ANR-DFG project GeoMod. His work bridges model theory with algebraic structures, exploring connections between combinatorial patterns and logical frameworks. Recent studies include applications of model theory to arithmetic progressions, pseudofinite groups, and equational theories of fields.

• 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.

• Model Theory
• Mathematical Logic
• Algebra
• +۴ مورد دیگر

David M Evans holds the position of Chair in Pure Mathematics at the Department of Mathematics, Faculty of Natural Sciences, Imperial College London. His academic career spans several decades with continuous research contributions in mathematical logic and its interdisciplinary applications. Professor Evans' research focuses on the theoretical foundations and practical applications of Model Theory, with particular emphasis on: Stability theory and its generalizations within model-theoretic frameworks Hrushovski constructions and their geometric properties Interactions between model theory, algebra, and combinatorics Automorphism groups of infinite structures Ramsey properties in sparse graphs and metric spaces His publication record demonstrates consistent innovation in geometric model theory, with recent work exploring amalgamation properties in measured structures, simplicity of automorphism groups, and EPPA (Extension Property for Partial Automorphisms) in various mathematical structures. His research bridges abstract model-theoretic concepts with concrete combinatorial and algebraic applications, particularly in the study of homogeneous structures and their automorphism groups. Professor Evans has supervised numerous doctoral students including D. G. D. Gray, Reinhold Konnerth, Herwig Nuebling, Marco Antonio Semana Ferreira, Yibei Li, and Robert Sullivan. His research has been supported by grants such as 'Model theory of generic structures and simple theories' and the 'Workshop on Pure Model Theory,' reflecting the significance of his contributions to the field.

Martin Hilsمشاهده پروفایل

استاد

• Model Theory
• Set Theory
• Geometric Stability Theory
• +۴ مورد دیگر

Prof. Dr. Martin Hils is a Professor of Mathematical Logic at the University of Münster's Faculty of Mathematics and Computer Science, affiliated with the Institut für Mathematische Logik und Grundlagenforschung. His expertise lies in model theory and set theory, focusing on geometric stability, simplicity theory, valued fields with automorphisms, and Hrushovski amalgamation. Education: Habilitation in Mathematics (2013, Université Paris Diderot) PhD in Mathematics (2006, Université Paris 7 and Lyon 1) Master (DEA) in Logic and Computer Science (2002, Paris 7) Diploma in Mathematics with Philosophy (2001, University of Bonn) Research Interests: Model theory of valued fields, geometric stability/simplicity theories, Hrushovski amalgamation techniques, and applications to algebraic geometry and differential fields. His work bridges abstract model theory with concrete mathematical structures. Recent Research Trends: Focus on non-archimedean geometry, separably closed valued fields, Lang-Weil estimates in difference fields, and definable retraction principles. His articles explore topics like Ax-Kochen-Ershov principles, domination monoids in valued fields, and beautiful pairs in unstable theories. Grants & Projects: Lead investigator in DFG Cluster of Excellence EXC 2044 (Groups, Model Theory and Sets) Principal investigator in 'Model Theory of Valued Fields with Endomorphism' (DFG 2022-2025) GeoMod project (geometric/combinatorial configurations in model theory, DFG 2020-2024) Contributor to SFB 878 (model theory of valued fields and definable groups) Teaching & Supervision: Current courses include Model Theory of Pseudofinite Fields and Logic Foundations. Supervised PhD students include Pierre Touchard (2020) and Rémi Jaoui (2017). Jointly supervises Simone Ramello and Zixuan Zhu. Editorial Work: Editor-in-chief of Model Theory journal. Authored textbook A First Journey through Logic (AMS 2019).

• Finite Groups
• Algebraic Groups
• Representation Theory
• +۳ مورد دیگر

Robert Guralnick is a Professor of Mathematics at the University of Southern California’s Dornsife College of Letters, Arts and Sciences. His research focuses on finite and algebraic groups, representation theory, and arithmetic algebraic geometry. He has made significant contributions to understanding group structures, character theory, and subgroup dynamics in both finite and algebraic contexts. His work spans advanced topics such as Sylow subgroup analysis, commutator properties, and probabilistic group generation. Recent studies include investigations into invariable generation in simple groups and generic stabilizers in algebraic group actions. Guralnick’s research often bridges abstract group theory with geometric and topological methods, addressing foundational questions in algebraic structures. His publications highlight interdisciplinary approaches to group theory, including applications to cohomology, combinatorics, and representation theory. Despite no explicit mention of awards, his extensive publication record reflects sustained academic impact in pure mathematics. Guralnick’s advising and grant activities are not detailed here, though his prolific research output suggests active mentorship and funding support. No specific lab affiliations or teams are noted in the provided texts.

Alejandro Ademمشاهده پروفایل

استاد

• Algebraic Topology
• Group Cohomology
• K-Theory
• +۶ مورد دیگر

Alejandro Adem is a Professor in the Department of Mathematics at the University of British Columbia , with a distinguished career spanning institutions like the University of Wisconsin-Madison and roles such as Director of the Pacific Institute for the Mathematical Sciences (PIMS) (2008–2015), CEO of Mitacs (2015–2019), and President of NSERC (2019–present). He is on leave from UBC. B.S. , National University of Mexico (1982) Ph.D. , Princeton University (1986) Research Interests : His work bridges algebraic topology and group theory , focusing on the cohomology of finite and infinite groups , spaces of homomorphisms , K-theory , and orbifolds . Recent projects include generalized Tate cohomology, quantum mechanics applications of twisted K-theory, and structural analysis of commuting element spaces in Lie groups. Scientific Trends : His 15 most recent articles emphasize homotopy theory , group cohomology , and topological applications in physics , with collaborations on equivariant K-theory , manifold classification , and commuting element spaces . Fellow of the Royal Society of Canada , American Mathematical Society , and Canadian Mathematical Society Jeffery-Williams Prize (2019) Canada Research Chair at UBC Science, Technology, and Innovation Award of the Americas Advising & Leadership : Supervised 22 PhD students, including Daniel Sheinbaum (2020) and Max Gheorghiu (2024). Served on the NSERC Council , chaired the Global Research Council , and contributed to University of British Columbia policies .

• Topology
• Low-dimensional topology
• Quantum topology
• +۴ مورد دیگر

Kazuo Habiro is a Professor at the University of Tokyo , affiliated with the Faculty of Science, Department of Mathematics . His work bridges topology and algebraic structures, focusing on quantum invariants of 3-manifolds and links. Research Interests: Specializing in low-dimensional topology , quantum topology , and algebraic topology , Habiro explores connections between topological spaces and quantum algebra. Recent interests include homological algebra, such as group homology and Hochschild homology. Selected Publications highlight his contributions to quantum invariants, Kirby calculus, and clasper theory, reflecting interdisciplinary trends in geometric topology and quantum field theory. Awards & Memberships: Geometry Prize of the Mathematical Society of Japan (2008) Editor for Quantum Topology

• Representation Theory
• Quantum Groups
• R-matrices
• +۳ مورد دیگر

Ryo Fujita serves as an Assistant Professor at the Research Institute for Mathematical Sciences (RIMS), Kyoto University, a position he has held since April 2021. His research focuses on the representation theory of algebras arising from simple Lie algebras or their root systems, including quantum groups and Hecke algebras. Fujita's work particularly examines the structure of module categories and related geometric objects, with significant contributions to the theory of affine quantum groups, quiver varieties, R-matrices, and quantum Grothendieck rings. His educational journey at Kyoto University spans from undergraduate studies (2010-2014) to doctoral degree (awarded in March 2019). The key milestones include: Bachelor of Science, Faculty of Science, Kyoto University (2010-2014) Master of Science, Graduate School of Science, Division of Mathematics, Kyoto University (2014-2016) Doctor of Science, Graduate School of Science, Division of Mathematics, Kyoto University (2016-2019) Fujita's research interests lie at the intersection of algebra, geometry, and representation theory. He specializes in quantum groups, R-matrices, quiver varieties, and cluster algebras, with a focus on affine quantum groups. His investigations into the module categories of these algebras have uncovered deep connections to geometric representation theory and categorification. Fujita's work often bridges abstract algebraic structures with combinatorial and geometric frameworks, advancing the understanding of quantum symmetries and their applications. Analysis of Fujita's publications from 2018 to 2024 reveals a cohesive research trajectory centered on quantum affine algebras and related structures. His work consistently explores deformed Cartan matrices, generalized preprojective algebras, quantum Grothendieck rings, and the singularities of R-matrices. A notable trend is the interplay between algebraic representation theory and geometric constructions like quiver varieties, often mediated by cluster algebra structures. This approach has led to significant advances in understanding the categorical and combinatorial aspects of quantum group representations. Fujita currently leads a Grant-in-Aid for Early-Career Scientists (2023-2026) titled "Study on the representations of affine quantum groups using quivers with potentials". He is also a key participant in a major Grant-in-Aid for Scientific Research (S) project (2021-2026) on "Representation theory of vertex algebras for the 21st century". Previously, he held a JSPS Research Fellowship (2018-2020) supporting his foundational work on quantum affine algebras. Based at RIMS, Kyoto University, Fujita is embedded in one of Japan's premier mathematical research environments. He collaborates closely with mathematicians including Kota Murakami and Hironori Oya, as evidenced by joint publications. His research group and collaborations extend internationally, with presentations at institutions worldwide, reflecting the global impact of his work in representation theory.

Francesco Malaspinaمشاهده پروفایل

استاد

• Vector Bundles
• Projective Algebraic Geometry
• Commutative and Non-Commutative Algebra
• +۳ مورد دیگر

Francesco Malaspina is a Full Professor at the Department of Mathematical Sciences (DISMA) of the Polytechnic University of Turin. His research focuses on vector bundles , projective algebraic geometry , and ACM (Arithmetically Cohen-Macaulay) bundles , particularly on varieties like quadrics, Grassmannians, and multiprojective spaces. He has contributed extensively to splitting criteria for vector bundles, cohomology properties, and moduli space classification. His work bridges abstract algebraic geometry with applications in mathematical physics and topological methods. Key research areas : Vector bundles, Ulrich bundles, instanton bundles, Castelnuovo-Mumford regularity, cohomology vanishing, projective varieties. Publications include studies on Ulrich bundles on Segre-Veronese varieties, instanton bundles on flag varieties, and cohomological properties of vector bundles. His articles often explore the interplay between algebraic structures and geometric intuition, emphasizing aesthetic-driven mathematical inquiry. Teaching spans linear algebra, geometry, and advanced topics for aerospace and pure/applied mathematics programs. He has also engaged in science communication, notably through his book Seven Simple Lessons in Mathematics; on Love, Death, Football, Meringues, and Geometry , which connects abstract math to humanistic themes.