جست‌وجوی استاد و پژوهشگر

Vanessa Miemietzمشاهده پروفایل

استاد

• Representation Theory
• Homological Algebra
• 2-Representation Theory
• +۴ مورد دیگر

Vanessa Miemietz is a Professor of Pure Mathematics at the University of East Anglia , based in the School of Engineering, Mathematics and Physics. Her research focuses on representation theory, homological algebra, and categorification, with specializations in 2-representation theory and algebraic structures related to finite-dimensional algebras and algebraic groups. Education: PhD in Mathematics (Dr.rer.nat), University of Stuttgart (2002–2005) Diploma in Mathematics (Dipl.Math), University of Stuttgart (1997–2001) Research Interests: Structural properties of representation categories, categorification phenomena, and applications of homological algebra in Lie-theoretic contexts. She actively explores connections between algebraic groups and finite-dimensional algebra representations, with a focus on advancing 2-representation theory frameworks. Projects & Grants: Lead on 2-representation theory projects funded by EPSRC (2019–2023, 2025–2028) Hosted LMS Prospects in Mathematics Meeting (2021) Collaborative grants with Dr. R. Laugwitz and Dr. Jyun-Ao Lin Editorial Roles: Editorial Board Member, Applied Categorical Structures (2023–present) Editorial Board Member, Communications in Algebra (2021–present) Supervision & Mentoring: Supervises PhD students in representation theory of algebraic groups and homological algebra. Open to discussing projects beyond listed opportunities and securing funding alternatives.

Idun Reitenمشاهده پروفایل

استاد

• Representation Theory
• Algebra
• Commutative Algebra
• +۷ مورد دیگر

Idun Reiten is a Professor of Mathematics at the Norwegian University of Science and Technology (NTNU), where she has been a faculty member since 1974. Born on January 1, 1942, she earned her Master's degree in Mathematics from the University of Oslo (1968) and her Ph.D. from the University of Illinois (1971), advised by Robert Fossum. Her research focuses on representation theory of algebras, tilting theory, and cluster algebras, with over 130 publications and a seminal book co-authored with Maurice Auslander and Sverre Smalø, *Representation Theory of Artin Algebras* (1995). Key academic roles and recognitions include: Elected to the Royal Swedish Society of Science and Letters (2007) Recipient of the Humboldt Research Prize (2005), Möbius Prize (2007), and Fridtjof Nansen Award (2009) Delivered the 2010 Emmy Noether Lecture at the International Congress of Mathematicians Member of the Norwegian Academy of Science and Letters Research.com Leader in Mathematics for Norway (2024, 2025) Her research contributions include foundational work in tilting theory, cluster-tilted algebras, and the study of Cohen-Macaulay modules. Her work bridges algebra, combinatorics, and geometry, with applications in categorical structures and representation theory.

• 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.

Oleksandr Tsymbaliukمشاهده پروفایل

دانشیار

• Representation Theory
• Quantum Algebra
• Algebraic Geometry
• +۴ مورد دیگر

Oleksandr Tsymbaliuk is an Associate Professor of Mathematics at Purdue University, specializing in Representation Theory, Quantum Algebra, and Integrable Systems. His research focuses on quantum affine and toroidal algebras, shuffle algebras, Yangians, and their connections to algebraic geometry and mathematical physics. He has held positions at Yale University and the Simons Center for Geometry and Physics. Tsymbaliuk earned his PhD from MIT in 2014 and has been supported by NSF grants DMS-2302661 and others. His research interests include Cherednik algebras, Coulomb branches, and Toda systems. He has mentored students in programs like PRIMES and Yulia’s Dream, leading to collaborative publications. Notable contributions include works on Lyndon words, R-matrices, and orthogonal bases in quantum groups. Teaching roles span courses such as Infinite-Dimensional Lie Algebras and Linear Algebra at Purdue. He actively participates in academic conferences and seminars, with notable talks at Temple University and Northeastern University. Grants and collaborations include NSF funding and partnerships with researchers like Michael Finkelberg and Andrei Neguț. His work bridges algebra, geometry, and physics, emphasizing integrable systems and categorification.

Jordan Cotlerمشاهده پروفایل

استادیار

• Quantum Information
• Quantum Computation
• Quantum Gravity
• +۵ مورد دیگر

Jordan Cotler is an Assistant Professor of Physics at Harvard University, affiliated with the Department of Physics within the Faculty of Arts and Sciences. He holds a BS in physics and mathematics from MIT (2015) and a PhD in physics from Stanford University (2020). Before joining Harvard's faculty, he served as a Junior Fellow at the Harvard Society of Fellows from 2020 to 2024. His research focuses on the intersection of quantum information, computation, and spacetime physics. Key interests include quantum algorithms for analyzing many-body and quantum gravitational systems, information-theoretic frameworks for chaotic dynamics, and non-perturbative methods in quantum cosmology and field theory. Cotler's work has advanced quantum algorithm design for experimental platforms and contributed to understanding black hole microstructure and cosmological spacetimes. He has been recognized with prestigious early-career awards, including his Harvard Society of Fellows Junior Fellowship. His publications span foundational topics such as quantum gravity, holography, computational complexity, and quantum chaos, reflecting a multidisciplinary approach to theoretical physics.

Claudius Zibrowiusمشاهده پروفایل

استاد

• Low-Dimensional Topology
• Categorified Knot Invariants
• Heegaard Floer Theories
• +۳ مورد دیگر

Claudius Zibrowius is a Professor of Low-Dimensional Topology at Ruhr-University Bochum's Faculty of Mathematics. He leads the Topology Group, focusing on categorified knot invariants like knot Floer homology and Khovanov homology, leveraging Fukaya categories of surfaces. His work bridges Heegaard Floer theories and quantum invariant categorifications. Current group members include postdoc Dr. Chen Zhang and PhD student Luca Marchiori. Research highlights include ERC Starting Grant (ERC-2024) and DFG funding, as well as contributions to topics like Gordian distances, Conway spheres, and mutation invariance. Notable collaborations involve Artem Kotelskiy and Liam Watson. Teaching activities include Algebraic Topology I and outreach lectures. He co-organizes conferences like 'Categorification in Low Dimensional Topology' (2025). Awards include DFG Individual Grant (2022) and ERC Starting Grant (2024). His lab engages in computational projects like kht++, a C++ program for Khovanov invariants. Beyond academia, he sings in choirs and advocates for Palestinian rights, publicly opposing Israeli-Palestinian conflict complicity.

• Statistical Mechanics
• Probability Theory
• Discrete Geometry
• +۳ مورد دیگر

Richard Kenyon is the Erastus L. DeForest Professor of Mathematics at Yale University, serving as Director of Undergraduate Studies. His research focuses on statistical mechanics, probability, and discrete geometry, with notable contributions to dimer models, random tilings, and integrable systems. He has explored topics such as limit shapes, phase transitions, and combinatorial configurations. His work intersects algebraic geometry, combinatorics, and mathematical physics, often involving the analysis of lattice models and their applications. His research includes open problems such as tiling optimization, geometric spanning surfaces, number theory questions, and rigidity of tilings. Kenyon's gallery showcases visualizations of mathematical concepts, including random triangulations, Vinnikov curves, and conformal mappings. His academic contributions span over three decades, with recent articles addressing dimers, webs, and eigenvalue properties. He actively collaborates on projects like the six-vertex model, multiwebs, and renormalizable dynamical systems. Kenyon’s academic service includes directing undergraduate studies at Yale and contributing to initiatives in discrete differential geometry. His work highlights the interplay between pure mathematics and applied probability, with applications in physics and combinatorial optimization.

Robert Lipshitzمشاهده پروفایل

استاد

• Low-dimensional topology
• Symplectic geometry
• Heegaard Floer homology
• +۳ مورد دیگر

Robert Lipshitz is a Professor of Mathematics at the University of Oregon, specializing in low-dimensional topology and symplectic geometry. He is currently on leave for the 2025-2026 academic year to serve as the Minerva Visitor in the Mathematics Department at Princeton University, where he will deliver a series of lectures on recent techniques in low-dimensional topology. His research has significantly advanced the fields of Heegaard Floer homology and Khovanov homology, with numerous publications in top mathematics journals. Dr. Lipshitz's research primarily focuses on developing and applying bordered Heegaard Floer homology and Khovanov homology to solve problems in low-dimensional topology. His work bridges geometric topology with algebraic structures, providing powerful new invariants for studying 3- and 4-dimensional manifolds. He has made significant contributions to understanding connections between different homology theories and their applications to classical problems in knot theory and 4-dimensional topology, often combining deep geometric insights with sophisticated algebraic techniques. Dr. Lipshitz's recent publications demonstrate a consistent focus on refining and extending homological invariants in low-dimensional topology, particularly through the development of bordered techniques and stable homotopy refinements. His work shows increasing sophistication in connecting different branches of topology, with recent papers exploring applications to contact geometry, equivariant settings, and the detection of topological properties through algebraic invariants. Dr. Lipshitz has received numerous prestigious awards and fellowships supporting his research: NSF Graduate Research Fellowship NSF Mathematical Sciences Postdoctoral Research Fellowship Sloan Research Fellowship Simons Foundation Fellowship in Mathematics Multiple NSF research grants (DMS-0905796 through DMS-2505715) Dr. Lipshitz actively contributes to the mathematical community through editorial work as an editor for Quantum Topology and managing editor for Geometry & Topology. He serves as editor for chapter 3 of the K3 List, continuing Kirby's problem lists in low-dimensional topology. He has mentored numerous students, though specific names aren't listed on his website, and has developed computational tools including documentation for bfh_python, which implements algorithms for computing Heegaard Floer homology. Dr. Lipshitz is deeply involved in the topology community, frequently organizing the University of Oregon topology seminar. He has created educational resources on using Blender for mathematical illustrations and is developing tools for the mathematical community, including tutorials on creating line drawings for mathematics papers using 3D graphics software. He is also planning a conference at Princeton in Summer 2027 honoring Peter Ozsváth's 60th birthday.

Lyne Moserمشاهده پروفایل

پژوهشگر ارشد

• Algebraic Topology
• Higher Category Theory
• Homotopy Theory
• +۳ مورد دیگر

Lyne Moser is a Postdoc at the University of Regensburg, working in the group of Denis-Charles Cisinski as part of the DFG-funded Collaborative Research Centre Higher Invariants . She previously held a postdoctoral position at the Max Planck Institute of Mathematics in Bonn and completed her PhD at EPFL under Jérôme Scherer and Kathryn Hess. PhD : EPFL, 2021 Master Thesis : Johns Hopkins University (supervised by Emily Riehl) BSc and MSc : EPFL Her research focuses on algebraic topology, higher category theory, and homotopy theory, particularly the development of (∞,n)-categories. Key projects include the study of universal properties like (∞,n)-limits, adjunctions, and Kan extensions, leveraging connections between enriched and internal categories. She also explores higher algebraic structures and their applications to topological quantum field theory. Recent publications include work on model structures for double categories, homotopy coherent nerves, and ∞-categorical straightening-unstraightening. She received a Doc.Mobility grant from the Swiss National Foundation for her participation in the MSRI program Higher categories and categorification in 2020. Scientific Awards Swiss National Foundation Doc.Mobility grant (2020) She organized a seminar on Topics in (∞,2)-categories during the Summer 2023 at Regensburg, covering models of (∞,2)-categories, Gray tensor products, and applications in derived algebraic geometry and K-theory.

• Geometry
• Topology
• Quantum Field Theory
• +۵ مورد دیگر

Ryan Grady is an Associate Professor in the Department of Mathematical Sciences at Montana State University, affiliated with the College of Letters & Science. His research bridges geometry, topology, and quantum field theory (QFT), with a focus on derived geometry and higher Lie theory. Research Interests: His work applies QFT techniques to geometric and topological problems, explores derived algebraic structures (e.g., L-infinity spaces, cosheaves), and investigates connections between renormalization group flows and sigma models. Recent publications address K-theoretic invariants, operadic structures in topology, and algebraic models for topological field theories. Scientific Awards: Stannard Award for Graduate Teaching (2021) NExT Fellow (2019) ICCM Best Paper Award (2018) Research Enhancement Grant (2018) Member, MSU Center for Faculty Excellence (2017) Education: Ph.D. and M.S. in Mathematics from the University of Notre Dame (2012, 2009), and B.S. in Mathematics from the Colorado School of Mines (2007). Students: Co-chaired Eric Berry (PhD 2021) and Adam Howard (PhD 2021), advised Garrett Oren (MS 2021), and mentored Bryce Morrow (BS 2023).

Daren Chenمشاهده پروفایل

پژوهشگر ارشد

• Low-Dimensional Topology
• Knot Theory
• Homology Theories
• +۳ مورد دیگر

Daren Chen is an Olga Taussky & John Todd Postdoctoral Scholar and Teaching Fellow in Mathematics at the California Institute of Technology (Caltech). His postdoctoral mentors are Yi Ni and Sergei Gukov. He holds a PhD from Stanford University, where his advisor was Ciprian Manolescu. His research focuses on low-dimensional topology, specifically Khovanov homology and knot Floer homology of links in S³ and other 3-manifolds. Chen has taught multiple courses at Caltech, including 'Algebraic and Differential Topology' (Ma 151a/c) and 'Morse Theory and Floer Homology' (Ma 191b). He has also served as a teaching assistant for various mathematics courses at Stanford University, including Calculus, Linear Algebra, and Algebraic Topology. His research interests span Khovanov-type homologies, L-space links, satellite operators, and geometric invariants. Notable contributions include work on the flip map in Khovanov homology and Bar-Natan homology for null-homologous links in RP³. He has presented his research at institutions such as UC Davis, UCLA, and the University of Oregon, focusing on topics like tau-invariant computations and formal properties of Floer homology modules.

Paul Wedrichمشاهده پروفایل

استاد

• Low-Dimensional Topology
• Representation Theory
• Topological Quantum Field Theories (TQFTs)
• +۶ مورد دیگر

Paul Wedrich is a Professor (permanent W2) at the Department of Mathematics, University of Hamburg. He is a member of the management committee for the Collaborative Research Center Higher Structures, moduli spaces and integrability , a PI in the Cluster of Excellence Quantum Universe , and spokesperson for the Mathematisches Seminar der Universität Hamburg . He coordinates the Erasmus+ programme and serves as an equal opportunity representative at his department. His research bridges low-dimensional topology, representation theory, and mathematical physics, with a focus on topological quantum field theories (TQFTs), categorified quantum invariants, and higher structures in link homology. He has developed diagrammatic frameworks for categorification, including Soergel bimodules and gl(N) link homology theories, and explores connections to Hilbert schemes, skein modules, and quantum topology. The 15 most recent articles highlight his work on categorified braid group actions, Kirby colors in Khovanov homology, skein lasagna modules for 4-manifolds, and deformations of colored link homologies. These contributions span quantum algebra, category theory, and geometric representation theory, with applications to topological field theories and mathematical physics. Scientific awards include Fellow of the Higher Education Academy and recognition as Lecturer of the Semester (Summer 2022) at the University of Hamburg. He supervises doctoral researchers and co-organizes international workshops and conferences, such as the Quantum Topology and Categorification (QTcat) seminar. His teaching portfolio includes advanced courses on representation theory, algebra, and quantum topology.

Gregor Schaumannمشاهده پروفایل

پژوهشگر

• Quantum algebra
• Low-dimensional topology
• (Higher) category theory
• +۳ مورد دیگر

Gregor Schaumann is a researcher at the Chair of Mathematics X (Mathematical Physics) within the Institute of Mathematics at the University of Würzburg , Germany. He specializes in the interplay between algebra and topology, particularly focusing on quantum algebra, low-dimensional topology, and higher category theory. Research Interests : Topological field theories (TFTs) and associated manifold invariants Tensor categories and their representations Module categories and bimodule structures Higher categorical frameworks for mathematical physics Fusion categories and categorical quantum groups Orbifold constructions in TQFTs Scientific Contributions : His recent work includes foundational studies on Grothendieck-Verdier categories, fusion quivers, and generalized orbifolds in Reshetikhin-Turaev TQFTs. He has also advanced the understanding of Eilenberg-Watts calculus and pivotal tricategories. Teaching & Advising : Gregor supervises bachelor's and master's theses and teaches courses such as Linear Algebra for GMR teaching candidates , Introduction to Knot Theory , and seminars in algebraic topology and geometric mechanics. Collaborations : He collaborates with international researchers including Jürgen Fuchs, Ingo Runkel, Christoph Schweigert, and Nils Carqueville, with whom he co-organizes the Higher Structures & Field Theory Seminar .

TAN Meng Chwanمشاهده پروفایل

دانشیار

• M-theory
• String Theory
• Quantum Field Theory
• +۳ مورد دیگر

TAN Meng Chwan is an Associate Professor at the National University of Singapore (NUS), specializing in theoretical physics and mathematical physics. He serves as Assistant Dean (Outreach and Admissions) and Head of the NUS String Theory Group. His research focuses on M-theory, string theory, quantum field theory, and their implications for contemporary mathematics, particularly in understanding emergent spacetime in quantum gravity. Education: PhD in Physics from NUS (2007). His work bridges high-energy physics with advanced mathematical structures, including Floer homologies, categorification, and geometric Langlands duality. He has contributed to topological gauge theories, dualities in quantum field theories, and connections between string theory and algebraic geometry. Editorial Roles: Editor of International Journal of Modern Physics A, Modern Physics Letters A, and Scientific Reports. He also reviews for Communications in Mathematical Physics, Journal of High Energy Physics, and Advances in Theoretical and Mathematical Physics. Research Themes: His publications emphasize topological and holomorphic aspects of gauge theories, integrable systems, and their categorifications. Recent work explores higher-dimensional gauge theories, Floer homologies, and their applications to manifold topology and quantum gravity. Key Contributions: He pioneered studies on u-plane integrals in Donaldson theory, Vafa-Witten invariants, and matrix regularization of Nambu brackets. His interdisciplinary approach unites string theory with algebraic geometry, number theory, and enumerative geometry.

Joseph Chuangمشاهده پروفایل

استاد

• Representation Theory
• Homological Algebra
• Triangulated Categories
• +۵ مورد دیگر

Professor Joseph Chuang is a faculty member in the Department of Mathematics at City St George's, University of London. He holds the academic rank of Professor in Pure Mathematics. He is based in the Tait Building, Northampton Square, London. BA in Mathematics, Harvard University, 1994 Master of Advanced Study in Mathematics, University of Cambridge, 1995 PhD in Mathematics, University of Chicago, 1998 Professor Chuang's research is centered in pure mathematics, particularly in representation theory and homological algebra. His primary interests include the representations of finite and symmetric groups, the structure of triangulated categories, and the theory of homotopy algebras and operads. His work often bridges algebra and topology, exploring the homological properties of algebraic structures and their categorifications. He has made significant contributions to the understanding of derived equivalences, localization in derived categories, and the algebraic models of topological phenomena. His recent publications demonstrate a consistent focus on the interplay between algebra and topology. His work on homotopy epimorphisms, derived localization, and the structure of Maurer-Cartan algebras reveals a deep engagement with modern homotopical algebra. The recurring keywords in his publications, such as 'derived categories,' 'homological algebra,' 'symmetric groups,' and 'operads,' indicate a research program that is both cohesive and at the forefront of contemporary algebra. Advanced Research Fellow, EPSRC Professor Chuang has supervised research students, including Alfred Dabson. His research has been supported by EPSRC grants (EP/N015452/1 and EP/N016505/1). He is a member of the London Mathematical Society. His work is primarily theoretical, and there is no mention of specific research labs or large collaborative teams in the provided text.