جستجوی استاد راهنمای دانشگاهی

Professor Neil Strickland is a faculty member at the University of Sheffield's School of Mathematical and Physical Sciences, holding the rank of Professor. He earned his PhD from the University of Manchester in 1992 and held positions as a C.L.E. Moore Instructor at MIT and a Research Fellow at Trinity College Cambridge before joining Sheffield in 1998. He received the prestigious Whitehead Prize from the London Mathematical Society in 2005. His research focuses on stable homotopy theory, exploring connections between topology, algebraic geometry, and category theory. Key areas include formal group laws, chromatic homotopy theory, and equivariant cohomology. Prof. Strickland emphasizes translating topological problems into algebraic frameworks, leveraging category theory for structural insights. Grants: He has led EPSRC-funded projects, including 'Symmetric Powers of Spheres' and 'Equivariant Elliptic Cohomology and Class Field Theory,' and collaborated on grants like 'Higher Structures on Elliptic Cohomology.' Teaching: Prof. Strickland instructs courses such as MAS334 Combinatorics and MAS435 Algebraic Topology. His homepage provides further academic resources and materials. Awards: His recognition includes the Whitehead Prize, reflecting contributions to algebraic topology and homotopy theory.

• Algebraic Topology
• Stable Homotopy Theory
• Formal Groups
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Henrik Granau Holm is a Professor in the Department of Mathematical Sciences at the University of Copenhagen. His research focuses on advanced algebraic structures within category theory and commutative algebra, with significant contributions to derived categories and quiver representations. His primary research areas include Algebra, Category Theory, Commutative Algebra, Derived Categories, Quiver Representations, and Homological Algebra. His work explores the structural properties of derived categories, particularly Q-shaped derived categories, and their applications in representation theory. Recent research investigates compact and perfect objects in ring-derived categories, tensor embeddings in Grothendieck cosmos, and vanishing properties of Tor functors. Holm's publication record shows consistent output in top mathematics journals, with multiple 2024 publications including a book on derived category methods in commutative algebra. His research demonstrates strong international collaboration, particularly with researchers in representation theory and category theory. Holm has supervised PhD students and postdoctoral researchers as indicated by departmental records. His activities include editorial work for Mathematical Reviews and Zentralblatt MATH, along with numerous lecture presentations on cohomology and AC rings dating back to 2007.

• Algebra
• Category Theory
• Commutative Algebra
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Fangzhou Jin is an Assistant Professor at the School of Mathematical Sciences, Tongji University. His research focuses on advanced topics in Algebraic Geometry , particularly in Motivic Homotopy Theory , Algebraic K-theory , and Real Algebraic Geometry . He has extensive experience in collaborative mathematical research, having worked with prominent mathematicians such as Frédéric Déglise, Enlin Yang, and Marc Levine. Education : Ph.D. in Mathematics (2016, École Normale Supérieure de Lyon), M.Sc. in Pure Mathematics (2012, Université Paris-Diderot), Diploma of ENS (2013) His work bridges Algebraic Cycles with Étale Cohomology , exploring Weight Structures in mixed motives and Chern Classes in motivic contexts. Jin has contributed to the theory of Trace Maps and Local Terms in motivic homotopy, as well as the study of Flat Cohomology and Real Schemes . Key trends in his publications include: 2025: Cohomology of singular varieties via real cycle class maps 2024: Trace maps and local terms in motivic homotopy 2023: Moving lemmas in homotopy colevel theory 2022: Quadratic conductors, perverse homotopy, and pro-Chern classes 2021: Rational motivic homotopy and Künneth formulas 2020: Gersten complexes and real flat cohomology 2018: Algebraic G-theory in motivic categories 2016: Borel-Moore homology and weight structures Scientific Awards & Grants : Fundamental Research Funds for Central Universities (2021-2025) National Natural Science Foundation of China Grants 12101455 (2022-2024), 12471014 (2025-2028) National Key R&D Program of China 2021YFA1001400 (2022-2026) DFG Priority Programme SPP 1786 & ERC Project QUADAG (2018-2020) Advising & Teaching : Jin has supervised exercise classes and seminars at multiple institutions, including Universität Duisburg-Essen and Tongji University. His teaching spans Algebraic Topology , Étale Cohomology , and Algebraic Geometry . Labs & Collaborations : Active in international collaborations, he is a key member of the Algebraic Geometry and Ramification Seminar at Tongji University and has participated in DFG Research Training Group 2553 during his postdoctoral period.

• Algebraic Geometry
• Pure motives
• Mixed motives
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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.

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

Jan Draisma is a full professor of Mathematics at the University of Bern and a part-time full professor of Applied Algebra and Geometry at Eindhoven University of Technology (TU/e), where he is affiliated with the Department of Mathematics and Computer Science, specifically in Discrete Algebra and Geometry and Coding Theory and Cryptology. He obtained his Master's and Ph.D. degrees from TU/e cum laude and held a postdoctoral position at the University of Basel (2002–2005). He returned to TU/e as an assistant professor, later advancing to associate professor (2011–2016), and served as a part-time full professor at VU Amsterdam (2015–2016). His research focuses on the interplay between combinatorics, statistics, and algebraic geometry. Key areas include tropical geometry, algebraic statistics, symmetric systems of polynomial equations in infinitely many variables, and representation stability. His work often explores the structure of infinite-dimensional algebraic objects and their finite approximations. The most recent publications highlight trends in polynomial functors, topological Noetherianity, amoebas of linear spaces, and the geometry of tensor representations. These works reflect a deep integration of algebraic geometry with combinatorics and category theory, emphasizing stabilization phenomena and symmetry in algebraic structures. NWO Vici Award: Stabilisation in Algebra and Geometry (2015) NWO Vidi Award: Finite thanks to symmetry (2010) Draisma has received significant research funding, including the NWO Vidi and Vici grants, and two NWO Free Competition grants (2008, 2012). He has supervised 16 students and is actively involved in the academic community as an associate editor for Experimental Mathematics, SIAM Journal on Applied Algebra and Geometry, and Linear and Multilinear Algebra. He has held leadership roles in major conferences such as MEGA 2015 and SIAM AG 19. He is affiliated with the research groups in Discrete Algebra and Geometry and Coding Theory and Cryptology at TU/e and leads research activities centered on algebraic methods in discrete mathematics and statistics.

• Algebraic Geometry
• Combinatorics
• Algebraic Statistics
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Slava Rychkov is a Permanent Professor of Theoretical Physics at the Institut des Hautes Études Scientifiques (IHES), a position he has held since 2017. He specializes in strongly coupled quantum and conformal field theories, with applications across high energy physics, statistical mechanics, and condensed matter physics. His current research focuses on the conformal bootstrap and renormalization group techniques, including both perturbative and nonperturbative methods like tensor network renormalization. Education: Ph.D. in Physics, Princeton University (2002) Master of Science, Moscow Institute of Physics and Technology (1996) Recent research highlights include a groundbreaking connection between Deligne categories and symmetries of probabilistic loop ensembles in statistical physics, and a novel method for analytic continuation of Euclidean CFTs to Lorentzian signature. His work on the 2+ϵ expansion challenges established assumptions about critical exponents in 3D systems. Publications span topics from tensor renormalization group methods to rigorous mathematical approaches in the conformal bootstrap program. Scientific Awards: Jacques Solvay International Chair in Physics (2025) Grand Prix Mergier-Bourdeix, French Academy of Sciences (2019) New Horizons in Physics Prize (2014) As Deputy Director of the Simons Collaboration on the Nonperturbative Bootstrap, Rychkov leads efforts to rigorously analyze conformal field theories. His former advisees include prominent researchers at institutions like EPFL, Princeton, and Università di Genova. Current projects focus on resolving fundamental questions about critical phenomena and phase transitions using advanced mathematical physics tools.

• Conformal Field Theory
• Quantum Field Theory
• Renormalization Group
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Shawn Xingshan Cui is Associate Professor in the Departments of Mathematics and Physics & Astronomy at Purdue University. His research bridges low-dimensional topology, quantum field theory, and quantum information science, with focus on topological quantum computation and tensor category applications. His work develops mathematical frameworks for topological quantum computing using knot theory, Hopf algebras, and modular tensor categories. Recent publications explore quantum error correction in topological codes (Kitaev model, toric code), non-semisimple invariants of 3-/4-manifolds, and quantum circuit implementations. He leads research on constructing fault-tolerant quantum gates using topological phases and anyonic braiding. Current projects investigate Floquet codes, fracton models, and the application of neural networks to quantum state representation. His SIAM News article 'Fighting Errors with Space' highlights spatial approaches to quantum error correction. He supervises graduate students working on quantum algorithms, topological phases of matter, and mathematical foundations of quantum computation. Teaching includes MA 261: Multivariate Calculus and specialized topics in topological quantum computation.

• Topological Quantum Computing
• Quantum Information
• Low-dimensional Topology
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John G. Kerns is a Professor in the Department of Psychology at the University of Missouri, leading the Cognitive and Emotional Control Lab. His research integrates clinical psychology and neuroscience to understand psychotic disorders, with a focus on striatal functioning and aberrant salience. His primary research interests include: Translational clinical neuroscience of psychotic disorders Cognitive and emotional control mechanisms Striatal functioning and feedback-related learning Aberrant salience and positive schizotypy Openness to experience in psychopathology Analysis of Dr. Kerns' recent publications shows a strong emphasis on neuroimaging and behavioral studies of psychosis risk, particularly examining corticostriatal pathways and their relationship to cognitive deficits. His work consistently bridges personality factors with neural mechanisms. No scientific awards are mentioned in the provided text. Dr. Kerns mentors a vibrant team of graduate and undergraduate students. Current graduate students include Megan Liew and Tyler Rogers, and his alumni have secured prestigious positions in academia and clinical practice. He is accepting applications for graduate students starting in Fall 2026. The Cognitive and Emotional Control Lab provides a collaborative environment for research on psychotic disorders, utilizing behavioral, clinical, and neuroimaging methods to advance understanding and treatment.

• Translational Clinical Neuroscience
• Psychotic Disorders
• Cognitive and Emotional Control
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Yasuyuki Kawahigashi is a Professor at the Department of Mathematical Sciences, The University of Tokyo, where he leads research in operator algebras and mathematical physics. His office is located in Room 323 of the Mathematical Sciences Building on the Komaba campus. He serves as an editor for multiple prestigious mathematics journals including Communications in Mathematical Physics, International Journal of Mathematics, and Journal of Mathematical Physics. His research focuses on operator algebras, particularly subfactor theory and its connections to conformal field theory, topological phases of matter, quantum groups, and vertex operator algebras. He investigates 2-dimensional conformal field theory from an operator algebraic viewpoint, examining representation theory through subfactors and connections to quantum invariants in low-dimensional topology. Kawahigashi's publications demonstrate extensive work in operator algebras, conformal field theory, and topological quantum field theory. His recent research emphasizes connections between subfactors, tensor categories, and topological phases of matter, with applications in mathematical physics. Operator Algebra Prize (2000) Spring Prize of the Mathematical Society of Japan (2002) He has advised numerous postdoctoral fellows and organized major international programs such as the 2011-2012 RIMS Program on Operator Algebras. He leads the Operator Algebra Group at Tokyo and has secured research grants from Mitsubishi Foundation, Sumitomo Foundation, and JSPS. Kawahigashi directs research seminars and maintains active collaborations with institutions worldwide. His group regularly hosts international visitors and participates in conferences on operator algebras and mathematical physics.

• Operator Algebras
• Conformal Field Theory
• Topological Phases of Matter
• +۵ مورد دیگر

Giorgio Ottaviani is a Professor of Geometry at the University of Florence with significant affiliations as a visitor at the Max Planck Institute for Mathematics in the Sciences (MPI-MIS) in Leipzig. He participated in the 2016 workshop "Tensors: Algebra meets Numerics" and was listed among the Nonlinear Algebra People from 2017 to 2022. His academic foundation includes a diploma thesis supervised by Francesco Gherardelli, doctoral research under Vincenzo Ancona, and formative periods as a junior visitor at the University of Bayreuth with Michael Schneider, focusing on vector bundles of small rank. He began his professorial career in L'Aquila, where he pioneered Computational Algebraic Geometry courses against the backdrop of Gran Sasso mountains. Ottaviani's research bridges classical algebraic geometry (including derived categories) with applied domains like tensor spaces and quantum information. He actively investigates matrix multiplication complexity while promoting "mathematics for teaching" pedagogy. His work exemplifies cross-disciplinary synthesis, as seen in his undergraduate teaching example involving polynomial root dynamics using Macaulay2. Outside academia, he combines passions for bicycle riding, wine tasting (noting the practical challenges of merging these hobbies), and popular astronomy—recommending M81/M82 galaxy observation for "zen relaxation."

• Algebraic Geometry
• Applied Algebraic Geometry
• Tensor Analysis
• +۴ مورد دیگر

Sergei Chmutov is a Professor of Mathematics at The Ohio State University, holding positions at both the Mansfield Campus and the Columbus Campus. He earned his PhD from Moscow State University in 1985. His primary research interests include Algebraic Geometry, Knot Theory, Graph Theory, and Topology, with a focus on Vassiliev invariants, low-dimensional topology, and combinatorial methods in algebraic geometry. Chmutov has taught a wide range of courses, including Partial Differential Equations, Abstract Algebra II, Linear Algebra, and Honors Differential Geometry. He has led working groups on Knots and Graphs for over a decade, fostering collaborative research among students and colleagues. His publications span foundational work in knot theory, topology, and algebraic geometry, including a book on Vassiliev knot invariants and numerous preprints exploring topics like virtual links, ribbon graphs, and topological diagrams. His research frequently bridges algebraic and geometric approaches to solving problems in these fields. Chmutov actively participates in academic seminars, including an online knot theory seminar series led by Roger Fenn and Louis Kauffman, where he presented on Thompson's group links and other advanced topics.

• Algebraic Geometry
• Knot Theory
• Graph Theory
• +۵ مورد دیگر

Li Yang is the Albert Gordon Hill Professor of Physics at Washington University in St. Louis, specializing in theoretical condensed matter physics and computational materials science. His research combines quantum mechanical modeling with large-scale simulations to investigate electronic structures and quantum phenomena in novel materials. Current projects explore topological quantum materials, Bose-Einstein condensates, and nanoscale quantum effects for next-generation technologies. Yang's group develops computational methods to predict electronic, optical, and topological properties of quantum materials. Their work addresses fundamental questions about electron interactions, quasiparticle dynamics, and quantum confinement effects. Recent publications focus on Josephson effects in ultracold atomic systems, quantum algebra representations, and topological phases in reduced-dimensional structures. His contributions to predicting many-electron excitations in two-dimensional semiconductors were recognized as Physical Review B 50th Anniversary Milestones. Yang has received multiple honors including the NSF CAREER Award and Albert Gordon Hill Professorship. He directs an active research group advancing computational approaches to quantum material design.

• Condensed Matter Theory
• Quantum Materials
• Topological Insulators
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Beren Sanders is an Associate Professor in the Mathematics Department at UC Santa Cruz. His research explores triangulated categories with applications in tensor triangular geometry, stable homotopy theory, and representation theory. Sanders completed his PhD at UCLA under Paul Balmer and held postdoctoral positions at EPFL and the University of Copenhagen before joining UCSC. His recent publications investigate homological stratification, tensor triangular support theories, and equivariant homotopy structures. Teaching includes advanced algebra (MATH 200, 202), linear algebra (MATH 117), and specialized topics in homological algebra (MATH 239, 281).

• Tensor Triangular Geometry
• Stable Homotopy Theory
• Modular Representation Theory
• +۲ مورد دیگر

Dr. Daniel Tubbenhauer is an ARC Future Fellow at the University of Sydney's School of Mathematics and Statistics, specializing in categorical representation theory, 2-representation theory, and their applications to topology, cryptography, and machine learning. His research bridges algebra, category theory, and low-dimensional topology, with a focus on modular representation theory and diagrammatic algebra. Education: PhD in Mathematics (2013), supported by extensive postdoctoral research globally. Research Interests: He explores categorical structures in representation theory, including categorification of quantum groups, link homologies, and applications in cryptography. His work emphasizes diagrammatic methods and computational approaches to algebraic problems. Publications: Over 30 peer-reviewed articles, including foundational work on web categories, Soergel bimodules, and applications of representation theory to machine learning. Recent projects analyze growth rates in tensor powers and fractal behavior in algebraic structures. Awards: Australian Research Council Future Fellowship (2023), supporting his research on categorical representation theory. Teaching & Supervision: Taught courses on quantum topology, category theory, and representation theory. Current student: Daniel Collison (PhD). Advises on projects linking representation theory to AI and cryptography. Labs/Teams: Collaborates with global networks in algebraic topology and categorification, including projects at the Sydney Mathematical Research Institute. Maintains an active YouTube channel ( VisualMath ) for outreach.

• Categorical Representation Theory
• 2-Representation Theory
• Modular Representation Theory
• +۶ مورد دیگر

Serban Raianu is a Professor in the Department of Mathematics at California State University Dominguez Hills since 2004. His research focuses on Hopf algebras , quantum groups , and their applications to algebraic structures. He has published extensively on topics such as graded rings , crossed coproducts , and co-Frobenius Hopf algebras , often collaborating with leading mathematicians like S. Dăscălescu and C. Năstăsescu. His work in number theory includes recent studies on arithmetic properties of 3-cycles in quadratic maps (2022), extending the abc conjecture and exploring connections to Diophantine equations . He has also contributed to linear algebra with a 2005 paper on Jordan forms and matrix optimization . Key research contributions: Hopf algebras acting on algebras and coalgebras Quantum groups and their representations Duality theories for finite Hopf algebras Dr. Raianu has received notable scientific awards , including the Gheorghe Titeica Prize from the Romanian Academy (2001) and the first prize in the annual scientific contest for students at the University of Bucharest (1981). He has advised undergraduate research projects on partition problems , harmonic number differences , and Green's theorem applications , supported by grants such as the PUMP Undergraduate Research Grant (2016-2017) and NSF-Cal State grant (2003-2006).

• Hopf Algebras
• Quantum Groups
• Algebra
• +۵ مورد دیگر