جستجوی استاد راهنمای دانشگاهی

Ricky Ini Liu is an Associate Professor in the Department of Mathematics at the University of Washington. Previously, he held positions at North Carolina State University, the University of Michigan, and the University of Minnesota. He earned his Ph.D. in Mathematics from MIT in 2010 under Alexander Postnikov. His research focuses on algebraic combinatorics, particularly its intersections with algebraic geometry, combinatorial geometry, and representation theory. Key interests include Schubert polynomials, polytopes, Hopf algebras, and Kronecker coefficients. He has contributed to foundational work on birational rowmotion, Gelfand-Tsetlin polytopes, and Fomin-Kirillov algebras. Liu has taught a wide range of courses at UW, including special topics in dynamical algebraic combinatorics, combinatorial theory, and problem-solving. He has also been a key instructor at the Mathematical Olympiad Summer Program since 2007 and mentored undergraduates in research programs at the University of Minnesota, Duluth. His publications span high-impact journals like Selecta Mathematica and Journal of Combinatorial Theory , with recent work addressing topics such as determinantal formulas for Schubert polynomials and applications of flow polytopes to diagonal harmonics. Though no specific awards are listed, his extensive publication record and academic roles reflect significant contributions to combinatorial mathematics.

• Algebraic Combinatorics
• Algebraic Geometry
• Combinatorial Geometry
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Professor Jelena Grbic is a distinguished mathematician serving as Professor of Mathematics within the School of Mathematical Sciences at the University of Southampton since 2012. Her academic journey began with a B.Sc. in Mathematics from the University of Belgrade, Serbia in 1997, followed by a Ph.D. in Algebraic Topology from the University of Aberdeen in 2004. Prior to her current position, she held academic appointments at the University of Manchester (2007-2012) as Lecturer and Senior Lecturer, and at the University of Aberdeen (2004-2006) as Lecturer. Professor Grbic's research spans multiple interconnected domains of pure mathematics, with a primary focus on modern homotopy theory, particularly unstable homotopy theory, and its applications across topology, algebra, and geometry. Her work centers on decompositions and exponent problems in homotopy theory, homotopy aspects of Toric Topology, Hopf algebras, and geometric problems related to cobordisms and string topology. This research bridges abstract mathematical theory with potential applications in data science and computational topology. Analysis of her recent publications (2020-2025) reveals a consistent research trajectory in algebraic topology with increasing interdisciplinary connections. Her work demonstrates sophisticated mathematical techniques applied to complex topological structures, particularly moment-angle complexes and polyhedral products. Notably, her 2022 paper 'Aspects of topological approaches for data science' indicates growing interest in applying topological methods to contemporary data analysis problems, suggesting an expanding research horizon beyond pure mathematics. Professor Grbic actively supervises PhD students, including current student Salvatore Elia in Mathematical Sciences, and teaches modules covering algebraic topology and homotopy theory. She serves as a reviewer for prestigious journals including Homology, Homotopy and Application (2019), Transactions of the London Mathematical Society (2021), and The LMS Newsletter (2017), contributing to the scholarly community through peer review and academic service.

• Topology
• Algebra
• Combinatorics
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Jeremy Hahn is an Assistant Professor at the Massachusetts Institute of Technology (MIT), affiliated with the Department of Mathematics within the School of Science. His research focuses on Algebraic Topology, particularly structured ring spectra, chromatic homotopy theory, and equivariant homotopy theory. Supported by grants from the Sloan Foundation and the National Science Foundation (DMS-1803273), his work has contributed to foundational advances in topological K-theory, algebraic K-theory, and manifold topology. Education details are not explicitly listed, though past teaching roles at Harvard University suggest prior academic training. His research interests span topics including: Structured ring spectra constructions (e.g., truncated Brown-Peterson spectra) Chromatic redshift phenomena and algebraic K-theory Equivariant orientations and C_p actions Applications of homotopy theory to manifold classification Notable recent work includes counterexamples to Ravenel's telescope conjecture, advancements in motivic filtrations of topological cyclic homology, and the construction of multiplicative structures on classical spectra. Collaborations with researchers such as Robert Burklund, Dylan Wilson, and Allen Yuan reflect his active engagement in the global topology research community. Teaching includes advanced courses like Algebraic Topology I (18.905) and past roles as a teaching assistant for Linear Algebra (18.06) and multivariable calculus at MIT. His research has been supported by multiple NSF grants and the Sloan Fellowship, indicating sustained academic excellence and leadership in the field.

• Algebraic Topology
• Structured Ring Spectra
• Chromatic Homotopy Theory
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Richard Thomas FRS is a Royal Society Research Professor in the Department of Mathematics at Imperial College London, affiliated with the Faculty of Natural Sciences. His research focuses on algebraic geometry, Calabi-Yau manifolds, derived categories of coherent sheaves, and moduli problems. He holds a prestigious position as a Fellow of the Royal Society (FRS). His work bridges pure mathematics and theoretical physics, particularly in areas like mirror symmetry and string theory. Key themes include enumerative geometry, stability conditions, and geometric invariants. Recent publications (2020–2025) explore advanced topics such as wall-crossing phenomena, K-theoretic invariants, and applications of derived categories to moduli spaces. His contributions have significantly impacted modern algebraic geometry and its interdisciplinary connections.

• Algebraic Geometry
• Calabi-Yau Manifolds
• Derived Categories
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Jan de Gier is a Professor at the School of Mathematics and Statistics, The University of Melbourne . He is also the Founding Director of MATRIX , Australia’s residential research institute in the mathematical sciences, and a former Deputy Director and Chief Investigator in the Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS) . Additionally, he co-founded the Australian and New Zealand Association for Mathematical Physics (ANZAMP) in 2011 and served as its inaugural Chair. His research focuses on solvable lattice models at the intersection of mathematical physics and statistical mechanics . Key areas include the application of quantum integrability , algebraic structures like the Yang-Baxter equation, Hecke algebras, and quantum groups, as well as analytical methods such as complex analysis and elliptic curves. His work bridges pure and applied mathematics through connections between enumerative combinatorics , representation theory , and real-world phenomena like traffic flow modeling via exclusion processes . The 15 most recent articles reflect his expertise in integrable systems , non-equilibrium statistical mechanics , and algebraic combinatorics . Topics span Macdonald polynomials , stochastic duality , quantum spin chains , and traffic modeling , with methodologies involving matrix product forms , exact solutions , and critical phenomena analysis. He has contributed to editorial efforts through the AustMS Gazette and MATRIX Annals, and has been involved in public science communication via opinion pieces on mathematics funding and applications. His work emphasizes the importance of fundamental research in driving technological innovation, as highlighted in media articles discussing pi calculation , zero-knowledge proofs , and mathematics education .

• Mathematical Physics
• Statistical Mechanics
• Solvable Lattice Models
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Vasu Tewari is an Assistant Professor (CLTA) at the University of Toronto, working across both the Downtown Toronto (St. George) and Mississauga (UTM) campuses. Their office is located at HU1015 (215 Huron), and they can be reached at vasu.tewari@utoronto.ca. As a member of the Department of Mathematics within the Faculty of Arts and Science, Professor Tewari contributes to both teaching and research activities at the university. Professor Tewari's research focuses on advanced topics in algebraic combinatorics, with particular expertise in: Quasisymmetric functions and their geometric interpretations Schubert polynomial theory and related structures Representation theory of symmetric groups and related algebras Combinatorial aspects of algebraic geometry Enumerative combinatorics with connections to symmetric functions Algebraic structures arising from combinatorial objects Analysis of Professor Tewari's recent publications reveals a consistent focus on the interplay between combinatorial structures and algebraic frameworks. Their work often explores generalizations of classical symmetric function theory through the lens of quasisymmetric functions, providing new insights into Schubert calculus, permutation statistics, and geometric combinatorics. A notable trend in their research is the investigation of stability phenomena in combinatorial structures and the development of new algebraic tools for studying these phenomena. Professor Tewari has made significant contributions to understanding the geometry of combinatorial objects through algebraic methods, particularly in the areas of permutahedral varieties, zonotopal algebras, and quiver representations. Their work bridges pure mathematics with potential applications in theoretical physics and computer science.

• Algebraic Combinatorics
• Quasisymmetric Functions
• Schubert Calculus
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Christine Vespa is a Professor at Aix-Marseille Université affiliated with the Institute of Mathematics (I2M) in Marseille. Her research lies at the intersection of Algebra , Algebraic Topology , and Category Theory , focusing on polynomial functors , functor homology , and stable homology of group families. Education Habilitation à diriger des recherches (HDR), Université de Strasbourg, 2013. Thesis: Foncteurs polynomiaux et homologie stable à coefficients polynomiaux . Jury: William Dwyer, Vincent Franjou, Hans-Werner Henn, Nick Kuhn, Birgit Richter, Lionel Schwartz. Doctorat en Mathématiques, Université Paris 13, 2005. Thesis: La catégorie F_quad des foncteurs de Mackey généralisés pour les formes quadratiques sur F2 . Director: Lionel Schwartz. Research Interests Her work explores structural properties of polynomial functors and their applications in homology stability. She connects abstract category-theoretic frameworks with concrete algebraic and topological problems, such as stable homology for automorphism groups of free groups and orthogonal groups. Recent preprints address PROP structures , analytic exponential functors , and Jacobi diagrams , highlighting her engagement with algebraic topology and category theory. Article Trends Christine Vespa's publications and preprints emphasize algebraic topology and category theory . Recent trends include analyzing partition PROPs , exponential functors , and Jacobi diagrams in the context of stable homology. Earlier works delve into Hochschild homology , automorphism groups , and generalized Mackey functors , showcasing her contributions to homological algebra and representation theory. Advising Antoine Feltz (2020–2024): Foncteurs polynomiaux sur les catégories FI_d . Arthur Soulié (2015–2018): Foncteurs de Long-Moody et homologie stable des groupes de difféotopie . Andrea Cesaro (2012–2016): Pre-Lie algebras and operads in positive characteristic , co-supervised with Benoit Fresse. Labs & Teams She is a member of the Analyse, Géométrie, Topologie research group at I2M. She has organized academic events, including the 2014 Strasbourg workshop on Mac Lane's cubic construction and the 2015 Strasbourg Masterclass on Topological K-theory.

• Algebra
• Algebraic Topology
• Category Theory
• +۳ مورد دیگر

Laurens Lootens is a Researcher in the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge. His work focuses on theoretical physics, particularly in quantum lattice models, topological phases of matter, and mathematical structures underlying quantum systems. He is affiliated with the High Energy Physics research group within DAMTP. His research interests include dualities in quantum systems, matrix product operator symmetries, conformal field theories, and tensor network methods. Lootens explores topics such as entanglement in many-body systems, symmetry-protected topological phases, and the interplay between algebraic structures and physical phenomena. Publications highlight his contributions to understanding lattice representations of dualities, topological sectors in quantum models, and critical lattice models for conformal field theories. His work bridges theoretical frameworks with computational methods, advancing both fundamental physics and quantum information science.

• Quantum Physics
• Theoretical Physics
• Condensed Matter Theory
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Gijs Heuts is an Associate Professor in the Fundamental Mathematics group at the Mathematical Institute of Utrecht University, part of the Faculty of Science. His research focuses on advanced topics in algebraic topology and higher category theory, with particular expertise in Goodwillie calculus, chromatic homotopy theory, and operads. He is affiliated with the Utrecht Geometry Center, which includes prominent mathematicians Ieke Moerdijk and Lennart Meier. His work is currently funded by prestigious grants including an ERC Starting Grant titled "Chromatic homotopy theory of spaces" and an NWO Vidi grant "Hopf algebras and periodic homotopy theory". Starting September 2025, he will also serve as one of the Principal Investigators on the NWO XL consortium "Symmetry on the interface of topology and higher algebra". Dr. Heuts' research centers around homotopy theory and derived algebraic geometry, with a focus on generalizations of classical algebraic concepts (such as Lie algebras, commutative rings, and Hopf algebras) to homotopy theory. His work has significant applications to chromatic homotopy theory, with Goodwillie calculus and operads serving as central methodological tools. His publication record demonstrates consistent high-impact contributions to the field, with papers appearing in top journals such as Annals of Mathematics and Proceedings of the American Mathematical Society. His research spans theoretical foundations of higher category theory to specific applications in unstable homotopy theory, particularly focusing on connections between spectral Lie algebras and vn-periodic phenomena. ERC Starting Grant "Chromatic homotopy theory of spaces" NWO Vidi grant "Hopf algebras and periodic homotopy theory" PI on NWO XL consortium "Symmetry on the interface of topology and higher algebra" (starting Sept 2025) Dr. Heuts completed his PhD under Jacob Lurie at Harvard University and was previously a postdoc at the University of Copenhagen. He has held research positions at the Isaac Newton Institute and Hausdorff Research Institute. He was an organizer of the MIT Talbot Workshop (2012-2015) and currently organizes the European Autumn School in Topology (EAST).

• algebraic topology
• Goodwillie calculus
• chromatic homotopy theory
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Matilde Marcolli is the Robert F. Christy Professor of Mathematics and Computing and Mathematical Sciences at the California Institute of Technology (Caltech). She holds joint appointments in the Division of Physics, Mathematics, and Astronomy (PMA) and the Division of Engineering and Applied Sciences (EAS). Her research spans noncommutative geometry, mathematical physics, number theory, and mathematical linguistics. She has been recognized with prestigious awards such as the Sofja Kovalevskaya Award (2001) and the Heinz Maier Leibnitz Prize (2001). Marcolli has advised numerous PhD students and contributed to over 300 publications. Her work bridges abstract mathematics with applications in cosmology, quantum field theory, and computational linguistics. Education : PhD in Mathematics, University of Chicago, 1997 M.Sc., University of Chicago, 1994 Laurea in Mathematics, University of Pavia, 1993 Research Interests : Marcolli’s research explores the intersection of geometry, number theory, and physics. Key areas include noncommutative geometry models of particle physics and cosmology, motives in quantum field theory, and algebraic models of generative linguistics. She applies advanced techniques such as Feynman integrals, spectral action principles, and Hopf algebras to interdisciplinary problems. Grants & Awards : NSF grants DMS-2104330, DMS-1707882, and others NSERC Discovery Grant RGPIN-2018-04937 FQXi grant FQXi-RFP-1804 Collaborations & Labs : Marcolli collaborates with institutions like the Perimeter Institute and Florida State University. She leads research groups on topics such as quantum statistical mechanics, holography, and neural information networks. Her work on syntax-semantics interfaces and quantum gravity models has been pivotal in interdisciplinary studies.

• Noncommutative Geometry
• Mathematical Physics
• Number Theory
• +۵ مورد دیگر

Dr Alex Sherman is a Lecturer at UNSW Sydney in the School of Mathematics & Statistics . He previously held postdoctoral positions at the University of Sydney with Kevin Coulembier and at Ben-Gurion University of the Negev with Inna Entova-Aizenbud. His research focuses on representation theory and supergeometry , with applications to Lie superalgebras , modular representation theory , and tensor categories . He has published extensively on topics such as ghost distributions, Duflo-Serganova functors, and the geometry of spherical supervarieties. Email: alex.sherman@unsw.edu.au Location: Room 4111, The Red Centre, UNSW Sydney, NSW 2052 In 2025 , he will lecture the Linear Algebra stream of MATH1241. He organizes the UNSW Pure Maths Seminar and Algebra Seminar , and has co-organized courses on Kazhdan-Lusztig equivalences and tensor categories.

• Representation Theory
• Supergeometry
• Lie Superalgebras
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Yvain Bruned is a Professor of Mathematics at Université de Lorraine, Nancy, France, where he leads research in singular stochastic partial differential equations and related fields. He serves as Principal Investigator for the ERC Starting Grant LoRDeT (2023-2028), which focuses on advancing the theory of decorated trees and Hopf algebraic structures for solving singular SPDEs and dispersive PDEs at low regularity. Previously, he was a Lecturer at the University of Edinburgh (2019-2022) and completed postdoctoral work at Imperial College London and University of Warwick under Martin Hairer. His educational background includes: PhD in Mathematics (2012-2015), UPMC (Paris 6), on "Singular KPZ type equations" under Lorenzo Zambotti Master 2 in Probability and Statistics, ENS Cachan / Rennes 1, with honors Master 1 in Mathematics, ENS Cachan, with honors Bachelor in Mathematics and Computer Science, University of Rennes 1, with honors Student at ENS Cachan Brittany extension (2009-2013) Classes Préparatoires in Mathematics and Physics (2007-2009) Bruned's research centers on singular stochastic partial differential equations, with particular focus on Regularity Structures, renormalization theory, and their connections to Hopf algebras. His work bridges theoretical mathematics with applications in quantum field theory, wave turbulence, and numerical analysis. He has developed novel approaches using decorated trees to handle renormalization procedures for singular SPDEs and has extended these methods to dispersive PDEs with random initial data. His research program aims to establish existence and uniqueness results for quasilinear and dispersive SPDEs while developing algebraic tools through deformations of Hopf algebras. His extensive publication record demonstrates consistent contributions to the field of singular SPDEs, with a clear trajectory from foundational work on Regularity Structures to more recent applications in dispersive PDEs and numerical methods. The publications reveal a strong collaborative network with leading researchers in stochastic analysis, mathematical physics, and algebra. His work shows increasing sophistication in handling renormalization procedures through algebraic structures, with recent papers exploring connections between different mathematical frameworks. His major scientific recognition includes: ERC Starting Grant LoRDeT (2023-2028) Bruned actively supervises a large group of researchers, currently advising 4 PhD students and 2 postdoctoral researchers at Université de Lorraine, with several former PhD students having completed their degrees at the University of Edinburgh. His ERC grant has enabled him to organize multiple international workshops in Nancy, fostering collaboration between researchers in singular SPDEs, algebraic structures, and numerical analysis. The grant also supports the development of software platforms for decorated trees and their Hopf algebraic structures. As Principal Investigator of the ERC LoRDeT project, Bruned leads a vibrant research team based at the Elie Cartan Institute of Lorraine, which includes postdocs, PhD students, and visiting researchers. The team regularly organizes specialized workshops on topics including operads, symmetries for quantum field theory, and normal forms for singular dynamics, creating a dynamic research environment that bridges multiple mathematical disciplines.

• Singular Stochastic Partial Differential Equations
• Regularity Structures
• Renormalisation Theory
• +۵ مورد دیگر

Gizem Karaali is a Professor of Mathematics and Statistics and Chair of the Mathematics Department at Pomona College, part of The Claremont Colleges. She holds a Ph.D. in Mathematics from UC Berkeley (2004) and a B.S. in Electrical Engineering and Mathematics from Boğaziçi University. Her research spans algebraic structures like Lie algebras, representation theory, and humanistic mathematics, with a focus on integrating social justice into mathematics education. She co-founded the Journal of Humanistic Mathematics and created innovative courses such as the first-year seminar Can Zombies Do Math? to explore mathematics’ humanistic dimensions. Research Interests: Representation Theory, Algebraic Combinatorics, Quantitative Literacy, Mathematics Education, and the intersection of math with social justice. She has published widely in journals like Advances in Mathematics , Ramanujan Journal , and Journal of Humanistic Mathematics . Awards: NSA Young Investigator Award (2011-2013), NEH Enduring Questions Grant (2014-2016), AMS Project NExT Fellow. Active in editorial roles for Journal of Humanistic Mathematics and Numeracy . Teaching: Courses include Calculus, Linear Algebra, Abstract Algebra, and interdisciplinary topics like Mathematics, Philosophy, and the Real World. Advised senior theses in diverse areas including ethnomathematics and quantitative literacy.

• Representation Theory
• Algebraic Combinatorics
• Humanistic Mathematics
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Professor Catharina Stroppel is a distinguished researcher and educator in the Department of Mathematics at the University of Bonn, Germany. She maintains an active research program in representation theory and related fields, with significant contributions to categorification, knot theory, and higher category theory. Her office is located at Endenicher Allee 60, Room 4.007, Bonn, and she is supported by secretary Alev Erisöz-Reinke. Stroppel's research primarily focuses on representation theory of Lie algebras, connections to topology (particularly knot and manifold invariants), categorification, and diagram algebras. Her work bridges abstract algebra with topological applications, exploring combinatorial aspects of representation theory including Schubert calculus, Kazhdan-Lusztig theory, and canonical bases. She has made substantial contributions to understanding Hecke algebras and their representation theory, as well as developing connections between categorification and topological quantum field theories. Her recent publications demonstrate a consistent research trajectory advancing semi-infinite highest weight categories, geometric categorifications, and the interplay between quantum algebra and topology. The work shows increasing sophistication in handling higher categorical structures while maintaining concrete connections to classical representation theory problems. Her research has evolved from foundational work in categorification to more complex structures involving higher categories, quantum groups, and geometric interpretations. Indagationes Mathematicae Best Paper Prize (2022) Honorary Doctorate from Uppsala University Invited Plenary Speaker at the International Congress of Mathematicians (2022) Professor Stroppel has supervised numerous doctoral students, including current PhD candidates Jonas Nehme, Liao Wang, Lukas Bonfert, and Daniel Bermudez Montana. Her former PhD students include Till Wehrhan, Anna Mkrtchyan, Tashi Walde, Tomasz Przezdziecki, Arik Wilbert, Joanna Meinel, Hanno Becker, Antonio Sartori, Hoel Queffelec, Gisa Schaefer, and Sebastian Holzmann. She actively participates in the academic community through the Oberseminar Representation Theory (Darstellungstheorieseminar DAS), which she co-organizes with Johannes Flake, held Fridays 2:15-4pm in Endenicher Allee 60 - SR 1.008. Stroppel leads the Algebra and Representation Theory working group in Bonn and maintains strong connections with the Hausdorff Center for Mathematics, which recently received seven additional years of funding. Her research program continues to expand, with upcoming teaching responsibilities including V4A3 Representation Theory II for the WS25/26 semester.

• Representation theory of Lie algebras
• Knot theory and topology
• Categorification
• +۷ مورد دیگر

Iain Moffatt is a full-time Professor in the Department of Mathematics at Royal Holloway, University of London, and currently serves as the Head of Department. His research lies at the interface of combinatorics and topology, focusing on graph polynomials, delta-matroid theory, and their applications to knot theory and statistical mechanics. Education: MSci in Mathematics, University of St Andrews PhD in Mathematics, University of Warwick His research interests include algebraic combinatorics, graph theory, topology, and the application of graph theory to biology. He has contributed extensively to the study of topological extensions of graph polynomials, such as the Tutte and Penrose polynomials, and their connections to quantum invariants and knot theory. His recent work explores the Surface Tutte polynomial , delta-matroid theory , and hypermap polynomials , with a focus on deletion-contraction operations, partial duality, and algebraic structures. These studies often intersect with topological graph theory and combinatorial topology . Notable external roles include serving as Editor-in-Chief of the London Mathematical Society Newsletter (2016-2019) and organizing international conferences such as the SiMEGG: Structure in Matroids, Embedded Graphs and Graphs (2026). Grants & Projects: Hypermaps: Polynomials, Dualities, and Minors (2024-2025, EPSRC) Investigations of algebraic graphs of large girth (2023-2024, British Academy) Collaborative research with Prof. Sergei Lando (2017-2018, LMS)

• Algebraic combinatorics
• Graph theory
• Topology
• +۵ مورد دیگر