جستجوی استاد راهنمای دانشگاهی

Abdellah Sebbar is a Full Professor in the Department of Mathematics and Statistics at the University of Ottawa. He holds a PhD from Stony Brook University (1993-1997) and prior degrees from Rabat and Strasbourg. His research focuses on number theory, algebraic geometry, and modular forms, with specialties in elliptic curves, moonshine theory, and quantum groups. He has authored over 40 publications, including works on Schwarzian equations and equivariant functions. His career includes roles as CRM-ISM Postdoctoral Fellow (1997-1999), CMS Instructor (1999-2001), and Associate Professor (2004-2013) before attaining his current rank. He advises graduate students and collaborates on projects involving modular subgroups and automorphic forms. Education: 1992: BSc in Pure Mathematics, Rabat 1992-1993: DEA (Master's), Strasbourg 1993-1997: PhD in Mathematics, Stony Brook (Fulbright Scholar) Research Interests: Modular forms and functions Elliptic curves and surfaces Discrete groups and moonshine Quantum groups and mathematical physics Schwarzian differential equations Professional Timeline: 2013–Present: Full Professor, UOttawa 2004–2013: Associate Professor, UOttawa 2001–2004: Assistant Professor, UOttawa His recent work emphasizes applications of Schwarzian equations to modular forms and automorphic differential equations. Collaborative efforts with Hicham Saber and others explore equivariant functions and vector-valued modular forms. He has supervised multiple PhD/MSc students, including co-supervision with Damien Roy.

• Number Theory
• Algebraic Geometry
• Arithmetic Geometry
• +۷ مورد دیگر

Gregory G. Smith is a Professor in the Department of Mathematics and Statistics at Queen's University, affiliated with the Faculty of Arts and Science. His research focuses on algebraic geometry, commutative algebra, and symbolic computation, with a particular interest in the interplay between positivity, convexity, and combinatorial structures. He holds a B.ScH from Queen's University, an MA from Brandeis University, and a PhD from the University of California, Berkeley. His research contributions include work on Hilbert schemes, toric varieties, and computational algebra, with publications in top-tier journals such as the Journal of the American Mathematical Society and Compositio Mathematica . He has received prestigious awards, including the Coxeter-James Prize (2012) and the André-Aisenstadt Prize (2007). Smith is also an editor of the Journal of Software for Algebra and Geometry . He has advised multiple graduate students, including Sasha Zotine (PhD 2024) and Benjamin Hersey (PhD 2021). His teaching spans undergraduate and graduate courses in algebra, geometry, and combinatorics, emphasizing rigorous mathematical reasoning and computational tools.

• Algebraic Geometry
• Commutative Algebra
• Symbolic Computation
• +۱ مورد دیگر

Colin Ingalls is a Full Professor in the School of Mathematics and Statistics at Carleton University. His research focuses on Noncommutative Algebra and Algebraic Geometry, with contributions to areas such as noncommutative resolutions, quiver representations, and birational geometry. He has advised numerous graduate students, including Master’s and PhD candidates, whose theses cover topics like Hochschild cohomology, McKay quivers, and Brauer pairs. Ingalls has an extensive publication record, with recent work exploring reflection groups, discriminant loci, and derived categories of algebraic structures. His research interests span the intersection of algebra and geometry, emphasizing noncommutative methods to address classical geometric problems. He maintains active collaborations, evidenced by co-authored papers on topics such as minimal model programs for orders and applications of Koszul duality. Ingalls’ work bridges abstract algebraic theory with geometric constructions, contributing to foundational advancements in these fields.

• Noncommutative Algebra
• Algebraic Geometry

Dr. Jenna Rajchgot is an Associate Professor in the Department of Mathematics and Statistics at McMaster University, where she has been employed since 2020. Previously, she held positions as an Assistant Professor at the University of Saskatchewan, a Postdoctoral Fellow at the University of Michigan, and a Research Member at the Mathematical Sciences Research Institute (MSRI) in California. Education includes: Ph.D. in Mathematics from Cornell University (2013) M.S. in Mathematics from Cornell University (2010) B.Sc.H in Mathematics and Statistics from Queen's University (2007) Her research focuses on pure mathematics, particularly the intersection of algebraic geometry, commutative algebra, and combinatorics. She investigates algebro-geometric and combinatorial properties of algebraic varieties with large symmetry groups, developing novel techniques for their analysis. Key themes include Schubert varieties, geometric decompositions, combinatorial formulas, and invariants of algebraic structures. Recent publications (2015-2024) demonstrate strong emphasis on combinatorial algebraic geometry, with recurring exploration of Gröbner bases, vertex decompositions, liaison theory, quiver varieties, and Castelnuovo-Mumford regularity. Her work consistently bridges abstract algebra with combinatorial structures across diverse mathematical contexts. Dr. Rajchgot leads the Combinatorial Algebraic Geometry research group at McMaster, comprising three faculty members, postdoctoral researchers, and graduate students ( group link ). This collaborative team investigates problems spanning algebraic combinatorics and geometric methods.

• Algebraic Geometry
• Commutative Algebra
• Combinatorics
• +۳ مورد دیگر

Eckhard Meinrenken is a Professor in the Department of Mathematics at the University of Toronto , specializing in Symplectic Geometry , Mathematical Physics , Lie Theory , and Differential Geometry . His research spans geometric structures in infinite-dimensional settings, including Hamiltonian loop group spaces, Dirac geometry, and applications of equivariant cohomology. Fellow of the Royal Society of Canada (FRSC) Author of influential monographs such as Clifford Algebras and Lie Theory (Springer, 2013) and Manifolds, Vector Fields and Differential Forms (Springer, 2023) Research Trends: Recent work focuses on moduli spaces, singular weightings, Manin pairs, and Verlinde formulas, bridging symplectic geometry with algebraic and topological invariants. His publications emphasize geometric quantization, Poisson structures, and infinite-dimensional Lie theory. Scientific Awards: Fellow of the Royal Society of Canada (FRSC) Collaborations: Frequent collaborations with researchers like Anton Alekseev, Yiannis Loizides, and David Li-Bland on problems in symplectic topology, loop groups, and Dirac geometry.

• Symplectic Geometry
• Mathematical Physics
• Lie Theory
• +۱ 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 .

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

Simon Henry is an Associate Professor in the Department of Mathematics and Statistics at the University of Ottawa, Faculty of Science. His research focuses on category theory, higher category theory, topos theory, and their applications in non-commutative geometry and constructive mathematics. He earned his PhD under Alain Connes (2010–2014), studying the interplay between topos theory and operator algebras. Since 2015, his work has expanded into higher category theory, including strictification theorems and the Simpson conjecture. Active on MathOverflow, he contributes to categorical logic, homotopy type theory, and foundational mathematics. Research interests include categorical homotopy theory, model categories, and the Grothendieck homotopy hypothesis. His publications explore inductive model structures, locale theory, and constructive approaches to metric spaces. He supervises students in these areas and maintains an arXiv profile with over 20 papers. Key contributions include work on ∞-categories, topos-based non-commutative geometry, and categorical foundations for univalent foundations. He also explores connections between Feynman diagrams and category theory, reflecting his interdisciplinary approach to mathematical structures.

• Category Theory
• Higher Category Theory
• Homotopy Type Theory
• +۴ مورد دیگر

Jake Levinson is an Assistant Professor in the Department of Mathematics and Statistics at Université de Montréal. His research focuses on algebraic geometry and algebraic combinatorics, with particular interests in moduli spaces, Schubert calculus, toric varieties, and equivariant free resolutions. He previously held positions at Simon Fraser University (2020–2023), the University of Washington (2017–2020), and completed a postdoctoral fellowship at LaCIM (UQAM). His Ph.D. from the University of Michigan (2017) was advised by David Speyer. Research Interests: - Algebraic Geometry: Moduli spaces, Schubert calculus, toric varieties, homological algebra. - Algebraic Combinatorics: Crystal graphs, Young tableaux, representation theory, combinatorial aspects of algebraic geometry. - Recent work includes studies on Schubert curves, Springer fibers, and applications of algebraic methods to problems in combinatorics and theoretical computer science. Teaching: - Taught MAT 6620 (Algebraic Geometry: Schemes) at Université de Montréal (Winter 2024). - Previously taught courses on intersection theory, representation theory, and Lean formal proof systems. Key Contributions: - Developed combinatorial models for Schubert curves using crystals and tableaux. - Contributed to Boij-Söderberg theory for Grassmannians and studies of class groups in algebraic geometry. - Collaborated on projects linking algebraic geometry to neural networks and random matrix theory.

• Algebraic Geometry
• Algebraic Combinatorics
• Moduli Spaces
• +۵ مورد دیگر

Hadi Salmasian is a Full Professor in the Department of Mathematics and Statistics at the University of Ottawa, Faculty of Science. He holds a PhD from Yale University and specializes in Lie groups, Lie algebra representations, and related areas of algebra and mathematical physics. Education: PhD in Mathematics, Yale University Research Interests: Dr. Salmasian's research focuses on representation theory of Lie groups and Lie superalgebras, quantum groups, invariant theory, and applications to mathematical physics. His work explores topics such as Capelli eigenvalue problems, spherical functions on supergroups, and polynomiality of faithful dimensions for nilpotent groups. Recent Research Trends: His publications emphasize the interplay between algebraic structures (e.g., Weyl algebras, quantum homogeneous spaces) and representation-theoretic techniques, with applications to quantum computing and cryptography. Notable themes include classification of dual pairs in Lie supergroups and development of hash functions over finite groups. Awards: No awards explicitly mentioned in the provided texts. Advising & Grants: Supervised students include Manal Al-Zahrani, Mengyuan Cao (co-supervised with Monica Nevins), Dene Lepine, and Mitra Mansoori. Postdoctoral researchers include Ali Assem Mahmoud (co-supervised with Anne Broadbent and Monica Nevins). Research activities involve collaboration with groups in algebra and Lie theory. Labs/Teams: Active in research groups focused on algebra, Lie theory, and representation theory within the Department of Mathematics and Statistics at the University of Ottawa.

• Lie Groups
• Representation Theory
• Algebra
• +۴ مورد دیگر

George Elliott is a Professor at the University of Toronto, holding the title of Canada Research Chair and is a Fellow of the Royal Society of Canada (FRSC). He is affiliated with the Bahen Centre on the Downtown Toronto (St. George) campus. His research focuses on advanced mathematical fields including Operator Algebras, K-theory, and Non-Commutative Geometry. These areas explore the interplay between algebraic structures and geometric concepts, contributing to foundational developments in mathematics. Dr. Elliott’s work has been recognized through prestigious awards and his academic leadership roles. His contact information includes an office at Bahen Centre, Room 6242, and an email address: elliott@math.toronto.edu.

• Operator Algebras
• K-theory
• Non-Commutative Geometry

Ben Williams is an Associate Professor in the Department of Mathematics at the University of British Columbia, Faculty of Science. His office is located in MATX 1205 in UBC's Math Annex building. He is actively involved in research supervision, teaching undergraduate courses including Math 221 (Matrix Algebra) and Math 426 (Introduction to Topology), and has developed educational resources such as a free online textbook for Math 221. Dr. Williams' research focuses on algebraic topology, motivic homotopy theory, and A1 homotopy theory, with particular emphasis on applying homotopy-theoretic methods to problems in algebra and algebraic geometry. His work has significantly advanced understanding of Azumaya algebras, Brauer groups, and the period-index problem. His research bridges abstract algebra with topological methods, creating novel connections between seemingly disparate mathematical domains. He has made substantial contributions to the understanding of the relationship between period and index of Brauer classes, extending classical results using modern homotopy-theoretic techniques. Analysis of Dr. Williams' publication record reveals a consistent trajectory of sophisticated work at the intersection of algebra and topology. His collaborations with mathematicians like Ben Antieau, Aravind Asok, and Uriya First demonstrate his position within an active research network. His publications in top journals including Inventiones Mathematicae, Geometry & Topology, and Journal of the European Mathematical Society reflect the high impact of his research. The progression of his work shows increasing depth in applying motivic homotopy theory to solve challenging problems in algebraic geometry and representation theory. Dr. Williams is actively involved in mentoring the next generation of mathematicians, currently supervising PhD student Sebastian Gant and MSc students Molly Blackburn and Peilin Li. He has organized several major conferences including multiple Cascade Topology Seminars, the New Trends in Algebra, Geometry and Homotopy Theory conference, and the Séminaire de Mathématiques Supérieures 2022 on Floer Homotopy Theory. His service to the mathematical community through conference organization and editorial work demonstrates his commitment to advancing research in his field and fostering academic collaboration.

• Algebraic topology
• Motivic homotopy theory
• A1 homotopy theory
• +۳ مورد دیگر

Zinovy Reichstein is a Professor in the Department of Mathematics at the University of British Columbia, Faculty of Science. His research focuses on algebra, algebraic geometry, and algebraic groups. He serves on the editorial board for Transformation Groups and supervises graduate students in Mathematics (MSc and PhD programs). His research interests span various areas of pure mathematics, particularly focusing on: Algebraic groups and their representations Essential dimension theory and its applications Galois cohomology and field theory Invariant theory and geometric invariant theory Algebraic geometry, particularly related to moduli spaces Reichstein's recent publications (2022-2025) demonstrate a strong focus on essential dimension theory, algebraic groups, and related areas in algebra and geometry. His work often connects abstract algebra with geometric methods, exploring problems related to Hilbert's 13th problem, Brauer groups, and specialization phenomena. Many of his papers investigate the interplay between group actions, field extensions, and algebraic structures, with particular attention to problems in prime characteristic. His professional activities include: Member of the editorial board for Transformation Groups Supervision of graduate students in Mathematics Extensive publication record in top mathematics journals Reichstein teaches undergraduate courses including Math 300 (Introduction to complex variables) during Term 2 (January-April 2024).

• Algebra
• Algebraic geometry
• Algebraic groups
• +۳ مورد دیگر

Stephen Scully is an Assistant Professor in the Department of Mathematics and Statistics at the University of Victoria, within the Faculty of Science. His research focuses on advanced algebraic topics including quadratic forms, projective homogeneous varieties, algebraic cycles, motives, and Milnor K-theory. He currently teaches courses such as MATH 212 (Introduction to Algebra), MATH 493 (Topics in Pure Mathematics), and MATH 510 (Abstract Algebra) in Fall 2024, alongside MATH 412 (Abstract Algebra II) in Spring 2025. Stephen Scully holds a PhD from the University of Nottingham. His research interests span several key areas in modern mathematics: quadratic forms and their generalizations to higher-degree forms, the study of projective homogeneous varieties, algebraic cycles and their relations to motives, and the exploration of Milnor K-theory. These areas intersect algebra, geometry, and number theory, with a particular emphasis on structural properties of algebraic objects and their applications in broader mathematical frameworks. His publications reflect a sustained engagement with quadratic forms, K-theory, and algebraic geometry, with notable contributions to the understanding of function fields of quadrics, splitting behaviors of forms, and the interplay between algebraic cycles and motives. Recent work includes advancements in the Artin-Springer theorem and Milnor-Witt K-groups, demonstrating a deepening focus on foundational algebraic structures and their applications in geometric contexts. No scientific awards are listed for Stephen Scully in the provided text. Stephen Scully does not have listed advisees or grants in the provided text. He is actively involved in teaching advanced mathematics courses at the undergraduate and graduate levels. There is no specific mention of labs or research teams affiliated with Stephen Scully in the text.

• Quadratic forms
• Forms of higher degree
• Projective homogeneous varieties
• +۳ مورد دیگر

Mikael Pichot is an Associate Professor in the Department of Mathematics and Statistics at McGill University, located in Montreal, Quebec. His research focuses on Geometric Group Theory, Analysis, and related areas such as Operator Algebras and Metric Geometry. He is actively involved in organizing academic events and seminars, including the Group Theory Seminar and CRM-ISM Colloquium, and has contributed to numerous collaborations, often with co-authors like Sylvain Barre and Robert Graham. His teaching includes courses such as Math 223 (Linear Algebra) and Math 570/571 (Higher Algebra sequences). Pichot's research interests span topics like geometric group actions, sofic dimension, L2 invariants, and random groups. He has published extensively in peer-reviewed journals and presented at international conferences. His work often bridges algebraic, geometric, and analytic approaches to group theory. Despite his active academic contributions, no specific awards or grants are explicitly listed in the provided texts. He maintains a personal webpage and collaborates on projects such as 'Surgery on discrete groups' and 'Random groups and nonarchimedean lattices.' His research also touches on foundational questions in operator algebras and geometric topology, reflecting a deep engagement with the structural properties of groups and their applications.

• Geometric Group Theory
• Analysis
• Group Theory
• +۳ مورد دیگر

Pavlos Motakis is an Assistant Professor in the Department of Mathematics and Statistics at York University, Toronto, Canada. He holds a PhD in Mathematics from the National Technical University of Athens. Previously, he was a J.L. Doob Research Assistant Professor at the University of Illinois at Urbana-Champaign and a Visiting Assistant Professor at Texas A&M University. His research focuses on functional analysis, particularly the study of operators on Banach spaces, algebras of operators, and the local and asymptotic structure of Banach spaces. Key interests include hereditarily indecomposable Banach spaces, L∞-spaces, and metric characterizations of non-local properties. Recent work explores topics such as orthogonal factors of operators on Rosenthal spaces, variants of the James Tree space, and reflexive Calkin algebras. His publications reflect a deep engagement with advanced structural properties of Banach spaces and operator algebras. Dr. Motakis currently holds no listed scientific awards but maintains an active research agenda in pure mathematics. His advising and grant activities are not detailed in available records, though his academic career demonstrates consistent contributions to functional analysis through teaching and research. He is affiliated with the Faculty of Science at York University, contributing to both undergraduate and graduate programs in mathematics and statistics. His office is located in the Ross Building, S618.

• Functional Analysis
• Operator Theory
• Banach Space Theory
• +۴ مورد دیگر