جستجوی استاد راهنمای دانشگاهی

Thomas Lam is a professor of mathematics at the University of Michigan , specializing in algebraic combinatorics, total positivity, and connections to mathematical physics. His work bridges cluster algebras, positive geometry, and integrable systems, with applications to scattering amplitudes in quantum field theory. Lam has collaborated extensively with physicists such as Nima Arkani-Hamed and mathematicians like Pavlo Pylyavskyy and Mark Shimozono. Key research areas: Cluster algebras, total positivity, electrical networks, positroid varieties, and quantum cohomology. Notable contributions: Defining polypositroids, proving regularity theorems for totally nonnegative flag varieties, and establishing cluster structures in braid varieties. Recent work focuses on positive geometries , including the amplituhedron and moduli spaces of points on projective lines, with implications for particle physics. His articles often explore dual graded graphs, K-theoretic Schubert calculus, and the interplay between combinatorics and algebraic structures. Lam's research has been supported by NSF grants, including DMS-0748636 and DMS-1249708 .

• Algebraic Combinatorics
• Total Positivity
• Cluster Algebras
• +۵ مورد دیگر

Nathan Reading is a Professor in the Department of Mathematics at North Carolina State University (NCSU). He holds a Ph.D. in Mathematics from the University of Minnesota (2002) and a B.S. in Physics from Stanford University (1995). His research focuses on algebraic and geometric combinatorics, particularly in Coxeter groups, cluster algebras, and lattice-theoretic approaches. He has been actively involved in organizing the Triangle Lectures in Combinatorics, a biannual research conference. His research interests include noncrossing partitions, cluster scattering diagrams, and the lattice theory of torsion classes. Recent work explores connections between Coxeter groups and combinatorial structures on surfaces. Reading has authored numerous papers on topics such as semidistributive lattices, scattering diagrams, and Cambrian frameworks. He teaches advanced combinatorics courses (e.g., MA 724: Combinatorics II) and has advised graduate students. His work has been supported by grants from the National Science Foundation (NSF), including DMS-1500949. Reading maintains an active presence in the mathematics community through publications, conference organization, and pedagogical contributions.

• Algebraic Combinatorics
• Geometric Combinatorics
• Coxeter Groups
• +۳ مورد دیگر

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
• +۴ مورد دیگر

David E Speyer is a Professor in the Department of Mathematics at the University of Michigan . His research focuses on algebraic problems with combinatorial flavors , particularly in tropical geometry , cluster algebras , and geometry of Lie groups . He has supervised multiple PhD students, including Shelby Cox, Will Dana, and John Wiltshire-Gordon, and collaborated on projects with undergraduates like Grant Barkley and Benjamin Branman. Education: PhD in Mathematics from UC Berkeley under Bernd Sturmfels; undergraduate at Harvard. Research: Key areas include tropical geometry , cluster algebras , and flag manifolds . His work often bridges combinatorics, algebraic geometry, and representation theory. Publications: Over 40 papers, including breakthroughs in cluster algebras , affine weak order , and braid variety cluster structures . Awards: Clay Research Fellow (2005-2010). Teaching: Coordinates courses like Math 593 (graduate algebra) and Math 214 , with a focus on inquiry-based learning .

• Tropical Geometry
• Cluster Algebras
• Combinatorics
• +۵ مورد دیگر

Pavel Galashin is an Associate Professor in the Department of Mathematics at the University of California, Los Angeles, where he joined in 2019 after completing his PhD at MIT under Alex Postnikov. His research focuses on algebraic combinatorics with emphasis on total positivity and cluster algebras. His primary research interests include algebraic combinatorics, total positivity, cluster algebras, amplituhedra, plabic graphs, positroids, and connections to mathematical physics. His work bridges combinatorics with algebraic geometry, representation theory, and theoretical physics, particularly in scattering amplitudes and integrable systems. Galashin's recent publications reveal a strong focus on braid varieties, positroid varieties, and their connections to cluster structures. His research shows significant interdisciplinary impact across combinatorics, algebraic geometry, and mathematical physics, with particular attention to geometric structures in scattering amplitudes and connections to knot theory. He has received an Alfred P. Sloan Research Fellowship and NSF funding through grants DMS-1954121 and DMS-2046915 (CAREER). Galashin advises multiple PhD students including Matthew Tyler, Ariana Chin, Thomas Martinez, and Olha Shevchenko, and co-mentors postdocs such as Terrence George and Colleen Robichaux. Together with Anton Bernshteyn, Terrence George, Igor Pak, and Colleen Robichaux, he organizes the UCLA Combinatorics Forum.

• Algebraic Combinatorics
• Total Positivity
• Cluster Algebras
• +۵ مورد دیگر

Joachim Kock is an Associate Professor at the Department of Mathematical Sciences, University of Copenhagen, with research focusing on category theory, homotopy theory, combinatorics, and algebraic geometry. His work explores intersections with probability theory, mathematical physics, and computer science, particularly through decomposition spaces, operads, and categorical structures. Education: Not explicitly mentioned External Employment: Professor Titular at Autonomous University of Barcelona Research Areas: Category theory and higher structures Homotopy-theoretic combinatorics Decomposition spaces and incidence algebras Applications in computer science and mathematical physics Recent Publications: 2024: ∞-operads as symmetric monoidal ∞-categories 2022: Tracelet Hopf Algebras and Decomposition Spaces 2022: Infinity-Operads as Analytic Monads 2021: Every 2-Segal space is unital 2021: Operadic categories and decalage Editorial Activities: Editor, Theory and Applications of Categories (since 2017) Editor, Higher Structures (2016–2022) Editor, Compositionality (since 2018)

• Category theory
• Homotopy theory
• Combinatorics
• +۴ 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
• Algebra
• Commutative Algebra
• +۷ مورد دیگر

Iain Gordon is a Professor and Head of the School of Mathematics at the University of Edinburgh. He holds a BSc in Mathematics from the University of Bristol and a Part III Mathematics degree from the University of Cambridge. His research focuses on representation theory, Lie algebras, quantum groups, and Cherednik algebras, with notable contributions to the study of symplectic reflection algebras and categorification. He has held positions at the University of Glasgow and Bielefeld University, and received the Seggie Brown Fellowship during his postdoc. As Head of School, he oversees the School’s academic mission, including the expansion of the Bayes Centre and the International Centre for Mathematical Sciences (ICMS). Education: BSc Mathematics, University of Bristol Part III Mathematics (MASt), University of Cambridge Key Roles: Professor of Mathematics, University of Edinburgh (2006–present) Head of School of Mathematics, University of Edinburgh (since 2017) His research interests revolve around algebraic structures with geometric interpretations, particularly Cherednik algebras and their connections to representation theory, combinatorics, and mathematical physics. Notably, he proved a significant combinatorial theorem linking noncommutative algebras and combinatorics, earning recognition in the mathematical community. His work has fostered interdisciplinary collaborations, bridging pure mathematics with emerging fields like quantum algebra and geometric representation theory. The School’s growth under his leadership, including the Bayes Centre’s expansion and ICMS initiatives, reflects his commitment to advancing mathematical research and education. Awards: Seggie Brown Fellowship, University of Edinburgh (Postdoc, early career support) Research Contributions: Pioneering studies on rational Cherednik algebras and their categories Geometric approaches to representation theory Applications of Cherednik algebras to symmetric functions and combinatorics His leadership emphasizes balancing research excellence with societal impact, exemplified by the School’s role in major UK government-funded initiatives for mathematical sciences.

• Representation Theory
• Algebra
• Lie Algebras
• +۳ مورد دیگر

Aslak Bakke Buan is a Professor of Mathematics at the Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), affiliated with the Faculty of Information Technology and Electrical Engineering. His research focuses on representation theory of finite-dimensional algebras, homological algebra (including triangulated categories), and combinatorial methods in representation theory (e.g., AR-theory and cluster combinatorics). He has been Vice Chair of the Department of Mathematical Sciences (2013–2017) and held leadership roles in projects like the NFR-funded 'Clusters, Combinatorics and Computations in Algebra' (2014–2017). Education: Dr.Scient. (PhD) in Mathematics from NTNU (2000), Cand.Scient. (Master’s) from Universitetet i Trondheim (1995). His work experience includes academic roles since 1996, with a postdoctoral fellowship (2003–2005) and professorship at NTNU since 2009. Research contributions span cluster algebras, silting theory, and triangulated categories. Notable recent work includes studies on tau-exceptional sequences, endomorphism algebras of silting complexes, and derived categories of decorated marked surfaces. His publications reflect interdisciplinary approaches between algebraic structures and geometric/topological methods. Awards include election to The Royal Norwegian Society of Sciences and Letters (2013). He has supervised 16 master’s students and 8 PhD students, and contributed to educational initiatives like the KTDiM project on mathematics education quality and accessibility. Teaching includes courses on cryptography, discrete mathematics, and representation theory.

• Representation theory of finite dimensional algebras
• Homological algebra
• Triangulated categories
• +۳ مورد دیگر

Kyle Ormsby is an Associate Professor of Mathematics and Department Chair at Reed College. His research focuses on homotopy theory, algebraic geometry, and combinatorics, with particular interests in operads, equivariant homotopy, and geometric data analysis. He teaches courses like Math 111 (Calculus), Math 201 (Linear Algebra), and Math 411 (Advanced Analysis). His work bridges abstract algebraic structures and combinatorial methods, often involving collaborations with students and researchers in homotopical combinatorics. Ormsby's research explores topics such as transfer systems, N∞ operads, and motivic homotopy theory, with applications to algebraic K-theory and geometric data analysis in neuroimaging. He has organized conferences like the 2024 Homotopical Combinatorics MRC and co-founded the Project Project lab for visualizing mathematical concepts. His publications span journals like Glasgow Mathematical Journal and Homology, Homotopy and Applications , with a focus on combinatorial and categorical approaches to homotopy theory. Ormsby mentors undergraduate research, resulting in student-authored papers such as Equivariant Linear Isometries Operads and Injectivity and Surjectivity of the Dress Map . His work emphasizes interdisciplinary connections, blending pure mathematics with computational tools and visualization.

• Homotopy Theory
• Algebraic Geometry
• Combinatorics
• +۳ مورد دیگر

Eon-Kyung Lee is a Professor in the Department of Mathematics and Statistics at Sejong University, South Korea. She has established herself as a prominent researcher in geometric group theory with a focus on braid groups, Garside theory, and right-angled Artin groups. Her academic career spans over two decades with continuous research output from 2000 to present. Her research interests encompass a specialized niche within pure mathematics, particularly focusing on Braid groups , Geometric group theory , Garside theory , and Right-angled Artin groups . These areas intersect with knot theory, combinatorial structures, and have potential applications in cryptography as evidenced by the fingerprint analysis of her work showing connections to cryptanalysis. Analysis of her 26 research publications reveals a consistent focus on theoretical group theory with increasing specialization in right-angled Artin groups in recent years. Her work demonstrates strong collaborative patterns, particularly with S.J. Lee on numerous publications. The research spans pure mathematics with one notable interdisciplinary publication in signal processing related to angle-of-arrival estimation, showing the practical applications of her theoretical work. Her scientific contributions include significant achievements such as establishing translation discreteness of Garside groups, developing new presentations for pure braid groups, and advancing understanding of Temperley-Lieb algebras and braid groups of imprimitive complex reflection groups. Professor Lee maintains an active research profile with publications in reputable journals including the Journal of Knot Theory and its Ramifications, International Journal of Algebra and Computation, and Bulletin of the Korean Mathematical Society. She has an h-index of 8 with 208 citations according to Scopus data, reflecting the impact of her research within the mathematical community.

• Braid groups
• Geometric group theory
• Garside theory
• +۵ مورد دیگر

Prosenjit Bose is Chancellor's Professor in the School of Computer Science at Carleton University and Associate Dean of Research and International for the Faculty of Science. He holds PhD and MMath degrees from McGill University and University of Waterloo. Research specializes in computational geometry, graph algorithms, and geometric data structures. Core focuses: Geometric spanners and routing Online algorithms Graph embeddings Approximation methods Recipient of Carleton Research Achievement Award (2021), Premier's Research Excellence Award (2006), and multiple best paper awards. Directs the Computational Geometry Lab and has supervised 100+ graduate students. Served as NSERC Leader for Carleton University. Research applications include network routing, VLSI design, and geographic information systems.

• Computational Geometry
• Algorithms
• Data Structures
• +۲ مورد دیگر

Kyle Ormsby is an Associate Professor and Chair of the Department of Mathematics at Reed College, with an affiliate appointment as Associate Professor at the University of Washington. His expertise lies at the intersection of algebraic topology, algebraic geometry, and combinatorics. He holds a Ph.D. from the University of Michigan (2010) and a B.A. from the University of Chicago (2006). Ormsby's research focuses on motivic and equivariant homotopy theory, including studies of transfer systems, operads, and applications to geometric data analysis in neuroimaging. He has been awarded multiple NSF grants, including leadership roles in the Electronic Computational Homotopy Theory (eCHT) Research Community and the National Alzheimer’s Coordinating Center. He has advised numerous undergraduate theses and research projects, mentoring students in topics ranging from knot theory to persistent homology. His teaching spans calculus, linear algebra, topology, and advanced analysis, emphasizing inclusive pedagogy and visualization. Key honors include the NSF Mathematical Sciences Postdoctoral Fellowship (2011–2014), Rackham Fellowship (2010), and Honorable Mention for the NSF Graduate Research Fellowship (2006).

• Algebraic Topology
• Algebraic Geometry
• Combinatorics
• +۴ مورد دیگر

Jeremy L. Martin is a Professor and Director of Graduate Studies in the Department of Mathematics at the University of Kansas. His research focuses on algebraic combinatorics, algebraic geometry, and discrete geometry, with particular interests in simplicial complexes, hyperplane arrangements, and combinatorial Hopf algebras. He actively organizes conferences such as the Graduate Research Workshop in Combinatorics (GRWC) and the Great Plains Combinatorics Conference. Dr. Martin advises current graduate students including Mark Denker and May Bee Trist. He has contributed to foundational work in matroid theory, Ehrhart theory, and the combinatorics of simplicial complexes. His teaching spans advanced courses in algebraic combinatorics, graph theory, and calculus, emphasizing honors education. He is a Handling Editor for Combinatorial Theory and previously led Frontiers for Young Minds , promoting science communication for younger audiences. He is a core member of the KU Combinatorics Group and has organized workshops and seminars, fostering collaboration in discrete mathematics. His research bridges pure and applied mathematics, leveraging combinatorial techniques to address problems in algebraic geometry and topology.

• Combinatorics
• Algebraic Geometry
• Discrete Geometry
• +۳ مورد دیگر

Ian Goulden is a Professor in the Department of Combinatorics and Optimization at the University of Waterloo, within the Faculty of Mathematics. His research focuses on algebraic combinatorics, with contributions to permutation factorizations, meandric systems, and enumerative combinatorics. He has held positions at the institution since at least 2009, contributing to both research and teaching. He was elected a Fellow of the Royal Society of Canada in 2010 for his research and received the Faculty of Mathematics Award for Distinction in Teaching in 2009. His work integrates advanced algebraic techniques with combinatorial problems, often involving geometric and topological interpretations. Contact information includes his office at MC 6024 and email ipgoulden@uwaterloo.ca . His research has explored topics like genus-related combinatorial structures and asymptotic analysis of meandric systems.

• Algebraic Combinatorics
• Combinatorial Enumeration
• Combinatorics
• +۳ مورد دیگر