جست‌وجوی استاد و پژوهشگر

Alexander Scottمشاهده پروفایل

استاد

• Combinatorics
• Probability
• Algorithms
• +۳ مورد دیگر

Professor Alexander Scott is a faculty member at the University of Oxford, holding positions as Professor of Mathematics and Dominic Welsh Tutor in Mathematics at Merton College. His research focuses on combinatorics, probability, algorithms, and graph theory, with a particular interest in the interplay between local and global structures in networks. He has organized the Oxford Combinatorics Seminar and co-founded the online Oxford Discrete Mathematics and Probability Seminar, fostering collaboration in these fields. Professor Scott’s work bridges theoretical foundations with applications in statistical physics and algorithmic design. He has supervised numerous graduate students in combinatorics and regularly teaches undergraduate courses in analysis and discrete mathematics. His contributions include advancements in extremal graph theory, probabilistic methods, and structural combinatorics, with over 150 publications in prestigious journals. He actively organizes academic events such as the annual One-Day Meeting in Combinatorics, hosting speakers from around the world. Despite the absence of explicit awards noted, his prolific research output and academic leadership reflect significant contributions to the field. His current interests continue to explore the Erdős-Hajnal conjecture, induced subgraph densities, and algorithmic challenges in combinatorial structures.

Julie Bergnerمشاهده پروفایل

استاد

• Homotopy Theory
• Algebraic Topology
• Algebraic K-Theory
• +۳ مورد دیگر

Julie Bergner is a Professor in the Department of Mathematics at the University of Virginia. She is currently on sabbatical during 2024-25 as a Visiting Fellow at Clare Hall, University of Cambridge. Her research focuses on Homotopy Theory, Algebraic Topology, Algebraic K-Theory, and Category Theory, with a particular emphasis on higher category theory and homotopical algebraic structures. University of Virginia (Professor, Department of Mathematics) University of Cambridge (Visiting Fellow at Clare Hall, 2024-25) Her work spans 2-Segal objects, model categories, Waldhausen constructions, and applications to topological field theories. She has received NSF CAREER awards for her research on equivariant topological field theories and higher cluster categories. Her recent publications explore combinatorial models, enriched categories, and homotopy limits in the context of functor calculus and higher structures. Julie Bergner contributes to mathematical exposition through articles on writing papers in the mathematical sciences and homotopy theory applications. She is actively involved in the department's topology seminar and supports collaborative learning initiatives. Her research has implications in algebraic topology, category theory, and their interdisciplinary applications.

Philip Hackneyمشاهده پروفایل

دانشیار

• Algebraic Topology
• Higher Category Theory
• Operad Theory
• +۱ مورد دیگر

Philip Hackney is Associate Professor and Devon Endowed Professor of Mathematics at the University of Louisiana at Lafayette, specializing in algebraic topology and higher category theory. He holds a Ph.D. and M.S. from Purdue University and B.S. from Central Michigan University. Prior to joining UL Lafayette, he was a research fellow at the Centre of Australian Category Theory in Sydney. Research Focus: His work employs abstract homotopy theory to study higher structures including operads and their generalizations, with applications in mathematical physics and geometry. Publication Trends: Recent articles focus on advanced category theory, operadic structures, and homotopical methods. Research demonstrates consistent exploration of higher-dimensional algebraic structures through combinatorial and topological approaches, with frequent applications in mathematical physics contexts.

Joachim Kockمشاهده پروفایل

دانشیار

• Category theory
• Homotopy theory
• Combinatorics
• +۴ 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)

• Algebraic Geometry
• Algebraic Topology
• Moduli Spaces
• +۳ مورد دیگر

Dan Petersen is a Professor of Mathematics at Stockholm University, specializing in the intersection of algebraic geometry and algebraic topology with a focus on moduli spaces. His research explores topics such as cohomology theories, homological stability, and geometric structures. He has advised PhD students including Erik Lindell, Louis Hainaut, Josefien Kuijper, and Oliver Lindström. His work frequently intersects with geometric topology, number theory, and representation theory, as seen in his recent publications on handlebody groups, Mumford conjectures, and configuration spaces. Collaborations with postdocs such as Johan Alm, Marcel Rubió, and Sylvain Douteau highlight his involvement in advanced research networks. His contributions to algebraic structures and topological methods have advanced understanding in both pure and applied mathematics contexts.

• Combinatorial group theory
• Geometric semigroup theory
• Algorithmic problems in algebra
• +۶ مورد دیگر

Robert D. Gray is a Professor of Mathematics at the School of Mathematics, University of East Anglia. His research focuses on combinatorial and geometric group and semigroup theory, algorithmic problems in algebra, decidability, homological finiteness properties, and group actions on graphs and topological spaces. EPSRC Research Fellow Editorial Board: International Journal of Algebra and Computation Available for PhD supervision in semigroup and inverse monoid theory His recent work explores: Topological finiteness properties of monoids Undecidability in one-relator inverse monoids Algorithmic properties of inverse monoids Maximal subgroups in special inverse monoids Key article trends include: Geometric and algorithmic aspects of inverse monoids Homological properties of semigroups Connections between group theory and semigroup theory Applications to graph theory and automata Scientific Awards: EPSRC Fellowship EP/V032003/1 EPSRC grant EP/N033353/1 EPSRC Postdoctoral Fellowship EP/E043194/1 Contact: Room S1.29, School of Mathematics, University of East Anglia, Norwich NR4 7TJ. Email: Robert.D.Gray@uea.ac.uk . Phone: +44 1603 591443.

Joseph Chuangمشاهده پروفایل

استاد

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

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

Chris Kapulkinمشاهده پروفایل

دانشیار

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

Chris Kapulkin is an Associate Professor in the Department of Mathematics at the University of Western Ontario. His research focuses on Homotopy Theory, Higher Category Theory, Combinatorics, and Formalization of Mathematics using Homotopy Type Theory, with applications to Cryptography. He is a member of the Canadian Journal editorial boards and serves on scientific advisory boards such as Banff International Research Station. He has organized numerous conferences and workshops, including the Mathematical Congress of the Americas (2025) and HoTTEST Summer School (2022). Kapulkin actively supervises PhD and Master's students, postdocs, and undergraduate researchers, contributing to over 20 academic publications since 2011. His awards include the Coxeter-James Prize (2025) and Florence Bucke Science Prize (2024). He leads the Western Cryptography Research Group and co-founded the HoTT Electronic Seminar Talks, fostering interdisciplinary collaboration in category theory and type theory. Research Interests: Kapulkin’s work bridges abstract mathematics and foundational computer science. He explores synthetic approaches to homotopy theory, categorical structures in discrete mathematics, and the formalization of mathematical proofs using type theory. His cryptographic research applies algebraic methods to secure integer comparisons and multilinear maps. Notable contributions include contributions to the Homotopy Type Theory Book (2013) and foundational papers on simplicial models of univalence (2021). Grants & Funding: Holder of the Distiguished Research Professorship (2022-23), recipient of C$20,000 interdisciplinary funding (2016-17) for cryptographic research, and a member of the Mathematical Sciences Research Institute (2022-23). His work has been supported through multiple conference organization grants and academic fellowships. Labs/Teams: Faculty mentor of the Western Cryptography Research Group and co-founder of the HoTTEST seminar series. Active in organizing the Directed Reading Program and Geometry/Topology Seminar at Western University.

David Barnesمشاهده پروفایل

مدرس ارشد

• Algebraic Topology
• Homotopy Theory
• Equivariant Homotopy Theory
• +۴ مورد دیگر

David Barnes is a Senior Lecturer at the School of Mathematics and Physics, Queen's University Belfast, affiliated with the Mathematical Sciences Research Centre. His office is located in Room 01.026 of the Old Physics building. He actively accepts PhD students in advanced mathematical disciplines. Dr. Barnes specializes in pure mathematics with research interests spanning: Algebraic topology and homotopy theory Equivariant and stable homotopy structures Homotopical algebra and model categories Profinite group applications in topology Functor calculus and operadic structures His recent publications (2021-2024) focus on equivariant homotopy theory for profinite groups, algebraic models for spectra, and operad theory. This work bridges abstract algebra, category theory, and topological structures, consistently exploring group-equivariant phenomena. Notable recognition includes: Best Paper Award at IMIOT & ICSEE Conference 2018 (jointly received) He maintains active academic collaborations, serves as principal investigator on research projects, and regularly participates in international conferences with invited talks scheduled through 2025.

• Homotopy Theory
• Operads
• Topos Theory
• +۴ مورد دیگر

Professor Ieke Moerdijk holds a professorship in the School of Mathematical and Physical Sciences at the University of Sheffield, maintaining an active research profile in pure mathematics with over four decades of scholarly contributions. His work bridges abstract mathematical frameworks with concrete topological structures, evidenced by his extensive publication record and authorship of foundational monographs in specialized fields. Moerdijk's research spans Homotopy Theory, Operads, Topos Theory, Foliations, Lie Groupoids, and Category Theory. He is particularly renowned for pioneering dendroidal set theory as a combinatorial foundation for ∞-operads, and for significant advances in the structural understanding of foliations and Lie groupoids. His interdisciplinary approach connects algebraic topology with categorical logic and geometric structures, yielding profound insights across multiple mathematical domains. Analysis of his 15 most recent publications (2012-2024) reveals a sustained focus on operadic structures and homotopical methods, with increasing emphasis on dendroidal frameworks and ∞-categorical equivalences. Key collaborations with researchers like van den Berg, Heuts, and Hoffbeck demonstrate his integrative approach, moving from foundational model category constructions toward unifying different paradigms in higher algebra. This trajectory highlights both technical mastery and conceptual innovation in modern abstract mathematics. Scientific Awards: No specific awards are documented in the available institutional records. Advising and Grants: Moerdijk leads the Topology research group at Sheffield, fostering collaborative work in algebraic topology and category theory. He has served as coinvestigator on EPSRC-funded projects, notably the Workshop on Lie Algebroids and Lie Groupoids in Differential Geometry, demonstrating sustained engagement with the international mathematical community through grant-supported initiatives and conference organization. Labs and Teams: He is central to the Topology research group within Sheffield's School of Mathematical and Physical Sciences, where his expertise in categorical structures and homotopy theory informs group seminars, collaborative projects, and methodological approaches to contemporary problems in pure mathematics.

• Representation Theory of Algebras
• Derived Categories
• Homological Algebra
• +۳ مورد دیگر

Dr Joseph Grant is a Lecturer in Pure Mathematics at the University of East Anglia, affiliated with the School of Engineering, Mathematics and Physics and the Algebra, Number Theory, Logic, and Representations (ANTLR) research group. He holds a PhD and has held postdoctoral positions including a JSPS Fellowship at Nagoya University (2010–2011) and a Research Fellowship in Algebra at the University of Leeds (2012–2014). Education & Academic Background: JSPS Postdoctoral Fellow, Nagoya University (2010–2011) Research Fellow in Algebra, University of Leeds (2012–2014) Research Interests: Joseph's research focuses on advanced algebraic structures and categorification, including: Representation theory of algebras Derived categories and homological/homotopical algebra Cluster algebras and cluster categories Category theory and categorification Grants & Projects: Computational searches for fractional Calabi-Yau algebras (LMS, 2023) Research in Pairs – Scheme 4 (LMS, 2022) Financial Support for Conferences – Scheme 1 (LMS, 2016) Teaching: Joseph has taught a wide range of courses including Differential Geometry, Linear Algebra, Real Analysis, and specialized topics like Quivers and Representations. His teaching spans both undergraduate and graduate levels at the University of East Anglia. Research Contributions: His work bridges algebraic structures with categorical methods, emphasizing categorification and derived equivalences. Recent projects explore fractional Calabi-Yau algebras and applications of braid groups to quiver mutations.

• Algebraic Topology
• Stable Homotopy Theory
• Algebraic K-Theory
• +۳ مورد دیگر

Cary Malkiewich is an Associate Professor at Binghamton University since 2017, holding a Ph.D. from Stanford University (2014). His research focuses on algebraic topology, with emphasis on stable homotopy theory, algebraic K-theory, and applications to manifolds and cell complexes. A key contribution is his 2022 proof that scissors congruence is described by a Thom spectrum, advancing its implications in geometric topology. Research interests include exploring scissors congruence groups, homotopy theory, and their connections to K-theory and geometric structures. Notable work includes studies on parametrized spectra, periodic-point structures, and functoriality in equivariant cobordisms. He has published extensively on topics such as homological stability, topological restriction homology, and categorical frameworks for spectra. Education: Ph.D. in Mathematics, Stanford University, 2014 Professional Activities: Currently on leave for Fall 2025 Awards: None explicitly listed His work bridges abstract algebraic structures with geometric intuition, with recent focus on foundational aspects of scissors congruence and topological cyclic homology.

Sanath Devalapurkarمشاهده پروفایل

پژوهشگر ارشد

• Algebraic Topology
• Geometric Representation Theory
• Chromatic Homotopy Theory
• +۲ مورد دیگر

Sanath Devalapurkar is a Dickson instructor in the Department of Mathematics at the University of Chicago for the 2025-26 academic year, with upcoming positions at the Institute for Advanced Study (Fall 2026) and Johns Hopkins University (as Assistant Professor thereafter). His academic career spans prestigious institutions including Harvard University and MIT. His educational background includes: PhD in Mathematics from Harvard University (completed 2025), advised by Mike Hopkins and Dennis Gaitsgory Undergraduate degree in Mathematics (Course 18) with a minor in Physics (Course 8) from MIT (completed 2020) Devalapurkar's research spans multiple interconnected areas of modern mathematics. His primary interests lie in algebraic topology, particularly chromatic homotopy theory and its connections to other fields. He investigates characteristic p geometry, exploring deep connections between homotopy theory and arithmetic geometry. His work in geometric representation theory focuses on the geometric Langlands program and its generalizations, especially through the lens of higher category theory and derived algebraic geometry. A unifying theme in his research is the application of homotopical methods to solve problems in representation theory and algebraic geometry, often revealing unexpected connections between seemingly disparate mathematical domains. His work demonstrates sophisticated use of spectral sequences, EHP sequences, and Hopf fibrations to bridge abstract homotopy theory with concrete geometric problems. His publication record demonstrates a consistent trajectory from foundational work in unstable homotopy theory toward increasingly sophisticated applications in geometric representation theory. Early publications established results in chromatic phenomena and Thom spectra, while more recent work explores intricate connections between geometric Langlands duality and generalized cohomology theories. His research shows particular strength in identifying and exploiting analogies between different mathematical structures, such as the relationship between the geometric Satake equivalence and chromatic homotopy theory. His papers frequently combine deep technical results with broader conceptual frameworks that illuminate connections across mathematical disciplines. As an educator, Devalapurkar has taught a variety of courses including Math 99r on integrable systems (Spring 2024) and Math 1b (Calculus, Series, and Differential Equations) at Harvard (Fall 2022). He has served as a teaching assistant for advanced courses in algebraic number theory (Math 223a) and algebraic topology (Math 231b). He has mentored numerous reading projects through Harvard's Directed Reading Program, covering topics from surfaces and Chern classes to prismatic cohomology. He also actively mentors high school students through the PRIMES USA program, demonstrating commitment to nurturing mathematical talent at all levels. Additionally, he organizes seminars including one on "Arnold's trinities" with Thomas Brazelton and another on relative Langlands duality with Ben Gammage.

• Homotopy Theory
• Algebraic Geometry
• Combinatorics
• +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.

David Woodمشاهده پروفایل

استاد

• Discrete Mathematics
• Theoretical Computer Science
• Graph Theory
• +۷ مورد دیگر

David Wood is a Professor in the School of Mathematics at Monash University, Australia, and Deputy Director of the Mathematical Research Institute MATRIX. His research focuses on discrete mathematics, theoretical computer science, graph theory, and combinatorial geometry. He leads major research projects funded by the Australian Research Council, including studies on sparse networks, extremal graph theory, and graph coloring. Wood has held leadership roles such as President of the Combinatorial Mathematics Society of Australasia (2014–2016). He is an Editor-in-Chief of the Electronic Journal of Combinatorics and co-editor of MATRIX Annals . His work spans over 224 publications, emphasizing structural graph theory, graph products, and extremal problems. Notable contributions include advancements in clustered coloring, product structure theorems, and the resolution of conjectures like the clustered Hadwiger conjecture. Awarded the Australian Mathematical Society Fellowship (2016), Wood’s research also explores graph drawing, poset dimension, and applications of combinatorial geometry. His projects often involve collaborations with international experts, pushing boundaries in theoretical and algorithmic aspects of graph theory.