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Editors' Interests
- Anna Marie Bohmann
algebraic topology, homotopy theory, equivariant homotopy theory
- Guillermo Cortinas
K-theory, cyclic homology, noncommutative geometry.
- Diarmuid Crowley
Differential topology and Algebraic topology; the surgery classification of manifolds. Especially 7- manifolds and G2-structures, almost contact structures, embddings in co-dimension > 3, mapping class groups in high dimensions and exotic spheres and the Gromoll filtration.
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Christopher Douglas
Algebraic and geometric topology
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Bjorn Ian Dundas
Stable equivariant homotopy theory, algebraic K-theory, homotopy type theory
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Peter Eccles
Homotopy theory, cobordism theory and relationship between them.
- Graham Ellis
Homological and homotopical algebra.
- Benson Farb
Geometric topology, group actions, discrete subgroups of Lie groups.
- Marino Gran
Categorical algebra, Galois theory, universal algebra.
- Jens Hornbostel
Motivic homotopy theory, algebraic K-theory, stable homotopy theory.
- Johannes Huebschmann
Homological algebra, algebraic topology, topological methods in physics.
- Nick Inassaridze
Homological and homotopical algebra, cyclic homology.
- Stefan Jackowski
Homotopy theory, classifying spaces, group actions, homological algebra, relationships and applications across various fields of algebra and topology.
- George Janelidze
Category theory, homological algebra, Galois theory.
- Haynes Miller
Homotopy theory, relation between elliptic curves and homotopy theory, the Steenrod algebra, the homotopy theory of Lie groups.
- Ralf Meyer
K-theory and bivariant K-theory, non-commutative geometry, cyclic homology, homological algebra.
- Krzysztof Pawałowski
Transformation groups, more specifically, group actions on manifolds.
- Tim Porter
Algebraic homotopy, homotopy coherence, strong shape theory and proper homotopy theory, global actions, groupoid atlases, abstract homotopy theory.
- Geoffrey Powell
Unstable and stable homotopy theory; (un)stable modules over the Steenrod algebra; (co)homology operations; functor categories; homotopical and derived geometry.
- Stewart Priddy
Stable homotopy theory.
- Ulf Rehmann
Linear algebraic groups over arbitrary fields, anisotropic groups. Quadratic forms, splitting behavior, and invariants. Azumaya algebras, index and exponent reduction, splitting properties.
- Jiri Rosicky
Category theory, homotopy theories, homotopy categories.
- Ross Staffeldt
Algebraic topology, algebraic K-theory.
- James Stasheff
Higher homotopy algebra, operads, cohomological physics, homotopical physics.
- Vladimir Verchinine
Homotopy properties of configuration spaces, Adams-Novikov spectral
sequence, cobordism.
- Gabriele Vezzosi
Algebraic Geometry, Derived Algebraic Geometry, Higher Categories.
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Christian Voigt
Operator K-theory, Hochschild and cyclic homology, Hopf algebras, quantum groups
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Charles Weibel
Algebraic K-theory, motivic cohomology, cyclic homology, algebraic geometry, homological algebra.
- Simon Willerton
Magnitude of metric spaces, topological quantum field theory, category theory.
- Scott O. Wilson
Geometry and topology of manifolds, homotopy algebra, differential cohomology.
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