- Arthur Bartels
Geometric topology, K-Theory.
- Ronald Brown
Category theory, higher dimensional algebra, holonomy, groupoids and
crossed objects in algebraic topology.
- Claude Cibils
Cohomological multiplicative structures, Representations of quantum groups.
- Frederick Cohen
Algebraic topology, group theory, surface theory, cohomology of groups, applications to physics.
- 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.
- Marius Dadarlat
Operator algebras, K-theory, noncommutative topology.
- Daniel Davis
Stable homotopy theory, spectra with continuous actions by profinite
groups, Morava E-theory.
- 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.
- Joseph Gubeladze
Homological and K-theoretic aspects of toric varieties and polytopes
- Jens Hornbostel
Motivic homotopy theory, algebraic K-theory, stable homotopy theory.
- Johannes Huebschmann
Homological algebra, algebraic topology, topological methods in physics.
- Hvedri Inassaridze
K-theory, homological and homotopical algebra, noncommutative geometry.
- 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.
- Tornike Kadeishvili
Algebraic Topology: A(infty)-algebras, Operads, Homology Theory of Fibrations, Rational Homotopy Theory, Algebraic Models of Topological Spaces and Fibrations, Cohomological Physics.
- Tom Lada
Homotopy algebra, homotopical physics.
- Pascal Lambrechts
Rational homotopy theory and applications to geometry.
- Tyler Lawson
Stable homotopy 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.
- Martin Raussen
Applications of homotopy theory in computer science.
- Ulf Rehmann
Linear algebraic groups and related structures.
- Emily Riehl
Category theory, homotopy theory, Homotopy type theory.
- Jonathan Rosenberg
Topology and geometry of manifolds, index theory, noncommutative geometry.
- Jiri Rosicky
Category theory, homotopy theories, homotopy categories.
- Thomas Schick
Geometric topology, K-theory in particular of operator algebras.
- Ross Staffeldt
Algebraic topology, algebraic K-theory.
- James Stasheff
Higher homotopy algebra, operads, cohomological physics, homotopical physics.
- Ross Street
Enriched category theory, higher-dimensional category theory.
- Vladimir Vershinin
Homotopy properties of configuration spaces, Adams-Novikov spectral
- Gabriele Vezzosi
Algebraic Geometry, Derived Algebraic Geometry, Higher Categories.
- Charles Weibel
Algebraic K-theory, motivic cohomology, cyclic homology, algebraic geometry, homological algebra.
- Craig Westerland
Stable and chromatic homotopy theory, homotopy theory of configuration and moduli spaces, and homotopy theoretic techniques in arithmetic geometry.
- Simon Willerton
Magnitude of metric spaces, topological quantum field theory, category theory.
- Steven Weintraub
Differential topology, algebraic geometry.
- Scott O. Wilson
Geometry and topology of manifolds, homotopy algebra, differential cohomology.
- W.Stephen Wilson
Algebraic topology, homotopy theory, complex cobordism, Brown-Peterson homology, Morava K-theory.
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