Statements (59)
Predicate | Object |
---|---|
gptkbp:instanceOf |
Mathematicians
|
gptkbp:admissionFee |
Category theory
Mathematical modeling Computational topology Algebraic_structures Mathematical_software |
gptkbp:analyzes |
Complex structures
Intersection theory Continuous functions Algebraic varieties Simplicial complexes Topological quantum field theory Covering spaces Topological properties of spaces. Fiber_bundles Geometric_group_theory Topological_data_analysis |
gptkbp:collaboratedWith |
Physicists
Computer scientists Geometric topologists Mathematicians in other fields |
gptkbp:contributedTo |
Interdisciplinary research
Mathematical education Scientific publications Mathematical research Topology textbooks |
gptkbp:developer |
New algorithms
Topological invariants New theories Topological_methods |
gptkbp:engagesIn |
Collaborative projects
Outreach activities Public lectures |
gptkbp:explores |
Topological groups
Topological manifolds Fundamental groups Topological_dynamics |
https://www.w3.org/2000/01/rdf-schema#label |
Algebraic Topologists
|
gptkbp:mentor |
Students
|
gptkbp:participatedIn |
Workshops
|
gptkbp:publishedIn |
Mathematical_journals
|
gptkbp:publishes |
Research papers
|
gptkbp:research |
String theory
Low-dimensional topology Homological algebra Topological spaces Homotopy theory K-theory Homotopy groups Topological invariants of knots Algebraic_topology_in_higher_dimensions Quantum_topology |
gptkbp:specializesIn |
Algebraic_topology
|
gptkbp:taught |
Topology courses
|
gptkbp:uses |
Cohomology
Homology |
gptkbp:utilizes |
Spectral sequences
|
gptkbp:visitedBy |
Mathematical conferences
|
gptkbp:worksOn |
Manifolds
|