Teaching

• MATH1003: Calulus and Matrix Models (First Semester)

• MATH3349: Special Topics in Mathematics (Algebraic Topology II) 4th Year Honours in Mathematics (First Semester)

  Possible topics include

  Differential topology, Morse theory, low dimensional topology; K-theory, cobordism theory and index theory; Higher structures in mathematics.

  Topics covered in 2009:

  Spectra and generalized (co)homology, Brown representation theorem, Vector bundles and Classifying spaces, K-theory, bordism and cobordism theories, orientation and duality, characteristic classes, differential K-theory, index theory.

• MATH3344: Algebraic Topology (Second Semester)

Projects for PhB, Honours or PhD students

• PhB Projects

  Please let me know before the semester starts.

  • Introduction to Group theory (Abelian groups, or Lie groups);
  • Introduction to Differential Topology;
  • Introduction to Dirac operators (Clifford algebras and Spin geometry);
  • Differential forms and de Rham cohomology;
  • Smooth structures on spheres;
  • Gauge theory and low dimensional topology.

• Honours, Master or PhD Projects

  For students interested in studying for an Honours or PhD degree under my supervision.

  • Geometry of gerbes and D-branes;
  • Twisted K-theory and index theory;
  • Geometric invariants from parametrized cohomology theory;
  • Topological invariants via gauge theory and string theory;
  • Topological and differential quantum field theory;
  • Higher structures in geometry and topology.

  Links for Scholarships for Honours Students and Graduate Scholarships

WebCT

• WetCT Login

Last update: 05.2009.