Graduate Student Algebraic Topology Seminar, Fall 2013

Meeting time and location

The seminar will meet in Hill 423, Thursdays 3:45–5:00.

We gratefully thank the Math GSO and the Rutgers GSA for providing dinner at this seminar.

Information about this seminar is also listed on the math department's seminar page.


Date Speaker Title of Talk
9/5 Glen Wilson Organizational Meeting
9/12 Knight Fu Model categories, Part 1
9/19 Knight Fu Model categories, Part 2
9/26 Glen Wilson Spectra, Brown representability, homology, and cohomology
10/3Glen Wilson Spectra, Brown representability, homology, and cohomology
10/10 Jonathan Jaquette Principal bundles, classifying spaces
10/17 Jonathan Jaquette Characteristic classes
10/24 Ed Chien Khovanov cohomology
10/31 Ed Chien Khovanov cohomology
11/7 Doug Schultz Gauge theory
11/14 Justin Bush Conley theory
11/21 Justin Bush Conley theory continued
11/21 Glen Wilson Cobordism theories


Spectra, generalised homology and cohomology, general reference
  1. Adams, Stable Homotopy and Generalised Homology.
  2. Adams, Algebraic Topology—A Student's Guide.
  3. Brown, Cohomology Theories.
  4. Hatcher, Spectral Sequences in Algebraic Topology.
  5. Hovey, Shipley, Smith Symmetric Spectra.
  6. Hovey; Palmieri; Strickland, Axiomatic stable homotopy theory.
  7. Switzer, Algebraic Topology--Homology and Homotopy.
Model categories
  1. Hess, Model Categories in Algebraic Topology.
  2. Hovey, Model categories.
  3. Quillen, Homotopical Algebra.
  4. May, More concise algebraic topology.
  5. Freyd, P. Homotopy is not concrete.
Characteristic classes, cobordism theory
  1. Bott; Tu, Differential Forms in Algebraic Topology.
  2. Milnor; Stasheff, Characteristic Classes.
  3. Milnor, Construction of Universal Bundles, II
  4. Mitchell, Stephen, Notes on principal bundles and classifying spaces.
  5. Ravenel, Complex Cobordism and Stable Homotopy Groups of Spheres.
  6. Stong, Notes on Cobordism Theory.
Simplicial algebraic topology and general reference
  1. Weibel, Homological Algebra.
  2. May, Simplicial objects in algebraic topology.
Khovanov homology
  1. Bar-Natan, Khovanov's homology for tangles and cobordisms