Kirsten Wickelgren
  • Personal
  • CV
  • Papers
  • Students
  • Events and editorial work
  • Teaching
    • Minicourse, A user's guide to infinity categories (spring 2023 Duke)
    • Minicourse, L-theory, bilinear forms, and surgery (spring 2021 Duke)
    • Math 601, Groups, Rings, and Fields (Fall 2021 Duke) Math 611, Algebraic Topology I (Fall 2020 Duke) Minicourse, Introduction to Intersection Theory (Spring 2020 Duke) Math 690-10.01, Characteristic Classes and Applications (Fall 2019 Duke) Math 6122, Algebra II (spring 2018 Georgia Tech)
    • Math 4431, Introduction to Topology (fall 2017 Georgia Tech)
    • Math 6121, Algebra I (fall 2016 Georgia Tech)
    • Math 4320, Complex Analysis (fall 2015 Georgia Tech)
    • Math 8803, Stable Homotopy Theory (spring 2015 Georgia Tech)
    • Math 6441, Algebraic Topology (fall 2014 Georgia Tech)
    • Math 2406, Vector Spaces (fall 2013 Georgia Tech)
    • Math 231br, Advanced Algebraic Topology (spring 2013 Harvard)
    • Math 131, Topology I (fall 2011 Harvard)
    • Math 137, Algebraic Geometry (spring 2010 Harvard)

Characteristic classes and applications: Fall 2019

Materials

  • Sept 7 updated syllabus

  • Questionnaire

  • L1 notes by Orsola Capovilla-Searle

  • L2 Stiefel-Whitney classes, notes by Orsola Capovilla-Searle

  • L3 Stiefel-Whitney classes continued, notes by Orsola Capovilla-Searle

  • L4 Parallelizable real projective spaces, notes by Orsola Capovilla-Searle

  • L5 Grassmannians, notes by Orsola Capovilla-Searle

  • L6 Classification of vector bundles, notes by Orsola Capovilla-Searle

  • L7 Classification of vector bundles continued, notes by Orsola Capovilla-Searle

  • L8 Leray-Hirsch theorem and canonical bundle of Grassmannians, notes by Orsola Capovilla-Searle

  • L9 Construction of Chern and Stiefel-Whitney classes, notes by Orsola Capovilla-Searle

  • L10 Splitting principle, notes by Orsola Capovilla-Searle

  • L11 Cohomology of Grassmannians, notes by Orsola Capovilla-Searle

  • L12 Thom spaces, notes by Orsola Capovilla-Searle

  • L13 Orientations, notes by Orsola Capovilla-Searle

  • L14 Euler class, notes by Orsola Capovilla-Searle

  • L15 Thom classes and Poincare Duality, notes by Orsola Capovilla-Searle

  • L16 Purity and more on the Euler class, notes by Orsola Capovilla-Searle

  • L17 Pontryagin classes, notes by Orsola Capovilla-Searle

  • Problem set 1

  • Problem set 2

  • Problem set 3

  • Problem set 4

  • Midterm