Kirsten Wickelgren
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    • Minicourse Complex Cobordism and Formal Group Laws (Spring 2026 Duke)
    • Math 605, Algebraic Number Theory (Spring 2026 Duke)
    • Math 690, Stable Homotopy Theory (fall 2025 Duke)
    • 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)

Math231br Advanced Algebraic Topology: Sullivan's Conjecture Spring 2013

Materials

  • Syllabus

Lectures

*L1 Introduction

*L2-2 Representability of cohomology

*L3 Construction Sqi

*L4 Properties Sqi

*L5 A modules

*L6 coproduct A

*L7 algebraic description A

*L8 A dual

*L9 Hopf algebras

*L10 Spectral sequences

*L11 Serre spectral sequences

*L12 Cohomology Eilenberg MacLane spaces Zmod2

*L13 Zeeman comparison theorem

*L14 More cohomology Eilenberg MacLane spaces Zmod2

*L15 kappa, group cohomology

*L16 Spectral sequence tower fibrations

*L17 convergence

*L18 mapping lemma

*L19 completion

*L20 Dold-Kan

*L21 Map to RX Totm

*L22 piTotX

*L23 Completion localization

*L24 Arithmetic square

*L25 Unstable Adam's spectral sequence

*L26 Derived functors

*L27 Brown-Gitler

*L28 HRPinfty injective

*L29 T in K

*L30 Haynes Miller's theorem

*L31 Trivial action

*L21 Generalized Sullivan's conjecture