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Dan CG's website

Academic webpage for Dan Cristofaro-Gardiner

Dan CG's website

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    • Math 106: Systems of ordinary differential equations
      • Final project
      • Math 106: Homework
      • Math 106: Useful tools and notes
    • Math 128A: Classical Geometry
      • Final project
      • Homework
      • Supplemental tools
    • Math 181 — History of Mathematics
      • Math 181 — Homework
      • Math 181 — Midterm project
      • Math 181 — Final Project
      • Supplements
    • Math 211: Algebraic Topology
      • Exercises
      • Lecture summaries
      • Notes
    • Math 232: Morse Theory
      • Contact homology exercises
      • Math 232 Lecture Summaries
      • Supplemental lecture notes
    • Math 23b: Vector Calculus II
      • Math 23b: Homework
      • Math 23b: Useful supplements
    • Math 742: Geometric Analysis
      • Math 742: Lecture summaries
      • Math 742: Suggested exercises
      • Math 742: Supplemental notes
    • Math 848L: Symplectic Geometry
      • Math 848L: Homeworks
      • Math 848L: Lecture summaries
      • Math 848L: Supplementary resources
  • Undergraduate research
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Math 742: Supplemental notes

Here is where I will be posting any supplemental notes or resources.

Notes to accompany the lectures on Weyl’s law for domains in R^n

Brooks: The Sunada Method

Buser, Conway and Doyle: Some planar isospectral domains

Gordon and Webb: You can’t hear the shape of a drum

Chapman: Drums that sound the same

Brief notes to accompany the lectures on Weyl’s law on a general Riemannian manifold: roadmap of the proof

Dirac operators and index theory

Outline of the proof of the index theorem for Dirac operators