Handouts

Miscellaneous

• Selected Proposals (pdf)
  A list of problems I've proposed to various competitions that I find particularly enjoyable. Solutions to most problems are included at the end.

• Geometry At Its Best (pdf)
  A compiliation of thirty beautiful geometry problems. These vary greatly in difficulty, and utilize various techniques from olympiad geometry.

Selected lectures

Note: these handouts were originally designed to accompany lectures, so some details may be missing.

• Nuclear Geometry (pdf)
  An advanced geometer's nuclear arsenal: homography, Desargue involution, and the method of animation.

• Follow the Arrows (pdf)
  Strategies to deal with iterated FE's and relatives.

• Graph Theory (pdf)
  A lengthy article based on various lectures on graph theory I have heard over the years, including some from MOP and some from Canada/USA Mathcamp.

• Advanced Counting (pdf)
  Advanced counting arguments, based on lectures by CMU professor John Mackey.

• Density (pdf)
  Analytical arguments based on asymptotic complexity and density; cotaught with Raymond Feng.