A surprisingly strong relative version of the algebraic Hartogs’ lemma. [not intended for publication]

See also my blog, “Interesting Arguments.”

Math 130’s (Elementary Functions and Calculus) notes:

Math 131 (Autumn2011.pdf, 2012_autumn.pdf),

Math 132 (Winter2012.pdf),

Math 133 (Spring2012.pdf)

CartierDivisors.pdf  These notes sketch a definition for Cartier divisors in terms of rational sections rather than local data.  The only source I know for this is EGA.  They were originally written for a seminar on Fulton’s Intersection Theory assuming knowledge of Ravi Vakil’s notes on algebraic geometry.

Matsumura’s proof of generic freeness.

The (weak) Lefschetz principle via model theory.

Notes on connectedness: first lecture, second lecture

Second half of refresher talk on point-set topology for incoming first-year graduate students (September 2010)

My undergraduate thesis on tropical geometry, completed under the supervision of Eric Katz.