The following are some old notes (mostly from talks given as a graduate student) which are occasionally requested.

• Deformations, quantizations, and noncommutativity, talk given for KIDDIE Colloquium, April 14th, 2016.


• The Bernoulli Numbers, talk for undergraduates as part of Stanford SUMO , April 23th, 2015.


• Introduction to Modern Geometry, talk for high school students as part of Stanford SPLASH , April 12th, 2015.


• A Plumber's Approach to Symplectic Geometry, talk given for Stanford Student Symplectic Seminar (S^2 x S^2), February 2015 (in three parts).


• The Classification of (n-1)-Connected (2n)-Manifolds, talk given for Stanford Student Topology Seminar, November 7th, 2014.


• A Symplectic Conspectus, talk given for Stanford Student Symplectic Seminar (S^2 x S^2), November 7th, 2014.


• Introduction to the h-Principle, talk given for Further Advances in Symplectic Flexibility, workshop at Asilomar, CA, May 16th, 2014.


• The Ubiquity of ADE Classifications in Nature, talk given for KIDDIE Colloquium, March 21st, 2014.


• Homological Mirror Symmetry for the Projective Line, talk given for Fukaya Categories and Picard-Lefshetz Theory Reading Seminar, March 14th, 2014.


• Exterior Differential Systems, talk given for Cartan Seminar, February 20th, 2014.


• Mirror Symmetry: Introduction to the B Model, talk given for Stanford Student Symplectic Seminar (S^2 x S^2), January 21st, 2014.


• Donaldson Hypersurfaces, notes from La LLagonne Summer School, June 17-21, 2013.


• Lagrangian Floer Cohomology for Real Projective Space Inside Complex Projective Space, talk given for Stanford Student Symplectic Seminar (S^2 x S^2), January 28th, 2013.


• Positive Scalar Curvature and Surgery, talk given for AJOSSCS, October 23rd, 2012.


• The Space of Negative Scalar Curvature Metrics, talk given for AJOSSCS, October 30th, 2012.


• Bott Periodicity and Clifford Algebras, talk given for KIDDIE Colloquium, November 26th, 2012.