Publications, Articles, Notes

• "Centaurs: Here, There, Everywhere!" (with Dimitri Dziabenko), College Mathematical Journal 39 (September 2008), 267-272.
• Expository notes on Ergodic theory and how it relates to uniform distribution and in particular, Weyl's lemma.
• A survey of some results about Analytic Capacity and rational approximation. Mostly without proofs. Written for the class on Potential Theory which I took in Fall 2008.
• More about polynomial and rational approximation from a functional analysis perspective (the technique of Annihilating Measures).
• I have typed notes from Prof. Edward Bierstone's class on Complex Analysis (MAT454/1001) and am willing to share.
• On the Chebyshev criterion for the best approximating polynomial of degree at most n.

Interesting Facts

• A proof of Bernstein's theorem which says that if a function, smooth on an interval, has positive derivatives of all orders, then it is actually real analytic.
• A bunch of problems on the Geometry of Numbers. Suitable for highschool students.