Amy Pang's writings

Hopf Algebras and Markov Chains: two examples and a theory (2012) joint with Persi Diaconis and Arun Ram, arXiv preprint, and newer version (23 July).

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Representations of quantum groups (2009) an expository essay written for Part III. Despite the title, it only deals with Uqsl2.

Ribbon characters, Garcia-Reutenauer idempotents and a biased amazing matrix?? (2012), given in student probability seminar.

Kolmogorov's rock breaking (2011) given in student probability seminar. Similar exposition was given by Persi at Berkeley's commutative algebra and algebraic geometry seminar. I'm no longer sharing this since the paper above makes it obsolete.

Card games and crystals (2011) given in graduate student colloquium.

The Art Gallery Problem (2010) aimed at undergraduates, given as part of SUMO speaker series.

Hopf algebras and representation theory (2009) notes for a talk I gave in March 2009, as part of the Part III seminar series, and again in October 2009, in the graduate student colloquium.

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Below are some scans of my (handwritten) lecture notes on representation theory and combinatorics. More will be added from time to time. There are undoubtedly many mistakes and omissions, and the syllabus will probably have changed since I took them. I have notes on many other subjects too, ask me if you want to borrow something.

A first course in representation theory (Part II, Burt Totaro, 2008) (22Mb, because it's in colour)
Representations of S_n (from Part III character theory, Anton Evseev, 2009)
Representations of finite-dimensional Lie algebras (Part III, Ian Grojnowski, 2008)
Representations of GL(n) and U(n) (from 210C Representation Theory, Akshay Venkatesh, 2010. Heavily edited by me and Sam.).
Representation of GL_2(F_p) (from 210C Representation Theory, Akshay Venkatesh, 2010. Heavily edited by me, with help from Sam and Ralph.)
Enumerative combinatorics (235, Persi Diaconis, 2010).
Symmetric function theory and algebraic combinatorics (246, Persi Diaconis, 2011)

I have notes from most talks in the quantum groups seminar, available on request.

Measure theory (205A, Brian White, 2009)