What I've been reading

The following is a list of various things that I have read (to some extent) since starting graduate school. I don't claim to have read all (or even most) of any particular item on the list; this is just meant to record past and present interests of mine. The ordering in each section is alphabetical by author.


Fall 2017

Fundamentals of Condensed Matter Physics (Cohen/Louie)
Quantum Field Theory (Folland)
Quantum Many-Particle Systems (Negele/Orland)

Spring/Summer 2017

Interacting Electrons (Martin/Reining/Ceperley)
Quantum Many-Particle Systems (Negele/Orland)
Quantum Computation and Quantum Information (Nielsen/Chuang)

Fall 2016

Condensed Matter Field Theory (Altland/Simons)
A Guide to Feynman Diagrams in the Many-Body Problem (Mattuck)
Numerical Linear Algebra (Trefethen)

For qualifying exam preparation:

Partial Differential Equations (Evans)
Finite Difference Methods for Ordinary and Partial Differential Equations (LeVeque)
Lectures on Dynamical Systems (Rezakhanlou)

Summer 2016

Metastability: A Potential-Theoretic Approach (Bovier/den Hollander)
Invariant measures and the soliton resolution conjecture (Chatterjee)
Introduction to Geophysical Fluid Dynamics (Cushman-Roisin/Beckers)
A tutorial on particle filtering and smoothing: fifteen years later (Doucet/Johansen)
Electronic Structure Theory (video lectures from MSRI summer school) (Lin/Lu)
Stochastic Differential Equations (Øksendal)
Probabilistic Forecasting and Bayesian Data Assimilation (Reich/Cotter)
Lectures on Dynamical Systems (Rezakhanlou)
Lectures on the Large Deviation Principle (Rezakhanlou)
Various articles on stochastic parametrization and the ensemble Kalman filter

Spring 2016

Fully Nonlinear Elliptic Equations (Caffarelli/Cabré)
Some notes on viscosity solutions of Hamilton-Jacobi equations (Calder)
Level Set Methods and Fast Marching Methods (Sethian)
Nonlinear Dispersive Equations: Local and Global Analysis (Tao)
Topics in Random Matrix Theory (Tao)
High-Dimensional Statistics: A Non-Asymptotic Viewpoint (Wainwright)
Various articles of S. Chatterjee and K. Kirkpatrick on localization and NLS

Fall 2015

A Mathematical Introduction to Fluid Mechanics (Chorin/Marsden)
Vorticity and Turbulence (Chorin)
Stochastic Tools in Mathematics and Science (Chorin/Hald)
Partial Differential Equations (Evans)
The Concentration of Measure Phenomenon (Ledoux)
Markov Chains and Mixing Times (Levin/Peres/Wilmer)
Stochastic Differential Equations (Øksendal)
A survey of Ricci curvature for metric spaces and Markov chains (Ollivier)
Optimal Transport for Applied Mathematicians (Santambrogio)
Various articles on phase retrieval, inverse imaging problems, and X-ray diffraction imaging