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 haven't necessarily read all (or even most) of any particular item on the list; this is just meant to record past and present interests of mine. Many items are repeated across sections. The ordering in each section is alphabetical by author.
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Fall 2018 / Spring 2019
Condensed Matter Field Theory (Altland/Simons)
Gauge Fields, Knots and Gravity (Baez/Muniain)
Introduction to Quantum Control and Dynamics (D'Alessandro)
Quantum Field Theory (Folland)
Information, Physics, and Computation (Mézard/Montanari)
The Statistical Mechanics of Lattice Gases (Simon)
Spring/Summer 2018
Condensed Matter Field Theory (Altland/Simons)
Gauge Fields, Knots and Gravity (Baez/Muniain)
Orthogonal Polynomials: Computation and Approximation (Gautschi)
Feynman Diagram Techniques in Condensed Matter Physics (Jishi)
Introduction to the Renormalization Group (Kupiainen)
A Guide to Feynman Diagrams in the Many-Body Problem (Mattuck)
Various other books on quantum many-body physics...
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