I'm an undergraduate (graduating soon!) at Rutgers University. My mathematical interests are broadly in analysis and topology. Right now I'm interested in harmonic analysis and PDEs. I also like functional analysis and geometric topology.
My current reading list:
The Index Theorem and the Heat Equation, Peter Gilkey.
My upcoming reading list, once I find more free time:
The Analysis of Linear Partial Differential Operators, Lars Hormander.
Ordinary Differential Equations, and Mathematical Methods of Classical Physics, V. I. Arnold.
Elliptic Partial Differential Equations of Second Order, Gilbarg & Trudinger.
Singular Integrals and Differentiability Properties of Functions, Elias Stein.