I'm an undergraduate at Rutgers University. My mathematical interests are broadly in analysis and topology. Specifically I'm interested in functional analysis, geometry, and topology, and their applications to PDEs. I also like harmonic 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.