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.
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