Writings
Expository Writings
Expository pieces on topics where I could not easily find a reference, written to fill in gaps in the standard exposition. Each is typeset in LaTeX and available both as a web page and as a PDF.
Some subtleties of spherical coordinates
The following are some reflections on why the polar angle coordinate \(\phi\) does not globally define a 1-form on \(S^2\) and hence on \(\mathbb{R}^3 \setminus \{0\}\).
Measure Theory Qualifying Exam Solutions
Worked solutions to UCI measure theory qualifying exam problems, with reminders of the technique behind each proof.
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