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About Me
About Me
I am a second-year Master's student, graduate student instructor, and Marjorie Lee Browne scholar in Mathematics at the University of Michigan-Ann Arbor. My math interests lie all over the place and include complex analysis, functional analysis, operator theory, differential geometry, differential equations, and their applications to physics, particularly quantum mechanics and general relativity.
Math
Math
Notes
Notes
Notes are a work-in progress, so many of them are incomplete (with noticeable markings lol, especially graphs and pictures) or have errors.
Math 525: Introduction to Probability Theory. Lectures by Assistant Professor Karol Koziol in Winter 2022.
Math 556: Applied Functional Analysis. Lectures by Professor Liliana Borcea in Fall 2021.
Math 551: Intro to Real Analysis. Lectures by Professor Jinho Baik in Winter 2021.
Math 452: Advanced Calculus (II) in Several Variables. Lectures by Assistant Professor Ruowen Liu in Winter 2021.
Math 420: Advanced Linear Algebra. Lectures by Professor Mircea Mustaţă in Fall 2019.
Math 451: Advanced Calculus I. Lectures by Professor Sijue Wu in Winter 2019.
Linear Algebra REU Lectures. Short series of lectures by Associate Professor Alan Wiggins during Summer 2019 REU at University of Michigan-Dearborn.
Math 454: Intro to Partial Differential Equations and Boundary Value Problems. Lectures by Assistant Professor Luke Edholm in Fall 2018.
Currently working on TeXing up notes from:
Physics 401: Intermediate Mechanics
Math 316: Differential Equations
Segal-Bargmann Space with Variable Symplectic Forms
Segal-Bargmann Space with Variable Symplectic Forms
The Bargmann space is the set of entire, holomorphic functions that are square-integrable with respect to a Gaussian weight. This construction is primarily used in quantum mechanics as an alternative Hilbert space for quantum states, as opposed to the usual Lebesgue space of complex-valued, square-integrable functions.
Research done under the mentorship of Dr. Alejandro Uribe-Ahumada in Summer 2020
Long-form report. We investigated whether the Bargmann space could be generalized by non-Gaussian weights via changing the usual symplectic form that generates the Hamiltonian dynamics.
REU Project: Fast Phase Retrieval from Masked Fourier Measurements
REU Project: Fast Phase Retrieval from Masked Fourier Measurements
Using discrete Fourier analysis and matrix algebra, we devised an efficient, robust algorithm to mathematically recover phase information from diffracted, 2-dimensional complex-valued signals
Joint work with undergrad Brendan Williams at University of Michigan-Dearborn REU in Analysis & Applications in Summer 2019; with mentorship under Dr. Aditya Viswanathan and Dr. Yulia Hristova at the University of Michigan-Dearborn and Dr. Alejandro Uribe-Ahumada at University of Michigan-Ann Arbor
Paper submitted for University of Michigan-Ann Arbor REU
Beamer presentation #1 (co-authored with Brendan Williams) for SUMMR Math Conference in Dearborn, July 2019
Beamer presentation #2 (co-authored with Brendan Williams) and Poster Presentation (authored by Brendan Williams), which earned Honorable Mention at the Undergraduate Poster Session, for the Joint Mathematics Meeting in Denver, January 2020.
Other Interests (Mostly Music)
Other Interests (Mostly Music)
Hip Hop (JPEG above should tell you this), Jazz (Contemporaray and Classic), Alternative R&B (think Janelle Monae or Frank Ocean), 60's/70's Soul (especially Stax), a little Indie Rock and Electronic too
Classical and Jazz Piano, Jazz/Music Theory
Writing. (In 2019, I won a UM Hopwood Award in Undergraduate Nonfiction. Arthur Miller won a Hopwood award in Playwriting in 1936, so this was such an honor.)
Writing about Jazz and Hip Hop (I wrote over 300 biographies for AllMusic)
Reading: Again about jazz and music, also Black (American) and African fiction (Baldwin, Hurston, Ngugi), some feminist lit (Lorde, Walker, Morrison), Creative nonfiction and essays, some "Southern" writers (O'Connor, Faulkner), Liberian political history
I've written some music album reviews and biographies, though none too recent. Here's some of my better ones:
Jazz:
Review of Ravi Coltrane's Spirit Fiction (2012) for Okayplayer.com
Write-up on jazz drummer Jamire Williams for, well, me (lol on Medium)
Afro-Beat:
Review of re-issue of Fela Kuti's The Best of the Black President (2012) compilation for Okayplayer.com
Hip Hop/R&B (written for AllMusic):
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