a blog about research, art and life đź’‹

my work ethic | pinned post

Think I’ve kind of learned that the more authentic and genuine it is, the better it will work for you.

December 16, 2023

Collection | Blog Posts About Classical Music

I’d love to keep track of all the classical pieces and composers I’ve written about—whether from concert reflections or deep-dive listening sessions that make me curious about a piece’s background. Music taste is hard to align, but I hope this list offers a practical glimpse into mine. Maybe you’ll find some insight—or even a new favorite piece. I usually prioritize academic posts over musical ones, but when things get hectic, I turn to music....

February 24, 2025

Proof Sketch of (Adjusted) Lemma 3.5 in Matrix Estimation by USVT (Chatterjee 2015)

Some fun algebraic manipulations.

September 16, 2025

Use Audio Card in Hugo Website

You can configure Hugo Papermod file to create audio cards in websites—like pictures. Everytime you store in static/audio/track.mp3, then put the following embedding code in the markdown text: {{ < audio src="/audio/graze_the_roof.m4a" title="Graze the Roof" artist="Ariana Tang" caption="April 2022, Created using Logic Pro" cover="/audio/graze_the_roof_cover.jpeg" download=false > }} And the audio player would appear: Graze the RoofAriana Tang Your browser does not support the audio element. April 2022, Created using Logic Pro Here’s what you need to do for the above to work...

September 15, 2025

Linear Algebra Tip | Projection Matrix on Work

Professional music critiques rarely poses any aptitude for mathematics. As they like to compare musical processes unintelligible to them with the equally darksome methods of mathematical thinking, especially they hated algebra: “The science of Mousier Berlioz is a sterile algebra” (P. Scudo, Critique et Littérature Musicales, Paris, 1852); “The music of Wagner imposes mental tortures that only algebra has a right to inflict” (Paul de Saint-Victor, La Presse, Paris, March 1861); “This theme serves [Ravel] for four movements [of the String Quartet] during which there is about as much emotional nuance as warms a problem in algebra” (New York Tribune, Dec 12, 1906)....

September 14, 2025

Geniusly Poised and Pride | Midsummer Night's Dream Revisited

“[Mendelssohn] was certainly THE greatest composer under 18 that we know of (and yes I’m including Mozart in that), and his best music ranks up there with the best composers in history.” Sticky Notes | Mendelssohn: A Midsummer Night’s Dream The Sticky Notes podcast had this wonderful episode about Mendelssohn’s A Midsummer Nights Dream. It strikes the perfect balance: weaving together the composer’s background, the craft of his orchestration, and detailed comparisons of music passages....

September 13, 2025

The Rooftop Project (and Someone Else Did it Better)

Plants vs. Zombies has been my favorite game since childhood—through high school, and still today. During the pandemic, after binging through every level (twice), I found myself turning not to the gameplay but to its music. Graze the Roof is one of my favourite: PvZ soundtrack is remarkable. The composer and sound director Laura Shigihara was in a relationship with George Fan, the creator of the first game. I was obsessed....

September 12, 2025

Ravel's Piano Concerto in G Major (M. 83)

Ravel’s Piano Concerto in G major is heavily influenced by Jazz (see this post Ravel and Gershwin and Their Obsession with Jazz). You can hear a lot of Jazz colored motives in the fast, vivid first movement (I. Allegramente). And, as Ravel famously remarked that “The most captivating part of jazz is its rich and diverting rhythm.” — even subtle Jazz influenced can be noticed in the breathtakingly beautiful slow movement (II....

September 11, 2025

Probability Essentials from Booth PhD Math Camp

Today at Booth’s PhD math camp, we revisited some foundational concepts in probability theory. Two key topics stood out to me: Frequentist vs. Bayesian Perspectives A crucial distinction lies in what we treat as random: Frequentist: Parameters (e.g., population mean $\mu$) are fixed, and randomness comes from the data. Example: $$ P(X \mid \mu) $$ We ask: Given a true mean $\mu$, how likely is it to observe sample mean $X$?...

September 10, 2025

Ariana Grande Ticket Rush

The singer announced “the eternal sunshine Tour” almost two weeks ago. Presales launch today 10:00. I was aware of pop music concert’s popularity, yet I didn’t expected it to be such a rush: Queue for getting a ticket in Chicago… The Chicago United Center stadium can holds up to 23500 audience. The TicketMaster sales mechanism works as follows: you join the queue starting 9:30 and the sale goes on live 10:00, where queued consumer are then given a relatively chilled purchase opportunity before their follower join....

September 9, 2025