Some notes on Elementary Differential Geometry

I will discuss these notes on Differential Geometry. Why study vector fields, differential forms etc on a manifold, when you can directly study the whole manifold itself? Well, what does studying the whole manifold mean? One might say “Just look at it! You’ll see the shape and other geometric features”. That is true. However, whatContinue reading “Some notes on Elementary Differential Geometry”

Status signaling in academia

This is how math grad students talk: I don’t really understand this very simple concept. What is the essence of this object, and why was it needed at all? I perhaps need to construct ten different examples or think of alternate definitions before I can successfully narrow down what this means. No. Not really. ThisContinue reading “Status signaling in academia”

CR-Invariant powers of the sub-Laplacian-I

Today I will be reviewing the paper “CR-invariant powers of the sub-Laplacian” by Rod Gover and Robin Graham in order to hopefully understand it better. I will post images from the original paper, and then writing an explanatory commentary below. Why do we care about powers of laplacians? Because they naturally comes up when weContinue reading “CR-Invariant powers of the sub-Laplacian-I”

HIV rebound

The paper that I’m writing about today is “The size of the expressed HIV reservoir predicts timing of viral rebound after treatment interruption” by Li et al. I will quote passages from the paper, and then try to explain what all of those fantastically long words mean. Objectives: Therapies to achieve sustained antiretroviral therapy-free HIVContinue reading “HIV rebound”

It sure doesn’t feel like predictive processing

Reddit user @Daniel_HMBD kindly re-wrote some parts of my previous essay to make it clearer. I am now posting this corrected version here. Broad claim: The brain (conscious or unconscious) “explains away” a large part of our surroundings: the exact motion of a tree or a blade of grass as it sways gently in theContinue reading “It sure doesn’t feel like predictive processing”

An article for my school magazine

I wrote a write-up for the school magazine of The Heritage School, Kolkata. I attended the school from classes 4 to 10, and it was fun to relive some of the moments I spent at that school. I am reproducing the article below. I was a part of the first batch of students to joinContinue reading “An article for my school magazine”

Of dead Russian authors and dead-er French kings

Note: I’m in a gradual process of anonymizing this blog. This is just so that I can write more freely, and include observations from my life that cannot be tied to my boring real world grad student existence. We’ll see how that goes. There’s a theme from Anna Karenina by Tolstoy that has stayed withContinue reading “Of dead Russian authors and dead-er French kings”

The case for falling in line

Picking up bits and pieces from various writers that I admire and producing a relatively inferior narrative. A lot of instagram is basically a bunch of people encouraging each other to be “fierce”, not care what others think of them, keep on doing what they love, keep on being who they are, etc. This isContinue reading “The case for falling in line”