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agniv sarkar

安妮武

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Online Algorithms: A Primer

This was my final project for CS254. You can find the full PDF version here . Abstract The $k$-server problem asks how $k$ mobile servers in a metric space should be dispatched to serve an online sequence of requests so as to minimize total distance traveled. Introduced by Manasse, McGeoch, and Sleator [MMS88], it has driven the development of competitive analysis for over three decades. This…

Writing an OS in Haskell

The code is here . This was a solo class project. I wanted to see what happens when you take a language designed for functional programming and force it to talk to hardware registers. What Is This HaskellOS is a bare-metal operating system for the Raspberry Pi Zero. It boots on real hardware, gives you a shell with 18 commands, reads files off an SD card, blinks LEDs, talks over wireless radio,…

the worst seven months of my life

The short and sweet of this is that I tried to apply a cool method (the entropy method) to a problem (chvatals conjecture) that it could never work on. Specifically, Chvatal’s conjecture is a local statement (there exists a maximal star), but my early formulations of the entropy method gave global gaurentees over all maximal intersecting families. However, I realized much of my approach needed to…

Grobner Bases Explainer

Alternatively: I showed Prof. Brian Conrad something new (the Koiran result), though he later made fun of the fact that I forgot how to read a clock on the spot (I was checking for my timer on my phone, but instead looked at the clock and forgot when I had started). I now think that reading Fulton is probably not the best way to “learn algebraic geometry,” most notably because he avoids talking…

Favorite Youtubers

I was scrolling through my subscriptions list because I was talking to a creator and got reminded about a lot of different content I consume. This is me after scrolling through my youtube subscriptions and choosing the nonmusical/ones that I click on and watch in the corner when I see them on youtube. I subscribe to more but I think this is a solid list to represent myself. This is me fleshing out…

Stuff worth Buying

Talk Notes

This, this is a story about dorm lectures. While in Oxford, I felt extraordinarily restless. I do not know nearly enough mathematics and I do not think this feeling of lacking will ever go away. I imagine adulthood is accepting this . But how do you even, you know, convince yourself that you know math? Do you just read a lot? The answer is yes. But you also need to communicate it. It is not that…

self help jank

I wrote this while in Utah and revised it while in Utah. a precursor This is a draft piece that I do not really know what to do with. I wrote it in a day while sitting in Utah because I was tired and wanted to get into the writing flow state. If you read this, you will learn little bits and pieces of things I have seen. Much of this feels more descriptive than focused on a singular idea.…

Excerpts from Hilary 25

See this pdf . I ended the last orchard session in Hilary ‘25 by reading this. This has Michelle Cliff’s “Spirit of a Place,” Rilke’s “Letters to a Young Poet,” Danez Smith’s “I’m going back to Minnesota where Sadness Makes Sense,” Mary Oliver’s “Wild Geese,” Rilke’s letter to Lou Andreas-Salomé, Rilke’s “Turning,” a 1950s essay from Beauvoir, Elizabeth Bishop’s draft of “One Art,” Ken Liu’s “The…

Mar-Apr 25 Journal Entries

A friend of mine ( Jacob ) wrote an essay on Alphabetical Diaries , which is an interesting book because the author was able to craft a coherent story by shuffling around her writing in her journal. I also recently read Chemistry because another friend had mentioned it to me (almost in passing) and it is another book that is structured like a journal that I found quite moving. I agree mostly with…