S.P.Kumar Challa

Systems, Rust,
and Research

I’m S.P. Kumar Challa. I build secure tools in Rust, explore Linux systems, and research the geometry of neural networks.

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Recent Articles

Markov ChainsInformation Theory

The Fundamental Theorem of Markov Chains (Proof, Intuition + Uniqueness)

Explore the Fundamental Theorem of Markov Chains with a rigorous proof of stationary distribution existence and uniqueness using linear algebra and convex combinations.

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Information TheoryGeometry of High Dimensions

The Connection Between Information Theory and the Geometry of High Dimensions

Why Gaussian points in high dimensions typically lie at distance √d from the origin

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High DimensionsMathematics

The Geometry of High Dimensions

How objects behave in High Dimensions

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Key Projects

spassword-manager

A secure command-line password manager written in Rust with encrypted local storage.

RustCryptographyCLI
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MenU

A full-stack platform to create, manage, and view weekly dietary menus with a clean backend architecture and simple frontend.

Gemini APINode.jsExpress
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Decentralized E-Voting

A decentralized voting system with IPFS.

CryptographyJavascriptIPFS
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Side Quests

YouTube MP3 Downloader

A robust tool for converting YouTube videos to high-quality audio files, featuring a clean React interface and a powerful Python backend using yt-dlp.

nodejavascriptyt-dlp
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