Arham Lodha
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Garden archive

Notes, logs, and experiments

A chronological view of the public research desk: polished notes, small demos, and eventually the rougher log entries that trace how ideas develop.

Notes Experiments Meta
  • research July 7, 2026 unfinished
    The Breakdown of Complexity: What Happens When Triangles in a Network Vanish?

    Blog post explaining my research in the theory of graphons and the content of my undergraduate thesis "Asymptotic Bounds on Homomorphism Densities in Triangle-Constrained Graphons."

    research graphons extremal combinatorics probability hub
  • research June 28, 2026 published
    What are graphons?

    Graphs are rigid, discrete objects — hard to compare once they have different numbers of vertices. Graphons fix this by turning graphs into continuous functions, and counting subgraphs into integration.

    research graphons extremal combinatorics probability
  • experiment January 25, 2025 demo
    Python in the Browser: Symbolic Computation with Pyodide

    Run real Python (with SymPy) directly in a blog post using Pyodide. No server required.

    experiments python computation sympy
  • experiment January 20, 2025 demo
    Interactive Demo: Circle Packing with D3.js

    An interactive visualization of circle packing using D3.js, embedded directly in a Markdown post.

    experiments visualizations d3
  • note January 15, 2025 evergreen
    Writing Mathematics: A LaTeX Guide for This Blog

    A reference post showing how to write inline and display math, aligned equations, and common notation.

    notes meta latex

Arham Lodha · arhamlodha@g.ucla.edu · GitHub