Arnav Dhiman

Projects

Tools, experiments, and implementations supporting ongoing research.

Mathematical Reasoning

Lean Proof Assistant Toolkit

A collection of utilities for interactive theorem proving in Lean 4, including tactic suggestion helpers and proof state visualisation tools.

theorem-provingformal-methods
Lean 4 · Python · TypeScript
Optimization

Non-Convex Optimization Benchmarks

Benchmark suite for evaluating learning rate schedules and optimizer behaviour on saddle-point landscapes, built around the Saddle Escape Efficiency metric.

optimizationbenchmarksml-theory
Python · PyTorch · NumPy
Quantum Computing

Matrix Product State Quantum Simulator

Lightweight simulator for studying entanglement entropy scaling in quantum circuits using matrix product state decompositions.

quantumsimulation
Python · QuTiP · NumPy
Epistemology

Research Notes System

A personal knowledge management system for organising research papers, annotations, and literature reviews in a structured notebook format.

knowledge-managementwriting
Next.js · MDX · TypeScript