arindam-codes (Arindam B.)

🎯 Research Interests

◈ Stochastic Calculus & Randomness
◈ Probability Theory (Measure-Theoretic Depth)
◈ Quantitative Finance & Market Microstructure
◈ Mathematical Intuition as a Way of Seeing
◈ Computational Systems & Infrastructure
◈ Research & SaaS

🔬 Projects: Theory → Implementation

🧠 Mathematical & Quantitative Projects

📈 knapsack portfolio optimization python

Greedy algorithm for constrained portfolio selection. Models the 0/1 knapsack problem applied to stocks under budget constraints.

Tech Stack: Python • Algorithms • Optimization

🎯 Freelancer's Dilemma Solver

Decision engine for optimal job selection under time, cost and value constraints. Real-world optimization modeled computationally.

Tech Stack: Python • Decision Systems • Constraint Modeling

🔢 General Root Finder

Numerical methods engine implementing bisection method. Mathematics becoming executable code.

Tech Stack: Python • Numerical Methods • Computational Math

📐 Law of Sines Visualizer

Interactive computational geometry system. Built to understand trigonometric relationships dynamically — not just calculate them.

Tech Stack: Python • Geometry • Mathematical Visualization

⏱️ DayFlow discord rich presence python

Time-based state machine mapping real-world activity to Discord presence. Systems thinking applied to daily life.

Tech Stack: Python • State Machines • Automation

🎬 Roblox Cinematic System

~900 lines of client-server Luau. Event-driven architecture. Key realization: systems can communicate, not just compute.

Tech Stack: Luau • Systems Architecture • Real-Time

🧩 Systems & Computational Learning

📚 Systems Learning Log

Structured public documentation of learning across mathematics, physics, and computation. MIT OCW curriculum — Calculus, Linear Algebra, Probability, Programming.

Tech Stack: MIT OCW • Mathematics • Building in Public

⚛️ Computational Physics

Classical mechanics simulated through code. Understanding physics by building it — not just calculating it.

Tech Stack: Python • Physics Simulation • Classical Mechanics

📦 Additional Work

🎓 CS50

🐼 Pandas Practice

💡 MicroPython Labs

🎮 Roblox Scripting

📡 Systems Learning Index — MIT Curriculum

mindmap
 root((Quant Systems Journey))
 
 Semester 1
 Calculus I
 Programming II
 Discrete Math
 Physics I
 
 Semester 2
 Calculus II
 Physics II
 Linear Algebra
 Algorithms
 
 Semester 3
 Probability_Stats
 Software Construction
 Advanced Algorithms
 Elective
 
 Semester 4
 Computer Systems
 Statistical Data Analysis
 Dynamical Systems
 Statistics_Comp_App
 
 Semester 5
 Machine Learning
 Database Systems
 Optimization Methods
 Elective
 
 Semester 6
 Adv Electives
 Semester 7_8
 Stochastic Processes
 Quant Finance Theory
 Research

⚡ Implementation Philosophy

The same ideas I study mathematically, I try to make run in real environments.

flowchart TD
 A[Mathematical Theory] --> B[Algorithm Design]
 B --> C[Code Implementation]
 C --> D[Simulation]
 D --> E[Real Environment]
 E -.->|Feedback Loop| A

🛠️ Tech Stack

Python • NumPy • Pandas • SciPy • Matplotlib HTML • CSS • JS • C • C++ Linux • Git • Lua • Luau VSCode • Jupyter • Spyder