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Greedy algorithm for constrained portfolio selection. Models the 0/1 knapsack problem applied to stocks under budget constraints. Tech Stack: Python • Algorithms • Optimization | Decision engine for optimal job selection under time, cost and value constraints. Real-world optimization modeled computationally. Tech Stack: Python • Decision Systems • Constraint Modeling |
Numerical methods engine implementing bisection method. Mathematics becoming executable code. Tech Stack: Python • Numerical Methods • Computational Math | Interactive computational geometry system. Built to understand trigonometric relationships dynamically — not just calculate them. Tech Stack: Python • Geometry • Mathematical Visualization |
Time-based state machine mapping real-world activity to Discord presence. Systems thinking applied to daily life. Tech Stack: Python • State Machines • Automation | ~900 lines of client-server Luau. Event-driven architecture. Key realization: systems can communicate, not just compute. Tech Stack: Luau • Systems Architecture • Real-Time |
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 | Classical mechanics simulated through code. Understanding physics by building it — not just calculating it. Tech Stack: Python • Physics Simulation • Classical Mechanics |
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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
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
Python • NumPy • Pandas • SciPy • MatplotlibHTML • CSS • JS • C • C++Linux • Git • Lua • LuauVSCode • Jupyter • Spyder
