I'm Nikhil Patel, a master's student studying computer science at UMich!
💡 I'm currently working on:
- Parallel Monte Carlo LSM: Parallelizing Least-Squares Monte Carlo simulations for pricing path dependent options. I'm using openmp to construct a manager that is able to dynamically allocate threads between simulating and regressing in order to achieve comparable accuracy to a sequential algorithm while enjoying a linear speedup with increased processor counts.
- Budget Constrainted Influence Maximization of Crypto Price through Airdrops: Uses agent-based modeling to investigate the emergence of herding behavior in Crypto markets under different conditions and the role of airdrops and reputation through the lens of a budget-constrained maximization problem.
- AlphaMax: A Proximal Policy Optimizing agent that captures asset price dynamics, market volatility, and non-linear relationships through Geometric Brownian Motion modeling, Kalman Filtering, and Fourier-Based Spectral Estimation.
- AlphaTax: A comprehensive machine learning pipeline that incorporates dimensionality reduction techniques and regressive models such as GARCH (Generalized Autoregressive Conditional Heteroscedasticity) and ARIMA (Autoregressive Integrated Moving Average) to construct a portfolio of stocks that accurately reflects the performance of a particular target stock with specific applications in Tax-Loss Harvesting.
- nikhilpatel.me: My personal portfolio site.
📍 Pinned below are some of my past projects: