Portfolio

Quantitative Researcher & Data Engineer

I am a Physics Master’s graduate (CSE concentration) focused on decomposing complex systems using first-principles mathematics. My work bridges the gap between theoretical physics and production-ready AI solutions.


CVaR Loss Distribution Figure
Figure 1: Stochastic loss tail for a Student-T portfolio (df=3). The salmon-shaded area quantifies the Expected Shortfall (CVaR) beyond the 95% VaR threshold.

Featured Project: CVaR Optimization: Stochastic Risk Modeling

A reproduction of the Rockafellar & Uryasev framework for simultaneous VaR/CVaR minimization. This implementation replaces standard Gaussian assumptions with Multivariate Student-T distributions to model the "fat-tail" risk inherent in volatile markets.

  • Theoretical Foundation: Simultaneous minimization of Equation 9 (Auxiliary Function F_beta) to identify global risk "ground states."
  • Tech Stack: Python, SciPy (SLSQP Solver), Matplotlib, Pytest.
  • Insight: Demonstrated a significant reduction in tail exposure compared to traditional mean-variance optimization under non-stationary conditions.

Explore the Repository


Philly Retail Map
Figure 2 Post-processing deployment (DPL) visualizing Market Grades.

GIS and Data Science Project: Center City Philadelphia Retail Suitability Engine

Leveraging the research methodology I honed in the Sharma Group, I independently parsed current software engineering literature to identify and implement the 11-stage pipeline taxonomy defined in Biswas et al. (ICSE '22). This project demonstrates my ability to bridge the gap between high-impact academic research and production-ready GIS engineering.

The Normalized Suitability Equation:

$$S = 0.7T - 0.3C$$

Where T (Transit) models kinetic foot traffic flow and C (Competition) represents market resistance.

Biswas et al. 11-Stage Data Science Pipeline:
[ACQ] Ingest → [PRP] Prep → [STR] SQLite → [FTA] Feature Analysis → [TRS] Norm → [SLT] Select → [MDL] Model → [EVL] Eval → [INT] Grade → [CMN] Publish → [DPL] Deploy.


Adaptive Spin Evolution: Hilbert Space Expansion in QED

Partial derivative propagation
Figure 3: State Propagator. Illustrates the central idea of how the light-matter Hamiltonian propagates a state through the Schrödinger equation; if propagation rates exceed a calculated threshold, the Hilbert Space is dynamically expanded.

Developed in the Sharma Group at CU Boulder, this project implements an adaptive state space that iteratively expands the Hilbert Space to solve for complex modes (eigenvectors) in strong light-matter coupling scenarios. By utilizing a full Quantum Electrodynamics (QED) treatment, the algorithm identifies critical system dynamics with high precision.

  • Technical Features: High-performance matrix calculations and dynamic vector allocation.
  • Tech Stack: C++ Back-end, Python Interface (via pybind11), NumPy.
  • Insight: Effectively manages the computational overhead of many-body dynamics by focusing state expansion on the most physically relevant regions of the Hilbert Space.

Technical Expertise

Languages & Core Dev

  • Primary: Python (Advanced), C++ (High Performance), R, SQL
  • Technical/Legacy: FORTRAN, VBA, Assembly x86-64, Bash
  • Web & Scripting: PHP, JavaScript, HTML5, CSS3
  • Systems: Git/GitHub, Linux (Command Line), SQLite

Frameworks & Tools

  • Data Science: NumPy, Pandas, Matplotlib, SciPy, Seaborn
  • Machine Learning: PyTorch, TensorFlow, Scikit-learn
  • Specialized: pybind11, Unity (VR Development), Boost (C++), LaTeX
  • Analytics: Google Analytics

Applied Mathematics

  • Modeling: Stochastic Optimization (CVaR), Many-Body Dynamics
  • Theory: Probability (Sigma Algebras, Law of Larg Numbers, Markov Chains), Linear Algebra, Asymptotic Analysis
  • Geometry: Algebraic Topology, Lie Groups, Lie Algebras
  • Physics: QED, Quantum Mechanics, Circuit Simulation (SPICE/KiCad)

STEM Education & Outreach

I am dedicated to making complex scientific concepts accessible through inquiry-based instruction and intentional mentorship.

  • Pedagogy & Mentorship: During a year-long involvement with PISEC, I mentored high school students in project-led physics and engineering activities, utilizing research-based pedagogy to foster "science identity" in underrepresented communities.
  • Curriculum Development: As a Co-Instructor for CU-Prime (Physics 1400: Foundations of Scientific Inquiry), I bridged the gap between introductory learning and professional scientific practice. By facilitating hands-on exploration across a broad spectrum—including optics, acoustics, quantum mechanics, and relativity—I demystified the scientific process for a diverse student body. I intentionally prioritized minority inclusion and diversity, ensuring the curriculum was accessible and reflected the varied perspectives of the global scientific community.
  • Educational Innovation: Published research: "A Smartphone-Based Virtual Reality Plotting System for STEM Education," International Journal of Mathematical Education in Science and Technology (2021).
    DOI: 10.1080/10511970.2021.2006378

Professional Experience

Computational Research & Algorithm Engineering

At Los Alamos National Laboratory, I engineered a high-performance modeling framework that achieved a 9.5x speedup in pattern detection by optimizing the VF2 subgraph isomorphism algorithm. My workflow emphasizes high-performance C++ (Boost) and Python integration.

Technical Note: I actively integrate modern AI-driven development tools, such as Claude Code, to accelerate the transition from mathematical theory to production-ready code, ensuring rigorous testing and optimized numerical performance.

Business Automation & Scalable Data Analytics

As a Business Automation Specialist at Best Companies Group, I developed custom VBA solutions and Excel macros to automate large-scale data operations, significantly reducing manual error rates. Previously, at Discovery Lab Global, I designed an R Studio pipeline to clean and analyze over 500,000 data points, translating complex sentiment data into predictive geographic heat maps.

Academic Mentorship & Technical Lecturing

In my role as a Graduate Research Assistant at the University of Colorado (Sharma Research Group), I developed numerical methods for many-body systems. My professional background is rounded out by extensive experience in technical lecturing and curriculum design, specifically focusing on bridging the gap between introductory STEM education and professional computational practice.