I approach mathematics and related disciplines with a focus on deep understanding and structural insight. Rather than memorizing formulas or procedures, I aim to uncover the underlying patterns that govern systems—whether abstract algebraic structures, dynamical systems, or cryptographic protocols. I strive to bridge theoretical understanding with practical application, exploring how abstract mathematics can inform and solve real-world problems.
My work spans both pure and applied mathematics. Projects include:
- Bidmachine: Developing an automated contract bid evaluation engine that scores, ranks, and audits proposals. This project emphasizes algorithmic transparency, anomaly detection, and modular, adaptable design.
- Nakashima Bundles: Exploring stable vector bundles over Calabi-Yau (n+2)-folds and analyzing their moduli spaces. This combines algebraic geometry, abstract theory, and structural proofs.
- Formal Verification of ECC: Using typed lambda calculus and the Coq proof assistant to rigorously verify security properties of Elliptic Curve Cryptography, ensuring correctness, unforgeability, and resistance to side-channel attacks.
I am actively exploring:
- Nonlinear dynamical systems and chaos theory, including predator-prey models and bifurcation analysis.
- Mathematical modeling of economic and social systems through discrete-time and continuous-time methods.
- Higher-dimensional algebraic structures and computational approaches to vector bundles.
- Cryptography and formal verification, with an eye toward quantum-resistant protocols.
I value rigorous problem solving, structural clarity, and cross-disciplinary thinking. I often approach a problem from multiple perspectives—algebraic, geometric, computational, and applied—seeking both conceptual understanding and measurable results. My intellectual curiosity drives me to engage deeply with complex ideas while maintaining a focus on their practical implications.
Music has always been a source of inspiration and intellectual stimulation for me. I am drawn to experimental, post-punk, and avant-garde sounds, which often inform my approach to problem-solving and creativity. Some of my favorite artists include: Talking Heads, Pink Floyd, Death Grips, Wire, Can, Joy Division, and The Cure. You can explore my full music profile on RateYourMusic.


