Conducted theoretical and computational research at Microsoft Research, advancing mathematical foundations of non-local field theory and its applications to optimization.

Responsibilities

• Collaborated with Jaron Lanier (Chief Unifying Scientist) on developing non-local field theory from matrix models
• Bridged discrete and continuous structures through new techniques applicable to optimization problems
• Applied stochastic calculus and operator theory to establish quantitative relationships between local and non-local dynamics
• Designed and executed numerical simulations to validate predictions about high-dimensional operators
• Provided mathematical formalism and technical implementation acknowledged as significant contributions to the project

Technologies & Skills

• Stochastic calculus, operator theory, and matrix models
• Theoretical physics and applied mathematics
• Numerical simulations and computational modeling
• Python, MATLAB, and high-dimensional analysis