Scientific Computing

Radix-2 DIT butterfly diagram showing the fundamental FFT operation with twiddle factor multiplication

FFTW Compiler in Haskell

A sophomore year deep dive into functional metaprogramming, replicating FFTW’s genfft metaprogram logic in Haskell to generate straight-line optimized C kernels for FFTs, using symbolic DAG representation and algebraic simplification to understand how abstract algebra translates into efficient machine code.

Scientific Computing

Flowchart diagram showing the recursive backtracking algorithm for constraint satisfaction in schedule generation

Term Schedule Optimizer

A freshman-year automation tool solving the university scheduling constraint satisfaction problem through web scraping Drexel’s Term Master Schedule and implementing recursive backtracking algorithm to generate every valid schedule permutation satisfying user-defined hard and soft constraints, used throughout undergrad 2016-2020.