Scientific Computing
Cartesian Genetic Programming graph showing input nodes, function nodes, and output nodes with active and inactive connections

Cartesian Genetic Programming in Julia

A sophomore year exploration of evolutionary algorithms applied to Atari games, implementing NEAT-inspired speciation mechanisms for Cartesian Genetic Programming to protect topological innovation while introducing custom crossover operators (subgraph, aligned-node) for evolving neural network policies.

Generative Modeling
Illustration of GAN training process showing adversarial competition between generator and discriminator

Understanding GANs: From Fundamentals to Objective Functions

An in-depth guide to GANs: how two neural networks compete to generate realistic data, the math behind it, and the evolution of objective functions that stabilize training.

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.