Worked on advanced cryptographic and formal verification features across the GaloisInc/jolt and leanprover-community/batteries repositories. Delivered Arkworks field arithmetic optimizations and dependency upgrades in Rust, improving performance and reliability for zero-knowledge proof protocols by refactoring polynomial commitment logic and synchronizing dependencies. In Lean, implemented dependent folds for the Fin type, introducing dfoldr, dfoldl, and their monadic counterparts with formal theorems proving equivalence to existing folds. Focused on correctness and maintainability, the work leveraged skills in functional programming, type theory, and optimization, resulting in robust, well-verified code that enhanced both mathematical libraries and cryptographic protocol implementations.