Worked on targeted improvements to the gamma function within the stan-dev/math repository, focusing on enhancing performance, type safety, and maintainability. Applied C++ programming skills and knowledge of numerical methods to refactor the gamma_lccdf and log_q_gamma_cf functions, tightening type handling and increasing code efficiency. Replaced value_of with value_of_rec to reduce unnecessary type promotions and removed unused constants, simplifying code paths and supporting future maintainability. Emphasized code readability and safer interfaces, laying the groundwork for ongoing optimization of critical mathematical routines. The work demonstrated disciplined, incremental engineering with a clear focus on robust statistical modeling and mathematical correctness.