Engineer, implement, maintain & expand sophisticated mathematics- based quantitative computer software systems. Develop & engineer production-quality, high reliability, highly- tuned numerical code. Minimum requirements: Master's Degree in Computer Science, Computer Engineering, Mathematics or Statistics plus knowledge of the following software technologies & quantitative skills: C++, Python, Bash, Version Control, Matplotlib, NumPy/SciPy, Pandas, SQL, objective-oriented programming principles, optimization techniques, low latency programming, market microstructure in electronic markets, including knowledge of market data, order entry gateway, and order matching algorithms; machine learning; statistical modeling and estimation; hypothesis testing; and mathematical optimization. Must also pass company's required skills assessment. Send resume to: TS/HR Dept., Two Sigma Investments, 100 Ave of the Americas, NY, NY 10013. Ref. Job ID: 6016.