Summary
Mobius Logic delivers advanced analytics, artificial intelligence, modeling, and software engineering solutions to government and commercial clients. The company is seeking a Computational Mathematician to develop mathematical models, simulation environments, optimization techniques, and computational solutions for complex challenges, while collaborating with multidisciplinary teams and communicating technical findings.
Responsibilities
- Develop mathematical and computational models of complex systems, processes, and environments
- Design, build, and validate simulation frameworks used for analysis, experimentation, and decision support
- Apply probability, statistics, optimization, numerical methods, and stochastic modeling techniques to solve challenging technical problems
- Develop algorithms and software tools to support modeling, simulation, and analytical capabilities
- Design and execute computational experiments to evaluate model performance and system behavior
- Perform uncertainty quantification, sensitivity analysis, and model validation activities
- Generate and analyze synthetic data to support simulation and machine learning applications where appropriate
- Apply machine learning techniques when they contribute to solving mathematically driven problems
- Research emerging mathematical, computational, and artificial intelligence methodologies
- Collaborate with engineers, software developers, data scientists, and client stakeholders to translate requirements into technical solutions
- Document methodologies, assumptions, results, and recommendations in clear technical reports and presentations
- Present technical findings to both technical and non-technical audiences
Skills
- Master's degree in Applied Mathematics, Mathematics, Computational Mathematics, Physics, Computational Physics, Operations Research, Aerospace Engineering, Mechanical Engineering, Systems Engineering, or a closely related quantitative discipline, plus 2–5 years of relevant professional, academic, or research experience applying advanced mathematical or computational methods
- Demonstrated ability to implement mathematical models, simulations, or computational analyses using Python or another scientific computing language
- Experience developing mathematical models, simulations, computational analyses, or optimization solutions
- Knowledge of probability, statistics, linear algebra, numerical methods, and mathematical modeling techniques
- Ability to independently structure and solve complex technical problems while collaborating effectively with multidisciplinary teams
- Strong written and verbal communication skills
- U.S. Citizenship required
- Experience with one or more of the following:
o Monte Carlo simulation
o Reinforcement learning
o Optimization algorithms
o Scientific computing
o Digital twins
o Agent-based modeling
o Dynamical systems
o Control systems
o Uncertainty quantification
o Statistical modeling
- Experience working with government, research, defense, aerospace, healthcare, or engineering programs
- Familiarity with high-performance computing environments
- Publications, research experience, or advanced technical projects demonstrating applied mathematical problem solving
Qualifications
Must Haves
- Master's degree in Applied Mathematics, Mathematics, Computational Mathematics, Physics, Computational Physics, Operations Research, Aerospace Engineering, Mechanical Engineering, Systems Engineering, or a closely related quantitative discipline, plus 2–5 years of relevant professional, academic, or research experience applying advanced mathematical or computational methods
- Demonstrated ability to implement mathematical models, simulations, or computational analyses using Python or another scientific computing language
- Experience developing mathematical models, simulations, computational analyses, or optimization solutions
- Knowledge of probability, statistics, linear algebra, numerical methods, and mathematical modeling techniques
- Ability to independently structure and solve complex technical problems while collaborating effectively with multidisciplinary teams
- Strong written and verbal communication skills
- U.S. Citizenship required
Nice to Haves
- Experience with one or more of the following:
o Monte Carlo simulation
o Reinforcement learning
o Optimization algorithms
o Scientific computing
o Digital twins
o Agent-based modeling
o Dynamical systems
o Control systems
o Uncertainty quantification
o Statistical modeling
- Experience working with government, research, defense, aerospace, healthcare, or engineering programs
- Familiarity with high-performance computing environments
- Publications, research experience, or advanced technical projects demonstrating applied mathematical problem solving