Computational Scientist (Applied Mathematics & Modeling)
Fully Remote • Remote Worker - N/A
Description

About Us  

Mobius Logic delivers advanced analytics, artificial intelligence, modeling, and software engineering solutions to government and commercial clients. We help organizations solve complex technical challenges through data-driven decision making, simulation, scientific computing, and innovative analytical approaches.? 


Our work spans defense, healthcare, engineering, research, and emerging technology domains. We value intellectual curiosity, rigorous problem solving, and practical solutions that create measurable impact.


The Role  

Mobius Logic is seeking a Computational Scientist to develop mathematical models, simulation environments, optimization methods, and computational solutions for challenging real-world problems. 


This role is designed for individuals who are equally comfortable working with mathematical theory and computational implementation. Successful candidates are able to understand advanced technical concepts, evaluate methods described in scientific literature, and translate those ideas into working software, simulations, and analytical tools. 


We are looking for practitioners with strong mathematical backgrounds who can also move beyond theoretical analysis to build, test, and validate computational solutions that support research, decision-making, and operational outcomes. 


You will contribute to projects involving mathematical modeling, simulation, optimization, computational research, decision-support systems, machine learning applications, and AI-enabled analytical capabilities while working alongside a multidisciplinary team of mathematicians, researchers, software developers, and engineers. 


The work focuses on mathematical modeling, scientific computing, simulation, optimization, uncertainty quantification, and machine learning where appropriate. This is not a traditional business analytics or dashboard development role. 


 

Key Responsibilities May Include 

  • Develop mathematical and computational models of complex systems, processes, and environments. 
  • Design and implement simulation frameworks used for analysis, experimentation, prediction, optimization, and decision support. 
  • Apply probability, statistics, optimization, numerical methods, and stochastic modeling techniques to solve challenging technical problems.  
  • Develop maintainable, reusable, and well-documented software, algorithms, and computational capabilities supporting modeling, simulation, optimization, and analytical workflows. 
  • Generate and analyze synthetic data to support simulation, experimentation, and machine learning applications.
  • Apply machine learning techniques when they contribute to solving mathematically driven problems.
  • Evaluate emerging mathematical, computational, and artificial intelligence methodologies and assess their applicability to client challenges.
  • Collaborate with engineers, researchers, software developers, and stakeholders to transform requirements into practical technical solutions.
  • Present technical findings to both technical and non-technical audiences.
Requirements

Bachelor’s degree (Master's preferred) in Applied Mathematics, Computational Mathematics, Physics, Operations Research, Aerospace Engineering, Mechanical Engineering, Systems Engineering, Computer Science (with substantial coursework or experience in scientific computing, modeling, simulation, machine learning, or applied mathematics), or a closely related quantitative discipline. 

  • 2+ years of professional, research, academic, or applied experience developing mathematical models, simulations, optimization methods, or computational analyses. 
  • Demonstrated experience developing, implementing, analyzing and deriving results from computational models or simulations. 
  • Ability to independently develop computational solutions from technical requirements, mathematical formulations, and scientific documentation. 
  • Strong foundation in probability, statistics, linear algebra, numerical methods, optimization, and mathematical modeling. 
  • 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.

Preferred Qualifications  

Experience with one or more of the following:

  • Monte Carlo simulation
  • Machine learning, reinforcement learning, or scientific machine learning 
  • Surrogate modeling or hybrid physics-informed/data-driven approaches 
  • Optimization algorithms
  • Agent-based modeling
  • Control system 
  • Uncertainty quantification
  • Statistical modeling
  • Parallel or distributed computing 
  • Modern software architecture, APIs, containerization, and deployment of computational capabilities 
  • Hardware in the loop simulation 
  • GPU programming 

Also valued are: 

  • Experience implementing methods described in peer-reviewed journals, technical reports, or other scientific documentation. 
  • Familiarity with scientific computing ecosystems such as NumPy, SciPy, PyTorch, JAX, or related platforms. 
  • Experience working with government, research, defense, aerospace, healthcare, or engineering programs. 
  • Publications, open-source contributions, patents, or significant technical projects demonstrating both mathematical rigor and successful implementation. 

What Success Looks Like 

In this role, you will help solve problems that do not have obvious answers. Success requires curiosity, analytical rigor, creativity, and the ability to translate mathematical concepts into working computational solutions.  


Strong candidates can read a technical paper, understand the underlying mathematics, evaluate the assumptions and limitations, implement the approach in software, design experiments to validate performance, and communicate results effectively to technical and non-technical stakeholders. 


Mobius Logic, Inc. is an Equal Opportunity Employer committed to diversity and inclusion in the workplace. All qualified applicants will receive consideration for employment without regard to sex, race, color, age, national origin, religion, physical and mental disability, genetic information, marital status, sexual orientation, gender identity/assignment, citizenship, pregnancy or maternity, protected veteran status, or any other status prohibited by applicable national, federal, state or local law. Mobius Logic promotes a drug-free workplace.?? 


This job description in no way states or implies that these are the only duties to be performed by the employee(s) of this position. Employees will be required to follow any other job-related instructions and to perform any other job-related duties requested by any person authorized to give instructions or assignments. All duties and responsibilities are essential functions and requirements and are subject to possible modification to reasonably accommodate individuals with disabilities. To perform this job successfully, the employee(s) will possess the skills, aptitudes, and abilities to perform each duty proficiently. Some requirements may exclude individuals who pose a direct threat or significant risk to the health or safety of themselves or others. The requirements listed in this document are the minimum levels of knowledge, skills, or abilities. This document does not create an employment contract, implied or otherwise, other than an at will relationship.