Students applying to the DOE CSGF's mathematics/computer science (Math/CS) track must be pursuing a doctoral degree in applied mathematics, statistics or computer science — in one of these departments or their academic equivalent, such as computational science or electrical engineering. Research must contribute to more effective use of emerging high-performance computer systems.

Whereas traditional track applicants must have a specific science or engineering application for their research, Math/CS track candidates are expected to focus on fundamental research into enabling technologies that are broadly relevant to science and engineering applications of interest to DOE.

Such areas include (but are not limited to):

  • ODE, PDE, and integral discretization methods
  • Linear and nonlinear solvers
  • Multiscale, multi-physics coupling methods
  • Algorithms for quantum systems
  • Verification, validation, and uncertainty quantification
  • In situ data analysis
  • High-dimensional data analysis
  • Large-scale data visualization
  • High-performance compilers
  • Programming models and abstractions for heterogeneous computing
  • Domain-specific languages
  • Dynamic runtime environments
  • Power management
  • HPC development tools
  • HPC performance analysis and tools
  • Debugging at extreme scale
  • Scalable I/O
  • Scalable machine learning
  • Interpretable machine learning
  • Physics-constrained machine learning
  • Robust machine learning
  • Scientific data management and engineering

The interdisciplinary program of study for fellows in this track will still include science and engineering course requirements, ensuring that they are exposed to the computational needs of applications that will use these new enabling technologies.

Students in the emerging field of quantum computing must choose carefully between the Math/CS and traditional tracks. Presently, much quantum computing research involves technology design and development and is carried out in physics departments. Students pursuing this line of quantum computing research, which makes use of scientific computing for the design and/or control of quantum information systems, should apply to the traditional track. Students who wish to apply for the Math/CS track with a focus on quantum computing must be pursuing a degree in a mathematics, statistics or computer science department and must be focused on algorithms for quantum systems; otherwise they should apply to the traditional track.

Please contact Krell Institute staff with related questions prior to submitting an application.