Students applying to the DOE CSGF's Mathematics/Computer Science (Math/CS) Track must be pursuing a doctoral degree in applied mathematics, statistics, computer science or computational science — in one of these departments or their academic equivalent. A departmental exception is made for students whose research is focused on algorithms or software for quantum information systems (QIS*) and who are enrolled in a science or engineering field. In all cases, research must contribute to more effective use of emerging high-performance computer systems.

Whereas individuals interested in the fellowship's Science & Engineering Track 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 the 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 QIS, which includes quantum computing, should choose carefully between the Math/CS Track and the Science & Engineering Track. Presently, much QIS research involves technology design and development and is carried out in physics departments. Students pursuing this line of QIS 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 must be pursuing research focused on algorithms or software for QIS. Additionally, the Math/CS Track is open to students pursuing research in algorithms or software for quantum systems in a physics department.

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