PhD in Computational Mathematics, Science and Engineering

The overall goal of the PhD program in Computational Mathematics, Science and Engineering is to educate and inspire students to be experts and leaders in the interdisciplinary areas of science and engineering focusing on the intersection of algorithms, applications, and data. The degree offered will be a Ph.D in Computational Science and Engineering.

This PhD program gives students broad and deep knowledge of the fundamental techniques used in computational modeling and data science, significant exposure to at least one application domain, and to conduct significant original research in algorithms and/or applications relating to computational and data science.  Students that have completed this PhD program will be able to:

  • Analyze problems in terms of the algorithms and pre-existing computational tools required to solve a range of problems in computational and data science, and write programs to efficiently solve the problem using cutting-edge computational hardware.  
  • Construct and implement models and simulations of physical, biological, and social situations, and use these models/simulations to understand experimental or observational data.
  • Apply discipline-focused or methodology-focused topics in computational and data science to solve problems in the student’s application domain of choice.
  • Conduct significant original research and present it in peer-reviewed articles, a written dissertation, and orally in a variety of venues. 

A more detailed description of the PhD program requirements can be found at this page, and instructions on how to apply can be found at this page.  Our downloadable brochure (suitable for printing) can be found here.  The application deadline for Fall admission is January 2nd; applicants who wish to be considered for Departmental, College, and University fellowships should ensure that all materials (including letters and transcripts) have arrived by that date.  The application deadline for Spring admission is August 1st.  If you have questions, please contact the CMSE Graduate Director.

Students in this PhD program will be able to work with CMSE faculty on topics including, but not limited to:

Scientific Computing

  • Mesoscale electromagnetics
  • Energy materials and phase filed models 
  • Multidimensional stellar evolution
  • Magnetohydrodynamics
  • Protein-protein interactions
  • Complex fluids and materials
  • Galaxy formation and cosmological structure
  • Seismic imaging and medical imaging
  • Particle accelerators
  • High power microwaves
  • Low temperature plasmas
  • Parallel and distributed computing

Computational Data Science

  • Deep learning
  • Signal processing
  • Exascale algorithms
  • Analysis and management of petascale datasets
  • Machine learning
  • High dimensional data analysis
  • Convex optimization
  • Bioinformatics
  • Harmonic analysis
  • Computational geometric and algebraic topology