William J. Layton

  • Professor, PhD

Dr. Layton has published 200 + refereed papers and 7 mathematics books. He has advised numerous MS students and undergraduate student researchers and directed 43 PhD students of high accomplishment. Many of his PhD students have won awards for their high quality thesis research, have gone on to tenure track positions at research universities and are now producing their own excellent PhD students. PhD students of his students are advising successful PhD students.


Office Hours:

Spring 2023 

MWF 10:00 - 10:30AM and by appointment.


Education & Training

  • PhD, University of Tennessee

Research Area

Research Interests

Dr. Layton's research involves novel algorithms, models and analysis aiming to understand fluid motion.  For example, one central challenge is in modeling the large eddies (such as storm fronts, hurricanes and tornadoes in the atmosphere) in turbulent flow, predicting their motion in computational experiments and validating mathematically the turbulence models and algorithms developed. Other current challenges in his research are to develop new mathematical tools (algorithms with theory) for studying flow and contaminant transport between surface and ground water ensemble in coupling atmosphere models and ocean models in climate studies and simulation algorithms to address Newtonian uncertainty.