Brigham Young University - Mathematics
Applied Mathematician
Research
Joshua
Lytle
Spanish Fork, Utah
I am a recent graduate from Brigham Young University with a PhD in applied mathematics, with a focus on nonlinear PDEs, numerical analysis, and scientific computing. I am currently interested in applications of sta- tistics, data science and machine learning, and helping organizations make data-driven decisions.
Teaching Assistant
• Taught college algebra, calculus 2, business calculus, and multivariable calculus.
• Teaching assistant for calculus 1-2, partial differential equations, linear functional analysis, and nonlinear dynamical systems and chaos.
Content Developer
• Developed and taught a year-long sequence of computational labs in Python solving applications of ODEs and PDEs, for BYU’s applied mathematics program for senior undergraduate students (see www.acme.byu.edu and https://github.com/joshualy/Labs)
Researcher
• Examined the stability of viscous detonations in the multi-dimensional reactive Navier-Stokes equations, covering a large parameter space with parallel processing tools and BYU’s supercomputer
• Built StabLabPy, a Python library providing numerical tools for studying the stability of traveling waves via the numerical Evans function (see https://github.com/joshualy/stablab_python)
• Used numerical continuation to track unstable eigenvalues of the high Lewis number combustion system as exothermicity increased, reducing computation time from several weeks to several hours
Data Scientist
• Analyzed methods of imputing clinical lab measures in Geisinger’s EHR data.
• Refined the BTI Institute’s use of permuted, model permuted, and rank permuted p-values to deal with statistical significance in their genome-wide association studies (GWAS).
M.S.
Mathematics
Doctor of Philosophy (Ph.D.)
Mathematics
B.S.
Mathematics
Teaching Assistant
• Taught college algebra, calculus 2, business calculus, and multivariable calculus.
• Teaching assistant for calculus 1-2, partial differential equations, linear functional analysis, and nonlinear dynamical systems and chaos.
Content Developer
• Developed and taught a year-long sequence of computational labs in Python solving applications of ODEs and PDEs, for BYU’s applied mathematics program for senior undergraduate students (see www.acme.byu.edu and https://github.com/joshualy/Labs)
Researcher
• Examined the stability of viscous detonations in the multi-dimensional reactive Navier-Stokes equations, covering a large parameter space with parallel processing tools and BYU’s supercomputer
• Built StabLabPy, a Python library providing numerical tools for studying the stability of traveling waves via the numerical Evans function (see https://github.com/joshualy/stablab_python)
• Used numerical continuation to track unstable eigenvalues of the high Lewis number combustion system as exothermicity increased, reducing computation time from several weeks to several hours