My broad scientific interests are in stellar astrophysics, with a particular emphasis on magnetohydrodynamics (MHD), convection theory, and the use of waves as a seismic probe of stars like the Sun. Over the last five years my research has had two primary thrusts: (1) the seismic analysis of inertio-gravity waves and MHD waves within the Sun’s atmosphere to probe the star’s interior and corona and (2) the numerical simulation of solar convection aimed at understanding the role that rotation plays in establishing the speed and structure of the convective motions responsible for the Sun’s dynamo.
APPM 2350 - Calculus 3 for Engineers
Primary Instructor
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Summer 2025
Covers multivariable calculus, vector analysis, and theorems of Gauss, Green, and Stokes. Degree credit not granted for this course and MATH 2400.
APPM 2360 - Introduction to Differential Equations with Linear Algebra
Primary Instructor
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Spring 2020 / Spring 2023
Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Credit not granted for this course and both MATH 2130 and MATH 3430.
APPM 4720 - Open Topics in Applied Mathematics
Primary Instructor
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Fall 2025
Provides a vehicle for the development and presentation of new topics that may be incorporated into the core courses in applied mathematics. Department enforced prerequisite: variable, depending on the topic, see instructor. May be repeated up to 15 total credit hours. Same as APPM 5720.
APPM 5720 - Open Topics in Applied Mathematics
Primary Instructor
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Fall 2025
Provides a vehicle for the development and presentation of new topics that may be incorporated into the core courses in applied mathematics. Department enforced prerequisite: variable, depending on the topic, see instructor. May be repeated up to 6 total credit hours. Same as APPM 4720.
ASTR 5400 - Introduction to Fluid Dynamics
Primary Instructor
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Spring 2019 / Spring 2024 / Spring 2026
Covers equations of fluid motion relevant to planetary atmospheres and oceans and stellar atmospheres; effects of rotation and viscosity; and vorticity dynamics, boundary layers and wave motions. Introduces instability theory, nonlinear equilibration and computational methods in fluid dynamics. Department enforced prerequisite: partial differential equations or equivalent. Same as ATOC 5400 and PHYS 5400.
ASTR 5540 - Mathematical Methods
Primary Instructor
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Fall 2020
Presents an applied mathematics course designed to provide the necessary analytical and numerical background for courses in astrophysics, plasma physics, fluid dynamics, electromagnetism, and radiation transfer. Topics include integration techniques, linear and nonlinear differential equations, WKB and Fourier transform methods, adiabatic invariants, partial differential equations, integral equations, and integrodifferential equations. Draws illustrative examples from the areas of physics listed above. Same as ATOC 5540.
ATOC 5540 - Mathematical Methods
Primary Instructor
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Fall 2020
Applied mathematics course; provides necessary analytical background for courses in plasma physics,fluid dynamics, electromagnetism, and radiative transfer. Covers integration techniques, linear and nonlinear differential equations, WKB and Fourier transform methods, adiabatic invariants, partial differential equations, integral equations, and integrodifferential equations. Same as ASTR 5540.
