Tools for Infinite Dimensional Analysis aims to provide an introduction to the background material for infinite dimensional analysis that is friendly in style and accessible to graduate students and researchers studying the above-mentioned subjects. It will save current and future researchers countless hours and promote research in these areas by removing an obstacle in the path to beginning study in areas of infinite dimensional analysis.
Focused approach to the subject matter
Suitable for graduate students as well as researchers
Detailed proofs of primary results
Title: Calculus in Virtual Reality.
Project Period: September 2018- September 2021
Description: The two overarching goals of this project are 1) to continue to create and improve demonstrations and lessons of multivariable calculus concepts in an immersive virtual reality environment that can be easily accessed using mobile technology, via the freely-available CalcVR app created by the PI and Co-PI in 2017 and 2) to measure the effectiveness of the educational material in the CalcVR app and corresponding course materials through formative and summary assessments.
My research interests include Virtual and Augmented Reality, Radon Transforms, Topological Vector Spaces, Quantum Computing, Probability, and Computer Science Education. Over the years, I have dabbled in all these subjects and others. Some of my favorite projects have been the result of work with undergraduate and/or graduate students.
Most recently, Dr. Nicholas Long and I received support to build virtual reality course materials for a multivariable calculus course. We made an app using the Unity Game Engine and the Google Cardboard framework that allows students to watch lessons, use interactive demos, and explore the geometry and calculus of multivariable functions. You can find an early version of this project on your favorite app store (links below). For more details on this project visit: Calculus in Virtual Reality
M.S. Mathematics, Louisiana State University, Baton Rouge, LA
B.S. Mathematics, summa cum laude, Nicholls State University, Thibodaux, LA
B.S. Computer Science, summa cum laude, Nicholls State University, Thibodaux, LA
Title: The Radon Transform in White Noise Analysis.
Project Period: September 2009- August 2011
Description: The project involves constructing a Radon transform in the white noise setting using the Gaussian measure. Using the Gaussian measure, the plan is to formulate a version of the Support Theorem in the infinite dimensional setting. During the second year of the project the goal is to construct one or more inversion formulas for the Gauss-Radon transform.