Scott A. Strong is a Teaching Professor in the Department of Applied Mathematics and Statistics at the Colorado School of Mines, where he has held an instructional faculty appointment since 2003 and has held the rank of full teaching professor since 2013. His research background is in mathematical physics, where he primarily studies the motions of one-dimensional topological defects whose dynamics arise from autonomous interactions with the three-dimensional ambient Euclidean space. Such objects can be realized as vortices in quantum liquids or centerlines of certain protein complexes. His research focuses on the modeling, analysis, and simulation of wave motion in these nonlinear media. Much less recently, he has studied the effects of coordination and observation on student attitudes and outcomes in both classroom and undergraduate research settings. Somewhat recently, he has reported on the structure and value of educational modalities involving studio models of multivariate calculus, and differential equations, emphasizing explicit instruction on concepts from educational psychology, e.g., growth mindset, how learning works, metacognitive strategies, self-regulated learning, lifelong learning, holistic Bloom's, cognitive load theory, goal-setting theory, motivation and self-efficacy, mindfulness, life-long learning, emotion and learning. # Teaching My regular teaching duties are focused on the following materials: * [[Teaching/MATH225/MATH225 - Differential Equations|MATH225 - Differential Equations]] * [Live notes](https://notability.com/app/note/542dbe55-51b3-4830-b654-baa0b3cf8030) * [Questions!](https://www.menti.com/alm92xpztuxt) * [[Topics in scientific computing]] * [[MATH307Su26 - Assignments]] * [[MATH310 - Introduction to Mathematical Modeling]] Irregularly, I have also taught the following topics: * Linear algebra * Advanced engineering mathematics * Multivariate calculus * Mathematical dynamics * Introduction to Fourier Analysis * Mathematical modeling with Schrodinger's equation # Research Currently, I am working on the following: * Theoretical modeling of vortex filaments and the Hasimoto transform * Derivation from continuum mechanics * Asymptotic approximations to singular integral representation of velocity fields induced by line defects * Linear stability analysis of plane waves with fully nonlinear perturbation * Differential geometry of active filaments * Framing and scientific visualization * Fully nonlinear shock waves on vortex filaments * Simulation via operator splitting with artificial viscosity * Sparse Identification of Nonlinear Dynamics (SINDy) * Application to the identification of limit cycles * Use of SHRED to investigate weakly interacting nonlinear oscillators and synchronization * Application to interbeat interval data and quantification of chaotic dynamics * Ordinary differential equations education # Degrees and Appointments Scott A. Strong holds a BSc in Mathematical and Computer Science (2001), MS in Applied and Computational Mathematics (2006), and a PhD in Applied Physics (2018) from the Colorado School of Mines. He has been an instructional faculty member at Mines since 2003. Details appear below and in [[Scott_A_Strong_CV___2026.pdf]] ## Degrees, thesis, topics, and projects - Ph.D. in Applied Physics, Colorado School of Mines (2018) - **Thesis**: Geometric Quantum Hydrodynamics and Bose-Einstein Condensates: Non-Hamiltonian Evolution of Vortex Lines - **Topics**: Differential Geometry of Space Curves, Fluid Dynamics of Bose–Einstein Condensation, Nonlinear Partial Differential Equations, Non-Hamiltonian Models, Dissipative Solitons, Dispersive Shock Waves - MS in Applied and Computational Mathematics, Colorado School of Mines (2006) - **Topics**: Abstract, Functional and Asymptotic Analysis, Numerical Linear Algebra and Differential Equations, Wave Modeling, Quantum Mechanics, and Evaluation and Assessment in Mathematics Education - BSc in Mathematical and Computer Sciences with an Area of Special Interest in Physics, Colorado School of Mines (2001) - **Topics**: Complex and real analysis, dynamical systems, modern physics, parallel computing, algorithms, operating systems and software engineering - **Project**: Implementation of CLAPAK eigenvalue routines for sparse matrices associated with vibrational modes of multi-component crystal lattices ## Academic Appointments - 2013-Present: Teaching Professor, Department of Applied Mathematics and Statistics, Colorado School of Mines - 2010-2013: Teaching Associate Professor, Department of Applied Mathematics and Statistics, Colorado School of Mines - 2003-2010: Instructor, Department of Mathematical and Computer Sciences, Colorado School of Mines - 2001-2003: Adjunct Instructor, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, CO # Useful Links - [GitHub](https://github.com/scottstrong) - [Linkedin](https://www.linkedin.com/in/scott-a-strong/)