My research focuses on fluid dynamics from a geometric perspective. I utilize both numerics to guide my conjectures, and tools from PDEs, harmonic analysis, and Lie theory to prove my explanations.
Basaldua, J. Stewart, S. Vega, J.M.M., Drake, P. 2013. “Two Online Learning Playout Policies in Monte-Carlo Go: an application of Win/Loss States.” IEEE Transactions on AI in Games 6(1): 46-54.
Stewart, S. “Singularities of Wave Equations with Quadratic Nonlinearities.” 2015 Festival of Scholars at Lewis & Clark College.
Stewart, S. “Things Fall Apart: the Spontaneous Blowup of Water.” 2015 Senior Defense.
Stewart, S. “Singularities of Wave Equations with Quadratic Nonlinearities.” 2015 Joint Mathematical Meetings.
Stewart, S. “Orbigraphs: Defining a Graph Theoretic Analogue of an Orbifolds” 2013 Young Mathematicians Conference.
Gavin, C. Stanhope, L. Stewart, S. 2013. “Orbigraphs: Defining a Graph Theoretic Analogue of an Orbifold.” Summer Research.
Stewart, S. 2015. “Singularities of Wave Equations with Quadratic Nonlinearities.” Senior Thesis.
Stewart, S. 2015. “The ‘Black-hole’ equation and the Stochastic Calculus.” Class Project.
Stewart, S. 2013. “R for the Practical Person.” Tutorial.
Drake, P., Gavin, C., Stewart, S. 2013. “Result Aggregation in Root-Parallized Computer Go.” Draft.