Algebraic structures, such as groups, rings and fields, provide a rigorous language for expressing symmetry and invariance in numerous mathematical contexts. Their integration with the theory of ...

Earn an Online Dynamic Systems Certificate. Equip Yourself For Success in Model-Based Engineering. Our world is composed of dynamic systems: those that are not static but that change with time due to ...

homework sets (assigned roughly bi-weekly during the semester). class participation (extra points for helping me to make this class a lively one) projects (written project due at the end of the ...

Iteration of a rational function R gives a complex dynamical system on the Riemann sphere. We introduce a C*-algebra 𝓞R associated with R as a Cuntz-Pimsner algebra of a Hilbert bimodule over the ...

I regularly teach the Algebra I, Linear Algebra, and Ergodic Theory graduate courses with great enthusiasm and pleasure. My primary goal in those courses is to teach the students the way of modern ...