Vincent Filardi

Vincent Filardi
Mathematics Major
City College Fellow

vfilard000@citymail.cuny.edu

Vincent transferred to City College of New York after completing of his Associates of Math and Science at Norwalk Community College in Spring of 2017. Upon arriving at CCNY the following fall, he began pursuing his B.S. in Pure Mathematics with a minor in Computer Science. He spent the summer of 2018 researching dynamical systems under Dr. Alin Pogan at Miami University’s Summer Undergraduate Mathematics Research Institute (SUMSRI). Modifying the Classical Kermack-McKendrick model used for an epidemic outbreak, Vincent and his colleagues introduced new terms and parameters encapsulating the effect of prevention policies and the transmission of a disease during an epidemic. These modifications brought additional realism but also challenges due to the non-linear nature of the new system. The project required techniques such as analyzing the spectrum of the linearized system, phase plane analysis, Newtons Method, Runge-Kutta method, and extensive use of MATLAB. Vincent aims to preform similar analysis over the course of the remaining year, honing his research skills on a parabolic dynamical system that couples a scalar conservation law with a scalar reaction-diffusion equation. He wishes to continue studying mathematics in a PhD program after completing his undergraduate degree at CCNY. When not in school, he can be found in the weight room or working as a property manager and handyman in Fairfield County.