Daniel Cuzzocreo        

Daniel Cuzzocreo

Postdoctoral Lecturer

Department of Mathematics
Northwestern University Β· 2033 Sheridan Road Β· Evanston, IL 60208
Office: Locy 202

Email: dcuzz[at]math[dot]northwestern[dot]edu

About Me

I am currently a Postdoctoral Lecturer at Northwestern University. My research is in complex dynamical systems, which is the study of the behavior of points under iteration of a holomorphic function. I'm specifically interested in studying the complicated fractal structure of parameter spaces for singular perturbations of polynomials (see top image below). These are analogous to the well known Mandelbrot set for quadratic polynomial maps.

CV (updated 12/2021)

Education

Publications

  • P. Blanchard, D. Cuzzocreo, R. Devaney, E. Fitzgibbon, S. Silvestri
    "A Dynamical Invariant for Sierpinski Cardioid Julia Sets"
    Fundamenta Mathematicae 226(2014), 253-277 (.pdf)

  • Cuzzocreo D., Devaney R.L. (2016) Simple Mandelpinski Necklaces for 𝑧^2+πœ†/𝑧^2. In: AlsedΓ  i Soler L., Cushing J., Elaydi S., Pinto A. (eds) Difference Equations, Discrete Dynamical Systems and Applications. ICDEA 2012. Springer Proceedings in Mathematics & Statistics, vol 180. Springer, Berlin, Heidelberg. (.pdf)

  • Blanchard, P., Cuzzocreo, D., Devaney, R.L. et al.
    "Accessible Mandelbrot Sets in the Family 𝑧^𝑛+πœ†/𝑧^𝑛"
    Qual. Theory Dyn. Syst. 15, 49–66 (2016). (.pdf)

  • P. Blanchard, F. Cilingir, D. Cuzzocreo, R. Devaney, D. Look, E. Russell
    "Checkerboard Julia Sets for Rational Maps"
    International Journal of Bifurcations and Chaos (2013), Volume 23, Number: 02 (.pdf)

Teaching

For Fall 2021, I am teaching Math 218-1: Single Variable Calculus with Precalculus and Math 202: Finite Mathematics

For Winter 2022, I am teaching Math 230-1: Multivariable Differential Calculus

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