Daniel Cuzzocreo        

Daniel Cuzzocreo

Visiting Assistant Professor

Mathematics and Statistics Department
Smith College · 44 College Lane · Northampton, MA 01060
Office: Burton 308

Email: dcuzzocreo[at]smith[dot]edu


About Me

I am a Visiting Assistant Professor at Smith College. I recently completed my Ph.D. at Boston University, working with advisor Bob Devaney. 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

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)

  • D. Cuzzocreo, R. Devaney
    "Simple Mandelpinski Necklaces for z2 + λ/z2" 2012 (to appear) (.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 Spring 2014 I am a Teaching Fellow for MA 225 Multivariable Calculus and MA 412 Complex Variables.

My office hours are Wednesdays from 3 to 4 and Fridays from 9 to 10.

Past courses

  • MA 226 Differential Equations, Summer 2013
  • MA 142 Introduction to Linear Algebra, Summer 2012
  • MA 412 Complex Variables, Summer 2011
  • MA 124 Calculus II, Summer 2010
      4

      4

      1

      2