Cara Mullen

Math Graduate Student at the University of Illinois at Chicago

Photo of the Chicago skyline, as viewed from North Avenue beach.

Research

I am interested in Arithmetic Dynamics, Number Theory, and Complex Dynamics - specifically the p-adic analogues of well understood objects and phenomena from Complex Dynamics. My thesis advisor is Professor Laura DeMarco from the Mathematics Department at Northwestern University.

Preprints

The critical orbit structure of quadratic polynomials in Zp. Submitted for publication, 27 pages. pdf.

Conferences

I have attended the following conferences and workshops:

I presented a poster at the Midwest Dynamical Systems Meeting in 2013, 2014, and 2015. I also presented a poster at Silvermania in 2015.

Photo of Cara Mullen presenting a poster at the Midwest Dynamical Systems Meeting in 2014. Photo of Cara Mullen presenting a poster at the Silvermania conference in 2015.
Photo of Cara Mullen giving a talk at Northwestern in 2014.

Seminar Talks

I have given the following seminar talks in the Chicago area:

  • "The p-adic Mandelbrot Set and Other Peculiarities of Arithmetic Dynamics," Graduate Student Colloquium, University of Illinois at Chicago. (November 2015)
  • "The p-adic Mandelbrot Set and Other Peculiarities of Arithmetic Dynamics," Graduate Student Seminar, Northwestern University. (December 2014)
  • "An Introduction to Berkovich Space," Graduate Number Theory Seminar, University of Illinois at Chicago. (October 2014)
  • "An Introduction to Arithmetic Dynamics," Chicago Number Theory Meeting, Northwestern University. (September 2014)
  • "A Further Look into the Critical Orbit Structure of over ," Graduate Number Theory Seminar, University of Illinois at Chicago. (March 2014)
  • "Critical Orbit Structure of over ," Graduate Number Theory Seminar, University of Illinois at Chicago. (November 2013)
  • "An Introduction to p-adic Dynamics," Number Theory Working Seminar, University of Illinois at Chicago. (May 2013)