Bio

I am a fourth year graduate student of the Mathematics Department at Columbia University. My advisor is Johan de Jong . I studied mathematics at the University of Michigan for my undergraduate degree. There I worked under the guidance of Jeffrey C. Lagarias on understanding the level sets of Takagi's fractal curve. Links to our work in this area are given below.

My current main research interests include GIT quotients, equivariant intersection theory, Artin stacks, and del Pezzo surfaces in finite characteristic.

Outside of mathematics, my interests include running slower than Thomas and learning Latin dance. I used to enjoy playing basketball, flag football, and competing with Alex at squash, but recently have not found the time.

Contact

My email address is: [my-last-name] [my-first-initial] [at] math.columbia.edu.

Preprints

• J.C. Lagarias, Z. Maddock. "Level sets of the Takagi function: generic level sets." arXiv:1011.3183v3 [math.CA]

Publications

• J.C. Lagarias, Z. Maddock. "Level sets of the Takagi function: local level sets." Monatshefte für Mathematik, 2012.
  Springerlink DOI: 10.1007/s00605-012-0399-4.
• Z. Maddock. "Level sets of the Takagi function: Hausdorff dimension."
  Monatshefte für Mathematik, Vol. 160, No. 2, May 2010.
  Springerlink DOI: 10.1007/s00605-009-0109-z.

Presentations

• "Integration on GIT quotients by non-abelian groups."
  AGNES 2012 Poster session. Amherst, MA.