Michael Zieve Department of Mathematics University of Michigan 530 Church Street Ann Arbor, MI 48109‒1043, USA

Office: East Hall, Room 3835 Phone: (734) 615‒3650 Fax: (734) 763‒0937 email: zieve at umich.edu

I am a Professor in the Mathematics Department at the University of Michigan.

Want to know more about me? Here is my curriculum vitae.

Teaching and Mentoring

My current PhD student is Jineon Baek. My former PhD students are GilYoung Cheong, Yifeng Huang, Trevor Hyde, Sijun Liu, Alex Mueller, Andrew O'Desky, Zach Scherr, Ben Weiss, and Brian Wyman (and officially Qian Yin, although she was really a student of Mario Bonk).

Here is my full list of educational activities, and here is a page of electronic resources for Michigan faculty and students.

I frequently mentor the research of high school students, especially through MIT's PRIMES program, and REU students.

Research

My research uses algebraic methods to treat topics in various areas of math, including algebra, number theory, algebraic geometry, dynamical systems, discrete mathematics, complex analysis, algebraic topology, theoretical computer science, and cryptography.  I have written 54 papers with 51 coauthors.  I previously worked at the Center for Communications Research in Princeton, where I wrote over thirty proprietary papers.

Selected papers

See also my full publication list and list of abstracts.

33.		Linear relations between polynomial orbits, with D. Ghioca and T. Tucker, Duke Math. J. 161 (2012), 1379–1410.
27.		A new family of exceptional polynomials in characteristic two, with R. Guralnick and J. Rosenberg, Annals of Math. 172 (2010), 1361–1390.
26.		Polynomials with PSL(2) monodromy, with R. Guralnick, Annals of Math. 172 (2010), 1315–1359.
24.		Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture, with D. Ghioca and T. Tucker, Inventiones Math. 171 (2008), 463–483.
12.		Curves of every genus with many points, II: Asymptotically good families, with N. Elkies, E. Howe, A. Kresch, B. Poonen and J. Wetherell, Duke Math. J. 122 (2004), 399–422.

Coauthors

I am not a midwestern artist versed in eastern spirituality, a Minneapolis motorcyclist nicknamed "The Dude", or an MIT basketball player who played high school tennis in Seattle. However, I am the winner of the Cryan tennis tournament and other tournaments in New Jersey.