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@umich.edu

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

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

Trying to find me? Here is my schedule.

Teaching

I am currently teaching Math 156: Applied Honors Calculus II.

Next semester (Winter 2010) I will teach a topics course for graduate students in algebra and number theory: Math 711: The Arithmetic of Dynamical Systems

I am currently supervising the dissertation research of three graduate students: Alex Mueller (number theory), Zach Scherr (computer science and number theory), and Bryan Wyman (algebra).  I am also running the Number Theory Working Seminar, in which a group of graduate students is gaining working knowledge of class field theory by using it to solve some concrete problems (which will likely yield publishable new results).

Research

I study topics in algebra, number theory, algebraic geometry, dynamical systems, discrete mathematics, theoretical computer science, and cryptography.  I have written 36 papers with 37 coauthors.  I previously worked at the Center for Communications Research in Princeton, where I wrote over thirty proprietary papers.  This semester I have spoken on my research at the Midwest Number Theory Day,  the Midwest Number Theory Conference for Graduate Students (plenary lecture),  the OSU/UIC/UM Weekend Algebraic Geometry Workshop,  and in Michigan's Group, Lie, and Number Theory Seminar.

Selected papers

See also my full publication list and list of abstracts.

27.		A new family of exceptional polynomials in characteristic two, with R. Guralnick and J. Rosenberg, Annals of Math., to appear.
26.		Polynomials with PSL(2) monodromy, with R. Guralnick, Annals of Math., to appear.
24.		Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture, with D. Ghioca and T. Tucker, Inventiones Math. 171 (2008), 463–483.
15.		Exceptional covers and bijections on rational points, with R. Guralnick and T. Tucker, Internat. Math. Res. Notices (2007), rnm004.
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.