Portrait photo Michael E. Zieve

Curriculum vitae      Email: zieve@math.rutgers.edu

I am currently visiting the Department of Mathematics at Rutgers University.

Research

I study topics in algebra, number theory, algebraic geometry, dynamical systems, discrete mathematics, theoretical computer science, and cryptography. I have written 34 papers with 37 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.

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

Ram Abhyankar (Purdue)
Simeon Ball (Catalunya)
Bob Beals (IDA/CCR-P)
Manjul Bhargava (Princeton)
Steve Cohen (Glasgow)
Janos Csirik (AT&T)
David desJardins (Google)
Iwan Duursma (Illinois)
Noam Elkies (Harvard)
Xander Faber (McGill)
Rainer Fuhrmann (IBM)
Arnaldo Garcia (IMPA)
Dragos Ghioca (Lethbridge)
Danny Goldstein (IDA/CCR-L)
Bob Guralnick (USC)
Everett Howe (IDA/CCR-L)
Ben Hutz (Amherst)
Patrick Ingram (Waterloo)
Rafe Jones (Holy Cross)
Neeraj Kayal (DIMACS)
Andrew Kresch (Zurich)
Greg Kuperberg (UC Davis)
Hendrik Lenstra (Leiden)
Richard Lyons (Rutgers)
Michelle Manes (Hawaii)
Ariane Masuda (Ottawa)
Peter Müller (Würzburg)
Harald Niederreiter (Singapore)
Bjorn Poonen (MIT)
Eric Rains (Caltech)
Joel Rosenberg (IDA/CCR-L)
Igor Shparlinski (Macquarie)
Fernando Torres (Campinas)
Tom Tucker (Rochester)
Joe Wetherell (IDA/CCR-L)
Doug Wiedemann (IDA/CCR-P)
Dave Yuen (Lake Forest)

Disambiguation

I am not a Chicago 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.