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# Prof. Dr. Irene Bouw

 Office: Helmholtzstr. 18, Room E 08 Phone: +49 731 50 - 23567 Fax: +49 731 50 - 23618 E-mail: irene.bouw AT uni-ulm.de Postal Address: Universitaet UlmInstitut fuer Reine MathematikD-89069 Ulm

Office Hours: Tuesday, 10.15-11.15

Mini-Workshop:
Algebraic Curves and Cryptography

Publications:

 Tame covers of curves: p-ranks and fundamental groups PhD thesis, available on request. The p-rank of ramified covers of curves Comp. Math. 126(2001), no. 3, 295--322. The p-rank of curves and covers of curves Courbes semi-stables et groupe fondamental en géométrie algébrique (Luminy, 1998), 267--277, Progr. Math., 187, Birkhäuser, Basel, 2000. Reduction of covers and Hurwitz spaces. With Stefan Wewers. Crelle J. 574 (2004), 1--49. Rigidity, Reduction, and Ramification. With Rachel Pries. Math. Ann 326 (2003), 803--824. Stable reduction of modular curves. With Stefan Wewers. math.AG/0210363. Modular curves and abelian varieties,Progress in Math. 224 (2004), 1--22, Birkhäuser. Reduction of the Hurwitz space of metacyclic covers. Duke Math. J. 121 (2004), 75--111. Ordinary elliptic curves of high rank over $\bar F_p(x)$ with constant j-invariant. With Claus Diem en Jasper Scholten. Manuscripta Math. 114 (2004), 487--501 Alternating groups as monodromy groups in positive characteristic. With Stefan Wewers. Pacific J. Math. 222 (2005), 185-?? Asymptotically good towers and differential equations. With Peter Beelen. Compositio Math. 141 (2005), 1405--1424. The local lifting problem for dihedral groups. With Stefan Wewers. Duke Math J. 134 (2006), 412--452. Rational functions with given monodromy on generic curves. With Stefan Wewers. problems from the workshop on "automorphisms of curves" (Leiden 2004). Rend. Sem. Math. Univ. Padova. 113 (2005), 129--177. Invariants of ternary quadratic forms. Asterique, 312, 2007. Pseudo-elliptic bundles, deformation data, and the reduction of Galois covers Habilitation thesis. Indigenous bundles with nilpotent p-curvature. With Stefan Wewers. Internat. Math. Res. Notices (2006), 1-37. Teichmueller curves, triangle groups, and Lyapunov exponents. With Martin Moeller. To appear in Annals of Math. The accessory parameter problem in positive characteristic. arXiv: preprint. Construction of covers in positive characteristic via degeneration. Erscheint in Proc. A.M.S. Differential equations associated with nonarithmetic Fuchsian groups, with Martin Moeller. preprint. Deformation data, Belyi maps, and the local lifting problem, with Stefan Wewers and Leonardo Zapponi. To appear in Trans. AMS. Some 4-point Hurwitz numbers in positive characteristic, with Brian Osserman. Preprint.