Michael Fried's Home Page: Irvine campus of the University of California

1. Arithmetic of Covers (outside Modular Towers); R(egular) I(nverse) G(alois) P(roblem).
   • Articles: Branch Cycle Lemma, connectedness of moduli – Hurwitz spaces, their cusps and components: CFPV-connectedness, Hilbert-Siegel problems
   • Talks: Arithmetic of covers, Hurwitz space components and the group theory joining them
   • Articles: Potpourri: Field Arithmetic, Hilbert's Irreducibility Theorem, results on reducibility of polynomials, Jacobians of curves, Neutron stars and large body manifestations of elementary particles
2. Finite fields, zeta functions attached to diophantine statements, Galois Stratification, solution to Schur's and Davenport's problems.
• Articles: Galois Stratification, generalizations of Exceptional covers and Davenport pairs, motivic Poincare series: relations with Serre's Open Image Theorem
• talks: Pr-exceptional covers and and motivic Poincare series
3. Modular Towers (Profinite Geometry: generalizations of modular curves) and relations to the Strong Torsion Conjecture.
• Articles: Generalizing modular curve properties to Modular Towers: Profinite Geometry and related Homological Algebra, the Strong Torsion Conjecture
• Talks: Main Conjectures on Modular Towers, construction/analysis of particular tower cusps

II. Education Assessment Work and Vita: Overview on education goals

III. Conferences, Proposals and Reports

• UCI mathematics department home page.
  
• To Research Table of Contents!
• Fried with "Absynthe Drinkers" at Musée D'Orsey, Spring 1994.
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