- 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

- 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 - 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

Ic. Other Researcher Work Related to These Topics

My vita-list has several intellectual history lists. This includes a complete vita and a simple chronological listing of all papers (with all the pre-tex papers – around half – from 1969–1989 that I don't yet have on-line). Some articles may have a clickable .cor corrections file. Corrections policy at correct-policy.html.

- UCI mathematics
department home
page.

- To Research Table of Contents!
- Fried with "Absynthe Drinkers" at Musée D'Orsey, Spring 1994.

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