Conference
on Stark's Conjecture and related topics
Johns Hopkins University, August 59, 2002
Organized by D. Burns (London), C. Popescu (Baltimore), J. Sands (Burlington),
D. Solomon (London), with support from the National
Science Foundation, the Number
Theory Foundation, and Johns Hopkins
University.
RESEARCH
My main mathematical interests are in the fields of number theory
and arithmetic algebraic geometry,
with a focus on special values of Lfunctions. My main
results and research projects aim at formulating
and providing evidence for strong versions ("over Z", in Tate's
and Rubin's terminology) of Stark's
Conjectures for Artin Lfunctions, studying Grosstype padic
refinements of these statements, and their
relations with:

The Equivariant Tamagawa Number Conjecture of BurnsFlach;

Equivariant Main Conjectures in Iwasawa theory and their function field
analogues, formulated in terms ladic and crystalline homology of 1motives;

Euler Systems, as defined by Kolyvagin, Rubin, and KatoPerrin Riou;

The Galois module structure of ideal classgroups and groups of units:
Grastype conjectures,
KummerRibettype theorems, Brumer's Conjecture, and Chinburg's Omega_3
Conjecture;

Leopoldt's Conjecture.
My research is currently funded through the National
Science Foundation Research Grant DMS0200543.
Here are links to some of my recent preprints and reprints:

On a Refined Stark Conjecture for Function
Fields (
stark.ps,
stark.dvi, stark.pdf
)
(Compositio
Mathematica, Vol. 116, No.3 , pp. 321367, 1999)
see Featured
Review

Grastype Conjectures for Function Fields (
gras.ps,gras.dvi,
gras.pdf )
(Compositio
Mathematica, Vol. 118, No. 3, pp. 263290, 1999)
see Featured Review

Base Change for Starktype Conjectures "over
Z" ( bc.ps,
bc.dvi,
bc.pdf)
(Journal
fur die Reine und Angew. Mathematik, Vol 542, pp 85111, 2002)

Stark's Question and a strong form of Brumer's Conjecture
(sq.ps, sq.dvi,sq.pdf)
(to appear in Compositio
Mathematica)

The RubinStark Conjecture for imaginary abelian fields
of odd prime power conductor (rst2.dvi,
rst2.ps, rst2.pdf)
(to appear in Mathematische
Annalen)

On the RubinStark Conjecture for a special class of CM
extensions of totally real number fields (rst1.dvi,
rst1.ps,
rst1.pdf)
(to appear in Mathematische Zeitschrift)
TEACHING
Spring 2003 teaching: Calculus
II
Fall 2002 teaching:Introduction
to Algebraic Number Theory
Spring 2002 teaching: Graduate
Algebra II
Fall 2001 teaching: Graduate
Algebra I (Dedicated to the memory of Professor Nicolae Radu)
Spring 2001 teaching: Advanced
Algebra II
Fall 2000 teaching: Advanced
Algebra I
USEFUL LINKS

The American Mathematical Society

Number Theory Web

MathSciNet (Mathematical
Reviews on the Web)

Algebraic Number
Theory Archives

Journal Storage

Encyclopaedia Britannica

Book Finder (book dealers
on line)

The MacTutor History
of Mathematics Archive
This page was last modified on May 15, 2002.
Send questions, comments to cpopescu@math.jhu.edu
Go to JHU Math. home page