I'm interested in model theory (a branch of logic), especially in the
classification theory of non elementary classes,
infinitary logics, extensions of first-order logic, combinatorial
set theory, and the
applications of these areas to algebra.
Monica VanDieren.
Szego Assistant Professor at Stanford and T.H.Hildebrandt Assistant Professor at the
University of Michigan. PhD thesis:
"Categoricity and Stability in Abstract Elementary Classes"
pdf 130 pages.
Alexei Kolesnikov.
Assistant Professor at
University of Michigan. PhD thesis:
"Generalized amalgamation
in Simple theories and characterization of dependence in non-elementary classes"
pdf 107 pages.
Will Boney.
Benjamin Peirce Fellow and NSF Postdoctoral Fellow at
Harvard University. PhD thesis: "Advances in Classification Theory for Abstract Elementary Classes"
pdf 162 pages.
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(c) All material accessible through this page is copyright by
Rami Grossberg and his coauthors and by the corresponding publishers.
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and academic projects.
Rami Grossberg and
Saharon Shelah. On universal locally finite groups,
Israel Journal of Mathematics, 41, (1983) 289--302.
Rami Grossberg.
Models with second order properties in successors of singulars,
Journal of Symbolic Logic, 54, (1989) 122--137.
pdf file from JSTOR
Rami Grossberg and
Saharon Shelah.
On the number of non isomorphic
models of an infinitary theory which has the order property Part A,
Journal of Symbolic Logic, 51, (1986) 302--322.
pdf file from JSTOR
Rami Grossberg and
Saharon Shelah.
A non-structure theorem for a
theory which has the unsuperstability property,
Illinois J. of Mathematics, 30, (1986) 364--390.
Rami Grossberg.
A downward L\"{o}wenheim Skolem theorem for
theories which have the unsuperstability property,
Journal of Symbolic Logic, 53, (1988) 231--242.
pdf file from JSTOR
Rami Grossberg and
Saharon Shelah.
On the structure of $Ext_p(G,{\bf Z})$,
Journal of Algebra, 121, (1989) 117--128.
Rami Grossberg and Bradd Hart.
The classification theory of excellent classes,
Journal of Symbolic Logic, 54, (1989) 1359--1381.
pdf file from JSTOR
Michael Albert and Rami Grossberg. Characterizing stability and superstability by unions of chains and saturated models,
Research Report No. 89-47, May 1989.
pdf file
Rami Grossberg.
Indiscernible sequences in a model which fails to
have the order property, Journal of Symbolic Logic, 56 (1991) 115--123.
pdf file from JSTOR
Rami Grossberg. On chains of relatively saturated submodels of a
model without the order property, Journal of Symbolic Logic,
56, (1991) 123--128.
pdf file from JSTOR
Rami Grossberg. Review of Wilfried Hodges's book --
"Building models by games", Journal of Symbolic Logic, 56 (1991)
752--753.
pdf file from JSTOR
Saharon Shelah
and Rami Grossberg.
On cardinalities in quotients of inverse limits of groups,
Mathematica Japonica. 47 (1998), no. 2, 189-197.
ps
,
dvi
,
pdf
.
Rami Grossberg.
Classification theory for
abstract elementary classes,
Logic and Algebra, ed. Yi Zhang,
Contemporary Mathematics, Vol 302, AMS, (2002), pp. 165--204.
ps
,
pdf
.
Rami Grossberg and
Olivier Lessmann.
Abstract decomposition theorem and
applications,
Contemporary Mathematics, Vol 380, (2005), AMS, pp. 73--108.
ps
,
pdf
.
Rami Grossberg and
Monica VanDieren.
Shelah's Categoricity Conjecture from a
successor for Tame Abstract Elementary Classes.
Journal of
Symbolic Logic, Vol 71 (2006) 2,
553--568.
ps
,
pdf
.
Rami Grossberg and
Monica VanDieren.
Galois-stability for Tame Abstract Elementary Classes.
Journal of Mathematical Logic, Vol. 6, No. 1 (2006) 25--49. ps
,
pdf
.
Rami Grossberg and
Monica VanDieren.
Categoricity from one successor cardinal
in Tame Abstract Elementary Classes.
Journal of Mathematical Logic, Vol. 6, No. 2 (2006)
181--201.
ps
,
pdf
.
Rami Grossberg and
Alexei Kolesnikov.
Superior Abstract Elementary Classes are Tame.
26 pages, last updated 9/9/05.
ps
,
pdf
. submitted.
Rami Grossberg,
Monica VanDieren and
Andrés Villaveces.
Uniqueness of Limit Models in Classes with Amalgamation.
pdf
. Mathematical Logic Quarterly - Vol.62, Issue 4-5/2016, page 367-382.
Will Boney
and Rami Grossberg.
Forking in Short and Tame AECs. pdf
.
Ann. Pure Appl. Logic 168 (2017), no. 8, 1517--1551.
Note on PDF: Some ligatures may not display correctly on your screen,
depending on your operating system.
However, the output on a PostScript printer should be of excellent
quality.
Little before fall 1992 I started a
Mathematical Logic Seminar
and managed it until fall 2002. I am not responsible for that
seminar anymore, it is run now
in a different format than in the past by Ernest Schimmerling.
At present I am organizing a
Model Theory Seminar. The seminar meets on Mondays 5-6:30PM in WeH
7201. Information about current talks and talks given the last three years
can be found
here.
Some links
Ariella: Most people think that girls can not excel at engineering and math, but I dont care what they say, I am going to be an engineer someday,
From the Pittsburgh Post Gazette,
A workshop dedicated to Classification Theory for Abstract Elementary
Classes was held at the American Institute of Mathematics
July 17 to July 21 2006.
More information,