Rami Grossberg

Department of Mathematical Sciences
Carnegie Mellon University

Ph.D. Hebrew University of Jerusalem, 1986 (advisor: Saharon Shelah )

	Research
	Recent papers
	Teaching
	Model Theory Seminar
	Some links
	Personal Information
	Email

Research

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. John Baldwin wrote a paper containig survey of results and some problems that occupy me in recent years.

My old and outdated "official" page in our departmental catalog is here.

Former graduate students and first position after Ph.D.:

• Olivier Lessmann, Research Assistant Professor at University of Illinois at Chicago, PhD thesis in pdf 157 pages.
• Monica VanDieren, Szego Assistant Professor at Stanford. PhD thesis in pdf 127 pages.
• Alexei Kolesnikov, Assistant Professor at University of Michigan. PhD thesis in pdf 107 pages.

Recent papers

Downloading files in the DVI or PDF formats is much faster since they are only 30-40% of the size of PS files. The files are optimized for PDF.
(c) All material accessible through this page is copyright by Rami Grossberg and his coauthors and by the corresponding publishers. Permission is granted for fair use in personal, noncommercial, and academic projects.

1. Rami Grossberg and Saharon Shelah. On universal locally finite groups, Israel Journal of Mathematics, 41, (1983) 289--302.
   
   
2. Rami Grossberg. Models with second order properties in successors of singulars, Journal of Symbolic Logic, 54, (1989) 122--137. pdf file from JSTOR
   
   
3. 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
   
   
4. 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.
   
   
5. 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
   
   
6. Rami Grossberg and Saharon Shelah. On the structure of $Ext_p(G,{\bf Z})$, Journal of Algebra, 121, (1989) 117--128.
   
   
7. Rami Grossberg and Bradd Hart. The classification theory of excellent classes, Journal of Symbolic Logic, 54, (1989) 1359--1381. pdf file from JSTOR
   
   
8. Michael Albert and Rami Grossberg. Rich models, Journal of Symbolic Logic, 55, (1990) 1292--1298. pdf file from JSTOR
   
   
9. 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
   
   
10. 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
    
    
11. Rami Grossberg. Review of Wilfried Hodges's book -- "Building models by games", Journal of Symbolic Logic, 56 (1991) 752--753. pdf file from JSTOR
    
    
12. Martin Goldstern, Rami Grossberg and Menachem Kojman. Infinite homogeneous bipartite graphs with unequal sides, Discrete Mathematics 149 (1996) 69-82. ps , dvi , pdf .
    
    
13. 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 .
    
    
14. John T. Baldwin, Rami Grossberg and Saharon Shelah. A characterization of the finite cover property and stability, Journal of Symbolic Logic 64 (1999) 678-684. ps , dvi , pdf .
    
    
15. Rami Grossberg and Saharon Shelah. On Hanf numbers of the infinitary order property. 19 pages, DRAFT revised on 6/9/98. ps , dvi , pdf .
    
    
16. Doug Ensley and Rami Grossberg. Ramsey's theorem in stable structures, 21 pages, last revision 5/15/97. ps , dvi , pdf .
    
    
17. Rami Grossberg and Olivier Lessmann. Dependence Relation in Pregeometries, Algebra Univesalis 44 (2000) pp 199-216. The published paper from Birkhauser's site. ps , dvi , pdf .
    
    
18. Rami Grossberg and Olivier Lessmann. The local order property in non elementary classes, Arch Math Logic 39 (2000) 6, 439-457. The published paper from Springer's site. ps , dvi , pdf .
    
    
19. Rami Grossberg, José Iovino and Olivier Lessmann. A primer of simple theories, Archive of Math Logic, 41, (2002), 541-580. The published paper from Springer's site. ps , dvi , pdf .
    
    
20. Rami Grossberg and Olivier Lessmann. Shelah's stability spectrum and homogeneity spectrum in finite diagrams, Arch. Math. Logic 41 (2002) 1, 1-31. The published paper from Springer's site. ps , dvi , pdf .
    
    
21. 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 .
    
    
22. Rami Grossberg, Alexei Kolesnikov, Ivan Tomasic and Monica VanDieren. The equality S1=D=R, Mathematical Logic Quaterly, 49, (2003), 115-128. pdf file from the publisher Wiley InterScience .
    
    
23. Rami Grossberg and Olivier Lessmann. Abstract decomposition theorem and applications, Contemporary Mathematics, Vol 380, (2005), AMS, pp. 73--108. ps , pdf .
    
    
24. 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 .
    
    
25. 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 .
    
    
26. 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 .
    
    
27. Rami Grossberg and Alexei Kolesnikov. Excellent Abstract Elementary Classes are Tame. 26 pages, last updated 9/9/05. ps , pdf . submitted.
    
    
28. Rami Grossberg, Monica VanDieren and Andrés Villaveces. Uniqueness of Limit Models in Classes with Amalgamation. 20 pages, last updated 1/10/07 pdf . submitted.
    
    

• A course in Model Theory I: Introduction, 508 pages.
• A course in Model Theory II: Classification Theory, 249 pages.
• A course in Model Theory III: Classification Theory for Abstract Elementary Classes, 223 pages.

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.
Currently I am organizing a Model Theory Seminar.

• A workshop dedicated to Classification Theory for Abstract Elementary Classes to be held at the American Institute of Mathematics July 17 to July 21 2006. More information,
• A Condensed biography of Julia Robinson,
• Planned pure and applied logic courses for spring 2001,
• The CMU pure and applied logic home page,
• The CMU math dept,
• American Mathematical Society,
• Association for Symbolic Logic,
• Mathematics web sites around the world,
• Mathematical Logic around the world,
• Another list of logic and mathematics,
• Tom Scanlon's seminars at Berkeley,
• Web pages of some set-theorists,
• The Los Alamos E-prints server,
• MSRI lectures on video,
• Saharon Shelah's papers.
• National Research Council's ranking of PhD programs, last time updated 1994,
• US News Ranking of PhD programs, last time updated 1998,
• Pictures I have taken in Bogota during BMMT 2003 , can be found here.

• Address and office hours,
• Directions to my house,
• Academic Ancestors,
• Some pictures.

Join the Blue Ribbon Online Free Speech Campaign!

Rami@cmu.edu