Rami Grossberg
American mathematician, Israeli mathematician
Rami Grossberg's AcademicInfluence.com Rankings

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Mathematics
Rami Grossberg's Degrees
- PhD Mathematics University of California, Berkeley
- Bachelors Mathematics Tel Aviv University
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Why Is Rami Grossberg Influential?
(Suggest an Edit or Addition)According to Wikipedia, Rami Grossberg is a full professor of mathematics at Carnegie Mellon University and works in model theory. Work Grossberg's work in the past few years has revolved around the classification theory of non-elementary classes. In particular, he has provided, in joint work with Monica VanDieren, a proof of an upward "Morley's Categoricity Theorem" for Abstract Elementary Classes with the amalgamation property, that are tame. In another work with VanDieren, they also initiated the study of tame Abstract Elementary Classes. Tameness is both a crucial technical property in categoricity transfer proofs and an independent notion of interest in the area – it has been studied by Baldwin, Hyttinen, Lessmann, Kesälä, Kolesnikov, Kueker among others. Other results include a best approximation to the main gap conjecture for AECs , identifying AECs with JEP, AP, no maximal models and tameness as the uncountable analog to Fraïssé's constructions , a stability spectrum theorem and the existence of Morley sequences for those classes . In addition to this work on the Categoricity Conjecture, more recently, with Boney and Vasey, new understanding of frames in AECs and forking has been obtained.
Rami Grossberg's Published Works
Published Works
- Classification theory for abstract elementary classes (2002) (172)
- Galois-stability for Tame Abstract Elementary Classes (2005) (116)
- Categoricity from One Successor cardinal in Tame Abstract Elementary Classes (2005) (89)
- Shelah's categoricity conjecture from a successor for tame abstract elementary classes (2005) (78)
- On universal locally finite groups (1983) (47)
- Shelah's stability spectrum and homogeneity spectrum in finite diagrams (2002) (46)
- Canonical forking in AECs (2014) (45)
- Uniqueness of limit models in classes with amalgamation (2005) (37)
- A primer of simple theories (2002) (37)
- On the number of nonisomorphic models of an infinitary theory which has the infinitary order property. Part A (1986) (34)
- Forking in Short and Tame AECs (2013) (31)
- A non structure theorem for an infinitary theory which has the unsuperstability property (1986) (30)
- Infinite homogeneous bipartite graphs with unequal sides (1994) (28)
- On the structure of Extp(G, Z) (1989) (27)
- EQUIVALENT DEFINITIONS OF SUPERSTABILITY IN TAME ABSTRACT ELEMENTARY CLASSES (2015) (27)
- On chains of relatively saturated submodels of a model without the order property (1991) (23)
- Indiscernible sequences in a model which fails to have the order property (1991) (22)
- Superstability from categoricity in abstract elementary classes (2016) (19)
- $\mu$-abstract elementary classes and other generalizations (2015) (19)
- Forking in short and tame abstract elementary classes (2013) (17)
- EXCELLENT ABSTRACT ELEMENTARY CLASSES ARE TAME (2005) (17)
- Superstability in abstract elementary classes (2015) (16)
- The classification of excellent classes (1989) (15)
- µ -ABSTRACT ELEMENTARY CLASSES AND OTHER GENERALIZATIONS (2015) (12)
- Dependence relation in pregeometries (2000) (12)
- On Hanf numbers of the infinitary order property (1998) (11)
- On cardinalities in quotients of inverse limits of groups (1999) (10)
- Abstract decomposition theorem and applications (2005) (9)
- Rich models (1990) (8)
- Transfering saturation, the finite cover property, and stability (1995) (7)
- Local order property in nonelementary classes (2000) (6)
- Simple-like independence relations in abstract elementary classes (2020) (4)
- Limit Models in Classes with Amalgamation (2005) (4)
- Finite models, stability, and Ramsey's theorem (1996) (4)
- REMARKS ON LOCAL STABILITY AND THE LOCAL ORDER PROPERTY (1998) (4)
- Models with second order properties in successors of singulars (1989) (2)
- Ramsey’s theorem in stable structures (1998) (2)
- A downward Löwenheim-Skolem theorem for infinitary theories which have the unsuperstability property (1988) (2)
- Characterizations of the finite cover property and stability (1995) (1)
- Forking in pregeometries. (1998) (1)
- MORLEY SEQUENCES IN ABSTRACT ELEMENTARY CLASSES (2002) (1)
- The equality S1 = D = R (2003) (0)
- Transfering Saturation, the Finite Cover Property, And (1999) (0)
- FORKING IN PREGEOMETRIES, PART I: THE BASICS (2005) (0)
- The D-rank is equal to the R-rank (1999) (0)
- On chains of relatively saturated submodels of a stable model (1989) (0)
- Hodges Wilfrid. Building models by games . London Mathematical Society student texts, no. 2. Cambridge University Press, Cambridge etc. 1985, vi + 311 pp. (1991) (0)
- Notices (2014) (0)
- On the Structure of Ext,(G, 2) (1989) (0)
- Indiscernible sequences in stable models (1989) (0)
- Characterizing stability and superstability by unions of chains and saturated models (1989) (0)
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