Gregory Cherlin, Publication List; less recent
Last first.
 Recent publications  In preparation
 Older publications:
 99.
Small representations of SL2 in the finite Morley rank category,
with A. Deloro.
 J. Symbolic Logic 77 (2012), 919933
 98.
Two problems on homogeneous structures, revisited
 in Model Theoretic Methods in Finite Combinatorics,
M. Grohe and J.A. Makowsky eds.,
 Contemporary Mathematics, 558, American Mathematical Society,
2011
 97.
Forbidden Substructures and Combinatorial Dichotomies: WQO and
Universality
 Discrete Mathematics 311 (2011), 15431584
 DOI 10.1016/j.disc.2011.03.014
 Additional Reference: Jens Gustedt. Finiteness theorems for
graphs and posets obtained by compositions, Order 15
(1998/99), 203220.
 96.
Semisimple torsion in groups of finite Morley rank, with J. Burdges
 J. Math. Logic 9 (2009), 183200.
 95.
A generation theorem for groups of finite Morley rank,
with J. Burdges
 M. Math. Log. 8 (2008), 163–195.
 94.
Simple Groups of Finite Morley Rank of Even Type
 with T. Altinel and A. Borovik, Mathematical Surveys
and Monographs, vol. 145,
American Mathematical Society, Providence, RI, 2008
xx+556 pp.
 93.
Genericity, Generosity, and Tori,

Journal of the Inst. of Math. Jussieu, 7 (2008), 705722.
 92.
Permutation groups of finite Morley rank,
with A. Borovik
 pp. 59124, in Model Theory with Applications to Algebra and
Analysis, Vol. 2,
Zoé Chatzidakis, Dugald Macpherson, Anand Pillay, and Alex Wilkie,
eds.,
London Mathematical Society Lecture Note Series, Cambridge University
Press, 2008.
 91.
Simple groups of finite Morley rank of unipotent type,
with A. Borovik and J. Burdges.
 pp. 4762, in Algebra, Logic, Set Theory. Festschrift fuer Ulrich
Felgner zum 65. Geburtstag, B. Loewe ed.,
Studies in Logic, College Publications at Kings College London, 2007.
 90.
Involutions in groups of finite Morley rank of degenerate type,
with J. Burdges and A. Borovik
 Selecta Mathematica, 13 (2007) 122.
 89.
Universal graphs with a forbidden subtree,
with S. Shelah
 J. Comb. Theory, Series B, 97 (2007), 293333.
 88.
A generic identification theorem for L*groups of finite Morley rank
with A. Berkman, A. Borovik, and J. Burdges

J. Algebra, 319 (2008), 5076.
 87.
Universal graphs with a forbidden nearpath or 2bouquet, with L. Tallgren
 J. Graph Theory,
56 (2007), 4163.
copyright Wiley Periodicals
 86.
A note on orthogonality and stable embeddedness, with E. Hrushovski and
M. Djordjevic
 J. Symbolic Logic 70 (2005), 13591364
 85.
Minimal connected simple groups of finite Morley rank with strongly
embedded subgroups, with J. Burdges and E. Jaligot
 J. Algebra 314 (2007), 581612
 84.
Good tori in groups of finite Morley rank
 J. Group Theory 8 (2005), 613621
 83.
Categoricity in power n+2,
 Discrete Mathematics 291 (2005), 5571
 82.
Locally finite generalized quadrangles with at most 5 points
per line,
 Discrete Mathematics 291 (2005), 7379.
 81.
Tame minimal simple groups of finite Morley rank,
with E. Jaligot.
 J. Algebra 276 (2004), 1379

 80.
Limoncello, with T. Altinel.
 J. Algebra, 291 (2005), 371413.
 79.
Simple L*groups of even type with weakly embedded subgroups,
with T. Altinel.
 J. Algebra, 286 (2005), 76106
 78.
Simple groups of finite Morley rank, 2002
 in Proceedings of Euroconference on Model Theory and its
Applications, Belair, Chatzidakis, d'Aquino, Marker, Otero, Point,
Wilkie, eds.,
Quaderni di Matematica 11 (2005), 4172.
 77.
Simple L*groups of even type with strongly embedded subgroups,
with T. Altinel.
 J. Algebra 272 (2004), 95127.
 76.
Classification of simple K*groups of finite Morley rank
and of even type: geometric aspects, with T. Altinel and A. Borovik
 Groups, combinatorics, and geometry (Durham 2001), 112,
World Sci. Publishing, River Edge NJ, 2003.
 75.
Parabolic 2local subgroups in groups
of finite Morley rank of even type,
with T. Altinel,
A. Borovik, and L.J. Corredor
 J. Algebra 269 (2003), 250262
 74.
On groups of Finite Morley Rank of Even Type, with T. Altinel,
 J. Algebra 264 (2003), 155185
 73.
BorovikPoizat rank and stability, with J. Burdges,
 J. Symbolic Logic, 67 (2002), 15701578.
 72.
Pushing up and C(G,T) in groups of
finite Morley rank of even type
 With T. Altinel and A. Borovik.
 J. Algebra 247 (2002), 541576.
 71.
Two cardinal properties of
homogeneous graphs, with S. Thomas.
 J. Symbolic Logic, 67 (2002), 217220

 70. Finite structures with few types, with E. Hrushovski,
Annals of Mathematics Studies, PUP, Princeton, 193 pp., January 2003.

Full version in
pdf
 In 7 parts, dvi (older)
 Part 1
with title page (158 K)
 Part 2
(77K)

Part 3
(71K)
 Part 4
(111K)
 Part 5
(127K)
 Part 6
(111K)
 Part 7
(61K) (with references and index)

 Additional notes (2/2004)

 69.
Minimal antichains in wellfounded quasiorders with an application
to tournaments, with B. Latka
 J. Combinatorial Theory Series B.
80 (2000),
258276.
`
 68. Forbidden subgraphs and forbidden substructures,
with N. Shi, J. Symbolic Logic 66 (2001), 13421352.
 67.
Groups of finite Morley rank and even type with strongly closed abelian
subgroups, with T. Altinel and A. Borovik
 J. Algebra
232
(2000), 420461.
 66.
The classification of finite homogeneous groups (with U. Felgner)

J. London Math. Society 62
(2000), 784794.
 65.
Sporadic homogeneous structures
 The Gelfand Mathematical Seminars, 19961999, pp. 1548,
Birkhäuser, 2000.
 64.
Infinite imprimitive homogeneous 3edgecolored complete graphs,
J. Symbolic Logic 64
(1999), 159179.
 63.
Central extensions of algebraic groups of finite Morley rank,
with T. Altinel, JSL 64 (1999), 6874.
 62. A Hall theorem for
omegastable groups, with T. Altinel,
L.J. Corredor, and A. Nesin, J. London Math. Society, 13 pp.
J. London Math. Soc.
57 (1998), 385397.
 61.
On groups of finite Morley rank with weakly embedded subgroups,
with T. Altinel and A. Borovik
 J. Algebra 211 (1999), 409456. (180K)

 60. Universal graphs with forbidden subgraphs and algebraic closure,
with S. Shelah and N. Shi
 Advances in Applied Mathematics
22
(1999), 454491.
 59.
Large finite structures with few types
 In Proceedings of a NATO Instructional Conference, Toronto, 1996.
Lachlan et al, eds., in B. T. Hart et al., Algebraic Model Theory,
53105, Kluwer Academic Publishers, 1997.
 58. Groups of mixed type, with T. Altinel and A. Borovik,
 J. Algebra 192 (1997), 524571.
 57. Graphs omitting a bushy tree, with N. Shi and
L. Tallgren
 J. Graph Theory 26 (1997), 203210.
 56. Graphs omitting sums of complete graphs, with N. Shi,
J. Graph Theory 24 (1997), 237247.
 55. Graphs omitting a finite set of cycles, with N. Shi,
J. Graph Theory 21 (1997), 351355. MR 96k:05106.
 54. Arities of permutation groups: wreath products and ksets,
with G. Martin and D. Saracino,
J. Combinatorial Theory Series A 74 (1996), 249286.
MR 97c:20001.
 53. An integer lattice arising in the model theory of wreath products,
with Gary Martin, in Logical Methods: In Honor of Anil Nerode's
Sixtieth Birthday, Progress in Computer Science
12, J. N. Crossley
et al, eds., Birkhäuser, Boston, 1993, 178193. MR 95i:03071.
 52. There is no universal countable pentagonfree graph, with P. Komjath,
J. Graph Theory 18 (1994), 337341. MR 95c:05072.
 51. Homogeneous directed graphs, in Finite and infinite
combinatorics in sets and logic (Banff, 1991), NATO ASI Ser. C
Math. Phys. Sci., 411, Kluwer, Dordrecht, 1993. MR 94m:05092.

 50.
The Classification of Countable Homogeneous Directed Graphs and
Countable Homogeneous nTournaments
AMS Memoir 131 Number 621, January 1998, xi+161pp.
AMS, Rhode Island.
 49. On homogeneous nilpotent groups and rings, with D. Saracino and C. Wood,
 Proceedings American Math. Society
119 (1993), 12891306. MR 94a:03059.
 48. Combinatorial problems connected with finite homogeneity,
in Proceedings of the Novosibirsk
Conference on Model Theory and Algebra (1989),
Contemporary Mathematics
131 (1992), 330. MR 93m:03054.
 47. Sharply transitive linear groups over algebraically closed
fields,
(with T. Grundhofer, A.
Nesin, and H. Völklein),
Proceedings A.M.S. 111
(1991), 541550. MR 91f:20002.
 46. Homogeneous solvable groups (with U. Felgner),
J. London Math. Soc
44 (1991), 102120. MR 92m:20027.
 45. Homogeneous tournaments revisited,
Geometriae Dedicatae
26 (1988), 231240.
 44. Orthogonal types in separably closed fields (with Z.
Chatzidakis, S. Shelah, G. Srour, C. Wood), in Classification
Theory, J. Baldwin ed., LNM 1292 (1987), 7288.
 43. Homogeneous directed graphs I. The imprimitive case, Logic Colloquium
1985, Lolli et al. eds., 1987, 6788.
Revised 2016
 42. Stable finitely homogeneous structures (with A. Lachlan),
Transactions American Mathematical Society 296 (1986), 815850.
 41. Some undecidable theories over p.a.c. fields (with M. Jarden),
Annals of Pure and Applied Logic 30 (1986), 137163.

 40. _{0}categorical, _{0}stable structures (with L.
Harrington and A. Lachlan), Annals of Pure and Applied Logic 28 (1985), 103135.
 39. On extensions of Presburger arithmetic, with Francoise Point,
in Proceedings of the fourth Easter conference on model theory,
(Gross Koeris, 1986), 1734, Seminarberichte, 86,
Humboldt Univ., Berlin, 1986. 03B25 (03C10 03F30) MR 87k:03002.
 38. Decidable theories of pseudoalgebraically closed fields,
in Models and Sets, Müller and Richter eds., LNM
1103, Springer,
NY, 1985, 83101.
 37. Aspects of _{0}categorical theories,
Proceedings
of the Seventh ICLMPS, Salzburg, 1983, NorthHolland, Amsterdam, 1986,
99114.
 36. Convexity properties and algebraic closure operators (with H.
Volger), Logic Colloquium 1983, Müller and Richter eds., Lecture Notes Math.
1103 (1985), 113146.
 35. Real closed rings II. Model theory (with M. Dickmann), Annals of Pure and Applied Logic
25 (1983), 213231.
 34. Real closed rings I. Residue rings of rings of continuous
functions (with M. Dickmann), Fundamenta Mathematicae 126 (1986), 213231.
 33. Totally categorical theories, in Proceedings of the ICM
1983, PWN, Warsaw, 1984, pp. 301306.
 32. Definability in power series rings of nonzero characteristic,
Logic Colloquium 1983, Müller and Richter eds., Lecture Notes Math. 1103 (1985), 102112.
 31. Homogeneous finite groups (with U. Felgner), Logic Colloquium 1980, van
Dalen et al. eds., 1982, 6981.

 30. Undecidability of rational function fields in characteristic
p, Logic Colloquium 1982, Lolli et al. eds., 1984, 8595.
 29. Decidability and undecidabilty theorems for p.a.c. fields,
(with Macintyre, van den Dries), Bulletin of the AMS
4
(1981), 101104.
 28. Note on a nullstellensatz (with Max Dickmann), in
Model theory and arithmetic (Paris, 19791980), pp. 111114,
Lecture Notes in Math., 890, Springer, BerlinNew York, 1981.
MR 83h:12032.
 27. QE rings in characteristic p^{n} (with C. Berline), J. Symbolic Logic 48
(1983), 140162.
 26. QE nilrings of prime characteristic (with C. Berline),
Bull. Acad. Math. Belg. Ser. B 33
(1981), 317.
 25. QE rings in characteristic p (with C. Berline), in
Model Theory Year, M. Lerman et al. eds.,
Lecture Notes Math. 859 (1980), 1631.
 24. Rings of continuous functions: decision problems, in Model
Theory of Algebra and Arithmetic, L. Pacholski et al. eds.,
Lecture Notes Math. 834
(1980), 4492.
 23. Locally pure topological abelian groups: Elementary invariants
(with P. Schmitt), Annals of Pure and Applied Logic 24 (1983), 4985.
 22. Undecidable L^{t} theories of topological abelian groups
(with P. Schmitt), J. Symbolic Logic 46 (1981), 761772.
 21. Anneaux réels clos et anneaux de fonctions continues (with M.
Dickmann), Contes Rendus Acad. Sciences 290 (1980), 14.

 20. Superstable fields and groups (with S. Shelah), Annals of Mathematical Logic 18 (1980),
227270.
 19. Elimination des quantificateurs dans les faisceaux (with M.
Boffa), Contes Rendus Acad. Sciences 290 (1980), 355357.
 18. Stable algebraic theories, Logic Colloquium 1978, Boffa et al. eds., 1979, 5374.
 17. _{0}categorical nilrings II.
J. Symbolic Logic 45
(1980), 291301.
 16. On
_{0}categorical
nilrings,
Algebra Universalis 10
(1980), 2730.
 15. Superstable division rings, Logic Colloquium 1977, Macintyre et al. eds.,
1978, 99111.
 14. Groups of small Morley rank, Annals of Mathematical Logic 17 (1979), 128.
 13. Totally categorical groups (with W. Baur and A. Macintyre),
J. Algebra 57 (1979), 407440.
 12. On _{0}categorical abelianbyfinite groups,
(with J. Rosenstein), J. Algebra 53 (1978), 188226.
 11. Amalgamation bases for commutative rings, Israel J. Mathematics 25 (1976), 8796.

 10. Model Theoretic Algebra: Selected
Topics,
Lecture Notes Math. 521 (1975).
 9. Lindenbaum algebras and model companions,
Fundamenta Mathematicae
104(1979), 213219.
 8. Categoricity and stability of commutative rings (with J.
Reineke), Annals of Mathematical Logic 10 (1976), 367399.
 7. Ideals in some nonstandard dedekind rings, in Proceedings
of the Louvain Model Theory Colloquium (1975),
P. Henrard ed., Editions
Paul Castella, 1661 Albeuve, Switzerland, 1977, 28 pp.
 6. Model theoretic algebra, J. Symbolic Logic 41 (1976), 537545.
 5. Ideals of integers in nonstandard models of arithmetic, in
Model Theory and Algebra, Weispfenning and Saracino eds.,
Lecture Notes Math. 498
(1975), pp. 6090.
 4. Second order forcing, existentially complete structures, and
large cardinals
 Fundamenta Mathematicae 87
(1975), 141160.
 3. Algebraically closed commutative rings, J. Symbolic Logic
38 (1973), 493499.
 2. The model companion of a class of structures
 J. Symbolic Logic
37
(1972), 546556.
 1.
Ultrafilters and ultraproducts in nonstandard analysis,
(with J. Hirschfeld)
 In Contributions to Nonstandard
Analysis, Luxemburg and Robinson, eds.,
NorthHolland 1972, 261279.
Home page
© G. Cherlin
This material is based in part upon work supported by the NSF under
Grants No. DMS9803417, DMS0100794, and DMS0600940. Any opinions, findings, conclusions, or
recommendations expressed herein are those of the authors and do not
necessarily reflect the views of the National Science Foundaion.