Paul C. Eklof Professor Emeritus Mathematics Department University of California, Irvine Irvine, CA 92697


A.B., Columbia College, New York, New York, 1964
Ph.D., Cornell University, Ithaca, New York, 1968
Logic and algebra (Model theory; module theory; applications of model theory and set theory to algebra)
Gibbs Instructor in Mathematics, Yale University, New Haven, Connecticut, 19681970
Assistant Professor of Mathematics, Stanford University, Stanford, California, 19701973
Associate Professor of Mathematics, University of California, Irvine, 19731978
Visiting Associate Professor of Mathematics, Yale University, New Haven, Connecticut, 19751976
Visiting Professor of Mathematics, Simon Fraser University, Burnaby, B.C., Jan. July 1985
Professor of Mathematics, University of California, Irvine, 19782007
Professor Emeritus of Mathematics, University of California, Irvine, 2007 
 Lecture series, NSFsupported workshop on Settheoretic methods in algebra, Baylor University, May 1990
 Logic Meeting (MAMLS), Rutgers, September 1990
 Conference on Modules and Commutative Rings, Bressanone, Italy, October 1990
 Conference on Torsion Free Abelian Groups, Cura\c{c}ao, August 1991
 Logic Meeting (MAMLS), Rutgers, Oct. 1992
 Module Theory Conference, Prague, Sept. 1993
 Abelian Groups and Modules Conference, Padova, June 1994
 Logic Meeting (MAMLS), Rutgers, Sept. 1994
 Algebra and Model Theory Conference, Dresden, June 1995
 Abelian groups and Modules Conference, Colorado Springs, August 1995
 Module Theory Conference, Prague, Sept. 1995
 Algebra Conference, Prague, Sept. 1997
 Lecture series, Euroconference “Infinite length modules'', Bielefeld, Germany Sept. 1998
 Lecture series, Euroconference “Infinite combinatorics and their impact on algebra'', Hattigen, Germany, JuneJuly, 1999
 Modules and Abelian Groups Workshop, Brixen, Italy, July 1999.
 Algebra Conference, Prague, Sept. 1999.
 Southern California Algebra Conference, UCLA, May, 2000
 Special Session on Representation Theory of Algebras, Amer. Math. Soc. Regional Meeting, Santa Barbara, March 2000
 Abelian Groups and Modules Conference, Honolulu, July 2001
 Euroconference “Algebra and discrete mathematics'', Hattigen, Germany, August 2001
 “AlgebraGeometry and Interactions'' conference, Hattingen, Germany, July 2002
 Canadian Math Society Symposium on “Model Theory and Recursion Theory'', Vancouver, Dec. 2003
 AMS Regional Meeting Special Section on “Representation Theory of Algebras'', Santa Barbara, Apr. 2004
 MAMLS Conference in honor of the 60th birthday of Saharon Shelah, Rutgers University, Oct. 2005
 Algebra Conference in honor of the 60th birthday of Luigi Salce, Padua, Italy, June 2006: “New results on Whitehead groups” Padualecture.pdf
 Second CzechCatalan Conference in Mathematics, Barcelona, Spain, September 2006: “Settheoretic methods in module theory” Barcelonalecture.pdf
 Stanford Logic Seminar, February 2009: “Some uses of set theory in algebra” stanford.pdf
 Baer modules over domains (with L. Fuchs and S. Shelah), Transactions of Amer. Math. Soc., 322 (1990), 547560.
 Almost Free Modules: Settheoretic methods, (with A. Mekler), NorthHolland Publishing Company (1990), 482 pages.
 On Whitehead Modules (with S. Shelah), J. of Algebra 142 (1991), 492510.
 A transfer theorem for nonstandard uniserials, Proceedings of Amer. Math. Soc. 114 (1992), 593600.
 Settheoretic methods: the uses of Gamma invariants, in Abelian Groups, the proceedings of the Curaçao conference on torsionfree abelian groups, Lecture Notes in Pure and Applied Math. No. 146, Marcel Dekker (1993), 143153.
 On a conjecture regarding nonstandard uniserial modules (with S. Shelah), Trans. Amer. Math. Soc., 140 (1993), 337351.
 Uniformization and the diversity of Whitehead groups (with A. Mekler and S. Shelah), Israel J. Math. 80 (1992), 301321.
 Explicitly nonstandard uniserial modules (with S. Shelah), J. Pure and Applied Algebra, 86 (1993), 3550.
 Hereditarily separable groups and monochromatic uniformization (with A. Mekler and S. Shelah), Israel J. Math., 88 (1994), 213235.
 Model theory of modules over a serial ring (with I. Herzog), Annals of Pure and App. Logic 72 (1995), 145176.
 A combinatorial principle equivalent to the existence of nonfree Whitehead groups (with S. Shelah), in Abelian Group Theory and Related Topics, Contemporary Math. v. 171 (1994), 7998.
 On invariants for w_{1}separable groups (with M. Foreman and S. Shelah), Trans. Amer. Math. Soc. 347 (1995), 43854402.
 Torsion modules, lattices and ppoints (with B. HuisgenZimmermann and S. Shelah), Bulletin of London Math. Soc. 29(1997), 547555.
 Set theory generated by abelian group theory, Bulletin of Symbolic Logic, 3 (1997), 116.
 The Kaplansky test problems for N_{1}separable groups (with S. Shelah), Proc. Amer Math. Soc. 126(1998), 19011907.
 Gamma invariants for dense lattices (with J. Trlifaj), Algebra Universalis, 40 (1998), 427445.
 Absolutely rigid systems and absolutely indecomposable groups (with S. Shelah),in Abelian Groups and Modules (ed. P. Eklof and R. Goebel), Birkhaeuser (1999), 257268. Correction
 A nonreflexive Whitehead group (with S. Shelah), J. of Pure and Applied Algebra 156 (2001), 199214.
 Modules with strange decomposition properties , in Infinite Length Modules (ed. H. Krause and C. M. Ringel), Birkhaeuser, 7587.
 How to make Ext vanish (with J. Trlifaj), Bull. London Math. Soc. 33 (2001), 4151.
 Covers induced by Ext (with J. Trlifaj), J. Algebra 231 (2000), 640651.
 Whitehead modules, invited chapter for Handbook of Algebra (ed. M. Hazewinkel), volume 3 (2003), 317341 (Elsevier)
 The structure of Ext (A,Z) and GCH: possible coMoore spaces (with S. Shelah), Math. Zeit. 239 (2002), 143157.
 Whitehead modules over large principal ideal domains (with S. Shelah), Forum Math. 14 (2002), 477482.
 The affinity of set theory and abelian group theory , Rocky Mt. J., 32 (2002), 11191134.
 Almost Free Modules: Settheoretic methods, Revised edition , NorthHolland Mathematical Library vol. 65 (2002), 597 pages. Errata, Update on open problems
 On the existence of precovers (with S. Shelah), Illinois J. Math. 47(2003), 173188.
 On the cogeneration of cotorsion pairs (with S. Shelah and J. Trlifaj), J. Algebra 277 (2004), 572578.
 Tilting cotorsion pairs (with S. Bazzoni and J. Trlifaj), Bull. London Math. Soc. 37 (2005), 683—696..
 Test groups for Whitehead groups (with L. Fuchs and S. Shelah), Rocky Mt. J. Math, to appear.Whtest.pdf
 ^{⊥}N as an abstract elementary class (with J. Baldwin and J. Trlifaj), Annals of Pure and App. Logic 149 (2007), 2539, Nperpaec.pdf
 Shelah's Singular Compactness Theorem, Publicacions Matematiques 52 (2008), 318 SingComp.pdf
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