Jose Iovino

My research interests are in mathematical logic. My field within logic is model theory, which is the study of mathematical structures from the perspective of logic.

PROFESSIONAL PREPARATION

PhD, University of Illinois at Urbana-Champaign, Urbana, Illinois, 1994

Undergraduate: Universidad de los Andes, Bogotá, Colombia, 1988

APPOINTMENTS

CARNEGIE MELLON UNIVERSITY, Zeev Nehari Visiting Assistant Professor, Pittsburgh, Pennsylvania, 1994-1997

CARNEGIE MELLON UNIVERSITY, Visiting Assistant Professor, Pittsburgh, Pennsylvania, 1997-1998

UNIVERSITY OF TORONTO, Visiting Professor, Toronto, Ontario, 1998

MCGILL UNIVERSITY, Postdoctoral Fellow, Montréal, Québec, 1999

UNIVERSITY OF TEXAS AT SAN ANTONIO, Assistant Professor, San Antonio, Texas, 2000

UNIVERSITY OF TEXAS AT SAN ANTONIO, Associate Professor, San Antonio, Texas, 2004

PS J. Iovino, The Morley rank of a Banach space. Journal of Symbolic Logic, 61 (1996), 928-941.

PS J. Iovino, Definability in functional analysis. Journal of Symbolic Logic 62 (1997), 493-505

PDF J. Iovino, Types on stable Banach spaces. Fundamenta Mathematicae, 159 (1998), 85-95.

PDF J. Iovino, Stable Banach spaces and Banach space structures, I: Fundamentals. In Models, Algebras, and Proofs, (X. Caicedo, C. Montenegro, Ed.), Marcel Dekker, New York, 1999.

PDF J. Iovino, Stable Banach spaces and Banach space structures, II: Forking and compact topologies. In Models, Algebras, and Proofs, (X. Caicedo, C. Montenegro, Ed.), Marcel Dekker, New York, 1999.

PDF J. Iovino, Stable models and reflexive Banach spaces. Journal of Symbolic Logic, 64 (1999), 1595-1600. (Note: the published version is shorter.)

PDF J. Iovino, On the maximality of logics with approximations. Journal of Symbolic Logic, 66 (2001), 1909-1918.

R. Grossberg, J. Iovino, and O. Lessmann, A primer of simple theories. Archive for Mathematical Logic, 41 (2002) 541-580. (Reprint can be downloaded from the Springer-Verlag LINK web site.)

PDF J. Iovino, Definable types over Banach spaces. Notre Dame Journal of Formal Logic, 46 (2005) 19-50 .

PDF J. Iovino, Definability, semidefinability, and asymptotic structure in analysis. Contemporary Mathematics, American Mathematical Society, 380:167--202 (2005), Adreas Blass, Yi Zhang, ed.

PDF S. Deacon, E. Dueñez, and J. Iovino, A threshold cryptosystem based on residue rings. Journal of Discrete Mathematical Sciences and Cryptography, 10:559-571 (2007).

PDF I. Ben Yaacov and J. Iovino, Model theoretic forcing in analysis. Annals of Pure and Applied Logic, to appear.

PDF J. Iovino, Indiscernible sequences in Banach space geometry. Preprint.

ANALYSIS AND LOGIC:

C. W. Henson and J. Iovino, Ultraproducts in Analysis. Part I of the three-part book Analysis and Logic, by C. W. Henson, J. Iovino, A. S. Kechris, and E. W. Odell, London Mathematical Society Lecture Note Series, Cambridge University Press, 2003. (ISBN-10: 0521648610 | ISBN-13: 9780521648615) A table of contents and other information about the book can be found on the Cambridge University Press web site by following this link.

“One does not need to be a specialist in analysis to find this book a worthy item in the library.” (Newsletter of the European Mathematical Society. Full review.)

“Jedem Mathematiker kann wenigstens ein Schmökern in diesem sehr attraktiven Band empfohlen werden.” (Internationale Mathematische Nachrichten. Full review.)

Cambridge University Press Maths Bestsellers list.

MONOGRAPHS:

PDF J. Iovino, Applications of Model Theory to Functional Analysis This is an expansion of the paper Indiscernible sequences in Banach space geometry (see above), and was prepared to be used as textbook for the minicourse Ultraproductos en Análisis at the II Escuela de Matemáticas de América Latina y el Caribe and the XV Escuela Venezolana de Matemáticas, September 8-14, 2002, Mérida, Venezuela. ISBN 980-261-069-0.

iovino at math.utsa.edu