Anand Pillay

William J. Hank Family Professor
of Mathematics



Department of Mathematics
University of Notre Dame
281 Hurley Hall
Notre Dame, IN 46556

Telephone: (574) 631-8847
email: apillay@nd.edu

I have been Swanlund Chair Emeritus at University of Illinois since 2006.



Professor Anand Pillay



Research
Model theory, in and for itself, as well as applications  (algebra, geometry, number theory,..).

Current postgraduate students
Ningyuan Yao (visiting scholar atLeeds and Notre Dame, from Sun Yat Sen University, China)
, Gregory Cousins (Notre Dame), Mike Haskell (Notre Dame), Somayeh Vojdani (Notre Dame).

Recent graduate students from Leeds include Rizos Sklinos, now at Munster, Charlotte Kestner and Davide Penazzi, both now at University of Central Lancashire, Gareth Boxall, now at Stellenbosch, South Africa, and Joel (Ronnie) Nagloo, who will take up a postdoc at CUNY, New York.

Postdocs

Recent postdocs at Leeds include Jakub Gismatullin (Wroclaw) and Davide Penazzi.


Teaching

Autumn 2014, Topics in Mathematical Logic ( Around the model theory of pseudofinite structures). MWF, 9.25 am.

Seminars at Notre Dame.

Model Theory seminar:

Logic seminar:




Curriculum Vitae
Publications

Lecture Notes from a sequence of courses at Illinois 2002-2003:
Model Theory
Stability Theory
Applied Stability Theory

Some recent preprints, notes, slides of talks, and other things. (Please contact me directly if you want electronic files of other papers from my complete list of publications.)

Lecture notes on strongly minimal sets with a generic automorphism (graduate course in UIUC, 1999)

Logarithmic derivatives on nonconstant commutative algebraic groups. Slides from talk on Modnet meeting, Barcelona, November 2008.

Compact spaces, definability. Slides from Tarski lectures, Berkeley, April 2009.


Measures in model theory. Slides from talk in Logic and Set theory meeting, Chennai, Aug. 2010

Model Theory

On the isotriviality of projective iterative D-varieties (with P. Kowalski)

Connected components of groups and o-minimality I (with A. Conversano)

Connected components of groups and o-minimality II (with A. Conversano)

A note on generically stable measures and fsg groups (with E. Hrushovski and P. Simon)


Affine Nash groups (with E. Hrushovski)

Model theory, stability, and the free group, Notes from a series of 5 talks at a workshop on geometric group theory and logic, UIC, Aug. 2011


First order theories, Goedel lecture, ASL European Meeting, Barcelona 2011.

Weight and measure in NIP theories

On Levi subgroups and the Levi decomposition for groups definable in o-minimal structures (with A. Conversano)
 
On algebraic relations between solutions of a generic Painlevé equation (with Ronnie Nagloo)

Topological dynamics and definable groups

On Borel equivalence relations and Lascar strong types (with K. Krupinski and S. Solecki)

On the canonical base property (with E. Hrushovski and D. Palacin).

Some model theory of SL(2,R) (with J. Gismatullin and D. Penazzi).

On the algebraic independence of generic Painleve transcendents  (with J. Nagloo)

On groups and fields interpretable in torsion-free hyperbolic groups (with C. Perin, R. Sklinos, K, Tent)

Generic stability and stability (with H. Adler and E. Casanovas)

On compactifications and the topological dynamics of definable groups (with J. Gismatullin and D. Penazzi).

Talk at LMS prospects in Maths meeting, Manchester, Dec. 2012.

Mathematics Colloquium, Oxford, February 2013.

Relative Manin-Mumford for semiabelian surfaces (with D. Bertrand, D. Masser, U. Zannier).

External definability and groups in NIP theories (with A. Chernikov and P. Simon).

Remarks on Tao's algebraic regularity lemma (with S. Starchenko).

Some model theory of fibrations and algebraic reductions (with R. Moosa).

Nash groups, Colloquium, Waterloo, November 2013.

Universal covers of commutative finite Morley rank groups (with M. Bays, B. Hart).

On function field Mordell-Lang and Manin-Mumford (with F. Benoist and E. Bouscaren).

Semiabelian varieties over separably closed fields, maximal divisible subgroups, and exact sequences (revised, with F. Benoist and E. Bouscaren).

Generalized Bohr compactifications and model-theoretic connected components (with K. Krupinski).

Interpretations and differential Galois extensions (with M. Kamensky).

Remarks and questions on infinitesimal stabilizers.

Saturated free algebras revisited (with Rizos Sklinos).

Strongly minimal pseudofinite structures.

 

 




University of Notre Dame | Enquiries to: apillay@nd.edu | Updated: 15 January, 2014
Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556
Phone: (574) 631-8847
Fax: (574) 631-6579