Professor Anand Pillay

I have moved permanently to University of Notre Dame, USA.
 
 
Swanlund Chair Emeritus, University of Illinois, 2006 - present
Marie Curie Chair
(European Union)
October 2005 - September 2008.

Mathematical Logic
Department of Pure Mathematics
University of Leeds
Leeds
LS2 9JT

Telephone: (0113) 343 5171
email: pillay @ maths.leeds.ac.uk



Professor Anand Pillay

Past, present and future events at Leeds
Model Theory Seminar
Differential Algebra Seminar
Differential Fields Meeting June 2007
Around classification theory workshop, June 2008
Algebraic theory of difference equations, May 2009
Differential and difference equations, integrable systems, model theory, September 2012


Other conferences and meetings


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

Current postgraduate students
Joel Nagloo, Alexandra Omar Aziz (defended Ph.D. in November 2012), Ningyuan Yao (visiting scholar)
 

Rizos Sklinos graduated in 2011, currently in Jerusalem, Charlotte Kestner graduated in 2012 and will be in Wroclaw for 2012-13. Davide Penazzi graduated in 2011 and is currently a postdoc at Leeds.
Gareth Boxall graduated in 2009 and is currently at Wits, S. Africa.

Current postdocs
Jakub Gismatullin  (until October 2012), Davide Penazzi

Teaching

2012-13
MATH3120-MATH5120M:  Models and Sets.
Postgraduate course, Around stable groups. 


Curriculum Vitae
Publications

Lecture Notes from a sequence of courses at Illinois and Leeds:
Model Theory
Stability Theory
Applied Stability Theory

Some recent preprints and slides of talks. (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)

Generically stable and smooth measures in NIP theories (with E. Hrushovski and P. Simon).

Generic stability, regularity and quasiminimality (with P. Tanovic).

On genericity and weight in the free group.

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

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.

On central extensions and definably compact groups in o-minimal structures (with E. Hrushovski and Y.Peterzil)

A Lindemann-Weierstrass theorem for semiabelian varieties over function fields (with D. Bertrand)

On NIP and invariant measures (with E. Hrushovski)

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

Remarks on unimodularity (with C. Kestner)

Aleph_0-categorical strongly minimal compact complex manifolds (with R. Moosa)

Group covers, o-minimality, and categoricity (with A. Berarducci and Y. Peterzil)

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)

A model-theoretic perspective on algebraic reductions of Hyperkaehler manifolds (with R. Moosa)

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.



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