Anand Pillay

Anand Pillay

William J. Hank Family Professor of Mathematics

B.A. Oxford in Mathematics and Philosophy, 1973

M.Sc., London, in Pure Mathematics, 1974

Ph.D., London, Mathematics, 1978

 

Email: apillay@nd.edu

Office: 291 Hurley Bldg

Phone: (574) 631-8847

Fax: (574) 631-6579

 

Mailing Address:
255 Hurley Bldg
Notre Dame, IN  46556-4618

 

For additional information see Anand Pillay’s Personal Page.

Research Interests

I work in model theory (a branch of mathematical logic). I am  interested in "pure" model theory where the classification of first order theories is the central theme, as well as the connections between and interactions of model theory with other areas of mathematics: algebra (especially differential algebra), geometry, number theory.
 
Groups of one form or the other are a common theme throughout my research.
 
Selected Publications
  • E. Hrushovski, Y. Peterzil and A. Pillay, Groups, measures and the NIP, Journal Amer. Math. Soc. 21 (2008), 563-595.
  • D. Bertrand and A. Pillay,  A Lindemann-Weierstrass theorem for semiabelian varieties over function fields, Journal Amer. Math. Soc., 23 (2010), 491-453.
  • E. Hrushovski and A. Pillay, On NIP and invariant measures, Journal of European Math. Society, 13 (2011), 1005-1061.
  • A. Conversano and A. Pillay,  Connected components of definable groups and o-minimality I, Advances in Math, 231 (2012), 605-623.
  • J. Nagloo and A. Pillay, On the algebraic independence of generic Painleve transcendents, to appear in Compositio Math.

 

Please direct questions and comments to: apillay@nd.edu