Anand Pillay

Anand Pillay is the William J. Hank Family Professor of Mathematics at the University of Notre Dame's Department of Mathematics within the College of Science. He holds an Emeritus title from the Swanlund Chair at the University of Illinois (since 2006). His education includes a B.A. in Mathematics and Philosophy from Oxford (1973), an M.Sc. in Pure Mathematics from London (1974), and a Ph.D. in Mathematics from London (1978).

Pillay's research focuses on Model Theory, particularly stability theory and its applications to algebra, geometry, number theory, and combinatorics. He has contributed significantly to topics like definable groups, differential algebraic groups, and VC-dimension in combinatorics. His work bridges pure logic with applied areas such as differential equations and algebraic geometry.

• Key Research Themes: Model-theoretic classification, applications of stability theory, differential Galois theory, and combinatorial regularity.
• Recent Trends: Explores pseudofinite groups, VC-dimension in group structures, and parameter identifiability in ODE models.

He has received prestigious awards like the Humboldt Research Prize (2001) and is an AMS Fellow (2012). Pillay has authored over 200 publications and supervised numerous graduate students, including current advisees Nicolas Chavarria Gomez and Leo Jimenez. His editorial roles include co-Editor-in-Chief of the Notre Dame Journal of Formal Logic and Associate Editor of the Journal of the American Mathematical Society.

Pillay's academic leadership includes organizing major international conferences and programs, such as the MSRI Model Theory of Fields semester (1998) and the Newton Institute Model Theory and Applications program (2005). His teaching spans advanced courses in model theory and logic, alongside undergraduate mathematics.

His research has been supported by grants from the NSF, EPSRC, and Marie Curie Excellence Chair programs. Pillay's work continues to impact foundational mathematics and interdisciplinary applications.