3 papers
cs.LO2002
The prospects for mathematical logic in the twenty-first century
Samuel R. Buss, Alexander S. Kechris, Anand Pillay +1
The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of recursion theory, proof theory and logic f…
math.CV2000
Meromorphic Groups
Anand Pillay, Thomas Scanlon
We introduce the notion of a meromorphic group, weakening somewhat Fujiki's definition We prove that a meromorphic group is meromorphically an extension of a complex torus by a lin…
math.RA1998
Supersimple fields and division rings
Anand Pillay, Thomas Scanlon, Frank Wagner
It is proved that any supersimple field has trivial Brauer group, and more generally that any supersimple division ring is commutative. As prerequisites we prove several results ab…