MATH 87800 Home Page
When and Where
Semester: Autumn 2012
Meeting time: Th 9:30 - 11:35 am (9:30-10:30 am & 10:35-11:35 am)
Meeting place: GC 6417
Topics to be covered include basic differential algebra: differential
ideal theory, differential elimination, and differentially closed
fields; differential Galois theory and linear algebraic groups.
Solid background in graduate-level algebra.
Lecture notes are posted here.
Galois Theory of Linear Differential Equations by M. van der
Put and M. F. Singer, Springer, 2003 (QA174.2.P88 2003 at
CUNY libraries) - NO need to buy it. An online version of
this book is available here.
An Introduction to Differential Algebra by I. Kaplansky, Paris,
(QA 247.K35 at
CUNY libraries) - NO need to buy it.
Algebraic Groups and Differential Galois Theory by T. Crespo
and Z. Hajto, American Mathematical Society, 2011 - NO need to buy it.
The grade will be
given on the basis of the final exam, which consists of individual
solving of one problem of the student's choice from the fixed list
of problems. Submission of
solutions is done by