Rankeya Datta
Department of Mathematics
University of Michigan
Email: rankeya(at)umich(dot)edu
Office: East Hall 4080
I am a PhD candidate in the Mathematics Department at the University of Michigan. My advisor is Karen E. Smith. I like working at the interface of algebraic geometry and commutative algebra.
Teaching
At the University of Michigan:
Not teaching this semester.
Papers
Notes
Notes are subject to change without notice.
 Notes on Huber rings for a learning seminar at the University of Michigan (Winter 2017). Last updated Feb 18, 2017. A new section was added on uniform Huber rings (not discussed in the lectures), following Bhargav’s discussion of uniform KBanach algebras in his course. In particular, we prove equivalence of categories results generalizing [Bha17, Thm 9.7 and Cor 9.9].
 On a vanishing result in sheaf cohomology. An example is given of a nonquasicompact scheme that violates a vanishing result in sheaf cohomology that holds for certain quasicompact spaces [Stacks Project, Tag02UX]. This example can be interpreted purely topologically (without mentioning schemes), and is incorporated in the latter form in Tag0BX0.
