Postdoctoral Fellowship – 2018
The Abdus Salam School of Mathematical Sciences (ASSMS) invites applications for the post of Postdoctoral Fellowships.
Tuesday, September 26 at 14:30 in the SMS Seminar Room
Speaker: Shamsa Kanwal (ASSMS, Lahore)
Title: On r-Standard Bases
Abstract: In this talk, we will discuss r-standard basis, which mainly involve restricted division introduced by V. Gerdt. Moreover, we will discuss standard bases for special subspaces. We use modular methods to solve problems to compute these bases and discuss various algorithms.
Thursday, September 28 at 14:30 in the SMS Seminar Room
Speaker: Yasir Mahsud (ASSMS, Lahore)
Title: Elliptic Curves
Abstract: Elliptic curves are especially important in number theory, and constitute a major area of current research; for example, they were used in the proof, by Andrew Wiles, of Fermat’s Last Theorem. They also find applications in elliptic curve cryptography (ECC) and integer factorization. During this talk, I will discuss elliptic curves over R and C along with their brief introduction over finite fields. I will also discuss their geometry over R and C. Furthermore, I will discuss what are they algebraically.
Monday at 11:00 am in the SMS Seminar Room
Speaker: Umar Shahzad
Title: Understanding Equivariant Cohomology
Abstract: Equivariant cohomology is a cohomology theory from algebraic topology which applies to topological spaces with a group action. It can be viewed as a common generalization of group cohomology and an ordinary cohomology theory. This is a series of talks on understanding equivariant cohomology and equivariantintegration. The aim of these seminars is to explain Fiber bundles, Maps between fiber bundles, Principal G-bundles, Hopf bundles, Pullback of a fiber bundle.
Wednesday and Friday at 11:00 am in the SMS Seminar Room
Speaker: Imran Anwar
Title: Graded Free Resolutions and Hilbert Functions
Abstract: The aim of these seminars is to explain the graded algebraic structures, free resolutions of graded rings and modules, Betti numbers, Hilbert Function and Hilbert series from the book of Irena Peeva with illustrating examples. It will provide a glimpse on some exciting directions in which commutative algebraists are working.
For more details about the talks please contact:
Dr. Imran Anwar
Tel: +92-42-99231859 Ext-104