OVERVIEW
ROLES AT IMM
2024
IMM Local Faculty
Numerical Linear Algebra and Analysis
Course
Pakistan
Fall
2024
IMM Seminar Speaker
Seminar: Generators Trends in Powers of Monomial Ideals
Event
Pakistan
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ABOUT ME
What are your current areas of research and what excites you most about these areas?
My current research focuses on Commutative Algebra, with a special emphasis on some combinatorial aspects. Specifically, I study the asymptotic behavior of various invariants associated with monomial ideals. This includes investigating the minimal number of generators of powers of monomial ideals, the saturation number of these ideals and their powers, and the Betti numbers of monomial ideals and their powers. I am also exploring the fiber cone of monomial ideals. What excites me most about this area is uncovering the intricate patterns and relationships that emerge in the behavior of these invariants, often revealing deeper structural properties of the ideals themselves.
CURRICULUM
from 2023 to Present
Assistant Professor, Lahore University of Management Sciences (LUMS)
Pakistan
from 2019 to Present
IMM International Faculty, International Mathematics Master (IMM)
International
MORE INFORMATION
What inspired you to teach for IMM? How have you found your experience at IMM?
I was inspired to teach at IMM because of its unique vision to promote mathematical excellence in developing countries and its commitment to providing high-quality education through an international faculty. The opportunity to help build capacity in mathematics and mentor gifted students in a resource-constrained environment is particularly compelling. My experience at LUMS, in collaboration with IMM, has been invaluable. I have enjoyed the vibrant campus atmosphere, the dedication of the students, and the collaborative spirit among the faculty members. IMM's innovative approach to education and strong sense of community support make it a truly enriching experience.