I work as a researcher in the broad discipline of dynamical systems in continuous time. During my PhD, I studied the dynamical properties of differential equation systems that switch between various modes of operation. In particular, I studied the stability of these systems, which is interpreted as the ability of the system to resist change. These systems are significant because they are a mathematical model for biological systems, chemical reactions, and power converters.
I am currently investigating the almost global stability of oscillatory systems on hypertorus and hypercylinders, to obtain Semidefinite Programming Certificates for both. I am also acquainting myself with Machine Learning and Quantum computing to explore their intersections with my current area of interest.
"You cannot direct the wind, but you can adjust the sails."
- probably some control theorist at heart
Kadir Has University, Istanbul, Turkey
Postdoctoral Researcher
2022 - 2023
IISER Bhopal, India
Research Associate
Teaching Assistant duties:
Calculus of one variable (Sem 1, 2022-23)
General Topology (Sem 2, 2022-23)
IISER Bhopal, India
Integrated PhD (MS+PhD)
Thesis Title: Stabilizing Bimodal Planar Linear Switched Systems
Thesis Supervisor: Nikita Agarwal
Thesis defense: 27-July-2022
Degree awarded: 08-July-2023
Teaching Assistant duties:
Calculus of one variable (Sem 1, 2018-19)
Linear Algebra (Sem 2, 2018-19)
Introduction to Groups and Symmetry (Sem 1, 2019-20 and Sem 1, 2020-21)
Probability and Statistics (Sem 2, 2019-20 and Sem 2, 2020-21)
2011-2014
B.Sc. Mathematics (Hons.)
Executive in Mathematics Committee (2013-14)
Awards and academic achievements
Qualified CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship (JRF)
December 2017