IIT Hyderabad
Studied Ricci solitons and developed experience with questions in Riemannian geometry.
HarikrishnanS
Research experience
IISER Thiruvananthapuram
Explored the Darboux and Moser theorems, Lagrangian and contact geometry, and Hamiltonian systems, with related study of moment maps, Noether’s principle, Poisson geometry, and introductory several complex variables.
Applied the Master Stability Function approach to examine synchronization in coupled dynamical networks.
IIT Madras
Applied algebraic topology and graph theory in the development of a materials-science machine-learning model. Publication.
CUSAT
Studied directed graphs, connectivity, trees, independent sets, matchings, Eulerian and Hamiltonian graphs, coloring, and planarity, emphasizing proofs and structural properties.
IISER Thiruvananthapuram
Examined constructions of the real numbers using Dedekind cuts and Cauchy sequences, along with compactness, countability, and perfectness in classical fractal sets.
Education
BS–MS Dual Degree in Mathematics, CGPA: 8.53/10
Relevant Coursework
- Algebraic Topology
- Analysis on Manifolds
- Complex Analysis
- Differential Geometry
- Fourier Analysis
- Functional Analysis
- General Topology
- Hyperbolic Geometry
- Measure Theory
- Partial Differential Equations
Recent posts
All postsReynolds Transport Theorem (RTT): A Fundamental Relation Between System and Control Volume Analyses
The Reynolds Transport Theorem is a foundational principle in fluid mechanics and thermodynamics that provides a bridge between the Lagrangian (system) and Eulerian (control …
Read articleReinhardt Domains Examples and Counter Examples
In the realm of complex analysis, the study of domains within complex spaces is fundamental to understanding the behavior of holomorphic functions. Complex numbers, which can be …
Read articleMaster Stability Function
The master stability function is a simple concept with a wide range of applications, primarily in determining the stability of the synchronised state of coupled dynamical systems. …
Read article