Dynamical Systems × Machine Intelligence
Structure, dynamics, and the emergence of intelligence.
I am a mathematician interested in dynamical systems and machine intelligence. I build tiny brains—not yet biological—by modelling dynamics, geometry, memory, and structure.
Principal Investigator at the DeepDynamics Lab, Department of Mathematics and Computational Sciences, IIIT Surat.
About
I am a mathematician with a keen interest in the structures of dynamical systems and the emergence of intelligence. My work at DeepDynamics focuses on symbolic systems, machine learning, geometric deep learning, and dynamical mechanisms for intelligent computation.
My research on geometric deep learning was supported by the National Post-Doctoral Fellowship from the Anusandhan National Research Foundation. Earlier, at IIT Delhi, I worked on dynamical systems and hyperbolic geometry. That work was supported by the Shyama Prasad Mukherjee Fellowship of CSIR.
I hold a doctorate in symbolic systems and a master's degree in mathematics from IIT Delhi, and a bachelor's degree in data science from IIT Madras. Having cracked IIT-JEE (now JEE Advanced) three years in a row, I spent more than a decade teaching Mathematics and Physics for IIT-JEE before research became my principal occupation—an experience that continues to shape how I think about explanation and problem solving.
Whether training agents or teaching students, I rely on the same recipe—structure, feedback, and patience—to let intelligence emerge. Outside academics, I enjoy bicycling, literature, soccer, and financial analysis.
Technical books
- Deep Learning Through the Prism of Tensors2024
- The Geometry of Intelligence: Foundations of Transformer Networks in Deep Learning2025
- Artificial Intelligence and Machine Learning2025
Fiction
Academics
- PhDSymbolic Dynamics · IIT Delhi
- MScPure Mathematics · IIT Delhi
- BSData Science · IIT Madras
- ICSESt. Joseph's Convent School
Research trajectory
Post-Doctoral Researcher & Principal Investigator · IIT Roorkee
Domain: Geometric Deep Learning, Neuro-Symbolic AI & Dynamical Systems
Mentor: Prof. R. Balasubramanian
Funding: National Post-Doctoral Fellowship, ANRF; previously NBHM Post-Doctoral Fellowship, Department of Atomic Energy.
Doctoral Researcher · IIT Delhi
Domain: Dynamical Systems & Riemannian Geometry
Advisor: Prof. A. Nagar
Funding: Shyama Prasad Mukherjee Fellowship, CSIR.
Distinctions
- All India Rank 1
- All India Rank 1
- All India Rank 1
- NBHM Master's Fellowship
- NBHM Doctoral Fellowship
- SPM Doctoral Fellowship
- NBHM Post-Doctoral Fellowship
- Academic Excellence Award
- National Post-Doctoral Fellowship
Collaboration
Open problems are more useful than generic invitations.