Nonlinear dynamics and chaos · Dynamical systems · Non-Euclidean geometry · Mathematical finance
Publications
Journal Articles
- Quantum three-rotor problem in the identity representation, G. S. Krishnaswami and H. Senapati, Phys. Rev. E, 111 (1), 014221 (2025). [DOI]
- Ergodicity, mixing and recurrence in the three rotor problem, G. S. Krishnaswami and H. Senapati, Chaos 30 (4), 043112 (2020) (Editor's pick). [DOI]
- Classical three rotor problem: periodic solutions, stability and chaos, G. S. Krishnaswami and H. Senapati, Chaos 29 (12), 123121 (2019) (Editor's pick, Featured article). [DOI]
- Curvature and geodesic instabilities in a geometrical approach to the planar three-body problem, G. S. Krishnaswami and H. Senapati, J. Math. Phys. 57, 102901 (2016) (Featured Article). [DOI]
Expository Articles
- An introduction to the classical three-body problem: From periodic solutions to instabilities and chaos, G. S. Krishnaswami and H. Senapati, Resonance 24, 87–114 (2019). [DOI]
Book Chapters
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Three chapters in Eighteen Essays in Non-Euclidean Geometry,
Eds. V. Alberge and A. Papadopoulos, European Mathematical Society Publishing House, Zurich (2019):
[DOI]
- On a theorem of Lambert: Medians in spherical and hyperbolic geometries, pp. 57–65.
- Inscribing a triangle in a circle in spherical geometry, pp. 67–79.
- Monotonicity in spherical and hyperbolic triangles, pp. 81–91.
Talks
- RTQF 2026 (IISc Bangalore): A new approach for the pricing of share buyback contracts (Feb 2026).
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Invited talks on quantitative finance:
Introduction to quantitative finance: theory, pricing, and career opportunities, and related topics:
- IIT Bombay (Mar 2026)
- IIT Gandhinagar (Jan 2026)
- Erdős Institute (Sep 2025)
- IMSc (Aug 2025)
- IISc Bangalore (Mar 2025) (video)
- TIFR Mumbai (Jan 2024)
- Conference on Nonlinear Systems and Dynamics (CNSD): Poster presentation on Ergodicity, mixing and recurrence in the classical three rotor problem at IIT Kanpur (Dec 2019) [Best poster presentation award].
- IPA Colloquium: Instabilities and chaos in the three rotor problem at BHU Varanasi (Dec 2019).
- CMI Seminars: Lectures on non-linear time series analysis (Sep 2019) and periodic orbits in the classical three-rotor problem (Jan 2019).