Hemanth Saratchandran
School of Mathematical Sciences
Faculty of Engineering, Computer and Mathematical Sciences
I am a mathematician primarily working in the areas of low dimensional topology, geometric analysis, and spectral theory. I am particularly fond of applying techniques from the areas of geometry and spectral theory to the study of problems in topology. Most of my research has focused on understanding the topology of hyperbolic 4-manifolds, higher order geometric flows, and the study of spectral properties of geometric operators, such as Dirac type operators and Schroedinger type operators, on noncompact Riemannian manifolds.
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Appointments
Date Position Institution name 2020 Laureate Research Associate University of Adelaide 2018 - 2019 Scientific Assistant (Wissenschaftlicher Mitarbeiter, TV-L 13, full time) University of Augsburg 2015 - 2018 Postdoctoral Research Fellow Beijing International Centre for Mathematical Research -
Language Competencies
Language Competency English Can read, write, speak, understand spoken and peer review -
Education
Date Institution name Country Title 2010 - 2015 Univeristy of Oxford United Kingdom Dphil 2006 - 2009 Australian National University Australia Bachelors of Advanced Science (with Honours) -
Research Interests
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Journals
Year Citation 2021 Saratchandran, H. (2021). Essential self-adjointness of perturbed quadharmonic operators on Riemannian manifolds with an application to the separation problem. Mathematische Nachrichten, 294(5), 997-1044.
2021 Milatovic, O., & Saratchandran, H. (2021). Essential Self-Adjointness of Perturbed Biharmonic Operators via Conformally Transformed Metrics. Potential Analysis, 25 pages.
2021 Macdonald, L., Mathai, V., & Saratchandran, H. (2021). On the Chern character in Higher Twisted K-theory and spherical T-duality. Communications in Mathematical Physics, 38 pages.
2019 Saratchandran, H. (2019). Higher order Seiberg–Witten functionals and their associated gradient flows. Manuscripta Mathematica, 160(3-4), 411-481.
Scopus12019 Milatovic, O., & Saratchandran, H. (2019). Inequalities and separation for covariant Schrödinger operators. Journal of Geometry and Physics, 138, 215-222.
Scopus1 WoS12018 Saratchandran, H. (2018). Finite volume hyperbolic complements of 2-tori and Klein bottles in closed smooth simply connected 4-manifolds. New York Journal of Mathematics, 24, 443-450. 2017 Bandara, L., & Saratchandran, H. (2017). Essential self-adjointness of powers of first-order differential operators on non-compact manifolds with low-regularity metrics. Journal of Functional Analysis, 273(12), 3719-3758.
Scopus4 WoS42016 Saratchandran, H. (2016). Kirby diagrams and the Ratcliffe-Tschantz hyperbolic 4-manifolds. Topology and its Applications, 202, 301-317.
— Saratchandran, H. (n.d.). A four dimensional hyperbolic link complement in a standard $S^2 \times
S^2$.— Bandara, L., Goffeng, M., & Saratchandran, H. (n.d.). Realisations of elliptic operators on compact manifolds with boundary.
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