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 4manifolds, 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, TVL 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 2019 Saratchandran, H. (2019). Higher order Seiberg–Witten functionals and their associated gradient flows. Manuscripta Mathematica, 160(34), 411481.
2019 Milatovic, O., & Saratchandran, H. (2019). Inequalities and separation for covariant Schrödinger operators. Journal of Geometry and Physics, 138, 215222.
2018 Saratchandran, H. (2018). Finite volume hyperbolic complements of 2tori and Klein bottles in closed smooth simply connected 4manifolds. New York Journal of Mathematics, 24, 443450. 2017 Bandara, L., & Saratchandran, H. (2017). Essential selfadjointness of powers of firstorder differential operators on noncompact manifolds with lowregularity metrics. Journal of Functional Analysis, 273(12), 37193758.
Scopus4 WoS42016 Saratchandran, H. (2016). Kirby diagrams and the RatcliffeTschantz hyperbolic 4manifolds. Topology and its Applications, 202, 301317.
— Saratchandran, H. (n.d.). A four dimensional hyperbolic link complement in a standard $S^2 \times
S^2$.— Saratchandran, H. (n.d.). Essential selfadjointness of perturbed quadharmonic operators on
Riemannian manifolds with an application to the separation problem.— Milatovic, O., & Saratchandran, H. (n.d.). Essential selfadjointness of perturbed biharmonic operators via
conformally transformed metrics.
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