Hemanth Saratchandran

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
    Algebraic and Differential Geometry Mathematical Physics Topology
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  • Journals
    Year Citation
    2019 Saratchandran, H. (2019). Higher order Seiberg–Witten functionals and their associated gradient flows. Manuscripta Mathematica, 160(3-4), 411-481.
    DOI
    2019 Milatovic, O., & Saratchandran, H. (2019). Inequalities and separation for covariant Schrödinger operators. Journal of Geometry and Physics, 138, 215-222.
    DOI
    2018 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.
    DOI Scopus4 WoS4
    2016 Saratchandran, H. (2016). Kirby diagrams and the Ratcliffe-Tschantz hyperbolic 4-manifolds. Topology and its Applications, 202, 301-317.
    DOI
    — Saratchandran, H. (n.d.). A four dimensional hyperbolic link complement in a standard $S^2 \times
    S^2$.
    — Saratchandran, H. (n.d.). Essential self-adjointness of perturbed quadharmonic operators on
    Riemannian manifolds with an application to the separation problem.
    — Milatovic, O., & Saratchandran, H. (n.d.). Essential self-adjointness of perturbed biharmonic operators via
    conformally transformed metrics.
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