Sugata Mondal

Lecturer in Pure Mathematics,
University of Reading.
Email : s.mondal@reaging.ac.uk


About me

I am currently a Lecturer in Pure Mathematics at the University of Reading, UK.

My current research has two broad themes:
(1) structure of level sets of Laplace eigenfunctions on domains and manifolds governed by various conjectures e.g. hot spots conjecture, Payne's nodal domain conjecture and Schiffer's conjecture, and
(2) small eigenvalues of Riemannian manfolds and their stability.

Other than this, I am also interested in various questions related to the length and angle spectrum of hyperbolic surfaces.
Please feel free to browse my papers below, and do not hesitate to get in touch if you have any question or suggestion.

PhD and Postdoc opportunities

There is a PhD position available to work with me. If you are interested, please apply here .

There is a UKRI funded postdoc (PDRA) position available to work with me. If you are interested, please apply here .

Seminars at Reading

Here is the link to the analysis seminar at University of Reading.



My CV.

My Phd thesis

Small eigenvalues of hyperbolic surfaces.

Publications

  1. Spectral instability of coverings
    with Werner Ballmann.
    Published online in IMRN.

  2. A short note on the Schiffer's conjecture for centrally symmetric convex domains in the plane.
    To appear in Journal d'Analyse Mathematique.

  3. Critical hypersurface of Neumann eigenfunctions
    with C. Judge.
    Published in Annales Mathematiques du Quebec.

  4. Critical points of Laplace eigenfunctions on polygons
    with C. Judge.
    Published in Comm. in PDE.

  5. Erratum: Euclidean Triangles have no hot spots.
    with C. Judge.
    Published in Ann. of Math.

  6. Euclidean triangles have no hot spots.
    with C. Judge.
    Published in Ann. of Math.

  7. Topological properties of eigenfunctions of Riemannian surfaces, Dedicated to Jean-Pierre Otal on his 60th birthday.
    Published in Annales de la Facult\'{e} des Sciences de Toulouse.

  8. Small eigenvalues of Riemannian surfaces- old and new
    with Werner Ballmann and Henrik Matthiesen.
    Published in ICCM Not.

  9. An arithmetic property of the set of angles between closed geodesics on hyperbolic surfaces of finite type.
    Published in Geometriae Dedicata.

  10. Rigidity of the length-angle spectrum for closed hyperbolic surfaces.
    Submitted.

  11. On the analytic systole of complete Riemannian surfaces of finite type.
    with Werner Ballmann and Henrik Matthiesen.
    Published in Geom. and Func. Analysis.

  12. Small eigenvalues of surfaces of finite typ.
    with Werner Ballmann and Henrik Matthiesen.
    Published in Comp. Math.

  13. Geodesics and Nodal sets of eigenfunctions on Hyperbolic manifold.
    with C. Judge.
    Published in Proc. of AMS.

  14. Small eigenvalues of closed surface.
    with Werner Ballmann and Henrik Matthiesen.
    Published in Jour. of Diff. Geom.

  15. On largeness and multiplicity of the first eigenvalue of finite area hyperbolic surfaces.
    Published in Math. Z.

  16. On topological upper-bounds on the number of small cuspidal eigenvalues of finite area hyperbolic surfaces.
    Published in IMRN.

  17. Systole and $\lambda_{2g-2}$ of closed hyperbolic surfaces of genus g.
    Published in Enseign. Math.