Picture of Asilya Suleymanova

Asilya Suleymanova

Email: asuleym@iu.edu

Office: Rawles Hall, Room 437
             Bloomington IN 47405, US

I am a postdoc at Indiana University in Bloomington IN.

My research interests lie in analysis on manifolds and spectral theory with focus on spectral geometry. In particular I work on heat trace asymptotic expansions on manifolds with conic singularities and non-isolated singularities.

Here is a pdf version of my CV.

Publications & Preprints

  • Spectral geometry of surfaces with curved conic singularities, pdf Preprint. (2017).
  • Heat trace asymptotics for wedge-like singularity, pdf Preprint. (2017).
  • On the spectral geometry of manifolds with conic singularities, pdf Submitted. (2017).
  • Heat trace expansion on manifolds with conic singularities, pdf Submitted. (2017).
  • Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold, pdf (with Tudor S. Ratiu and Andrei Shafarevich) Russ. J. Math. Phys. (2013) 20: 326.
  • Recorded talks

  • Spectral zeta function, BMS conference, Berlin, 22 February, 2017
  • What is the heat kernel?, Berlin, 19 June, 2015
  • Stratified Spaces and Thom's First Isotopy Lemma, BMS conference, Berlin, 19 February, 2015
  • Upcoming events and talks

  • Bloomington Geometry Workshop, Bloomington, Indiana, 5 to 7 April, 2019
  • Women in Geometry Workshop, Oaxaca, 23 to 28 June, 2019
  • Teaching

  • Spring 2019: Calculus I at Indiana University, Bloomington.
  • Fall 2018: Finite Mathematics at Indiana University, Bloomington.
  • Fall 2017: Geometric analysis learning seminar at Max Planck Institute, Bonn.
  • 2016 - 2017: "What is ...?" seminar one of the organizers at BMS, Berlin.
  • Spring 2015: Differential Geometry II at HU Berlin.
  • Fall 2014/15: Ordinary Differential Equations at HU Berlin.
  • Notes

  • A representation of the zeta function
    In these notes we derive a representation of the spectral zeta function.
  • Heat trace asymptotics on a tetrahedron
    Tetrahedron is an example of a stratified space. The purpose of these notes is to show that it is reasonable to hope that one can detect the singular character of a manifold with conic singularities from the heat trace expansion of Hodge Laplacian.
  • What is the heat kernel?
    These are notes of my talk about the heat kernel on a What is...? seminar in BMS.
  • Notes on stratified spaces
    These notes contain some definitions and properties of stratified spaces that follow and sometimes complement Mather's paper. Also it is shown that finite simplicial complex is an example of stratified space.