Nikhil Savale


I am currently a research assistant at the Mathematisches Institut, Universität zu Köln in the group of G. Marinescu.

I spent the academic year 2016-17 as a postdoctoral researcher in Laboratoire Jacques-Louis Lions (Paris 6) with Y. Colin de Verdière (Grenoble) and E. Trélat (Paris 6).

I spent the academic year 2012-13 as a postdoctoral researcher in the équipe Topologie Dynamique at Université Paris-Sud (Orsay) with J.-M. Bismut.

Prior to that I was a graduate (and undergraduate) student at MIT with T. Mrowka.

Prior to that I was learning math as a teenager in India.


Seminar Semiklassische Analysis und Darstellungstheorie
Quantization in Symplectic Geometry

Oberseminar Geometrie, Topologie und Analysis
Joint Seminar on Complex Algebraic Geometry and Complex Analysis (Bochum - Essen - Köln - Wuppertal)
Symplectic Structures in Geometry, Algebra and Dynamics
Sub-Riemannian Geometry and Interactions

Index Theory and Complex Geometry
Microlocal and Global Analysis, Interactions with Geometry
SRGI conference
Taipei Conference on Complex Geometry
Recent developments in microlocal analysis
International Workshop on Geometric Quantization and Applications
Journées sous-riemanniennes 2018
New trends and open problems in Geometry and Global Analysis
Interfaces between Geometric Analysis and Mathematical Physics
Workshop on Geometric Quantization
Spectral geometry, graphs and semiclassical analysis
Problemes Spectraux en Physique Mathematique
Spectral Geometry, Graphs, Semiclassical Analysis and Dynamics
New trends in semiclassical analysis
Autour du Laplacien sous-Riemannien
Memorial conference in honor of Louis Boutet de Monvel
AMS Special Session on Geometry of Manifolds, Singular Spaces, and Groups
Quantum Geometry, Stochastic Geometry, Random Geometry, you name it
AMS Special Session on Topics in Spectral Geometry and Global Analysis
Control, index, traces and determinants. A conference related to the work of Jean-Michel Bismut

Notes & Slides

Bergman-Szegő kernel asymptotics in weakly pseudoconvex finite type cases.
Slides for a talk in the WUSTL Hypoelliptic Laplacian and Noncommutative Geometry seminar, October 2020.
Video of the same talk

Bochner Laplacian and Bergman kernel expansion of semi-positive line bundles on a Riemann surface.
Slides for a talk given at the SRGI conference, Paris, September 2020.
Video of the same talk

Spectrum and abnormals in sub-Riemannian geometry: the 4D quasi-contact case
Slides for a talk given at IAS, Princeton, October 2019.
Video of the same talk

Sub-leading asymptotics of ECH capacities
Notes for a topology seminar given at UC Berkeley, October 2019.

New results and open problems about Bergman kernel asymptotics
Slides for a talk given jointly with with G. Marinescu, Marburg, August 2018.

A Gutzwiller type trace formula for the magnetic Dirac operator
Slides for a talk given at a workshop on Geometric Quantization, Banff, April 2018.
Video of the same talk

Asymptotics of the Eta invariant
Slides for a talk given at an AMS special session, Albuquerque, April 2014.

Some Reviews:   Mathscinet     zbMATH