Nikhil Savale





Experience

Previously, I was a research assistant (and privatdozent) at the Mathematisches Institut of 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.





Activities

Organized:
Seminar Semiklassische Analysis und Darstellungstheorie (2017-2025)
Hypoelliptic Operators in Geometry
Workshop on Complex Analytic Geometry
Quantization in Symplectic Geometry


Local:
Complex Analysis Seminar
HMI events
Trinity colloquia - Maths, Theoretical Physics
Others - UCD, Maynooth



Past/Upcoming:

Interaction in Several Complex Variables , Dehradun, India
Quantization, Singularities, and Holomorphic Dynamics , SNS Pisa
Complex Geometry, Complex Analysis and Dynamics, CIRM Luminy
Complex Analysis, Geometry and Dynamics IV, Portorož, Slovenia
From Complex Analysis to Quantization, Nankai University, China
Randomness in Complex Analysis and Complex Geometry, Nesin Mathematics Village, Turkey
Workshop on Several Complex Variables and CR geometry, Shenzhen, China
Complex Dynamics and Complex Geometry, Amiens, France
CR Geometry and PDEs X, Levico Terme, Italy
Index Theory and Complex Geometry Part 2, National University of Singapore
Microlocal and Global Analysis, Interactions with Geometry, Potsdam, Germany
Taipei Conference on Complex Geometry, Academia Sinica, Taipei
Pluripotential Theory and Holomorphic foliations, Valenciennes, France
Global Analysis and Geometry, Osaka Metropolitan University, Japan
Quantization in Geometry, Cologne, Germany
HAYAMA Symposium on Complex Analysis in Several Variables XXIV, Hayama, Japan
29th Nordic Congress of Mathematicians (NCM29) , Aalborg, Denmark
Oka theory and Complex geometry, Sophus Lie conference centre, Norway
SCV, CR geometry and Dynamics, Nice, France
Microlocal and Global Analysis, Interactions with Geometry, Potsdam, Germany
Bergman kernels in microlocal analysis and mathematical physics, CIRM Luminy
Complex Geometry, Dynamical Systems and Foliation Theory, CIRM Luminy
Complex Geometry and Dynamical Systems, Oberwolfach, Germany
Index Theory and Complex Geometry, National University of Singapore
Microlocal and Global Analysis, Interactions with Geometry, Potsdam, Germany
SRGI conference, Paris, France
Taipei Conference on Complex Geometry, Academia Sinica, Taipei
Recent developments in microlocal analysis, MSRI, Berkeley
International Workshop on Geometric Quantization and Applications, CIRM Luminy
Journées sous-riemanniennes 2018, Grenoble, France
New trends and open problems in Geometry and Global Analysis, Marburg, Germany
Interfaces between Geometric Analysis and Mathematical Physics, Institut Mittag Leffler, Sweden
Workshop on Geometric Quantization, BIRS, Canada
Spectral geometry, graphs and semiclassical analysis, Aussois, France
Problemes Spectraux en Physique Mathematique, Paris, France
Spectral Geometry, Graphs, Semiclassical Analysis and Dynamics, Peyresq, France
New trends in semiclassical analysis, Chales, France
Autour du Laplacien sous-Riemannien, Grenoble, France
Memorial conference in honor of Louis Boutet de Monvel, Paris, France
AMS Special Session on Geometry of Manifolds, Singular Spaces, and Groups, Michigan State University
Quantum Geometry, Stochastic Geometry, Random Geometry, you name it SCGP, Stony Brook
AMS Special Session on Topics in Spectral Geometry and Global Analysis University of New Mexico
Control, index, traces and determinants. A conference related to the work of Jean-Michel Bismut Paris, France





Notes & Slides

Bergman-Szegő kernel asymptotics in weakly pseudoconvex finite type cases.
Slides for a talk given at a conference on Index Theory and Complex Geometry, Singapore, August 2021.
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