Research profile
Masoud Khalkhali
Author of work recommended on this site.
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- on the reading lists
Why people read this work
On the reading lists
What this site's guides and courses recommend by Masoud Khalkhali, and why. Each opens its Library entry.
- A good place to startVideoIntroduction to Spectral Geometry, Lecture 9: Heat Equation and Heat Kernel
The heat kernel of a Riemannian manifold, the transition density of its Brownian motion.
Recommended in Guidebook 6D.5: Diffusions on Manifolds and Curvature · Guidebook 9B.7: The Heat Equation on a Manifold
- VideoIntroduction to Spectral Geometry, Lecture 1: Weyl’s Asymptotic Law
How eigenvalues grow, and what they say about volume.
Recommended in Guidebook 6B.15: Spectral Theory and Heat Trace Asymptotics
- VideoIntroduction to Spectral Geometry, Lecture 10: Heat Trace Asymptotics and Weyl’s Law
The heat trace and its asymptotic expansion, and Weyl’s law derived from it.
Recommended in Guidebook 6B.15: Spectral Theory and Heat Trace Asymptotics
- VideoIntroduction to Spectral Geometry, Lecture 5: Milnor’s Counterexample
Milnor’s isospectral but non-isometric tori: what the spectrum cannot hear.
Recommended in Guidebook 6B.15: Spectral Theory and Heat Trace Asymptotics
- VideoIntroduction to Spectral Geometry, Lecture 8: Spectrum of Spheres and Spherical Harmonics
The eigenvalues of the Laplacian on spheres, and spherical harmonics.
Recommended in Guidebook 9A.6: The Laplacian and the Bochner Formula
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NP-RC-063560 is Masoud Khalkhali's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
A window on one part of a person's work: papers here go back to 2021 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.