Liviu Nicolaescu

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Name Liviu Nicolaescu
Member for 1 year
Seen 1 hour ago
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Location University of Notre Dame
Age 48
I do mostly geometry and topology, with an analytic bias. For the past few years Morse theory has popped up in my research, but not in a conventional way.
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Wikipedia story about Bill Thurston’s death [closed]

aug 22 at 17:20 Benjamin Steinberg 10.6k●1●14●49

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Symbols of elliptic operators

jan 5 at 10:53 Liviu Nicolaescu 11.3k●1●20●33

 

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Invariants of symmetric matrices

aug 15 at 16:25 Liviu Nicolaescu 11.3k●1●20●33

 

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Inequalities involving moments

may 4 12 at 20:15 Liviu Nicolaescu 11.3k●1●20●33

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Answers
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Does Physics need non-analytic smooth functions?
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Can one recover the smooth Gauss Bonnet theorem form the combinatorial Gauss Bonnet theorem as an appropriate limit?
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How many polynomial Morse functions on the sphere?
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Modern Mathematical Achievements Accessible to Undergraduates
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Should one attack hard problems?
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Example of wall-crossing formulae?
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Fourier transform
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Writing papers in pre-LaTeX era?
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Why are there so many smooth functions?
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What are some examples of ingenious, unexpected constructions?
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Finite dimensional “Mountain Pass Lemma”
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Morse theory and homology of an algebraic surface (example)
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Weitzenböck Identities
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Chern-Simons for 2n-dimensional manifolds
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How are infinite-dimensional manifolds most commonly treated?
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De Rham representatives of the cohomology classes in $H^*(SU(3))$
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Geometric meaning of L-genus
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Yang-Mills and Chern-Simons functionals as Morse functions
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Evaluating the average distance from a point in the unit disk to the disk
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Can the level set of a critical value be a regular submanifold?
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Closed formula for heat kernel
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Is there any general index theorem for manifold with boundary?
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Boundedness of the derivative of the trace of an H^1 function
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Torsion in cohomology of smooth manifolds
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What is a Gaussian measure?
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Volume of Gr(2,4)
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Understanding/Mastering Analysis in Topology, necessary?
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Why do I need densities in order to integrate on a non-orientable manifold?
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Where can I find a proof of the de Rham-Weil theorem?
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Laplacians on graphs vs. Laplacians on Riemannian manifolds: $\lambda_2$?
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