Nicola Gigli

Nicola Gigli publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Nicola Gigli sits on this spectrum.

Nicola Gigli D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Nicola Gigli sits on this spectrum.

Overview

Best Publications

• Gradient Flows: In Metric Spaces and in the Space of Probability Measures

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  3883
  Citations

• Metric measure spaces with Riemannian Ricci curvature bounded from below

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  643
  Citations

• Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  589
  Citations

• A User’s Guide to Optimal Transport

  Luigi Ambrosio;Nicola Gigli

  517
  Citations

• Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  315
  Citations

• On the Differential Structure of Metric Measure Spaces and Applications

  Nicola Gigli

  312
  Citations

• Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces.

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  264
  Citations

• Riemannian Ricci curvature lower bounds in metric measure spaces with -finite measure

  Luigi Ambrosio;Nicola Gigli;Andrea Mondino;Tapio Rajala

  263
  Citations

• Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows

  Nicola Gigli;Andrea Mondino;Giuseppe Savaré

  253
  Citations

• The splitting theorem in non-smooth context

  Nicola Gigli

  219
  Citations

• Metric measure spaces with Riemannian Ricci curvature bounded from below

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  192
  Citations

• Nonsmooth Differential Geometry: An Approach Tailored for Spaces With Ricci Curvature Bounded from Below

  Nicola Gigli

  189
  Citations

• Heat flow on Alexandrov spaces

  Nicola Gigli;Kazumasa Kuwada;Shin Ichi Ohta

  145
  Citations

• Riemannian Ricci curvature lower bounds in metric measure spaces with $\sigma$-finite measure

  Luigi Ambrosio;Nicola Gigli;Andrea Mondino;Tapio Rajala

  144
  Citations

• Non-collapsed spaces with Ricci curvature bounded from below

  Guido De Philippis;Nicola Gigli

  111
  Citations

• A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions

  Alessio Figalli;Nicola Gigli

  107
  Citations

• An Overview of the Proof of the Splitting Theorem in Spaces with Non-Negative Ricci Curvature

  Nicola Gigli

  105
  Citations

• On the heat flow on metric measure spaces: existence, uniqueness and stability

  Nicola Gigli

  95
  Citations

• Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  90
  Citations

• Optimal Maps and Exponentiation on Finite-Dimensional Spaces with Ricci Curvature Bounded from Below

  Nicola Gigli;Nicola Gigli;Tapio Rajala;Karl-Theodor Sturm

  89
  Citations

• Bakry-'Emery curvature-dimension condition and Riemannian Ricci curvature bounds

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  83
  Citations

• From volume cone to metric cone in the nonsmooth setting

  Guido De Philippis;Nicola Gigli

  72
  Citations

• Lectures on Nonsmooth Differential Geometry

  Nicola Gigli;Enrico Pasqualetto

  71
  Citations

• On the inverse implication of Brenier-Mccann theorems and the structure of (P 2 (M),W 2 )

  Nicola Gigli

  70
  Citations

• OPTIMAL MAPS IN NON BRANCHING SPACES WITH RICCI CURVATURE BOUNDED FROM BELOW

  Nicola Gigli

  64
  Citations

• Gradient flows with metric and differentiable structures, and applications to the Wasserstein space

  Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  58
  Citations

• Second order differentiation formula on RCD*$(K,N)$ spaces

  Nicola Gigli;Luca Tamanini

  57
  Citations

• The continuity equation on metric measure spaces

  Nicola Gigli;Bang-Xian Han

  56
  Citations

• Independence on p of weak upper gradients on RCD spaces

  Nicola Gigli;Bang-Xian Han

  52
  Citations

• Measure Theory in Non-Smooth Spaces

  Unknown

  49
  Citations

• Behaviour of the reference measure on $\sf RCD$ spaces under charts

  Nicola Gigli;Enrico Pasqualetto

  30
  Citations