Research of Enrico Le Donne

My Research Interests are mainly in Geometry:

Metric and Differential Geometry, Geometric Measure Theory, Geometric Analysis.

In particular:

Lipschitz Analysis on Metric Spaces,

Sub-Riemannian Geometry,

Group Actions,

Rectifiability on Carnot groups,

Geometric Group Theory,

Asymptotic Geometry,

Embedding problems.

Some links of lists of publications: 

• MathSciNet

• ArXiv 

• CVGMT

Mentors and Collaborators

• Luigi Ambrosio

• Andrei Ardentov

• Richard Aron

• Zoltán Balogh

• Davide Barilari

• Costante Bellettini

• Mario Bonk

• Ugo Boscain

• Emmanuel Breuillard

• Luca Capogna

• Michael Cowling

• Guy C. David

• Sebastiano Don

• Katrin Faessler

• Alessio Figalli 

• Eero Hakavuori

• Jesus Jaramillo

• Kyle Kinneberg

• Ville Kivioja

• Bruce Kleiner,       thesis advisor

• Pekka Koskela

• Urs Lang

• Gian Paolo Leonardi

• Sean Li

• John Mackay

• Valentino Magnani

• Gregory Margulis

• Terhi Moisala

• Richard Montgomery

• Roberto Monti

• Sebastiano Nicolussi Golo

• Alessandro Ottazzi

• Pekka Pankka

• Pierre Pansu

• Andrea Pinamonti

• Tapio Rajala

• Severine Rigot

• Andrea Sambusetti

• Viktor Schroeder

• Raanan Schul

• Raul Serapioni

• Francesco Serra Cassano

• Yuri Sachkov

• Mario Sigalotti

• Gareth Speight

• Jeremy Tyson

• Davide Vittone

• Eric Walsberg

• Ben Warhurst

• Stefan Wenger

• Xiangdong Xie

• Roger Zuest

Postdocs

Francesca Tripaldi (2017-19), Thibaut Dumont (2017-19), Laurent Dufloux (2018- 19), Matthew Romney (2018-19), Sebastiano Don (2018-21), Gabriel Pallier (2019–21), Daniela Di Donato (2020), Enrico Pasqualetto (2020), Michał Jóźwikowski (2021), Daniele Cannarsa (2021-), Andrea Merlo (2022-).

PhD students

Valerio Gianella (2011-17) On the Asymptotics of the Growth of Nilpotent Groups
Sebastiano Nicolussi Golo (2012-17) Topics in the geometry of non-Riemannian Lie groups
Eero Hakavuori (2015-19) Sub-Riemannian Geodesics
Terhi Moisala (2016-20) Unraveling Intrinsic Geometry of Sets and Functions in Carnot groups
Ville Kivioja (2015-21) On Metric Relations between Lie Groups
Gioacchino Antonelli (2019–)
Luca Nalon (2021-)
Nicola Paddeu (2022–)
Andrea Tettamanti (2023-)

Master students 

Ville Kivioja (2013-15), Runo-Mikael Ojala (2019–), Alessandro Pilastro (2020–21), Valto Purho (2020-), Nicola Paddeu (2021–22), Andrea Tettamanti (2022–23), Alessio Giorgi (2022-23), Shadman Minbari (2023-), Anaclet Deguenon (2023-), Filippa Lo Biundo (2023-).

Bachelor

Alessandro Pilastro (2019-20), Nicola Paddeu (2020), Cristian Sopio (2020), Jacopo Degl’Innocenti (2020-21), Filippa Lo Biundo (2021), Dario Cavalieri (2021), Susanna Terron (2021).

Some links of journals:     (A list with MCQ ranking)

•    _   _   _     Top journals   _    _    3 points in the Finnish ranking  _   _ 

• Acta Mathematica

• Advances in Mathematics 

• American Journal of Mathematics

• Annales de l'Institut Henri Poincare C: Analyse Non Lineaire 

• Annales Scientifiques de l'Ecole Normale Superieure

• Annals of Mathematics

• Archive for Rational Mechanics and Analysis

• Communications on Pure and Applied Mathematics

• Duke Mathematical Journal

• GAFA : Geometric and Functional Analysis 

• Geometry and Topology  

• Inventiones Mathematicae 

• Journal de Mathematiques Pures et Appliques

• Journal fur die Reine und Angewandte Mathematik: Crelle's Journal 

• JAMS : Journal of the American Mathematical Society 

• JEMS : Journal of the European Mathematical Society 

• Memoirs of the American Mathematical Society

• Proceedings of the London Mathematical Society 

• PNAS : Proceedings of the National Academy of Sciences of the United States of America

• Publications Mathematiques de l'IHES 

•    _   _   _     Excellent journals   _    _    2 points in the Finnish ranking  _   _ 

• Annales Academiæ Scientiarum Fennicæ - Mathematica

• AIF : Annales de l’Institut Fourier

• Annali della scuola normale superiore di Pisa-Classe di Scienze 

  • Arkiv for Matematik

  • ASTERISQUE

• Bulletin of the American Mathematical Society 

  • Bulletin Of The London Mathematical Society

  • CVPDE : Calculus of Variations and Partial Differential Equations 

• Commentarii Mathematici Helvetici

• CAG : Communications in Analysis and Geometry

• Communications in Partial Differential Equations

• Compositio Mathematica

  • Documenta Mathematica

• Ergodic Theory and Dynamical Systems 

• Geometriae Dedicata

• IMRN : International Mathematics Research Notices

• IUMJ : Indiana University Mathematics Journal 

  • Israel Journal Of Mathematics

• Journal d'Analyse Mathmatique 

• JDG : Journal of Differential Geometry 

• JGEA : Journal of Geometric Analysis

• Journal Of The London Mathematical Society: Second Series

• Mathematical Proceedings Of The Cambridge Philosophical Society

• Mathematical Research Letters

• Mathematische Annalen

• Mathematische Zeitschrift 

• Memoirs of the American Mathematical Society 

• Potential Analysis

• Proceedings of the AMS 

• Proceedings of the Royal Society A 

• Revista Matematica Iberoamericana

  • Selecta Mathematica: New Series

• SIMA: SIAM Journal of mathematical analysis 

• SICON : SIAM Journal on control and optimization

• Transactions of the American Mathematical Society 

•    _   _   _     Good journals   _    _    1 point in the Finnish ranking  _   _ 

• Advances in Calculus of Variations 

• Advances in Geometry 

• AGMS : Analysis and Geometry in Metric Spaces

• Annali di Matematica Pura ed Applicata

• Annals of global analysis and geometry

• Archiv der Mathematik

• CGD : Conformal Geometry and Dynamics

• COCV : ESAIM: Control, Optimisation and Calculus of Variations

• Comptes Rendus Mathematique

  • Communications in Contemporary Mathematics

• Differential Geometry and its applications

• GGD : Groups, Geometry, and Dynamics 

• IJM : Illinois Journal of Mathematics

• JTA : Journal of Topology and Analysis 

• New York Journal of Mathematics 

• PJM : Pacific Journal of Mathematics

• Transformation groups 

• ANALYSIS AND PDE

• Forum Mathematicum