P.O. Box 35 (MaD)

University of Jyväskylä

FI-40014 Finland

I have been a postdoc at the Department of Mathematics and Statistics of the University of Jyväskylä in Finland (EU), under the supervision of Katrin Fässler and of Enrico Le Donne.

My main areas of research are:

Metric Geometry,
Geometric Measure Theory,
Lie Group Theory,
sub-Riemannian Geometry,
Analysis on Metric Spaces,
(a little bit in) Harmonic Analysis.

Primarily, I study Lie groups equipped with non-Riemannian distances such as Carnot-Carathéodory distances. Carnot-Carathéodory Geometry, also called sub-Riemannian Geometry, deals with geometric spaces of fractal nature arising from several contexts, such as Hyperbolic Geometry, Geometric Group Theory, Theory of Hypoelliptic Operators and Control Theory.

I obtained a double PhD degree in 2017 from the University of Jyväskylä (Finland, EU) and from the University of Trento (Italy, EU), under the supervision of Enrico Le Donne and Francesco Serra Cassano. I later worked in Birmingham (UK) with Alessio Martini for one year, and in Padova (IT, EU) with Davide Vittone for one year and a half.

Since September 2023, I am taking a break from the academic career.

If you want to know more about me, here is my CV. If you want to contact me, you can write me an email to sebastiano.s.nicolussi-golo@jyu.fi. My ORCID ID is: 0000-0002-3773-6471.

Special Pages

A tentative bibliographic list for BV functions on Carnot groups
Interactions between Geometric measure theory, Singular integrals, and PDE
Trimester Program (January 10 – April 22, 2022), Bonn
Jyväskylä Geometric Analysis Seminar
Lettura della sera
GeA: seminario di Geometria e Analisi a Padova.
Sub-Riemannian Geometry and Beyond, III: A gist on Lie groups in Pisa.
(Postponed because of Covid-19 pandemy)
Introductory courses: ~~19 May 2020 - 23 May 2020~~; http://crm.sns.it/event/462/
The conference: ~~25 May 2020 - 29 May 2020~~; http://crm.sns.it/event/452/
Miniworkshop Geometric Measure Theory in Padova.
Latest in Geometric Analysis. Celebration of Pekka Koskela’s 59th birthday: in Będlewo (Poland), 24.11.2019 - 30.11.2019
Didattica: “Analisi Matematica 1” per Ingegneria Meccanica, tenuto da Fabio Paronetto.

Publications

Preprints

“Curvature Exponent and Geodesic Dimension on Sard-regular Carnot groups”
(with Y. Zhang)
[arxiv]
“Polarised Lie groups contactomorphic to stratified groups”
(with A. Ottazzi)
[arXiv]
“Quasiregular mappings between subRiemannian manifolds”
(with C.-Y. Guo, M. Williams)
[arXiv]
“From homogeneous metric spaces to Lie groups”
(with M. G. Cowling, V. Kivioja, E. Le Donne, A. Ottazzi )
[arXiv]

Published papers

“Jet spaces on Carnot groups”
(with B. Warhurst)
Accepted in Revista Matemática Iberoamericana (2023)
[arXiv]
I have written some python code to compute those jet spaces: see the page on github.
“Nilpotent groups and biLipschitz embeddings into L1”
(with S. Eriksson-Bique, C. Gartland, E. Le Donne, L. Naples)
International Mathematics Research Notices, Volume 2023, Issue 12, June 2023, Pages 10759–10797
[Paper] [arXiv]
“Lipschitz functions on submanifolds in Heisenberg groups”
(with A. Julia and D.Vittone)
International Mathematics Research Notices, Volume 2023, Issue 9, May 2023, Pages 7399–7422
[Paper] [arXiv]
“Lipschitz Carnot-Carathéodory structures and their limits”
(with G. Antonelli and E. Le Donne)
Journal of Dynamical and Control Systems (2022)
[Paper] [arXiv]
“Metric equivalences of Heintze groups and applications to classifications in low dimension”
(with V. Kivioja and E. Le Donne)
Illinois Journal of Mathematics Vol. 66, Issue 1, (Apr 2022) , pgs 91-121
[Paper] [arXiv]
“Area of intrinsic graphs and coarea formula in Carnot Groups”
(with A. Julia and D. Vittone)
Mathematische Zeitschrift, 301, 1369–1406 (2022).
[Paper] [arXiv] [cvgmt]
“Spectral multipliers and wave equation for sub-Laplacians: lower bounds of Euclidean type”
(with A. Martini, D. Müller)
Journal of the European Mathematical Society, 25 (2023), no. 3, pp. 785–843
[Paper] [arXiv]
“Nowhere differentiable intrinsic Lipschitz graphs”
(with A. Julia and D. Vittone)
Bulletin of the London Mathematical Society, Volume 53, Issue 6, December 2021, Pages 1766-1775
[Paper] [arXiv]
“Intrinsic rectifiability via flat cones in the Heisenberg group”
(with A. Julia)
Accepted in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (2021)
[Paper] [arXiv] [cvgmt]
“Sub-Finsler horofunction boundaries of the Heisenberg group”
(with N. Fisher)
Analysis and Geometry in Metric Spaces, Volume 9, Issue 1 (2021)
[Paper] [arXiv]
“Area-minimizing cones in the Heisenberg group \(\mathbb{H}^1\)”
(with M. Ritoré)
Annales Academiæ Scientiarum Fennicæ, Vol. 46 No. 2 (2021)
[Paper] [arXiv]
“Metric Lie groups admitting dilations”
(with E. Le Donne)
Arkiv för Matematik Vol. 59, Issue 1, (Apr 2021) , pgs 125-163
[Paper] [arXiv] [cvgmt]
“The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group”
(with F. Serra Cassano)
Calculus of Variations and Partial Differential Equations, 58, 141 (2019)
[Paper] [arXiv] [cvgmt]
“The Besicovitch covering property in the Heisenberg group revisited”
(with S. Rigot)
The Journal of Geometric Analysis, 29, 3345–3383 (2019)
[Paper] [arXiv]
“Some remarks on contact variations in the first Heisenberg group”
Ann. Acad. Sci. Fenn. Math., 43, 311–335 (2018)
[Paper] [arXiv] [cvgmt]
“Regularity properties of spheres in homogeneous groups”
(with E. Le Donne)
Trans. Amer. Math. Soc., 370, 2057-2084 (2018).
[Paper] [arXiv] [cvgmt]
“Topics in the geometry of non-Riemannian lie groups”
PhD Thesis, University of Jyväskylä, 2017
[Online]
“Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary”
(with E. Le Donne, A. Sambusetti)
Ann. Mat. Pura Appl., Volume 196, Issue 4, pp 1251–1272 (2017)
[Paper] [arXiv] [cvgmt]
“A historical account on characterizations of C^1-manifolds in Euclidean spaces by tangent cones”
(with F. Bigolin)
J. Math. Anal. Appl. 2014
[Paper]

Sebastiano Nicolussi Golo

Special Pages

Publications

Preprints

Published papers

Collaborators and Friends