**Sebastiano** Nicolussi Golo

P.O. Box 35 (MaD)

University of Jyväskylä

FI-40014 Finland

I am a postdoc at the Department of Mathematics and Statistics of the University of Jyväskylä in Finland (EU), under the supervision of Katrin Fässler.

**Metric Geometry** and **Geometric Measure Theory**,
together with **Lie Group Theory**,
are my main areas of research,
with particular emphasis on problems that arise in
**sub-Riemannian Geometry**,
**Analysis on Metric Spaces**
and 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.

In particular, I am interested in the regularity of minimal submanifolds, conditions for equivalence between CC distances and boundedness of certain operators. The recurrent theme is the geometry of Carnot groups, which appear in the asymptotic geometry of CC spaces, both at infinitesimal and at large scales.

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.

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

- 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

- “Jet spaces on Carnot groups”

(with B. Warhurst)

[arXiv] - “Nilpotent groups and biLipschitz embeddings into L1”

(with S. Eriksson-Bique, C. Gartland, E. Le Donne, L. Naples)

[arXiv] - “Lipschitz Carnot-Carathéodory structures and their limits”

(with G. Antonelli and E. Le Donne)

[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

- “Lipschitz functions on submanifolds in Heisenberg groups”

(with A. Julia and D.Vittone)

Accepted in*International Mathematics Research Notices*(2022)

[arXiv]

- “Metric equivalences of Heintze groups and applications to classifications in low dimension”

(with V. Kivioja and E. Le Donne)

Accepted in*Illinois Journal of Mathematics*(2021)

[arXiv] - “Area of intrinsic graphs and coarea formula in Carnot Groups”

(with A. Julia and D. Vittone)

Accepted in*Mathematische Zeitschrift*(2021)

[arXiv] [cvgmt] - “Spectral multipliers and wave equation for sub-Laplacians: lower bounds of Euclidean type”

(with A. Martini, D. Müller)

Accepted in*Journal of the European Mathematical Society*(2021)

[Paper] [arXiv] - “Nowhere differentiable intrinsic Lipschitz graphs”

(with A. Julia and D. Vittone)

Accepted in*Bulletin of the London Mathematical Society*(2021)

[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*, Volume 59, Number 1 (2021)

[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]

# Collaborators and Friends

Francesco Bigolin

Michael G. Cowling

Damian Dąbrowski

Moon Duchin

Nate Fisher

Katrin Fässler

Chang-Yu Guo

Ville Kivioja

Enrico Le Donne

Alessio Martini

Detlef Müller

Tuomas Orponen

Alessandro Ottazzi

Séverine Rigot

Manuel Ritoré

Andrea Sambusetti

Raul Serapioni

Francesco Serra Cassano

Michele Villa

Ben Warhurst

Marshall Williams