**Sebastiano** Nicolussi Golo

Dipartimento di Matematica

Università di Padova

Via Trieste, 63

35121 Padova, Italy

I am a research fellow (postdoc) at the Department of Mathematics of the University of Padova in Italy (EU), under the supervision of Davide Vittone. 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.

**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**
or 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.

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.nicolussi@math.unipd.it. My ORCID ID is: 0000-0002-3773-6471.

# Special Pages

- 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

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

(with A.~Julia and D.~Vittone)

[arXiv] [cvgmt] - “Intrinsic rectifiability via flat cones in the Heisenberg group”

(with A. Julia)

[arXiv] [cvgmt] - “Metric Lie groups admitting dilations”

(with E. Le Donne)

[arXiv] [cvgmt] - “Polarised Lie groups contactomorphic to stratified groups”

(with A. Ottazzi)

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

(with A. Martini, D. Müller)

[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

- “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*2018

[Paper] [arXiv] - “Some remarks on contact variations in the first Heisenberg group”

*Ann. Acad. Sci. Fenn. Math.*2018

[Paper] [arXiv] [cvgmt] - “Regularity properties of spheres in homogeneous groups”

(with E. Le Donne)

*Trans. Amer. Math. Soc.*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. (4)*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

Francesco Bigolin

Michael G. Cowling

Moon Duchin

Chang-Yu Guo

Ville Kivioja

Enrico Le Donne

Alessio Martini

Detlef Müller

Alessandro Ottazzi

Séverine Rigot

Manuel Ritoré

Andrea Sambusetti

Raul Serapioni

Francesco Serra Cassano

Ben Warhurst

Marshall Williams