Leandro Arosio – Curriculum Vitæ
Department of Mathematics, University of Rome “Tor Vergata”,
Via della Ricerca Scientifica 1, 00133 Rome
Telephone: +39-0672594837
Email: arosio@mat.uniroma2.it
URL: https://sites.google.com/view/leandroarosio/home
Date and place of birth: 26/10/1984 — Pisa, Italy
Nationality: Italian
Current Position
Since 27/06/2022 Associate Professor, Department of Mathematics, University of Rome “Tor Vergata”
National Scientific Qualification
2020 ASN – Full Professor, competition sector 01/A2 Geometry and Algebra (valid 11/11/2020–11/11/2031)
2016 ASN – Associate Professor, competition sector 01/A2 Geometry and Algebra (valid 28/03/2017–28/03/2023)
Previous Positions
2019–2022 Researcher B (RTDB), Department of Mathematics, University of Rome “Tor Vergata” (27/06/2019–27/06/2022)
2015–2019 Researcher A (RTDA), University of Rome “Tor Vergata”; SIR project “New Methods in Holomorphic Iteration” (08/10/2015–27/06/2019)
2012–2015 Postdoctoral Research Fellow, University of Rome “Tor Vergata”; ERC project “Holomorphic Evolution Equations” (15/04/2012–15/04/2015 and 15/07/2015–08/10/2015)
2011–2012 Postdoctoral Fellow, INDAM “F. Severi”; Fellowship “Fondazione Roma Terzo Settore” (15/04/2011–15/04/2012)
Education
2011 Ph.D. in Mathematics, University of Rome “La Sapienza”
Thesis title: Resonances and direct limits in Loewner equations
Advisor: F. Bracci
Awarded on: 19/01/2011
2007 M.Sc. in Mathematics, University of Pisa
Grade: 110/110 cum laude
Thesis title: Teoremi dei residui (“Residue theorems”)
Advisor: M. Abate
Awarded on: 26/10/2007
Grants (as PI)
2015–2019 Principal Investigator of the SIR 2014 research project “NEWHOLITE – New Methods in Holomorphic Iteration” (budget: €533,810)
Grants (as participant)
Since 2023 PRIN 2022 “Real and Complex Manifolds: Geometry and Holomorphic Dynamics”, PI: Filippo Bracci
2013–2016 PRIN 2011 “Real and complex manifolds: geometry, topology, and harmonic analysis”, PI: Fulvio Ricci
2011–2016 ERC project “Holomorphic Evolution Equations (HEVO)”, PI: Filippo Bracci
Fellowships
2017 Fellow at the Centre for Advanced Studies, Norwegian Academy of Science and Letters, Oslo
Project: “Several Complex Variables and Complex Dynamics”
(February 2017 and May 2017)
2002–2007 INdAM scholarships for B.Sc. and M.Sc. students in Mathematics, and “Premio di Laurea”
Institutional Responsibilities
Since 2021 Member of the Scientific Committee, Department of Mathematics, University of Rome “Tor Vergata”
Since 2020 Member of the Ph.D. Board in Mathematics, University of Rome “Tor Vergata”
Organization of Conferences, Schools, and Seminars
2024 Co-organizer of the conference “Invariant metrics in complex analysis” (with F. Bracci and M. Fiacchi), Villa Mondragone, Monte Porzio Catone (Italy), 18–20/09/2024
2022 Co-organizer of the INdAM meeting “New trends in holomorphic dynamics” (with F. Bianchi, J. Raissy, M. Ruggiero), Palazzone, Cortona (Italy), 29/08–2/09/2022
2022 Co-organizer of the conference “Holomorphic semigroups in Rome” (with F. Bracci), University of Rome “Tor Vergata”, 5–8/07/2022
2021 Co-organizer of the online “Second Virtual Conference on Complex Analysis and Complex Geometry” (with F. Larusson and R. Shafikov), 10/05–13/06/2021
2020 Co-organizer of the online “Virtual Conference on Complex Analysis and Complex Geometry” (with F. Larusson and R. Shafikov), 4/05–14/06/2020
2018 Co-organizer of the CIME summer school “Complex non-Kähler geometry” (with D. Angella, E. Di Nezza), Cetraro (Italy), 9–13/07/2018
2017 Co-organizer of the “Joint Conference in Analysis IMU–INdAM”, Tel Aviv (Israel), 29/05–01/06/2017
Since 2015 Co-organizer of the permanent seminar “Complex Analysis”, Department of Mathematics, University of Rome “Tor Vergata”
Research Interests
Complex dynamics; one and several complex variables; complex geometry
Publications – Journal Articles
(Your entire list is preserved below, translated only where needed; titles remain in English as published.)
2025 L. Arosio, M. Fiacchi, The Julia–Wolff–Carathéodory theorem in convex finite type domains, J. Reine Angew. Math. (to appear)
2025 L. Arosio, F. Larusson, Dynamics of generic automorphisms of Stein manifolds with the density property, Ergod. Theory Dyn. Syst. (to appear), arXiv:2303.05002
2024 L. Arosio, F. Bracci, H. Gaussier, A counterexample to parabolic dichotomies in holomorphic iteration, J. Geom. Anal. 34 (2023), no. 5, 153
2024 L. Arosio, M. Fiacchi, L. Guerini, A. Karlsson, Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces, Adv. Math. 439 (2024)
2024 L. Arosio, M. Fiacchi, S. Gontard, L. Guerini, The horofunction boundary of a Gromov hyperbolic space, Math. Ann. 388 (2024), no. 2, 1163–1204
2023 L. Arosio, G. Dall’Ara, M. Fiacchi, Worm domains are not Gromov hyperbolic, J. Geom. Anal. 33 (2023), no. 8, 257
2023 L. Arosio, A. M. Benini, J. E. Fornæss, H. Peters, Dynamics of transcendental Hénon maps–II, Math. Ann. 385 (2023), 975–999
2022 L. Arosio, F. Larusson, Dynamics of generic endomorphisms of Oka–Stein manifolds, Math. Z. 300 (2022), 2467–2484
2021 L. Arosio, A. M. Benini, J. E. Fornæss, H. Peters, Dynamics of transcendental Hénon maps–III: infinite entropy, J. Mod. Dyn. 17 (2021), 465–479
2021 L. Arosio, L. Boc Thaler, H. Peters, A transcendental Hénon map with an oscillating wandering short C², Math. Z. 299 (2021), 357–372
2021 A. Altavilla, L. Arosio, L. Guerini, Canonical models on strongly convex domains via the squeezing function, J. Geom. Anal. 31 (2021), 4661–4702
2020 L. Arosio, F. Larusson, Generic aspects of holomorphic dynamics on highly flexible complex manifolds, Ann. Mat. Pura Appl. 199 (2020), 1697–1711
2020 L. Arosio, J. E. Fornæss, N. Shcherbina, E. F. Wold, Squeezing functions and Cantor Sets, Ann. Sc. Norm. Super. Pisa Cl. Sci. XXI (2020), 1359–1369
2019 L. Arosio, L. Guerini, Backward orbits in the unit ball, Proc. Amer. Math. Soc. 147 (2019), 3947–3954
2019 L. Arosio, E. F. Wold, Totally real embeddings with prescribed polynomial hulls, Indiana Univ. Math. J. 68 (2019), 629–640
2019 L. Arosio, F. Larusson, Chaotic holomorphic automorphisms of Stein manifolds with the volume density property, J. Geom. Anal. 29 (2019), 1744–1762
2019 L. Arosio, A. M. Benini, J. E. Fornæss, H. Peters, Dynamics of transcendental Hénon maps, Math. Ann. 373 (2019), 853–894
2017 L. Arosio, F. Bracci, Simultaneous models for commuting holomorphic self-maps of the ball, Adv. Math. 321 (2017), 486–512
2017 L. Arosio, Canonical models for the forward and backward iteration of holomorphic maps, J. Geom. Anal. 27 (2017), 1178–1210
2016 L. Arosio, P. Gumenyuk, Valiron and Abel equations for holomorphic self-maps of the polydisc, Internat. J. Math. 27 (2016), 16 pp.
2016 L. Arosio, F. Bracci, Canonical models for holomorphic iteration, Trans. Amer. Math. Soc. 368 (2016), 3305–3339
2015 L. Arosio, The stable subset of a univalent self-map, Math. Z. 281 (2015), 1089–1110
2015 L. Arosio, F. Bracci, E. F. Wold, Embedding univalent functions in filtering Loewner chains in higher dimensions, Proc. Amer. Math. Soc. 143 (2015), 1627–1634
2013 L. Arosio, F. Bracci, E. F. Wold, Solving the Loewner PDE in complete hyperbolic starlike domains of Cⁿ, Adv. Math. 242 (2013), 209–216
2013 L. Arosio, F. Bracci, H. Hamada, G. Kohr, An abstract approach to Loewner chains, J. Anal. Math. 119 (2013), 89–114
2013 L. Arosio, Loewner equations on complete hyperbolic domains, J. Math. Anal. Appl. 398 (2013), 609–621
2012 L. Arosio, Basins of attraction in Loewner equations, Ann. Acad. Sci. Fenn. Math. 37 (2012), 563–570
2011 L. Arosio, F. Bracci, Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds, Anal. Math. Phys. 1 (2011), 337–350
2011 L. Arosio, Resonances in Loewner equations, Adv. Math. 227 (2011), 1413–1435
Proceedings
2025 L. Arosio, M. Fiacchi, On the approaching geodesic property, Boll. U.M.I. 18 (2025), 3–16
2017 L. Arosio, On parabolic dichotomy, in Geometric Function Theory in Higher Dimensions, Springer INdAM Series, 31–42
2015 L. Arosio, Abstract basins of attraction, in Complex Analysis and Geometry, Springer Proc. Math. Stat. 144, 57–66
Visits
2025 Department of Mathematics, Université de Genève (05/2025, 1 week). Invited by Prof. Anders Karlsson
2019 Institut Fourier, Université Grenoble Alpes (07/2019, 1 week). Invited by Prof. Hervé Gaussier
2019 Department of Mathematics, University of Amsterdam (05/2019, 2 weeks). Invited by Prof. Han Peters
2019 Institut Mathématique de Jussieu, Université Paris 7 (04/2019, 1 week). Invited by Prof. Matteo Ruggiero
2019 Department of Mathematics, University of Adelaide (03/2019, 2 weeks). Invited by Prof. Finnur Larusson
2018 Department of Mathematics, University of Oslo (06/2018, 1 week). Invited by Prof. Erlend Wold
2018 Department of Mathematics, University of Amsterdam (06/2018, 1 week). Invited by Prof. Han Peters
2018 Department of Mathematics, University of Ljubljana (03/2018, 1 week). Invited by Prof. Franc Forstnerič
2017 Department of Mathematics, University of Adelaide (09/2017, 3 weeks). Invited by Prof. Finnur Larusson
2017 Department of Mathematics, University of Oslo (03/2017–04/2017, 2 months). Invited by Prof. Erlend Wold
2017 Centre for Advanced Study, Oslo (02/2017 and 05/2017, 2 months). Invited by Prof. Erlend Wold and Berit Stensønes
2016 Departamento de Matemática Aplicada II, Universidad de Sevilla (03/2016, 3 weeks). Invited by Prof. Santiago Díaz-Madrigal
2013 Department of Mathematics, Universität Würzburg (01/2013, 1 week). Invited by Prof. Oliver Roth
2012 Korteweg–de Vries Institute for Mathematics, University of Amsterdam (11/2012, 1 week). Invited by Prof. Han Peters
2012 Department of Mathematics, University of Oslo (10/2012, 1 week). Invited by Prof. Erlend Wold
2011 Département de Mathématiques, Université P. Sabatier Toulouse III (10–11/2011, 2 months). Invited by Prof. François Berteloot
2010 Departamento de Matemática Aplicada II, Universidad de Sevilla (04–05/2010, 2 months). Invited by Prof. Santiago Díaz-Madrigal
Invited Conference Talks
2025
“Julia–Wolff–Carathéodory theorem and pluricomplex Poisson kernel in convex domains of finite type”,
“Geometric Function Theory in Several Complex Variables and Complex Banach Spaces, Workshop dedicated to the memory of Professor Gabriela Kohr”, online conference, 28–30/11/2025
“Julia–Wolff–Carathéodory theorem and pluricomplex Poisson kernel in convex domains of finite type”,
“Invariant Metrics in Complex Analysis”, Banach Center, Będlewo (Poland), 3–7/06/2025
2024
“Backward holomorphic iteration”, “First meeting PHC Galileo”, Parma (Italy), 23–25/10/2024
“Gromov hyperbolicity methods in holomorphic iteration”,
“Second AMS–UMI International Joint Meeting”, Palermo (Italy), 23–26/07/2024
2023
“A Julia–Wolff–Carathéodory theorem in convex domains of finite type”,
“Recent developments on the d-bar equation, complex dynamics and holomorphic mappings — SCV Conference 2023, remembering Berit Stensønes”, University of Oslo (Norway), 7–9/12/2023
“A Julia–Wolff–Carathéodory theorem in convex domains of finite type”,
“Geometric Function Theory on Several Complex Variables and Complex Banach Spaces — Workshop dedicated to the memory of Professor Gabriela Kohr”, online conference, 1–3/12/2023
“Gromov hyperbolicity methods in holomorphic dynamics”, invited talk at the “XXII Congress of the Italian Mathematical Union”, Pisa, 4–9/09/2023
“A Julia–Wolff–Carathéodory theorem in convex domains of finite type”,
“Real and Complex Manifolds: Topology, Geometry and Holomorphic Dynamics”, University of Rome “Tor Vergata”, 21–23/06/2023
“A Julia–Wolff–Carathéodory theorem in convex domains of finite type”,
“Complex Analysis, Geometry and Dynamics”, Portorož (Slovenia), 5–9/06/2023
2022
“Gromov hyperbolicity methods in holomorphic iteration”,
“SCV–Oslo Conference 2022”, University of Oslo (Norway), 1–3/12/2022
“Gromov hyperbolicity methods in holomorphic iteration”,
“Complex Geometry Workshop”, Ruhr University Bochum (Germany), 5–9/09/2022
“Horospheres in strongly pseudoconvex domains”,
“Geometric Aspects of Complex and Harmonic Analysis”, Bologna (Italy), 17–18/01/2022 (online talk)
2021
“Horospheres in strongly pseudoconvex domains”,
“Gromov hyperbolicity and negative curvature in Complex Analysis”, INdAM Workshop, Cortona (Italy), 6–10/09/2021
2019
“Dynamics on complex manifolds: rigidity and flexibility”,
“Geometry in Pairs”, University of Roma Tre, Rome (Italy), 19–20/12/2019
“Dynamics of transcendental Hénon maps”,
“XXI Congress of the Italian Mathematical Union”, Pavia (Italy), 2–7/09/2019
“A wandering short C²”,
“Third Central European Complex Analysis Meeting”, Kraków (Poland), 12–13/04/2019
“A wandering short C²”,
“Workshop 2019: Real and Complex Manifolds — Geometry, Topology and Harmonic Analysis”, Scuola Normale Superiore, Pisa (Italy), 21–23/02/2019
“A wandering short C²”,
“Dynamical Systems and Beyond”, Department of Mathematics, Pisa (Italy), 25–27/03/2019
2018
“Transcendental Hénon maps”,
“Joint Meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics, and the Polish Mathematical Society”, Wrocław (Poland), 17–20/09/2018
2017
“Transcendental Hénon maps”,
“Conference: Complex Dynamics — Iterations, Foliations and Evolutions”, Oslo (Norway), 19–23/06/2017
“Transcendental Hénon maps”,
“Joint Conference in Analysis IMU–INdAM”, Tel Aviv (Israel), 29/05–01/06/2017
2016
“Commuting holomorphic self-maps of the unit ball”,
“Frontiers in Elliptic Holomorphic Geometry”, Jevnaker (Norway), 10–14/10/2016
“Commuting holomorphic self-maps of the unit ball”,
“Recent Progress in Real and Complex Geometry”, Levico Terme (Italy), 8–11/10/2016
“An open problem in holomorphic dynamics of the unit ball”,
“Geometric Function Theory in Higher Dimension”, INdAM Meeting, Cortona (Italy), 5–9/09/2016
“Models for holomorphic self-maps of the unit ball”,
“Complex Analysis and Complex Geometry”, Banff International Research Station (Canada), 1–6/05/2016
“Models for holomorphic self-maps of the unit ball”,
“Sanya Symposium in Complex Analysis and Geometry”, Tsinghua Sanya International Mathematics Forum (China), 16–20/01/2016
2015
“Models for holomorphic self-maps of the unit ball”,
“Workshop on Complex Analysis, Geometry and Dynamics”, ICTP Trieste (Italy), 21/09–03/10/2015
“Forward and backward canonical models for holomorphic self-maps”,
“Norwegian–Spanish Workshop in Complex Variables and Applications”, Madrid (Spain), 19–20/02/2015
2014
“Canonical models for holomorphic iteration”,
“The KSCV10 Symposium — The 10th Korean Conference in Several Complex Variables”, Gyeong-Ju (South Korea), 7–11/08/2014
“Hyperbolic canonical models for holomorphic iteration”,
“Second Workshop on Real and Complex Manifolds: Geometry, Topology and Harmonic Analysis”, Scuola Normale Superiore, Pisa (Italy), 20–22/02/2014
2013
“Abstract basins in complex dynamics”,
“The Complex Structure of Attracting Sets”, Lorentz Center, Leiden (Netherlands), 18–22/11/2013
“Abstract basins of attraction”,
“Complex Analysis and Geometry–XXI”, Levico Terme (Italy), CIRM, 2–7/06/2013
2011
“Geometric aspects of Loewner theory”,
“XIX Congress of the Italian Mathematical Union”, Bologna (Italy), 12–17/09/2011
“Geometric aspects of Loewner theory”,
“Complex Analysis and Geometry–XX”, Levico Terme (Italy), CIRM, 13–17/06/2011
2010
“Resonances and direct limits in Loewner equations”,
“Recent Progress in Real and Complex Geometry”, Levico Terme (Italy), 17–22/10/2010
Invited Seminars
2025
“A Julia–Wolff–Carathéodory theorem in convex domains of finite type”, Department of Mathematics, Université de Genève
2024
“The Worm domain is not Gromov hyperbolic”, University of Florence
2022
“Horospheres in several complex variables”, Monthly Seminar on (Hyper)Complex Analysis and Geometry, Politecnico di Milano
2021
“Horospheres in several complex variables”, Algebra and Geometry Seminar, University of Rome “La Sapienza”
“Horospheres in strongly pseudoconvex domains”, Virtual Seminar on Complex Analysis and Allied Topics
2020
“Horospheres in strongly pseudoconvex domains”, Virtual East–West Several Complex Variables Seminar
2019
“A wandering short C²”, Differential Geometry Seminar, University of Adelaide
2018
“Transcendental Hénon maps”, Séminaire de systèmes dynamiques, University of Toulouse
“Transcendental Hénon maps”, Seminar for Complex Analysis, University of Ljubljana
2017
“Transcendental Hénon maps”, Differential Geometry Seminar, University of Adelaide
“Transcendental Hénon maps”, Centre for Advanced Study, Oslo
2013
“Canonical models for holomorphic iteration”, Universität Würzburg
2012
“Basins of attraction in Loewner theory”, University of Amsterdam
“Abstract basins of attraction”, University of Oslo
2011
“Geometric aspects of Loewner theory”, University of Rome “Tor Vergata”
Ph.D. Courses Taught
2012/2013
“Andersén–Lempert theory” (Theory of Andersén–Lempert)
Ph.D. course, University of Rome “Tor Vergata”
Teaching
2025/2026
Lecturer for Geometry 1
B.Sc. in Mathematics, University of Rome “Tor Vergata”
2024/2025
Lecturer for Geometry
B.Sc. in Computer Engineering, University of Rome “Tor Vergata”
Lecturer for Geometry 1
B.Sc. in Mathematics, University of Rome “Tor Vergata”
2023/2024
Lecturer for Geometry
B.Sc. in Computer Engineering, University of Rome “Tor Vergata”
Co‑lecturer for Real and Complex Analysis
B.Sc. in Mathematics, University of Rome “Tor Vergata”
2022/2023
Lecturer for the first‑semester module of the annual course Geometry
B.Sc. in Media Science and Technology, University of Rome “Tor Vergata”
Lecturer for Geometry 3
B.Sc. in Mathematics, University of Rome “Tor Vergata”
2021/2022
Lecturer for the first‑semester module of the annual course Geometry
B.Sc. in Media Science and Technology, University of Rome “Tor Vergata”
Lecturer for Geometry 3
B.Sc. in Mathematics, University of Rome “Tor Vergata”
Co‑lecturer for Mathematics (34 hours)
B.Sc. in Biotechnology, University of Rome “Tor Vergata”
2020/2021
Lecturer for Geometry and Algebra
B.Sc. in Computer Science, University of Rome “Tor Vergata”
Lecturer for Geometry 3
B.Sc. in Mathematics, University of Rome “Tor Vergata”
2019/2020
Lecturer for Introduction to Differentiable Manifolds
M.Sc. in Mathematics, University of Rome “Tor Vergata”
Co‑lecturer for Mathematics 1 (32 hours)
B.Sc. in Applied Chemistry, University of Rome “Tor Vergata”
2018/2019
Lecturer for Introduction to Differentiable Manifolds
M.Sc. in Mathematics, University of Rome “Tor Vergata”
2017/2018
Co‑lecturer for Linear Algebra and Geometry (42 hours)
B.Sc. in Engineering Sciences, University of Rome “Tor Vergata”
Lecturer for Complex Geometry
M.Sc. in Mathematics, University of Rome “Tor Vergata”
2016/2017
Lecturer for Complex Geometry
M.Sc. in Mathematics, University of Rome “Tor Vergata”
Lecturer for Mathematics 0 (preparatory course, 20 hours)
University of Rome “Tor Vergata”
2013/2014
Tutor for Linear Algebra
B.Sc. in Engineering, University of Rome “Tor Vergata”