Materiale didattico per Analisi Matematica 1

Teoria: File 1  File 2  File 3  File 4 

Esercizi: File 5 

Annuncio: la lezione pomeridiana dell'8 ottobre 2025 è annullata.

Universitas Mercatorum, Piazza Mattei 10, ROMA, ITALY                                                                                           

Employment

Associate Professor of Mathematics at Universitas Mercatorum (05/2025 - .... )

Associate Professor of Mathematics at eCampus University (12/2024 - 05/2025)

High School Teacher (09/2023 - 06/2024; 09/2024 - 11/2024), Rome

Associate Professor of Mathematics at the Alma Mater Studiorum University of Bologna (09/2021 - 09/2022)

Associate Professor of Mathematics at KAIST (09/2017 - 08/2021)

Assistant Professor of Mathematics at KAIST (09/2013 - 08/2017)

Assistant Professor of Mathematics at Korea University (09/2012 - 08/2013)

Research fellow at KIAS (09/2010 - 08/2012)

Post-doc CNRS at Université de Tours (12/2009 - 08/2010)

Invited Researcher at Universidad Complutense de Madrid (09/2009 - 11/2009)

ATER at the Université Paris Est Marne-la-Vallée (09/2007 - 08/2009)

Abilitazione Scientifica Nazionale, Professore di Seconda Fascia

Settore concorsuale Analisi Matematica Probabilita' e Statistica Matematica

IBAN:  IT30T  02008  02461 00010  33096  31

Publications (available online) 

1. Index and nullity of the Gauss map of the Costa-Hoffman-Meeks surface, Indiana University Mathematics Journal, Vol. 58, 2, 2009, 677-707.

2. An end-to-end construction for singly periodic minimal surfaces, with L.H., M,R., Pacific Journal of Mathematics, Vol. 241, No. 1, 2009,  1-61.

3. About a family of deformations of the Costa-Hoffman-Meeks surfaces,  Bulletin of the Brazilian Mathematical Society, Vol. 40(3), 2009, 433-454.

4.  A Costa-Hoffman-Meeks type surface in H^2 x R, Transactions of the American Mathematical Society, Vol. 363, No. 1, 2011, 1-36.

5. Saddle Towers and minimal k-noids in H^2 x R, with M.R., Journal de l'Institut de Mathematiques de Jussieu, vol. 11 (2), 2012, 333-349.

6. Non-periodic Riemann examples with handles, with M.T., Advances in Mathematics, 229, 2012, 26-53.

7. Classification of special rotational Weingarten surfaces of minimal type in S^2 x R and H^2 x R, with M.R., Mathematische Zeitschrift, 273, 379-399, 2013.

8. Height estimate for special Weingarten surfaces in M^2(c) x R, Proceedings of the American Mathematical Society, Series B, 1, 14-22, 2014.

9. Higher genus capillary surfaces in the unit ball of R^3, Boundary Value Problems, 130, 2014.

10. Radial and non-radial solutions to an elliptic problem on annular domains in Riemannian manifolds with radial symmetry, Journal of Differential Equations, 258, 1461-1493, 2015.

11. Singly periodic free boundary minimal surfaces in a solid cylinder of R^3, Discrete Continuous Dynamical Systems, Series A, 35, n. 10, 4987-5001, 2015.

12. Delaunay type domains for an overdetermined elliptic problem in S^n x R and H^n x R, with P. S., ESAIM Control, Optimisation and Calculus of Variations, 22, n. 1, 1-28, 2016.

13. Free boundary surfaces and saddle tower minimal surfaces in S^2 x R, Journal of Mathematical Analysis and Applications, 443, 478-525, 2016.

14. Asymptotically radial solutions to an elliptic problem on expanding annular domains in Riemannian manifolds with radial symmetry, Boundary Value Problems, 124, 2016.

15. Symmetry breaking bifurcations for an overdetermined boundary value problem on an exterior domain issued from electrodynamics,  Nonlinear Analysis, 158, 1-22, 2017.

16. Towering phenomena for the Yamabe equation on symmetric manifolds, with A. P., G. V., Potential Analysis, 47, n. 1, 53-102, 2017.

17. Bounded and unbounded capillary surfaces derived from the catenoid, Discrete Continuous Dynamical Systems, Series A, 38 n.2, 589-614, 2018.

18. Singly periodic free boundary minimal surfaces in a solid cylinder of H^2 x R, Nonlinear Analysis, 171, 208-237, 2018.

19. Periodic minimal surfaces embedded in R^3 derived from the singly periodic Scherk minimal surface, Communications in Contemporary Mathematics, 22, 1, 2020, 1850075.

20. Symmetry breaking bifurcations for two overdetermined boundary value problems with non-constant Neumann condition on exterior domains in R^3, Communications in Partial Differential Equations, 46, 6, 1137-1161, 2021.

21. Serrin’s Overdetermined Problem on S^N x R, Journal of Geometric Analysis, 33, art. 327, 2023.

22. Smooth 1-Parameter Family of Delaunay-Type Domains for an Overdetermined Elliptic Problem in S^N x R and H^N x R, with G. D., P. S., Potential Analysis, Volume 60, 1407-1420, 2024.

23.  Bifurcation for an overdetermined boundary value problem in the complement of a ball in R^N, with G.D.,  F.L., Mathematische Zeitschrift, 310, 81, 2025. 

Teaching

At Université Paris-Est (in French)

2007/08, Linear Algebra, Analysis 2, Calculus and integration;

2008/09, Calculus in Banach spaces, Introduction to mathematical thinking, Linear Algebra.

At Korea University

2012, Fall semester: Calculus I, Differential Geometry (Graduate and Doctoral students);

2013, Spring semester: Ordinary differential equations, Riemannian Geometry (Graduate and Doctoral students).

At KAIST

2013, Fall semester: Combinatorial Topology, Complex Function Theory (Graduate);

2014, Spring semester: Calculus I, Riemannian Geometry (Graduate and Doctoral students);

2014, Fall semester: Calculus II, Differential Geometry (Graduate);

2015, Spring semester: Calculus I, Analysis on Manifolds;

2015, Summer semester: Individual study course;

2015, Fall semester: Differential Geometry (Graduate);

2016, Spring semester: Matrix Groups, Riemannian Geometry (Graduate and Doctoral students);

2016, Summer semester: Individual study course;

2016, Fall semester: Differential Geometry (Graduate);

2016, Fall semester: Individual study course;

2017, Spring semester: Calculus I, Analysis on Manifolds;

2017, Fall semester: Differential Geometry (Graduate);

2018, Spring semester: Differential Equations and Applications;

2018, Fall semester: Introduction to Differential Geometry, Differential Geometry (Graduate);

2018, Winter semester: Individual study course;

2019, Spring semester: Differential Equations and Applications;

2020, Fall semester: Calculus II, Introduction to Differential Geometry;

2021, Spring semester: Riemannian Geometry (Graduate and Doctoral students).

At the University of Bologna

2021, Fall semester: Mathematical Analysis 1;

2022, Spring semester: Mathematical Analysis 2 (module 2).

Analisi Matematica 1,  Analisi Matematica 2

At  eCampus University

2025,  Mathematical Analysis.

At Universitas Mercatorum

2025,  Mathematical Analysis 2.

Trips

Differential Equations and Biology, Université Le Havre Normandie, Le Havre, France, June 16th - 20th,  2025.

Topics in Geometric Analysis, Scuola Normale Superiore, Pisa, Italy, June 23rd,  2025 (poster presentation).

Differential Geometry @ L'Aquila, Università dell'Aquila, L' Aquila, July 2nd - 3rd, 2025.

Geometry and Gravity, SISSA, Trieste, July 15th - 17th, 2025.

15th ISAAC Congress (PDEs), Nazarbayev University, Astana, Kazakhstan, July 21st-23rd, 2025 (Talk).

Videos

Survey talk: Cmc surfaces and overdetermined elliptic problems, March 2014.

Workshop talk: On a family of complete embedded minimal surfaces in R^3 with infinitely many horizontal planar ends, July 2010.

Video lectures: Riemannian Geometry (youtube channel).

Slides

Bifurcation for an overdetermined boundary value problem in the complement of a ball in R^N, 15th ISAAC Congress, Nazarbayev University, Astana, Kazakhstan, July 2025.

Three surprising identities:

2025 = (1+2+3+4+5+6+7+8+9)^2   !

2025 = 1^3 + 2^3 + 3^3 + 4^3 + 5^3  + 6^3 + 7^3 + 8^3 + 9^3    !

2016=1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+

33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+55+56+57+58+59+60+61+62+63  !

Via Ravagnese 114, Reggio Calabria:

Google maps

Ground floor: 2 persons 

First floor: 2 persons

Second floor: 6 persons (my brother and his family)

La Costituzione - Articolo 18 | Senato della Repubblica 

Who turned it on ?  How long does it take to turn it off ?  It has been turned on in 2022. Why nobody investigates the consequences of listening to the radio on human health (in particular brain health) ? Cooked up  by CIA ?

October 3rd, 2025

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