Curriculum Vitae of Dr. Luca Goldoni PhD.

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1 Curriculum Vitae of Dr. Luca Goldoni PhD. Generalities Generalities Natural languages Programming languages Operative Systems and specific software I was born in Modena (Italy) in March 1962, my citizenship is Italian and I am married with one child. Italian (mother tongue), English (spoken, read, written), German (spoken, read, written), French (read), Indonesian (spoken) HTML, LaTeX, TeX; Basic, Pascal, Flash. Windows 9*/200*/NT/, Tools: ACD, Acrobat, Mathematica, MS Office, Adobe Photoshop, PARI/GP, DERIVE, Geogebra, Cabri 2D and 3D, The Geometer Sketchpad, Matlab. EDUCATION PhD in Mathematics held in 2010 at University of Trento with thesis Prime Numbers and Polynomials under supervision of Professor Alberto Perelli (University of Genova). 1-year Postgraduate Studentship (Indam) at University of Modena, Mathematical Physics Research Group. Laurea in Mathematics (MSc) held in 1986 (summa cum laude) at University of Modena with thesis Regioni di convergenza per l effetto AC Stark per l atomo di Idrogeno Advisor: Professor Vincenzo Grecchi.

2 Maturità scientifica (High school Title) held in 1981 with full marks at A.Tassoni Lyceum, Modena. FURTHER STUDIES Introduction to Complexity, Santa Fe Institute's MOOC Introduction to Dynamical Systems and Chaos, Santa Fe Institute's MOOC Social and Economic Networks: Models and Analysis, Stanford University MOOC 2014 Networked Life, University of Pennsylvania MOOC 2015 Nonlinear Dynamics: Mathematical and Computational Approaches, Santa Fe Institute's MOOC RESEARCH AND PROFESSIONAL POSITIONS present Lecturer at University of Trento, Italy and Lecturer at University of Modena, Italy Lecturer at University of Trento, Italy PhD Student in Mathematics at University of Trento, Italy Teacher at Liceo Scientifico A.F.Formiggini Sassuolo, Italy Temporary teaching position Liceo A.F.Formiggini Sassuolo,Italy Details about Academic Positions Academic Year Teaching assistant of Mathematical Analysis II-Civil Engineering Dpt. -University of Modena. Academic Year Teaching assistant of Mathematical Analysis II-Civil Engineering Dpt.-University of Modena. Academic Year Teaching assistant of Mathematical Analysis II-Civil Engineering Dpt.-University of Modena.

3 Academic Year Lecturer of Mathematical Analysis IV-Mathematics Dpt- University of Trento. Academic Year Lecturer of Foundations of Mathematical Analysis -Mathematics Dpt-University of Trento. Academic Year Lecturer of Complex Analysis -Mathematics Dpt-University of Trento. Academic Year Lecturer of Discrete Mathematics I, Computer Science Academic Year Lecturer of Discrete Mathematics I, Computer Science Academic Year Lecturer of Elementary mathematics from Higher Standpoint I, Mathematics Dpt-University of Trento. Academic Year Lecturer of Discrete Mathematics I, Computer Science Academic Year Lecturer of Elementary mathematics from Higher Standpoint I, Mathematics Dpt-University of Trento. Academic Year Lecturer of Discrete Mathematics I, Computer Science Academic Year Lecturer of Elementary mathematics from Higher Standpoint I, Mathematics Dpt-University of Trento. Academic Year Lecturer of Mathematical Analysis II-Electronic Engineering Dpt. - University of Modena. Academic Year Lecturer of Introductory Mathematics-Electronic Engineering Dpt. - University of Modena. Academic Year Lecturer of Discrete Mathematics I, Computer Science Academic Year Lecturer of Elementary mathematics from Higher Standpoint I, Mathematics Dpt-University of Trento. Academic Year Lecturer of Foundations of Geometry, Mathematics Dpt- University of Trento. Academic Year Lecturer Mathematical Analysis II Military Academy of Modena. Academic Year Lecturer of Introductory Mathematics-Electronic Engineering Dpt. -University of Modena. Academic Year Lecturer of Linear Algebra and Geometry Computer Science Academic Year Lecturer Mathematical Analysis II Military Academy of Italian Army-Modena. Academic Year Lecturer of Introductory Mathematics-Electronic Engineering Dpt. -University of Modena. Academic Year Lecturer of Linear Algebra and Geometry Computer Science Academic Year Lecturer of Mathematical Analysis II-Electronic Engineering Dpt. - University of Modena. Academic Year Lecturer Mathematical Analysis II Military Academy of Italian Army-Modena. Academic Year Lecturer of Introductory Mathematics-Electronic Engineering Dpt. -University of Modena. Academic Year Lecturer of Linear Algebra and Geometry Computer Science

4 Academic Year Lecturer of Mathematical Analysis II-Electronic Engineering Dpt. - University of Modena. Academic Year Lecturer Mathematical Analysis II Military Academy of Italian Army-Modena. Academic Year Lecturer of Introductory Mathematics-Electronic Engineering Dpt. -University of Modena. Academic Year Lecturer of Linear Algebra and Geometry Computer Science Academic Year Lecturer of Mathematical Analysis II-Electronic Engineering Dpt. -University of Modena. Academic Year Lecturer Mathematical Analysis II Military Academy of Italian Army-Modena. RESEARCH AND PROFESSIONAL INTEREST Analytic Number Theory Elementary Number Theory. Complex Analysis Elementary Mathematics from Higher Standpoint. History of Mathematics Use of Mathematica and Geogebra in Academic Teaching. Publications and preprint 1. Probability of convergence of perturbation theory for hydrogen photoionization. Journal of Mathematical Physics November Vol 28 Issue 11 pag (coauthored with E. Caliceti and S. Graffi). Download 2. A note on an additive property of primes. Download 3. A note on entire functions. Download 4. Looking for Stokes Theorem in an elementary trapezoid. Download 5. A theorem about limits with application to Maclaurin's polynomials of certain functions. Download 6. A test for divergence of certain series with positive terms. Download 7. On certain conditionally convergent series. Download 8. An inequality of Erdos reviseted. Download

5 9. A small trivia about monic polynomials of second degree with positive coefficients. Download 10. A note on some naive estimates of the factorial. Download 11. Una nota su un particolare tipo di equazione diofantea. Download 12. A generalization of Marion Walter's Theorem. Download 13. A very short note about a trigonometric inequality Download 14. A generalization of Wilker's inquality. Download 15. A note about a rationality problem. Download 16. A further note about a rationality problem. Download 17. A note about sparse squares polynomials. Download 18. Yet another proof of the divergence of the Harmonic series. Download 19. A proof (nearly) without words. Download 20. L'ultimo teorema di Fermat per le matrici. Download 21. Equazioni diofantee e matrici 1. Download 22. Equazioni diofantee e matrici 2. Download 23. Equazioni diofantee e matrici 3. Download 24. On some special alternating series. Download 25. On some special alternating series 2. Download 26. One more proof of the divergence of the Harmonic series. Download 27. A note on uniform and normal convergence. Download 28. Equazioni diofantee e matrici 4. Download 29. Equazioni diofantee e matrici 5. Download 30. Equazioni diofantee e matrici 6. Download 31. Equazioni diofantee e matrici 7. Download 32. Equazioni diofantee e matrici 8. Download 33. Equazioni diofantee e matrici 9. Download 34. La congettura di Catalan per le matrici. Download 35. L'equazione di Fermat con esponenti negativi e le matrici. Download 36. Equazione diofantea generalizzata omogenea di secondo grado. Download 37. A Candido's like identity. Download 38. Some proofs without words. Download 39. A nearly without words geometric proof about infinite series. Download 40. An inequality generalization. Download 41. A note on the Brochard-Ramanujan diophantine equation. Download 42. Giocando con i determinanti. Download 43. A note about angle division. Download 44. A further note about angle division. Download 45. A proof without words about telescopic series. Download 46. A proof without words about log(2). Download 47. On a double series. Download 48. On a type of non-leibniz alternating series. Download 49. A further note on a double series. Download 50. Improving the Root Test. Download 51. On non-absolutely convergent series with increasing blocks of constant sign. Download

6 Books: Esercizi e complementi di Analisi Complessa Aracne Editore -Roma- Italy which can be translated as Exercises and complements of Complex Analysis. Piccola raccolta di Teoremi del XX secolo con dimostrazioni elementari Aracne Editore, (in print) which can be translated as A small collection of theorems of XX century with elementary proofs Aracne Editore- Roma- Italy. Selected examples in Calculus of functions of several variables Aracne Editore -Roma- Italy. E-books 1. Un piccolissimo assaggio della Teoria di Ramsey ebook Lulu 2017 Online Publications 1. Esercizi e complementi di Analisi Matematica II (Italian) Others PhD Thesis : Prime Numbers and polynomials. (Eprints University of Trento) Partecipation in conferences, lectures, schools. Analytic Number Theory Workshop Parma, maggio 2008 Riemann International School of Mathematics: 150 Years of Riemann Hypothesis: Advances in Number Theory and Geomatry Verbania aprile 2009 Summer Doctoral School 2009 Università di Trento: Groebner bases, Geometric codes and Order Domains 8-13 June 2009.

7 Zeta Function Days in Seoul" 31 august-5 september 2009 Yonsei University Seoul (South Korea) Maine-Québec Number Theory Conference 3-4 october 2009 University of Maine (USA). Charming Pi Liceo Scientifico A.F Formiggini Sassuolo Italy. Invited Speaker. 14/03/2015 Infinity and Beyond Liceo Scientifico A.F Formiggini Sassuolo Italy. Invited Speaker. 19/03/2016 Others Co-advisor of the Msc. Thesis The last Fermat's Theorem:history and mathematical background University of Trento Academic Year (Italian). Co-advisor of the Msc. Thesis Equivalence and Equidecomposability University of Trento Academic Year (Italian). Co-Advisor of the Msc. Thesis Elementary number theory and innovative teaching of Mathematics in High School '' University of Trento Academic Year (english). Co-Advisor of the Msc. Thesis Axiomatic Method and and teaching of Mathematics in High School University of Trento Academic Year (Italian). Co-Advisor of the Msc. Thesis Unsolved problem in Number Theory (Italian). University of Trento Academic Year (Italian). Co-Advisor of the Msc. Thesis Da Euclide a Geogebra - Percorsi nella Geometria della Scuola Superiore" Autore Jasmin Clara ; Academic Year (Italian). Co-Advisor of the Msc. Thesis Il Gioco della Logica di Lewis Carroll: esperienza con i sillogismi a scuola". Autore Francesco Pirovano; Academic Year (Italian).

Curriculum Vitae. Personal informations: Name: Andrea Surname: Pinamonti Born: March 10, 1984 in Trento, Italy

Curriculum Vitae. Personal informations: Name: Andrea Surname: Pinamonti Born: March 10, 1984 in Trento, Italy Curriculum Vitae Personal informations: Name: Andrea Surname: Pinamonti Born: March 10, 1984 in Trento, Italy Research interests: Subriemannian geometry, Partial differential equations, Geometric measure