Curriculum Vitae

                                                                                                                    

Name: Giuseppe Di Maio                                                                                

Date of Birth: July 5,1946

Place of birth: Benevento, Italy

Sex: Male

Marital Status: Married

Citizenship: Italian

Languages: Italian, English

Address: Dipartimento di Matematica, Seconda Università degli Studi di Napoli, SUN,Via Vivaldi n° 43, 81100, Caserta, Italy

Telephone (Office) (0823) 274426, (telefax)(0823) 3274753

E-mail:giuseppe.dimaio@unina2.it

Present Position: Associate Professor of Topology (Mathematics), Second University of Naples (SUN), Faculty of Sciences, Caserta, Italy. Tutor of European project: Computer aided Music via Fractal Geometry.

Membership:

American Mathematical Society,

European Mathematical Society

Unione Matematica Italiana

Education: University of Naples Federico II, 1964-1969

Degree: Laurea in Matematica (Mathematics), 1969: Magna cum laude. Thesis in Algebraic Geometry.

Teaching experience: Teaching undergraduates and graduates: 1969 to present.

Courses of instruction: Dipartimento di Matematica "R. Caccioppoli", Via Cintia, Monte S. Angelo, 80126 Napoli; Dipartimento di Matematica, Sun; Via Vivaldi, 43; 81100, caserta, Italy.

Undergraduates: Descriptive Geometry, Linear Algebra, Geometry I, Geometry II, General topology.

Graduate Students: Topology, Hyperspaces, Function spaces, Fractal Geometry.

Number of Research papers published or accepted: 45 (see the attached list).

Number of Research Papers in preparation: 6 (see the attached list).

Fields of scientific interest: Category theory, General topology, Hyperspaces, Function spaces.

Editor: Quaderni di Matematica, Department of Mathematics, SUN

Professional experience:

    (8) 1996 - 2000: President of Curricula in mathematics, Faculty of Sciences, Second University of naples, located  in Caserta.

    (7) 1992- : Associate Professor of Topology, faculty of Sciences, Second University of Naples, located in Caserta

    (6)1989-1992: Associate Professor of Topology, faculty of Sciences, University of Naples Federico II

    (5) 1984-1992Tenured Associate Professor of Algebra and Geometry, Faculty of Sciences, University of Naples Federico II.

    (4)1974-1984 Professor without of Geometry, Faculty of Sciences, University of Naples Federico II

    (3)1972-1974: professor without tenure of Descriptive Geometry, Faculty of Architecture, University of Naples Federico II

    (2)1970-1984: Tenured assistant professor in geometry at Faculty of Sciences, University of  Naples

    (1)1969-1970: Assistant professor without tenure in Analitical Geomatry at Faculty of Engineering, University of Naples Federico II.

    (i) One term (Autumn 1980) at Memorial University (St. John's, Newfoundland, A1C 5S7 Newfoundland, Canada) as invited assistant professor, (Renzo A. Piccinini)

    (ii)Lakehead University (Thunder Bay, Ontario, P78 5E1 Canada): September-October 1987 and April 1988. Joint research project with Somashekhar S. Naimpally.

    (iii) Gent University in March 1992 (Erasmus Programme). Teaching Fractal Geometry to Ph. candidates.

Supervisor: Master Programme & PhD programme.

Tesi di "Laurea" in Mathematics, Faculty of Sciences, Naples University Federico II.

Italian "Laurea" can be compared to master Degree.

Meetings and Conferences

    Meetings and Conferences in Italy and Europe (almost every Conference in general topology since 1970). Selected Meetings (Prague toposym 1991,1997, Digione 1994, Gandia 1999, Trieste 1999 (invited speakers), Grado 2000. Papers delivered at every conference.

Professional experience

    Member of the National Committee (9 Professors elected and named by the Minister of University and Scientific Research) to select candidates for promotions to Associate Professor Position in the following field: Algebra & Geometry (A183-1986, A012-1990).

    President of the Organizing Committee of "IV Convegno di Topologia", an International Conference on Topology held in Sorrento, September 14-17, 1988.

    President of the Organizing Committee of "Function spaces, quasi-proximities and uniformities" Caserta, 14-18 September 2001.

    Director of Summer School in General Topology, Naples 14-21 July 1990

    Member of the Scientific Committe Summer School in 1992, 1993.

    Currently responsible of Research Unit, National Grant 40% "Topologia", University of Naples Federico II, University of Naples II, University of Salerno, University of Potenza, since 1983.

    I personally invited the following professors for joint research projects or seminars: R. Piccinini, P. Simon, J. Pelant, S. Dolecki, T. Noiri, F. Mercuri, S. Buoncristiano, G. Beer, A. Zaruela, Harry Poppe, S. Naimapally, L. Hola, R. McCoy.
L. Hola, J. Pelant, S. Naimapally were invited professors under C.N.R. Grants.

    I have been member of the Italian National Research Council (C.N.R.) since 1969.

    I have refeered for the following international journals: Ricerche di Matematica, Rendiconti di Matematica, Zbornik Radova, Real Analysis Exchange.

Reviewer for Mathematical Reviewer and Zentralblatt fur Mathematics.

Over the years I have given numerous seminars or colloquium talks on various topics in Mathematics. Some of the more recent were delivered in March 2000 with the following titles:

General interests : Philosophy, Classical Music, Sports and Contemporary History. Member (bass) of Polyphonic University Choir (M. Antonio Spagnolo) and Musici di Corte Ensemble (M. Pietro Di Lorenzo)

Pubblicazioni

1. Gruppidi in una categoria (con N. Melone), Ricerche di Mat. 23 (1973), 277-244
2. Nuclei nella categoria dei gruppidi associata ad una categoria astratta, (con N. Melone) Rendiconti Accademia Lincei 54 (1973), 528-537
3. Sulla complementazione nel reticolo delle T1 - topologie (con A. Russo), Rendiconto Accademia di Scienze M.F.N. in Napoli, 37 (1980), 199-204.
4. Sul reticolo delle topologie e certi suoi sottoreticoli ( con A. Russo), Ricerche di Matematica, 30 (1981), 133-144.
5. Alcune proprieta'  reticolari delle T1a'¥- topologie e di una loro generalizzazione (con A. Russo), Rendiconto Accademia di Scienze M.F.N. in Napoli, 38 (1982), 565-573.
6. Reticolo delle T1- topologie meno fini di un'assegnata topologia e T1- complementazione in esso (con A .Russo), Rendiconti di Matematica, 16 (1983), 775-786.
7. Coatomi ed invarianti cardinali in reticoli di T1 - topologie . Relazioni di equivalenza nel reticolo delle topologie (con A. Russo), Rendiconti di Matematica, 5 (1985), 57-69.
8. Su alcune topologie degli spazi di funzioni, con particolare riguardo alla topologia di Whitney (con A. Di Concilio and A. Russo), Rendiconto Accademia Scienze M.F.N. in Napoli, 39 (1982), 9-16.
9. Alcune osservazioni su di una classe di assiomi di separazione pia'¹ deboli di T1, (con G. De Simone), Rendiconto Accademia Scienze M.F.N .in Napoli, 40 (1982/83), 143-154.
10. Remarks on locally bounded spaces, Rendiconti di Matematica, 16 (1983), 249-252.
11. Topologies on the set of all closed subsets of a topological spaces, Rendiconti di Matematica, (1984),445-455.
12. S- closed spaces , S- sets and S- continuous functions, Atti Accademia Torino, 118 (1984), 127-134.
13. Connected irresorvable Hausdorff spaces and compact finite Hausdorff spaces via open ultrafilters (con A. Russo), Atti Accademia Torino, 119 (1985), 211-222.
14. Bitopological H-closedness and S-closedness , Atti II Convegno di Topologia, Rendiconti Circolo Matematico di Palermo, 12 (1986), 231-243.
15. On semitopological operators and semi separation axioms , Ibidem, 219-230
16. A separation axiom weaker than Ro , Indian J. of pure and applied Math., 16 (1985), 373-375.
17. Remarks on two weak forms of connectedness in bitopological spaces (con T. Noiri), Bulletin of the Institute of Mathematics, Academia Sinica , 16 (1988) , 135-147.
18. Weak and strong forms of irresolute functions (con T. Noiri), III Convegno di Topologia, Rendiconti Circolo Matematico di Palermo, 18 (1988), 255-276.
19. Properties of α - compact spaces (con T. Noiri), ibidem, 359-370.
20. On s- closed spaces (con T. Noiri), Indian J. of pure and applied Mathematics, 18 (1987), 226-233.
21. Proximity extensions (con S. Naimpally), J . Nat. Phis. Sci. 1 (1987), 64-66.
22. Nearly compact open hypertopology (con S. A. Naimpally), Atti Accademia Torino, 122, (1988) , 164-169.
23. Multifunctions and Blumberg sets : a proximity approach (con S. A. Naimpally), Rend. di Trieste 20 (1988), 235-239.
24. Preservation of generalized continuity (con S. A. Naimpally), J . Nat. Phis. Sci. 3 (1989), 90-104.
25. D- proximity spaces (con S. A. Naimpally), Czech. Math. J. 41 (116) , (1991) , 232-248.
26. Remarks on some generalizations of completely regular spaces (con S. A. Naimpally and C. M. Pareek), Rend. Circ. Mat. Palermo 24 (1990), 235-239.
27. A general approach to symmetric proximities (con S. A. Naimpally), ibidem, 51-71.
28. A class of D -proximities (con S. A. Naimpally), Ricerche di Mat. 38, (1989), 273 - 282.
29. Abstract measure of oscillation and extensions of functions (con S.A. Naimpally), Rivista di Mat. Pura ed app., 8 (1991), 75 - 81.
30. Abstract measure of farness and hypertopology (con A. Bella, S. A. Naimpally), Rendiconti Circ. Mat. Palermo 29 (1992) 329 - 337.
31. The locally finite hypertopology and generalized uniformities (con S. A. Naimpally), Zbornik Radova 5 (1991), 113- 116.
32. Abstract measure of farness and Wijsman convergence, (con S. A. Naimpally), Zbornik Radova 5 (1991), 109-112 .
33. Comparison of hypertopologies , (con S. A. Naimpally), Rendiconti di Trieste, 22 (1990),140-161
34. Proximal graph topologies, (con S. A. Naimpally), Questions and answers in general topology, 10 (1992), 97-125.
35. Hypertopologies on function spaces, (con L. Hola), Rend.Circ. Mat.Palermo, 43 (1994), 83-97.
36. On hit-and miss topologies, (con L. Hola), Rendiconto Accademia Scienze M.F.N .in Napoli, LXII (1995) , 103-124.
37. On the Attouch-Wets topology on function spaces, (con L. Hola e D. Holy), Boll.U.M.I                     (7) 9-A (1995), 259-272.
38. Wijsman topology on function spaces, (with L. Hola), Rendiconti Circolo Matematico di Palermo, XLVI (1997), 52-70.
39. A hypertopology determined by the family of totally bounded sets is the infimum of upper Wijsman topologies, (with L. Hola), Questions and Answers in General Topology, 15 (1997), 51-66.
40. Topologies on the space of continuous functions, (with L. Hola, D. Holy, R. McCoy), Topology and its Applications, 86 (1998), 105-122.
41. A characterization of locally compact spaces by epiconvergence and convergence in epitopology, (with L. Hola, D. Holy) , Questions and Answers in General Topology, 20 (1997), 245-257.
42. Notes on hit-and miss topologies ; (with L. Hola, E. Meccariello), Rostock. Math. Kolloq. 52, (1998), 19-32.
43. Comparison among Wijsman topology and other hypertopologies (with D. Holy), Atti Modena, 48 (2000),121-133.
44. Properties related to first countability of hyperspace topologies (with L. Hola and J. Pelant), Preprint Dipartimento di Matematica, SUN. submitted.
45. Some notes on hyperspace topologies (with S. Naimpally), Preprint Dipartimento di Matematica, SUN. accettato su Ricerche di Matematica;
46. Wijsman topology, (with E. Meccariello), Quaderni di Matematica, 3 (1998), 55-91.
47. Proximal Approach Spaces : Gapcizing proximities; (with S. Naimpally, R. Lowen,M. Sioen), Preliminary report.
48. Some compactness properties in hyperspaces: a new approach (with L. Hola, E. Meccariello), submitted.
49. Graph topologies on closed multifunctions, ( with S. Naimpally and E. Meccariello) Preprint SUN.
50. Uniformizing Δ proximal topologies, ( with S. Naimpally and E. Meccariello) in preparation.
51. Normal Vietoris implies compactness: a short proof ( with S. Naimpally and E. Meccariello), Preprint SUN.

 

 

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