Foto del docente

Mirella Manaresi

Full Professor

Department of Mathematics

Academic discipline: MAT/03 Geometry

Curriculum vitae

5.11.1952    Born in Conselice (Ravenna, Italy).
1971    Certificate of Scientific Maturity in Imola (Bologna, Italy).
15.9.74 - 1.7.75    Fellowship of Italian National Council of Research (CNR) at the University of Bologna.
1.7.1975    Laurea in Matematica (Degree in Mathematics) cum laude at the University of Bologna.
1.7.75 - 14.9.75    Fellowship of CNR at the University of Bologna.
1.10.75-30.9.78    Research Fellowship of CNR at the University of Bologna.
22.12.1976    Diploma di Perfezionamento in "Teoria e applicazione delle macchine calcolatrici." at the University of Bologna.
24.2.1978    Diploma di Perfezionamento in "Matematiche elementari dal punto di vista superiore." at the University of Bologna.
1.11.78 -19.2.85 Professor (not in permanent position) at the Faculty of Science of the University of Bologna.
1.11.79-30.10.81 Lecturer in the Corso di Perfezionamento in "Matematiche elementari dal punto di vista superiore." at the Faculty of Science of the University of Bologna.
from 1980     Reviewer of "Mathematical Reviews".
1.8.80 - 19.2.85    Researcher in permanent position at the Faculty of Science of the University of Bologna.
1.5.81 - 30.9.81    Visit to the Math. Institute of the University of Münster (RFT) with financial support of the University of Münster.
15.6.82 - 31.7.82 / 1.9.82 - 15.10.82   Visit to the Math. Institute of the University of München (RFT), with a fellowship of the "Deutscher Akademischer Austauschdienst".
1.9.84 -31.10.84     Visit to the Math. Institute of the University of Munich (RFT), with a fellowship of the "Deutscher Akademischer Austauschdienst".
20.2.85 - 9.3.87    Associate Professor of Geometry at the Faculty of Science of the University of Bologna.
11.3.85-29.3.85     Visit to the Banach Center of Warrsaw during the "Semester on Singularities".
1.9.85 - 30.9.85    Visit to the Math. Institute of the University of München (RFT).
20.8.86-20.11.86  Visit to the Math. Institute of the University of München (RFT), with a fellowship of the CNR.
10.3.87-31.10.90 Full Professor of Geometry at the Faculty of Science of the University of Salerno.
15.4.87-31.10.90 Professore supplente at the Faculty of Science of the University of  Bologna.
7.11.89-31.10.90 Presidente del C.d.C.d.L. in Matematica at the Faculty of Science of the University of Salerno.
from 1.11.1990    Full Professor of Geometry at the Faculty of Science of the University of Bologna.
1991/92-1992/93    Lectures for the Ph.D. students in Mathematics at the University of  Bologna.
1994/95     Lectures on "Computer algebra methods for robotics" for the Ph.D. students in Mechanics of Structures (Faculty of Engeneering).
July 1993    Visiting at M.R.S.I. (Berkeley, USA).
September 1993    Visiting at Utrecht University (The Netherlands)
April and October 1995   Visiting at the  Sonderforschungsbereich of the University of Göttingen
1995/96, 1996/97, 1997/98, 1998/99, 1999-2000 Lectures for the "Corso di Perfezionamento in Didattica della Matematica".
1997/98, 1998/99, 1999-2000     Lectures for the "Corso di Perfezionamento in Matematica per le applicazioni".
1.11.96 -31.10.2002    Director of the Department of Mathematics of the Univerity of Bologna
2000    Responsible of a project on popularization of Mathematics at the University of Bologna
 http://www.dm.unibo.it/convegni/bologna2000/
from 1996  - Visiting at the University of Bochum (several short periods up to one month)
1.1.1999-31.10.2002    Member of the Accademic Senate of the University of Bologna
2002/2004     Director of the “Master in Matematica per le Applicazioni”
2002/2005    Responsible of an European Project on popularization of Mathematics http://www.dm.unibo.it/socrates/
From Autumn 2010 Local Responsible of PLS Mathematics and Statistics
- Responsible of research programs in algebraic geometry.
- Courses taught in Bologna:  Differential Geometry, Geometry I,  Geometry II, Geometry III, Abstract Algebra, Topics in Algebraic Geometry, Computational Algebra, Topology,  Galois Theory, Geometric Methods for Applications, Commutative Algebra
- Courses taught in Salerno: Geometria for students in Computer Science, Geometria Superiore.
- Advisor of many undergraduate theses on subjects in Algebra and Geometry

Publications 

[1]    M.Manaresi: Una questione sull'assiomatica dei piani finiti.   Atti  Acc. Scienze Lettere e Arti di Palermo, serie IV, XXXIV (1974-75), 329-338.
[2]    M.Manaresi: Una caratterizzazione della seminormalizzazione.   Boll. Un. Mat. Ital. (5), 15-A (l978), 205-213.
[3]    F.Desalvo, M.Manaresi: On birational coverings. Geometriae Dedicata 9 (1980), 255-265.
[4]    M.Manaresi: Some properties of weakly normal varieties.   Nagoya  Math. J. 77 (1980), 61-74.
[5]    M.Idà, M.Manaresi: On the branches of a complex space. J. Reine Angew. Math. (Crelles Journal) 321 (1981), 173-178.
[6]    C.Cumino, M.Manaresi: On the singularities of weakly normal varieties. Manuscripta Math. 33 (1981), 283-313.
[7]    C.Cumino - S.Greco - M.Manaresi: Normalité faible et sections hyperplanes. C.R. Acad. Sc. Paris 293, serie I (1981), 689-692.
[8]    M.Manaresi: Sard and Bertini type theorems for complex spaces.   Ann. Mat. Pura e Appl. (IV) CXXXI (1982), 265-279.
[9]    M.Idà - M.Manaresi: Some remarks on normal flatness and multiplicity in complex spaces. "Commutative Algebra: Proceedings of the Trento Conference."  Lect. Notes in Pure and Applied Math. n. 84, 171-182, Marcel Dekker (1983).
[10]    C.Cumino - S.Greco - M.Manaresi: Bertini theorems for weak normality. Compositio Math. 48 (1983), 351-362.
[11]    M.Manaresi: Strutture nilpotenti di molteplicità due su curve singolari.   Seminari di Geometria  1982/83, 125-133, Bologna 1984.
[12]    M.Manaresi: Double structures on locally complete intersections.   Boll. Un. Mat. Ital., serie VI, 3-D, n. 1 (1984) 131-139.
[13]    M.Manaresi: Families of homogeneous vector bundles on P2.  J. Pure and Applied Algebra. 35 (1985) 297-304.
[14]    C.Cumino - S.Greco - M.Manaresi: An axiomatic approach to the second theorem of Bertini. J. of Algebra 98, n. 1 (1986) 171-182.
[15]    M.Manaresi: Some almost homogeneous structures on P2 xP2.   Tsukuba J. Math. 10, n. 2 (1986) 255-262.
[16]    M.Manaresi: Permanence of local properties under hyperplane sections. "Singularities."  Banach Center Publ. n. 20, 291-297; PWN-Polish Scientific Publishers, Warsaw 1988.
[17]    M.Ida', M.Manaresi: Rank two vector bundles on Pn uniform with respect to some rational curves. Archiv der Math. 51 (1988) 266-273.
[18]    M.Manaresi: Ruled threefolds homeomorphic to P2 xP1 and their divisors.   Geometriae Dedicata 31 (1989) 1-17.
[19]    C.Cumino - S.Greco - M.Manaresi: Hyperplane sections of weakly normal varieties in positive characteristic. Proc. AMS 106 (1989) 37-42.
[20]    C.Cumino - S.Greco - M.Manaresi: Linear systems on weakly normal varieties (in positive characteristic).  J. of Algebra 128 (1990) 488-496.
[21]    M.Manaresi: On the jumping conics of a semistable rank two vector bundle on   P2.  Manuscripta Math. 69 (1990) 133-151.
[22]   R.Achilles , M.Manaresi: "Algebra Commutativa e Geometria Algebrica" (volume in onore di P.Salmon), Rend. Sem. Matem. Univ. Politec. Torino 48, 4 (1990),  539-552.
[23]    R.Achilles , M.Manaresi: Analytic spread of an ideal and Stückrad-Vogel intersection cycle. Seminari di Geometria 1988-1991, 9-20, Bologna 1991.
[24] R.Achilles , M.Manaresi: An algebraic characterization of distinguished varieties of intersection.   Revue Roumaine Math. Pures Appl. 38 (1993) n.7-8, 569-578.
[25]    R.Achilles , M.Manaresi: Multiplicity for ideals of maximal analytic spread and intersection theory .  J. Math. Kyoto Univ. 33 (1993), 1029-1046. b
[26]    R.Achilles , M.Manaresi: Analytic deviation of ideals and intersection theory of analytic spaces.  Manuscripta Math. 80 (1993), 291-308.
[27]    H.Flenner, M.Manaresi: Intersections of projective varieties and generic projectionsManuscripta Math. 92, 273-286 (1997
 [28]    R.Achilles, M.Manaresi: Multiplicities of bigraded rings and intersection theory.   (con R. Achilles) Math. Ann. 309,  n. 4, 573-591 (1997)
[29]    R.Achilles , M.Manaresi: A footnote to a result of Strurmfels-Trung-Vogel on the effective Nullstellensatz.  (con R. Achilles) An Univ. Ovidius Constanta Ser. Mat. 5 (1997), 1-7.
[30]    H.Flenner, M.Manaresi: Variation of the ramification loci of generic projections. Math. Nachr. 194 (1998), 79-92
[31] H.Flenner, M.Manaresi: Equimultiplicity and equidimensionality of normal cones  Recent Progress in  Intersection Theory, 199-215, Birkhäuser, Boston (2000)
[32]    H.Flenner - M.Manaresi: A numerical characterization of reduction ideals   Math. Zeitschrift  238 (2001), 205-214.
[33]    H.Flenner - M.Manaresi:  A length formula for the multiplicity of distinguished components of intersections    J. Pure and Applied Algebra 165 (2001) 155-168.
 [34]    R.Achilles - M.Manaresi:  Self-intersection of surfaces and Whitney stratifications.    Proc. Edinb. Math. Soc. (2) 46 (2003), no. 3, 545-559.
 [35]    H.Flenner - M.Manaresi:  A note on generic projections  Math. Zeitschrift  246 (2004), 619-623.
[36]  R.Achilles, M.Manaresi: Generalized Samuel multiplicities and applications. Rend. Sem. Mat. Univ. Pol. Torino 64 (2006), no. 4, 345-372.
[37]  R.Achilles – P.Schenzel -  M.Manaresi: On the self-intersection cycle of surfaces and some classical formulas for their secant varieties. Forum Math. 23 (2011), 933 - 960.
[38] R. Achilles, M.Manaresi: Computing the number of apparent double points of a surface. Rend. Sem. Mat. Univ. Pol. Torino 71 (2013), no. 4, 277-306.

[39] R.Achilles – P.Schenzel - M.Manaresi: On the self-intersection cycle of projective curves and some classical formulas for their secant varieties. Proc. Edinb. Math. Soc. 57 (2014), no. 3, 305-322.

[40] R.Achilles –M.Manaresi – T.Pruschke: Mixed Multiplicities, Segre Numbers and Segre Classes. J. Algebra 525 (2019), 390-415

[41] R. Achilles, M.Manaresi.: Generalized Samuel Multiplicities of Monomial Ideals and Volumes Expermental Mathematiscs 2019, pp 1-10 on line first.

[42] M.Manaresi “Grete Hermann and effective methods in geometry From Agnesi to Mirzakhani”, Faces of Geometry, Lect. Notes in Networks and Systems, Vol. 172 (Chapter 17), pp. 223-241 Paola Magnaghi-Delfino et al. (Eds): Springer Verlag 2021.


Books (Editor)

[43]    M.Emmer, M.Manaresi (Editors): "Matematica, Arte, Tecnologia, Cinema", Springer-Verlag Italia, Milano, 2002, pp. 1-285
[44]    M.Emmer, M.Manaresi (Editors): "Mathematics, Art, Technology and Cinema", Springer-Verlag, Berlin-Heidelberg, 2003, pp. 1-285
[45] M.Manaresi (a cura di): Matematica e cultura in Europa (con DVD a cura di M.Di Girolamie C.Valentini), Springer Italia, Milano 2005.
[46] M.Manaresi (editor): Mathematics and Culture in Europe (with DVD edited by M.Di Girolami- E.Lauretani - C.Valentini), Springer Verlag Heidelberg 2007.

Seminar notes and communications

[47] M.Manaresi, R.Musti:Appunti del corso di Istituzioni di Geometria Superiore. Capp. I e II. Bologna 1977.

[48] Fibrati olomorfi sui tori. Note di un ciclo di seminari del prof. O.Forster, redatte con M.Idà. Seminario di Variabili Complesse 1981, 85-149, Bologna 1982.

[49] Singolarità e sezioni iperpiane delle varietà seminormali e debolmente normali. Seminario di Variabili Complesse 1981, 193-207, Bologna 1982.

[50] C.Cumino, M.Manaresi: Sulle singolarità delle varietà debolmente normali Atti del Convegno di Geometria Algebrica di Bressanone 1979; 12-15.

[51] C.Cumino, M.Manaresi: Alcune osservazioni sulle singolarità delle varietà debolmente normali. Atti XI Congresso UMI; Ed. Edigraphica Sud Europa, Palermo 1979; 213-214.

[52] M.Idà, M.Manaresi: Alcune osservazioni sui rami di uno spazio analitico complesso. Atti XI Congresso UMI; Ed. Edigraphica Sud Europa, Palermo 1979; 218-219.

[53] M.Manaresi: Varietà rigate omeomorfe a P2 xP1. Seminari di Geometria 1984, 155-161, Bologna 1985.

[54] C.Cumino, S.Greco, M.Manaresi: Varietà algebriche debolmente normali e teoremi di Bertini. Rend.Sem. Mat. Fis. Milano LVII (Atti del Convegno di Geometria di Gargnano) (1987) 135-148.
[55] M.Manaresi, A.Vistoli: Alcune riflessioni su Fermat's Last Theorem. in Matematica e cultura in Europa. (pp. 267 - 272), Springer Italia, Milano 2005.

[56] M.Manaresi, A.Vistoli: A few reflections on Fermat's Last Theorem. in Mathematics and Culture in Europe (pp. 243-248), Springer-Verlag, Heidelberg 2007

[57] M.Manaresi: Il Piano Lauree Scientifiche Matematica e Statistica all'Università di Bologna: la formazione e le ricadute didattiche. In: B.D’Amore e S.Sbaragli (a cura di) “Un quarto di secolo al servizio della didattica della matematica.” p. 151-152, Bologna:Pitagora Editrice, 2011.

[58] R. Achilles, M.Manaresi: Intersection numbers and characters of algebraic curves and surfaces: theory and computation. In APLIMAT 2013, 12th Conference on Applied Mathematics (Bratislava, February 5-7, 2013) Book of Abstracts (a cura di M.Kováčová) p. 13-15, ISBN: 9788022738668.

[59] S.Benvenuti, A.Cattabriga, M.Manaresi, A.Pascucci: PLS per la formazione di futuri docenti e docenti in servizio: le esperienze del Dipartimento di Matematica dell’Università di Bologna Atti del Convegno GEO Professione insegnante: quali strategie per la formazione? Napoli 2020 (to appear)

[60] M. Manaresi: Numeri primi e crittografia, Maestri Rai 3 Cultura, puntata del 24.6.2020.