CURRICULUM VITAE Maria Evelina Rossi Address: Dipartimento di Matematica Universita di Genova Via Dodecaneso 35 I-16146 Genova, Italy rossim@dima.unige.it Positions: Full Professor Universita di Genova 2000 - present Associate Professor Universita di Genova 1988-1999 Associate Professor Universita di Torino 1987-1988 Researcher Universita di Genova 1981-1987 Research Interests: Primary: Secondary: Commutative Algebra Algebraic Geometry, Homological Algebra and Computational Algebra Research Grants: CNR-grant for young researchers (1978-1981) GNSAGA, CNR, MPI grants (1985-1995) Murst-grant 1997-2000 (national net Algebraic Geometry and Commutative Algebra). Mentoring Grants Women for Research (2000-2001) FIRB Project (2002-2004) FSE Ob. 3 Project (2004-2006) PRIN 2000-2009 Commutative Algebra, Computational aspects and Combinatorics, Coordinator G.Valla. PRIN 2011 Geometria delle Varieta Algebriche, Coordinator A. Verra. Local coordinator A. Conca MIUR-USR-Confindustria 2005-2007, 2008-2009, 2010-2012 (Piano Lauree Scientifiche). Azione integrata Italia-Spagna MIUR (2007-2009). Research Membership at Mathematical Sciences Research Institute (MSRI) in Berkeley, California, Fall 2012. PRA (Progetti di Ricerca di Ateneo 2012) Progetto CARIGE (Commutative Algebra), 2013 1
Institutional services: Member of Scientific committee of Italian Union of Mathematics (UMI), since 2015. Member of Scientific committee of GNSAGA, Istituto di Alta Matematica (INDAM) since 2013. Director of the Department of Mathematics of Genoa 2011-2015. Member of the Academic Council of the University of Genoa (Senato Accademico) since 2012 Member of several administrative committees of the University of Genoa: Commissione Statuto, Commissione per la Costituzione dei Dipartimenti, Commissione Regolamento di Ateneo, (2009-10-11-12-13). Vice-director of the Department of Mathematics of Genoa 2009-2011. Presidente CCS in Matematica (teaching coordinator), Universita di Genova, 2004-2007. Local coordinator of the national program: Progetto Lauree Scientifiche (MIUR-Confindustria-Ufficio didattico regionale), 2005-07, 2008-09, 2010-12. Professional Activities: Organizer with A. Iarrobino (Northeastern University, USA), Pedro Macias Marques (Universidade de Évora) of the special session: Local Artinian commutative algebras and their deformations, Joint International Meeting of the American Mathematical Society (AMS), European Mathematical Society (EMS), and Sociedade Portuguesa de Matemtica (SPM) University of Porto, Porto, Portugal June 10-13, 2015. Organizer with G. Caviglia (Purdue Univ., USA), J. Elias (Barcelona Univ.) and P. Gimenez (Valladolid Univ.) of the special session: Recent developments in Commutative algebra in the First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI, Bilbao, June 30 - July 4, 2014 Organizer with C. Huneke, Le D.T., N.V. Trung of: School and Workshop on Local rings and Local study of algebraic varieties, ICTP Trieste, Italy in honor of Prof. G. Valla 31 May-11 June 2010 Organizer withl. L. Avramov ( UNL, Lincoln, USA) M. Chardin (University of Paris VI-VII, Paris, France) J. K. Verma (IIT-B, Mumbai, India) T. J. Puthenpurakal (IIT-B, Mumbai, India) of: CIMPA School on Commutative algebra, IIT BOMBAY, Jan 2 12, 2008 Organizer with A. Alzati (Milano), G. Casnati (Torino), F. Galluzzi (Torino), R. Notari (Milano), G. Valla (Genova) of GTM Seminar: Some Topics in Commutative Algebra and Algebraic Geometry, since 2008. Scientific coordinator of the program of research Italia-Spagna, 2007-2009 Organizer with L. Avramov, W. Bruns and A. Conca, of the meeting: Hilbert Functions and Syzygies in Commutative Algebra and Combinatorics. A conference in honor of Juergen Herzog, held at the Palazzone in Cortona (Italy) from 16 to 22 September 2007. Mentoring Grants Women for Research ( Mentor of C. Polini, Assistent Professor, Department of Mathematics, University of Oregon), 2004. Organizer with G. Boffi and J. Herzog of the meeting: Current trends in commutative algebra (Levico, Italy, June 17-21, 2001) 2
Referee for various international journals including Journal of Algebra, Proceeding of AMS, Transaction of AMS, Journal of Pure and Applied Algebra, Math. Z., Communications in Algebra,... Reviewer for Mathematical Reviews. Member of several evaluation committees for positions of professor and researcher in Italy. Member of the Unione Matematica Italiana (UMI) and GNSAGA. Reviewer for funding agencies (NSA, NSF, UBS (Barcelona)) Master students since 2001: Marco Lo Giudice Elisa Gorla Valentina Bertella Paolo Mantero (with G. Valla) David Conti (with G. Valla) Chiara Canale Chiara Lambertini Roberto Ramassa Alessandro De Stefani Alessio Caminata Ilaria Lavagna Ulderico Fugacci Laura Tozzo. PhD students: Valentina Bertella, Leila Sharifan, Davide Bolognini, Ulderico Fugacci Laura Tozzo. Postdoctoral fellows: Valentina Bertella, Universita di Genova fellowship 2006-2007. M. Mandal (IIT Mumbai, India), Marie Curie-Indam Cofund fellowship 2012-2014. Co-supervised Postdoctoral fellows: A. V. Jayanthan (IIT Bombay, Mumbai, India) Gemma Colome -Nin (University of Barcelona, Spain) Leila Sharifan (Amirkabir University of Technology, Tehran Polytechnic University, Iran) Kazuho Ozeki (Meij University, Tokyo, Japan) Rasoul Ahangari (Tarbiat Moallem University, Iran) Invitations to International Research Centers: Mathematical Sciences Research Institute (MSRI), Berkeley, CA, USA, 2012. Centre International de Rencontres Mathematiques (CIRM), Luminy (France), Commutative algebra and its interactions with algebraic geometry: June 2000, June 2003, June 2006, October 2008, November 2010, July 2013. Banff Internatinal Research Station for Mathematical Innovation and Discovery (Canada): August 2012: Syzygies In Algebraic Geometry, with an exploration of a connection with String Theory 3
Centre de Recerca Matematica, Bellaterra, Spain: May 2002. Lecturer in International Schools: 5 Lectures in 4-th Joint meeting Japan-Vietnam, Meiji University, Tokyo, February 2009 5 Lectures on Castelnuovo Regularity and applications, CoCoA School, Barcelona (Spain) 2009 4 Lectures on Hilbert functions and Hilbert coeffcients of local rings, Pan-American Advanced Study Institute (PASI) in Commutative Algebra and its Connections to Geometry honoring Wolmer Vasconcelos 5 Lectures on Castelnuovo-Mumford Regularity, School in Tehran, IPM, July 2011 Noteworthy Talks: On the Rees algebra of an ideal, Convegno C.I.R.M. Algebra Commutativa,Trento, Italy (June 1981). The dimension of the Symmetric algebra, Workshop on Commutative algebra, Brathislava, Czechoslovakia (June 1984). On the resolution of points in the projective space, Commutative Algebra and Combinatorics, Nagoya, Japan (August 1990). On the resolutions of points on rational normal scrolls, Zerodimensional schemes, Ravello, Italy (June 1992). On Green and Lazarsfeld conjecture for points in P n, Workshop on Commutative Algebra and its Relation to Combinatorics and Computer Algebra, I.C.T.P., Trieste, Italy (May 1994). On Sally conjecture, Summer School on Commutative Algebra, University of Barcelona, Bellaterra, Spain (July 1996). On local Cohen-Macaulay rings of embedding dimension e h + 3, Purdue University, Lafayette (October 1998). On local Cohen-Macaulay rings of maximal embedding dimension, Colloquium Las Cruces University, New Mexico (January 2000). Koszul graded algebras, AMS Meeting, Washington, (January 2000). On the rate of a zero-dimensional scheme, Zero-dimensional schemes, Naple, Italy (February 2000). Maximal Hilbert functions, Worshop on Commutative Algebra, Essen, Germany (May 2000). Local rings of high embedding dimension, International Conference on Commutative algebra and its interaction with Algebraic Geometry, Luminy, France (June 2000). Castelnuovo Regularity and finiteness of Hilbert functions, First AMS-SMF, special session Commutative Algebra and its Interactions with Algebraic Geometry, Lyon (France) from July 17-20, 2001. On the Hilbert coefficients of normal ideals, First AMS-UMI, special session Commutative Algebra and its Interactions with Algebraic Geometry, Pisa June 2002. Castelnuovo-Mumford regularity of certain graded algebras, Workshop on Commutative algebra and computational aspects, Sinaia (Romania), September 2002. The transform of a lex-segment ideal and its associated graded ring, Algbre commutative et ses interactions avec la gomtrie algbrique, Luminy (France) June 2003. 4
The Hilbert polynomial od a Cohen-Macaulay module, Lisbona (Portugal), June 2003. Hilbert filtrations, ICTP Trieste (Italy), June 2004 Contracted ideals, MAGIC, Notre Dame (USA), October 2005 Hilbert coefficients of a module, Hanoi (Vietnam) CIMPA conference, January 2006 Minimal free resolutions of filtered modules over RLR, International conference, Yokohama (Japan), 2008 Extremal Betti numbers of local rings, Commutative algebra and its interactions with algebraic geometry, Luminy (France), 2008 Consecutive Cancellations on Betti numbers of local rings, 2nd Bluegrass Algebra Conference, Kentucky (USA) 2009 Koszul modules and resolutions of local rings, Geometrical and Combinatorial aspects of Commutative Algebra, Villafranca (Messina) 2009 On the structure of Gorenstein local algebras with low socle degree, Luminy (France), November 2010 An effective approach to the study of local complete intersections of height two, Midwest Commutative Algebra and Geometry Conference, Purdue, May 2011. Analytically Isomorphisms of Artinian rings, Connections For Women: Joint Workshop on Commutative Algebra and Cluster Algebras, MSRI, Berkeley, Aug 22, 2012 to Aug 24, 2012 Hilbert coefficients: classical results and open problems, Algebra Focus Period, MSRI, Berkeley, September 2012. The rationality of the Poincaré series of modules over Gorenstein local rings, Commutative Algebra and its interaction to Algebraic Geometry and Combinatorics, Hanoi, December 16-20, 2013. The structure of the inverse system of Gorenstein rings, Special session: Homological and Combinatorial Commutative Algebra, Joint International Meeting of the American Mathematical Society (AMS), European Mathematical Society (EMS), and Sociedade Portuguesa de Matemtica (SPM) University of Porto, Porto, Portugal June 10-13, 2015. Publications: 1 M.E. Rossi, Altezza e dimensione dellanello graduato associato ad un ideale, Rend. Sem. Mat. Polit. Torino 36 (1978), 305-312. 2 M.E. Rossi, Sulle algebre di Rees e simmetriche di un ideale, Le Matematiche XXXXIV (1979), 107-119. 3 M.E. Rossi, On Symmetric algebras which are Cohen-Macaulay, Manuscripta Mathematica 34 (1981), 199-210. 4 M.E. Rossi, On the Cohen-Macaulay type of the Symmetric algebras of a local ring, Comm. Algebra 10 (1982), 981-992. 5 M.E. Rossi, A note on the Symmetric algebras which are Gorenstein rings, Comm. Algebra 11 (1983), 2575-2591. 6 C. Huneke and M.E. Rossi, The dimension and components of the Symmetric algebras, J. Algebra 93 (1984), 200-210. 7 J. Herzog, M.E. Rossi and G. Valla, On the depth of the Symmetric algebra of a local ring, Trans. Amer. Math. Soc. 296 (1986), 577-606. 5
8 M.E. Rossi and G. Valla, Multiplicity and t-isomultiple ideals, Nagoya Math. J. 110 (1988), 81-111. 9 M.P. Cavaliere, M.E. Rossi and G. Valla, On short graded algebras, Commutative Algebra, Notes Math. 1430, Springer-Verlag Berlin Heidelberg (1990). 10 M.P. Cavaliere, M.E. Rossi and G. Valla, On the resolution of points in generic position, Comm. Algebra, 19 (1991), 1083-1097. 11 M.P. Cavaliere, M.E. Rossi and G. Valla, On the resolution of certain graded algebras, Trans. Amer. Math. Soc. 337 (1993), 389-409. 12 M.P. Cavaliere, M.E. Rossi and G. Valla, On Green and Lazarsfeld and minimal resolution conjecture for n + 3 points in P n, J. Pure Appl. Algebra 85 (1991), 105-117. 13 M.P. Cavaliere, M.E. Rossi and G. Valla, The Green and Lazarsfeld conjecture for n + 4 points in P n, Rend. Sem. Mat. Univers. Politecn. Torino, 49 (1991). 14 M.P. Cavaliere, M.E. Rossi and G. Valla, The strong Castelnuovo lemma for zerodimensional schemes, Proceedings of the Conference on Zero Dimensional Schemes, Ravello 8-3 Giugno 1992, Walter de Gruyter. 15 M.P. Cavaliere, M.E. Rossi and G. Valla, Quadrics through a set of points and their syzygies, Math. Zeitschrift 218 (1995), 25-42. 16 T. Mora and M.E. Rossi, An algorithm for the Hilbert function of a primary ideal, Comm. Algebra 23 (1995), 1899-1911. 17 J. Elias, M.E. Rossi and G. Valla, On the coefficients of the Hilbert polynomial, J. Pure and Appl. Algebra 108 (1996), 35-60. 18 M.E. Rossi and G. Valla, A conjecture of J. Sally, Comm. Algebra 24 (1996), 4249-4261. 19 A. Guerrieri and M.E. Rossi, Hilbert coefficients of Hilbert filtrations, J. Algebra 199 (1998), 40-61. 20 M.E. Rossi and G. Valla, Cohen-Macaulay local ring of dimension two and a strong version of a conjecture of J. Sally, J. Pure and Appl. Algebra 122 (1997), 293-311. 21 A. Guerrieri and M.E. Rossi, Estimates on the depth of the associated graded ring, J. Algebra 211 (1999), 457-471. 22 M.E. Rossi, Primary ideals with good associated graded rings, J. Pure and Appl. Algebra 145 (2000), 75-90. 23 M.E. Rossi and G. Valla, Cohen-Macaulay local rings of embedding dimension e + d 3, Proc. London Math. Soc. 80 (2000), 107-126. 24 M.E. Rossi, A bound on the reduction number of a primary ideal, Proc. Amer. Math. Soc. 128 (2000), 1325-1332. 25 M.E. Rossi and G. Valla, Stretched m-primary ideals, Beitraege zur Algebra und Geometrie 42 (2001), Number 1 26 A. Conca, E. De Negri and M.E. Rossi, On the rate of a set of points in projective space, Israel Journal of Math., Vol. 124 (2001), 253-265 27 A. Conca, M.E. Rossi and G. Valla, Groebner flags and Gorenstein algebras, Compositio Math. 129 (2001), 95-121 28 M.E.Rossi, G. Valla and W. V. Vasconcelos, Maximal Hilbert functions, Result. Math. 39 (2001) 99-114 29 M.E. Rossi, I. Swanson, Notes on the behavior of the Ratliff-Rush filtration. Commutative algebra (Grenoble/Lyon, 2001), 313 328, Contemp. Math., 331, Amer. Math. Soc., Providence, RI, 2003. 6
30 M.E. Rossi, N.V. Trung, G. Valla, Castelnuovo-Mumford regularity and extended degree. Trans. Amer. Math. Soc. 355 (2003), no. 5, 1773 1786 31 A. Corso, C. Polini, M.E. Rossi, Depth of associated graded rings via Hilbert coefficients of ideals. J. Pure Appl. Algebra 201 (2005), no. 1-3, 126 141. 32 M.E. Rossi, G. Valla, The Hilbert function of the Ratliff-Rush filtration. J. Pure Appl. Algebra 201 (2005), no. 1-3, 25 41. 33 A. Conca, E. De Negri, A.V. Jayanthan, M.E. Rossi, Graded rings associated with contracted ideals. J. Algebra 284 (2005), no. 2, 593 626. 34 M.E. Rossi, N.V. Trung, G. Valla, Castelnuovo-Mumford regularity and finiteness of Hilbert functions. Commutative algebra, 193 209, Lect. Notes Pure Appl. Math., 244, Chapman Hall/CRC, Boca Raton, FL, 2006. 35 A. Conca, E. De Negri, M. E. Rossi, Contracted ideals and the Groebner fan of the rational normal curve, Algebra and Number Theory 1 (2007), no. 3, 239 268. 36 M. E. Rossi, G. Valla, On the Chern number of a filtration, Rend. Sem. Mat. Univ. Padova, 121 (2009) 37 A. Conca, E. De Negri, M. E. Rossi, Integrally closed and componentwise linear ideals, Math. Z. (2009), published on line: DOI 10.1007/s00209-009-0537-4 38 M. E. Rossi, L. Sharifan, Consecutive cancellations in Betti numbers of local rings, Proc. Amer. Math. Soc. 138 (2009), 61-73. 39 M. E. Rossi, L. Sharifan, Minimal free resolution of a finitely generated module over a regular local ring, Journal of Algebra 322 (2009), 3693-3712. 40 J. Elias, M. E. Rossi Isomorphism classes of Artinian local rings via Macaulay s inverse system, Trans. A.M.S. Volume 364, Number 9, (2012), Pages 45894604. 41 M.E. Rossi, Hilbert Functions of Cohen-Macaulay local rings, Commutative Algebra and its Connections to Geometry, Contemporary Mathematics 555, AMS (2011), 173-200. 42 M.E. Rossi, Hilbert function and free resolutions of filtered modules, Proceedings 4th Japan-Vietnam Joint Seminar on Commutative Algebra, Meiji University, Institute of Mathematics (2009), 8 44. 43 G. Casnati, J. Elias, R. Notari, M.E. Rossi, Poincare series and deformations of Gorenstein local algebras, Comm. In Algebra. 41 (2013), 10491059. 44 J. Elias, M.E. Rossi, G. Valla On the Hilbert function of one-dimensional local complete intersections, J. of Algebra 399 (2014) 489-515. 45 J. Elias, M.E. Rossi Analytically isomorphisms of compressed algebras, Proc. Amer. Math. Soc. 143 (2015) 973-987, arxiv:1207.6919 [math.ac], DOI: http://dx.doi.org/10.1090/s0002-9939-2014-12313-6, PII: S 0002-9939(2014)12313-6 46 A. Conca, E. De Negri, M.E. Rossi Koszul algebras and Regularity, Commutative Algebra (in honor of D. Eisenbud), 285-315, Springer, New York 2013. 47 M.E. Rossi, L. Sega, The Poincare series of modules over compressed Gorenstein local rings, Advances in Math. 259 (2014) 421-447. 48 R. Ahangari Maleki, M.E. Rossi, Regularity and linearity defect of modules over local rings, Journal of Comm. Algebra 6, N.4 (2014) 49 M. Mandal, M.E. Rossi, The tangent cone of perfect ideals of codimension two, Acta Mathematica Vietnamita, special issue in honor of N.V. Trung, 2014, Volume 40, N. 1 (2015), 85 100. 7
50 A. Corso, C. Polini, M.E. Rossi, Bounds on the normal Hilbert coefficients, Proceedings of AMS (to appear) Monograph: M.E. Rossi, G. Valla, Hilbert Function of filtered modules, Springer-UMI Lecture Notes in Mathematics, LN 9 (2010). Work in Progress: J. Elias, M.E. Rossi Macaulay s correspondence in higher dimensions, preprint, 2014. K. Ozeki, M.E. Rossi, The structure of the filtration of the Sally module, preprint 2015. T.D. Dinh, M.E. Rossi, N.V. Trung, Castelnuovo-Mumford regularity and Ratliff-Rush closure, preprint 2015. 8