Ragni Piene
Research interests
Algebraic Geometry, in particular enumerative geometry and intersection theory,
singularities, moduli spaces, toric varieties; algebraic methods in computer
aided geometric design, real algebraic curves and surfaces.
Teaching
MAT4230
http://www.uio.no/studier/emner/matnat/math/MAT4230/h10/
Higher education and employment history
Education:
1976 Ph.D., Massachusetts Institute of Technology, USA
1972 Cand.real., University of Oslo, Norway
1970 D.E.A., Université de Paris (Orsay), France
1969 Cand. mag., University of Oslo, Norway
Positions:
1987– Professor, University of Oslo
1979–1986 Assoc. professor, University of Oslo
Research visits (1-12 months):
Institut Mittag-Leffler, Djursholm; MSRI, Berkeley; École Normale Supérieure,Paris; BuntingInstitute/Harvard University; Université de Grenoble; Universidad Federal de Pernambuco, Recife; Institutdes Hautes Études Scientifiques, Bures; École Polytechnique, Palaiseau; Massachusetts Institute of Technology.
Appointments
2010– Chair of the Abel Committee
http://www.abelprisen.no/en/abelprisen/komite.html
2010– Member of the Commission for Developing Countries of the International Mathematical Union
http://www.mathunion.org/cdc/
2005– Member of the Scientific Council of CIMPA
http://www.cimpa-icpam.org/spip.php?rubrique31&lang=en&select_fonction=Scientific%20Council
2009– Member of the Scientific Advisory Board of the Berlin Mathematical School
http://www.math-berlin.de/index.php/Boards-Committees.html
1996– Member of the Editorial Board of Communications in Algebra
http://www.tandf.co.uk/journals/journal.asp?issn=0092-7872&linktype=145
2008– Member of the EMS/EWM Scientific Committee
Cooperation
ShApes, Geometry, and Algebra - Initial Training Network FP7-PEOPLE-2007-1-1-ITN
http://saga-network.eu/
Publications
- Kleiman, Steven; Piene, Ragni & Tyomkin, Ilya (2011). Enriques diagrams, arbitrarily near points, and Hilbert schemes. Rendiconti Lincei - Matematica e Applicazioni. ISSN 1120-6330. 22(4), s 411- 451 . doi: 10.4171/RLM/608
- Dickenstein, A; Di Rocco, S & Piene, Ragni (2009). Classifying smooth lattice polytopes via toric fibrations. Advances in Mathematics. ISSN 0001-8708. 222(1), s 240- 254 . doi: 10.1016/j.aim.2009.04.002
- Johansen, Pål Hermunn; Piene, Ragni & Løberg, Magnus Bjørnsen (2008). Monoid hypersurfaces, In Bert Jüttler & Ragni Piene (ed.), Geometric Modeling and Algebraic Geometry. Springer. ISBN 978-3-540-72184-0. Kapittel. s 55 - 77
- Lanteri, Antonio; Mallavibarrena, Raquel & Piene, Ragni (2008). Inflectional loci of scrolls. Mathematische Zeitschrift. ISSN 0025-5874. 258, s 557- 564 . doi: 10.1007/s00209-007-0185-5
- Mork, Heidi Camilla & Piene, Ragni (2008). Polars of real singular plane curves, In Alicia Dickenstein; Frank Olaf Schreyer & Andrew J. Sommese (ed.), Algorithms in Algebraic Geometry. Springer Science+Business Media B.V.. ISBN 978-0-387-75154-2. Kapittel. s 99 - 115
- Piene, Ragni (2005). Singularities of some projective rational surfaces, In Tor Dokken (ed.), Computational Methods for Algebraic Spline Surfaces. Springer. ISBN 3-540-23274-5. Article. s 171 - 182
- Kleiman, Steven & Piene, Ragni (2004). Node polynomials for families: methods and applications. Mathematische Nachrichten. ISSN 0025-584X. 271, s 69- 90 . doi: 10.1002/mana.200310182
- Kleiman, Steven & Piene, Ragni (2001). Node polynomials for families: results and examples. arXiv.
- Kleiman, Steven & Piene, Ragni (1999). Enumerating singular curves on surfaces. Contemporary Mathematics. ISSN 0271-4132. 241, s 209- 238
- Piene, Ragni (1999). On the use of parameter and moduli spaces in curve counting, In Frances Kirwan; Sylvie Paycha & Sheung Tsun Tsou (ed.), Moduli spaces in mathematics and physics. Hindawi Publishing Corporation. ISBN 977-5945-01-1. Artikkel. s 57 - 66
- Martin-Deschamps, Mireille & Piene, Ragni (1997). Arithmetically Cohen-Macaulay curves of degree 4 and genus 0 in P4. Manuscripta mathematica. ISSN 0025-2611. 93, s 391- 408
- Piene, Ragni (1997). From conic sections to quantum cohomology - An introduction to enumerative algebraic geometry, In Anna Klisinska & Lars-Erik Persson (ed.), Selected Topics in Mathematics. Luleå University of Technology, Luleå, Sverige. s 85 - 100
- Piene, Ragni (1994). On the enumeration of algebraic curves - from circles to instantons, In A. Joseph; F. Mignot; F. Murat; B. Prum & R. Rentschler (ed.), First European Congress of Mathematics. Birkhäuser Verlag. ISBN 3-7643-2799-5. Artikkel. s 327 - 353
- Piene, Ragni (1994). Projective algebraic geometry in positive characteristic, In Mats Gyllenberg & Lars Erik Persson (ed.), Analysis, algebra, and computers in mathematical research. Marcel Dekker. ISBN 0-8247-9217-3. Artikkel. s 263 - 273
- Ballico, Eduardo; Piene, Ragni & Tai, Hsin-sheng (1992). A characterization of balanced rational normal surface scrolls in terms of their osculating spaces II. Mathematica Scandinavica. ISSN 0025-5521. 70, s 204- 206
- Kleiman, Steven & Piene, Ragni (1991). On the inseparability of the Gauss map. Contemporary Mathematics. ISSN 0271-4132. 123, s 107- 129
- Mallavibarrena, Raquel & Piene, Ragni (1991). Duality for elliptic normal surface scrolls. Contemporary Mathematics. ISSN 0271-4132. 123, s 149- 160
- Piene, Ragni & Tai, Hsin-sheng (1990). A characterization of balanced rational normal scrolls in terms of their osculating spaces, In S. Xambó-Descamps (ed.), Enumerative geometry. Springer. ISBN 3-540-52811-3. Artikkel. s 215 - 224
- Piene, Ragni (1988). Cycles polaires et classes de Chern pour les variétés projectives singulières, I: Dung Trang Le (red.), Introduction a la theorie des singularites II. Hermann. ISBN 2-7056-6092-5. Artikkel. s 7 - 34
- Ellingsrud, Geir; Piene, Ragni & Strømme, Stein Arild (1987). On the variety of nets of quadrics defining twisted cubics, In Franco Ghione; Christian Peskine & Edoardo Sernesi (ed.), Space Curves. Springer. ISBN 3-540-18020-6. Artikkel. s 84 - 96
- Fulton, William; Kleiman, Steven; Piene, Ragni & Tai, Hsin-sheng (1985). Some intrinsic and extrinsic characterizations of projective space. Bulletin de la Société Mathématique de France. ISSN 0037-9484. 113, s 205- 210
- Piene, Ragni (1985). On the problem of enumerating twisted cubics, In E. Casas-Alvero; G. E. Welters & S. Xambó-Descamps (ed.), Algebraic Geometry Sitges 1983. Springer. ISBN 3-540-15232-6. Artikkel. s 329 - 337
- Piene, Ragni & Sclessinger, M. (1985). On the Hilbert scheme compactification of the space of twisted cubics. American Journal of Mathematics. ISSN 0002-9327. 107, s 761- 774
- Piene, Ragni & Sacchiero, G. (1984). Duality for rational normal scrolls. Communications in Algebra. ISSN 0092-7872. 12(9), s 1041- 1066
- Piene, Ragni (1983). A note on higher order dual varieties, with an application to scrolls. Proceedings of the American Mathematical Society. ISSN 0002-9939. 40, s 335- 341
- Holden, Helge & Piene, Ragni (ed.) (2010). The Abel Prize 2003-2007. The First Five Years. Springer Publishing Company. ISBN 978-3-642-01372-0. 327 s.
- Jüttler, Bert & Piene, Ragni (ed.) (2008). Geometric Modeling and Algebraic Geometry. Springer. ISBN 978-3-540-72184-0. 232 s.
- Piene, Ragni; Elkadi, Mohamed & Mourrain, Bernard (ed.) (2006). Algebraic geometry and geometric modeling. Springer. ISBN 978-3-540-33274-9. 252 s.
- Laudal, Olav Arnfinn & Piene, Ragni (ed.) (2004). The Legacy of Niels Henrik Abel. Springer. ISBN 3-540-43826-2. 784 s.
- Muntingh, Agnar Georg Peder; Piene, Ragni & Winther, Ragnar (2011). Topics in Polynomial Interpolation Theory.
- Piene, Ragni (2011, 24. mars). Abelprisen til banebryter. Aftenposten.
- Piene, Ragni (2011). Enumerative geometry related to mirror symmetry and SYZ.
- Piene, Ragni (2011). Generating functions and enumerative geometry.
- Piene, Ragni (2011). Generating functions in enumerative geometry.
- Piene, Ragni (2011). Higher order dual varieties - the toric case.
- Piene, Ragni (2011). Higher order dual varieties: the toric case.
- Piene, Ragni (2011). Matematyka jest wszechobecna. Wiadomości Matematyczne. 47(2), s 221- 223
- Piene, Ragni (2011). The problematic art of counting.
- D'Andrea, Carlos; Giusti, Marc; Pardo, Luis M. & Piene, Ragni (2010). Effective methods in algebraic geometry 2009: Barcelona. Guest editors' foreword. Journal of symbolic computation. ISSN 0747-7171. 45(12), s 1251- 1253 . doi: 10.1016/j.jsc.2010.06.007
- Piene, Ragni (2010, 22. august). And who chooses the winners?. [Internett]. http://plus.maths.org/content/and-who-chooses-winners.
- Piene, Ragni (2010). Classification des polytopes entiers par fibrations toriques.
- Piene, Ragni (2010). Curve counting and generating functions.
- Piene, Ragni (2010). Inflection loci of projective varieties.
- Piene, Ragni (2010, 18. august). Mathematics ought to be a subject very suited for women. ICWM Newsletter.
- Piene, Ragni (2010). Some Counting Problems and Their Generating Functions.
- Piene, Ragni (2009). Counting curves: the hunting of generating functions .
- Piene, Ragni (2009). Functors of infinitely near points on an algebraic surface and the counting of Gromov-Witten invariants .
- Piene, Ragni (2009). Generating functions in enumerative geometry .
- Piene, Ragni (2008). Classifying lattice polytopes using toric fibrations.
- Piene, Ragni (2008). Classifying regular lattice polytopes using toric fibrations.
- Piene, Ragni (2008). Classifying regular lattice polytopes via toric fibrations.
- Piene, Ragni (2008). Classifying smooth lattice polytopes via toric fibrations .
- Piene, Ragni (2008). Infinitely near points, Enriques diagrams, and Hilbert schemes.
- Piene, Ragni (2007). Curves and surfaces .
- Piene, Ragni (2007, 07. april). Equal to Nobel. Frontline, Vol. 24, Issue 07 (India).
- Piene, Ragni (2007). Inflectional loci of scrolls.
- Piene, Ragni (2007). Real monoid surfaces .
- Piene, Ragni (2006). Enumerating singular curves on a surface .
- Piene, Ragni (2006). Polar and dual varieties of real curves and surfaces .
- Piene, Ragni (2006). Zariski clusters, Hilbert schemes, and singular curves on a surface.
- Piene, Ragni (2005). Bell polynomials and enumerative geometry.
- Piene, Ragni (2005). Counting curves on a surface.
- Piene, Ragni (2005). Generating functions and enumerative geometry.
- Piene, Ragni (2005). The curve counting problem.
- Piene, Ragni (2005). The curve counting problem.
- Piene, Ragni (2005). The curve counting problem - or: when algebraic geometry met string theory.
- Piene, Ragni (2004). Cuspidal plane curves.
- Piene, Ragni (2004). Enriques diagrams and equisingular strata of families of curves.
- Piene, Ragni (2004). Enriques diagrams and the equisingular stratification of famlies of curves.
- Piene, Ragni (2004). Enumerating and characterizing real and complex singularities of curves and surfaces.
- Piene, Ragni (2004). The equisingular stratification of families of curves on surfaces.
- Piene, Ragni (2004). The equisingular stratification of families of curves on surfaces.
- Piene, Ragni (2003). On the classification of real algebraic curves and surfaces.
- Piene, Ragni (2003). On the use of classical algebraic geometry in computer aided design.
- Piene, Ragni (2003, 27. september). The numbers game. New Scientist.
- Piene, Ragni (2002). Counting curves on Abelian surfaces.
- Piene, Ragni (2002). Hilbert schemes and singular curves on a surface.
- Piene, Ragni (2001, 21. juni). Den fantastiske matematikken. Dag og Tid.
- Piene, Ragni (2001). Familles des courbes sur des surfaces: le problème d'énumeration des courbes équisingulières.
- Piene, Ragni (2001, 17. april). Matematikk = poesi. Dagbladet.
- Piene, Ragni (2001, 22. februar). Om "Universets poesi". [Radio]. Verdt å vite, NRK, P2 : NRK v/ Marianne Moen.
- Piene, Ragni (2001). Towards an algorithm for node polynomials for curves on surfaces.
- Piene, Ragni (2000). Enumerating singular curves: nodal polynomials for families of curves on surfaces.
- Piene, Ragni (2000). On "equisingular strata" of the Hilbert scheme and the enumeration of singular curves on a surface.
- Piene, Ragni (2000). Osculating spaces, fundamental forms, and multiplicities of discriminants.
- Piene, Ragni (2000, 14. januar). Portrett av Sofia Kovalevskaia. [Radio]. NRK Oslo : Marianne Moen, Verdt å vite, NRK P2.
- Piene, Ragni; Brandell, Gerd; Fainsilber, Laura & Hess, Kathryn (2000). Kvinnor kan!.
- Piene, Ragni (1999). Enumerating singular curves on surfaces.
- Piene, Ragni (1999). Enumerating singular curves on surfaces.
- Piene, Ragni (1999). Node polynomials for families: The algorithm and an example.
- Piene, Ragni (1999, 21. november). Portrett av Sophie Germain. [Radio]. NRK P2 : Verdt å vite.
- Piene, Ragni (1998). On the use of parameter and moduli spaces in curve counting.
- Piene, Ragni (1996, 15. januar). Ragni Piene: Med leken lyst på likninger. Apollon 1/96, UiO.
- Piene, Ragni (1992). On the enumeration of algebraic curves - from circles to instantons.
- Piene, Ragni (1992). Projective algebraic geometry in positive characteristic.
- Piene, Ragni (1988, 04. oktober). Forskning + barn – et vanskelig regnestykke. Kvinner og Klær Nr. 40.
- Piene, Ragni (1987). Characterizing rational scrolls in terms of their osculating spaces.
- Piene, Ragni (1985). Espacios tangentes, espacios osculantes y variedades duales.
- Piene, Ragni (1985). On the variety of nets of quadrics defining twisted cubics.
- Piene, Ragni (1983). On the problem of enumerating twisted cubics.