Ragni Piene

Professor emeritus - Matematisk institutt
Bilde av Ragni Piene
English version of this page
Telefon +47-22855906
Rom 1019
Brukernavn
Besøksadresse Moltke Moes vei 35 Niels Henrik Abels hus 0851 OSLO

Faglige interesser

Algebraisk geometri, spesielt enumerativ geometri og snitteori, singulariteter, modulrom, toriske varieteter; algebraiske metoder i datastøttet geometri, reelle algebraiske kurver og flater.

Bakgrunn

CV

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; Bunting Institute/Harvard University; Université de Grenoble; Universidad Federal  de Pernambuco, Recife; Institut des Hautes Études Scientifiques, Bures; École Polytechnique, Palaiseau; Massachusetts Institute of Technology.

Verv

2015– Member of the Scientific Council of the Fondation Mathématique Jacques Hadamard

2015–2020 Member of the Heidelberg Laureate Forum Foundation Council

2013–2021 Member of the Scientific Advisory Board of the Mathematisches Forschungsinstitut Oberwolfach

2009– Member of the Scientific Advisory Board of the Berlin Mathematical School

1996– Member of the Editorial Board of Communications in Algebra

2008– Member of the EMS/EWM Scientific Committee

 

Emneord: Matematikk, Algebra og algebraisk geometri

Publikasjoner

  • Dickenstein, Alicia & Piene, Ragni (2017). Higher order selfdual toric varieties. Annali di Matematica Pura ed Applicata.  ISSN 0373-3114.  s 1- 19 . doi: 10.1007/s10231-017-0637-4 Fulltekst i vitenarkiv. Vis sammendrag
  • Piene, Ragni (2016). Chern–Mather classes of toric varieties. arXiv.org.  ISSN 2331-8422. Vis sammendrag
  • Lanteri, Antonio; Mallavibarrena, Raquel & Piene, Ragni (2015). Inflectional loci of quadric fibrations. Journal of Algebra.  ISSN 0021-8693.  441, s 363- 397 . doi: 10.1016/j.jalgebra.2015.06.023 Fulltekst i vitenarkiv. Vis sammendrag
  • Piene, Ragni (2015). Discriminants, polytopes, and toric geometry, In Pierre Cartier; A. D. R. Choudary & Michel Waldschmidt (ed.),  Mathematics in the 21st Century.  Springer Science+Business Media B.V..  ISBN 978-3-0348-0858-3.  Chapter.  s 151 - 162 Vis sammendrag
  • Piene, Ragni (2015). Polar varieties revisited, In Jaime Gutierrez; Josef Schicho & Martin Weimann (ed.),  Computer Algebra and Polynomials.  Springer Science+Business Media B.V..  ISBN 978-3-319-15080-2.  Chapter.  s 139 - 150 Vis sammendrag
  • Dickenstein, Alicia; Di Rocco, Sandra & Piene, Ragni (2014). Higher order duality and toric embeddings. Annales de l'Institut Fourier.  ISSN 0373-0956.  64(1), s 375- 400 . doi: 10.5802/aif.2851 Vis sammendrag
  • Piene, Ragni (2014). Algebraic spline geometry: some remarks, In Tor Dokken & Agnar Georg Peder Muntingh (ed.),  SAGA – Advances in ShApes, Geometry, and Algebra. Results from the Marie Curie Initial Training Network.  Springer.  ISBN 978-3-319-08634-7.  Kapittel 9.  s 169 - 175
  • Lanteri, Antonio; Mallavibarrena, Raquel & Piene, Ragni (2012). Inflectional Loci of Scrolls over Smooth, Projective Varieties. Indiana University Mathematics Journal.  ISSN 0022-2518.  61(2), s 717- 750
  • 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 Vis sammendrag
  • Kleiman, Steven & Piene, Ragni (2001). Node polynomials for families: results and examples. arXiv. Vis sammendrag

Se alle arbeider i Cristin

  • Holden, Helge & Piene, Ragni (ed.) (2014). The Abel Prize 2008–2012. Springer Science+Business Media B.V..  ISBN 978-3-642-39448-5.  571 s.
  • 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.

Se alle arbeider i Cristin

  • Piene, Ragni (2017). Algebraic geometry for geometric modeling. Vis sammendrag
  • Piene, Ragni (2017). Euclidean projective geometry, reciprocal polar varieties, and focal loci.. Vis sammendrag
  • Piene, Ragni (2017). Euclidean projective geometry: reciprocal polar varieties and focal loci. Vis sammendrag
  • Piene, Ragni (2017). Polar varieties and Euclidean distance degree. Vis sammendrag
  • Piene, Ragni (2016). Algebraic splines and generalized Stanley–Reisner rings. Vis sammendrag
  • Piene, Ragni (2016). Algebraic splines and generalized Stanley–Reisner rings. Vis sammendrag
  • Piene, Ragni (2016). Enumeration of singular curves on surfaces. Vis sammendrag
  • Piene, Ragni (2015). Counting curves on singular surfaces. Vis sammendrag
  • Piene, Ragni (2015). Higher order self-dual toric varieties. Vis sammendrag
  • Piene, Ragni (2015). Projective geometry from a toric point of view. Vis sammendrag
  • Jemterud, Torkild & Piene, Ragni (2014, 26. august). Ekko. [Radio].  NRK.
  • Piene, Ragni (2014). An interview with Cheryl Praeger. Seoul Intelligencer.  s 16- 18
  • Piene, Ragni (2014). Higher order osculating spaces and dual varieties of toric varieties. Vis sammendrag
  • Piene, Ragni & Næss Olsen, Maren (2014, 21. februar). Mysteriet med kvinnene som forsvant.  Morgenbladet.
  • Moe, Torgunn Karoline; Piene, Ragni & Ranestad, Kristian (2013). Cuspidal curves on Hirzebruch surfaces.
  • Piene, Ragni (2013). Discriminants, polytopes and toric geometry. Vis sammendrag
  • Piene, Ragni (2013). Enriques diagrams and equisingular strata of families of curves. Vis sammendrag
  • Piene, Ragni (2013). Higher order selfdual toric varieties. Vis sammendrag
  • Piene, Ragni (2013). Node polynomials for curves on surfaces. Vis sammendrag
  • Piene, Ragni (2013). Polar varieties revisited. Vis sammendrag
  • Piene, Ragni (2013). Polytopes, discriminants and toric geometry. Vis sammendrag
  • Piene, Ragni & Sundlisæter, Tale (2013, 11. april). Profilen: Ragni Piene. [Fagblad].  Teknisk Ukeblad.
  • Holden, Helge & Piene, Ragni (2012). Matematikkens gave. Aftenposten (morgenutg. : trykt utg.).  ISSN 0804-3116.
  • Piene, Ragni (2012, 21. mars). Abelprisen 2012. [Radio].  Dagsnytt atten - NRK.
  • Piene, Ragni (2012). Cayley polytopes and toric geometry. Vis sammendrag
  • Piene, Ragni (2012, 30. oktober). Goldbachs formodning. [Radio].  "Det du tror, men ikke kan bevise", Radioselskapet, NRK.
  • Piene, Ragni (2012). The Abel Prize – the first 10 years.
  • Muntingh, Agnar Georg Peder; Piene, Ragni & Winther, Ragnar (2011). Topics in Polynomial Interpolation Theory. Series of dissertations submitted to the Faculty of Mathematics and Natural Sciences, University of Oslo.. 1056.
  • 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. Vis sammendrag
  • Piene, Ragni (2011). Higher order dual varieties - the toric case. Vis sammendrag
  • Piene, Ragni (2011). Higher order dual varieties: the toric case. Vis sammendrag
  • Piene, Ragni (2011). Matematyka jest wszechobecna. Wiadomości Matematyczne.  47(2), s 221- 223
  • Piene, Ragni (2011). The problematic art of counting. Vis sammendrag
  • 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. Vis sammendrag
  • Piene, Ragni (2010). Classification des polytopes entiers par fibrations toriques. Vis sammendrag
  • Piene, Ragni (2010). Curve counting and generating functions. Vis sammendrag
  • Piene, Ragni (2010). Inflection loci of projective varieties. Vis sammendrag
  • 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. Vis sammendrag
  • Piene, Ragni (2009). Counting curves: the hunting of generating functions. Vis sammendrag
  • 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. Vis sammendrag
  • 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. Vis sammendrag
  • 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. Vis sammendrag
  • Piene, Ragni (2006). Enumerating singular curves on a surface. Vis sammendrag
  • Piene, Ragni (2006). Polar and dual varieties of real curves and surfaces. Vis sammendrag
  • Piene, Ragni (2006). Zariski clusters, Hilbert schemes, and singular curves on a surface. Vis sammendrag
  • 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. Vis sammendrag
  • 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. Vis sammendrag
  • 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. Vis sammendrag

Se alle arbeider i Cristin

Publisert 24. okt. 2010 15:18 - Sist endret 31. jan. 2017 15:37