CURRICULUM VITAE


Personal details:

Name: Kleppe, Jan Oddvar
Address: Faculty of Technology, Art and Design, Oslo and Akershus University College, Pb. 4, St. Olavs plass, 0130 Oslo, Norway
E-mail: JanOddvar.Kleppe@hioa.no
Telephone: (0047)22453253, (0047)22453200
Title: Professor
Date of birth: 13th of May 1947 at Askøy near Bergen, Norway.
Civil status: Married, 4 children.
Home address: Bjørnelia 73, 1453 Bjørnemyr (at Nesodden, near Oslo), Norway.

Higher education:

1966-1969 Bachelor of Science (cand. mag.), University of Oslo.
Range of subjects: Mathematics, Physics and some Computer Science.
1970-1973 Master of Science (cand. real.), University of Oslo.
Main subject: Mathematics (algebra/algebraic geometry).
1982 Doctor philosophia with a thesis on deformation theories and classification of curves: "Deformations of graded algebras and projective schemes of nests. Applications to the Hilbert scheme of curves in 3-space".

Specialization:

Main field: Hilbert schemes (and their strata given by constant Hilbert function) of projective varieties in n-space,
deformation theories, with emphasis on deformations of graded (also artinian) objects, linkage (liaison) also Gorenstein-linkage,
(co)homology (Ext and Tor, as well as of algebras), projective space curves and determinantal schemes.
Other fields: Local cohomology, classification of Gorenstein (resp. level/Cohen-Macaulay)-algebras of codimention at least 4 (hhv. 3),
moduli of reflexive sheaves (mainly of rank 2), Hilbert schemes of surfaces in 4- and 5-space and liaison-invariants.
Current research: Hilbert schemes of determinantal varieties (given by maximal and submaximal minors). Projective space curves.
Publications: Number of pages in international refereed journals and proceedings: 704, see Publications, which e.g. contains
  • "The Smoothness and the Dimension of PGor(H) and of Other Strata of the Punctual Hilbert Scheme". J. Algebra 200 (1998), 606-628,
  • "Gorenstein Liaison, Complete Intersection Liaison Invariants and Unobstructedness" (with Migliore, Miro-Roig, Nagel, Peterson). Memoire AMS. 732 (2001),
  • "Dimension of Families of Determinantal Schemes" (with Miro-Roig R.M.). Trans. Amer. Math. Soc. 357 no.7 (2005), 2871-2907,
  • "Maximal families of Gorenstein algebras" Trans. Amer. Math. Soc. 358 no.7 (2006), 3133-3167,
  • "The Hilbert Scheme of Space Curves of small diameter". Annales de l'institut Fourier, 56 no. 5 (2006), p. 1297-1335,
  • "Families of Artinian and one-dimensional algebras". J. Algebra 311 (2007), 665-701.
  • "Ideals generated by submaximal minors" (with Miro-Roig R.M.). Algebra & Number Theory, 3 no. 4 (2009), 367-392.
  • "Moduli spaces of reflexive sheaves of rank 2". Canad. J. Math. 62 (2010), 1131-1154.
  • "Families of Determinantal Schemes" (with Miro-Roig R.M.). Proc. Amer. Math. Soc. 139 (2011), 3831-3843
  • "Families of low dimensional determinantal schemes". Journal of Pure and Applied Algebra, 215 no. 7 (2011) 1711-1725.
  • "Deformations of modules of maximal grade and the Hilbert scheme at determinantal schemes" arxiv.org/abs/1012.1976
  • "The Hilbert Scheme of Buchsbaum space curves" To appear in Annales de l'institut Fourier 62 (2012). arxiv.org/abs/1111.7020

    • Lectures at some international conferences and workshops:

  • "MAGIC 05 (Midwest Algebra, Geometry .. Interactions)", Oct. 2005, Notre Dame, USA: "Parameter spaces of quotients of k[x_0,...,x_n] with fixed Hilbert function."
  • "Vector Bundles and Low Codimensional Subvarieties", Sept. 2006, Trento, Italia: "The Hilbert scheme of space curves and related moduli spaces of reflexive sheaves."
  • "2nd NIMS School in Algebraic Geometry", May 2008, Daejeon, Sør-Korea: "The Hilbert Scheme of Space Curves: Ghost terms, linkage and obstructed curves."
  • "4th World Conference on 21st Century", March 2009, Abdus Salam School, GC Univeristy, Lahore, Pakistan: "Deformations of determinantal schemes in projective space."

    • Work experience:

    1970-1972 Part-time lecturer at the University of Oslo. (3 semesters)
    1972-1979 Research assistant at the University of Oslo.
    1979 NAVF-research fellow. (2nd semester)
    1980 Teaching mathematics to Chinese students (special project). (1st semester)
    1980- Permanent position at Oslo College, Faculty of Engineering, first as a lecturer, from Nov. 1982 as a reader/associate professor, and from the 1st of May 1997 as professor.

    Other responsibilities:

    1986 Chairman of the Council of the academic staff at Oslo College, Faculty of Engineering for 2 semesters.
    1987-1989 Head of the Department of General Science, Oslo College, Faculty of Engineering.
    1989-1994 Chairman of the Highest Board at Oslo College, Faculty of Engineering.
    1989-1996 Chairman of the National Commission of External Examinators (under the Norwegian Engineering Education Council). A member from 1987.
    1990-1994 Member of the Research Management Board (FOU-utvalget) for Colleges in Oslo and Akershus (under the Regional Board of Higher Education, Oslo and Akershus).
    2002-2010 Member of the Norwegian Mathematical Council/National Academic Council for Mathematics (as the representaive of Oslo University College).

    Position of trust:

    Member of the Local Education Authority at Nesodden in the periods 1979-83 and 1987-95.