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Prof.  Trygve Johnsen

Johnsen, Trygve


Instituttleder
Matematikk og statistikk


Telefon: 776 44031
Mobil jobb / Mobil privat: / 92891013
Epost : trygve.johnsen@uit.no
Campus: Tromsø
Kontor/besøksadresse : REALF A 223 / Realfagsbygget
Funksjon : Instituttleder

Stillingsbeskrivelse:

Instituttleder

Forskningsinteresser

Algebraisk geometri, feil-opprettende koder

Arbeider i CRIStin

  • Britz, Thomas; Johnsen, Trygve; Martin, James A.. Chains, demi-matroids, and profiles. (data) IEEE Transactions on Information Theory 2014; Volum 60 (2). ISSN 0018-9448.s 986 - 991.s doi: 10.1109/TIT.2013.2292524.
  • Johnsen, Trygve; Verdure, Hugues. Stanley–Reisner resolution of constant weight linear codes. Designs, Codes and Cryptography 2014; Volum 72 (2). ISSN 0925-1022.s 471 - 481.s doi: 10.1007/s10623-012-9767-2.
  • Johnsen, Trygve; Verdure, Hugues. Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids. Applicable Algebra in Engineering, Communication and Computing 2013; Volum 24 (1). ISSN 0938-1279.s 73 - 93.s doi: 10.1007/s00200-012-0183-7.
  • Britz, Thomas; Johnsen, Trygve; Mayhew, Dillon; Shiromoto, Keisuke. Wei-type duality theorems for matroids. Designs, Codes and Cryptography 2012; Volum 62 (3). ISSN 0925-1022.s 331 - 341.s doi: 10.1007/s10623-011-9524-y.
  • Hansen, Johan P.; Johnsen, Trygve; Ranestad, Kristian. Grassmann codes and Schubert unions. 2010 (21) ISBN 978-2-85629-279-2. ISSN 1285-2783.s 103 - 123.
  • Johnsen, Trygve; Rasmussen, Nils Henry. Scroll codes over curves of higher genus. Applicable Algebra in Engineering, Communication and Computing 2010; Volum 21 (5). ISSN 0938-1279.s 397 - 415.s doi: 10.1007/s00200-010-0130-4.
  • Hana, Gert Monstad; Johnsen, Trygve. Rational curves on a general heptic fourfold. Bulletin of the Belgian Mathematical Society Simon Stevin 2009; Volum 16 (5). ISSN 1370-1444.s 861 - 885.
  • Hana, Gert Monstad; Johnsen, Trygve. Rational Curves on a general heptic fourfold. (data) Bulletin of the Belgian Mathematical Society Simon Stevin 2009; Volum 16 (5). ISSN 1370-1444.s 861 - 885.
  • Hitching, George H.; Johnsen, Trygve. Decoding of scroll codes. World Scientific 2008; Volum 5 (Helt volum) ISBN 981-279-342-9. ISSN 1793-3161.s 294 - 314.
  • Hansen, Johan Peder; Johnsen, Trygve; Ranestad, Kristian. Schubert unions in Grassmann varieties. Finite Fields and Their Applications 2007; Volum 13 (4). ISSN 1071-5797.s 738 - 750.s doi: 10.1016/j.ffa.2007.06.003.
  • Hana, Gert Monstad; Johnsen, Trygve. Scroll codes. Designs, Codes and Cryptography 2007; Volum 45 (3). ISSN 0925-1022.s 365 - 377.s doi: 10.1007/s10623-007-9131-0.
  • Johnsen, Trygve; Knutsen, Andreas Leopold. Errata and Addenda: "Rational curves in Calabi-Yau threefolds". Communications in Algebra 2005; Volum 33 (6). ISSN 0092-7872.s 2075 - 2076.
  • Johnsen, Trygve; Knutsen, Andreas Leopold. Rational curves in Calabi-Yau threefolds. Communications in Algebra 2003; Volum 31 (8). ISSN 0092-7872.s 3917 - 3953.
  • Johnsen, Trygve. Rank Two Bundles on Curves and Decoding of Goppas Codes. International journal of pure and applied mathematics 2003; Volum 4 (1). ISSN 1311-8080.s 33 - 45.
  • Ekedahl, Torsten; Johnsen, Trygve; Sommervoll, Dag Einar. "Isolated rational curves on K3-fibered Calabi-Yau threefolds". Manuscripta mathematica 1999; Volum 99. ISSN 0025-2611.s 111 - 133.
  • Johnsen, Trygve; Kleimann, S.L.. Toward Clemen's conjecture in degrees between 10 and 24. Serdica Mathematical Journal 1997; Volum 23. ISSN 1310-6600.s 1001 - 1012.
  • Johnsen, Trygve. Plane Projections of a smooth space curve. Banach Center Publications 1996; Volum 36. ISSN 0137-6934.s 89 - 110.
  • Johnsen, Trygve; Kleiman, Steven L.. Rational curves of degree at most 9 on a general quintic threefold. Communications in Algebra 1996; Volum 24 (8). ISSN 0092-7872.s 2721 - 2753.
  • Johnsen, Trygve. Appendix to Marc Coppens' article: "An infinitesimal study of secant space divisors". Journal of Pure and Applied Algebra 1996; Volum 113. ISSN 0022-4049.s 121 - 144.
  • Knutsen, Andreas Leopold; Johnsen, Trygve; Fløystad, Gunnar. Combinatorial aspects of commutative algebra and algebraic geometry. Proceedings of the Abel Symposium held in Voss, June 1–4, 2009. Springer 2011 (6) ISBN 978-3-642-19491-7. ISSN 2193-2808.
  • Fløystad, Gunnar; Johnsen, Trygve; Knutsen, Andreas Leopold. Combinatorial Aspects of Commutative Algebra and Algebraic Geometry: The Abel Symposium 2009. Springer 2011; Volum 6 (-) ISBN 3642194915. ISSN 2193-2808.
  • Hitching, George H.; Johnsen, Trygve; og 42 andre, fra mange land; Chaumine, Jean; Hirschfeld, James; Rolland, Robert. Algebraic Geometry and Its Applications. World Scientific 2008; Volum 5 (Helt volum) ISBN 981-279-342-9. ISSN 1793-3161.s 294 - 314.
  • Knutsen, Andreas Leopold; Johnsen, Trygve. $K3$ projective models in scrolls.. Springer 2004 ISBN 3-540-21505-0.
  • Johnsen, Trygve; Knutsen, Andreas Leopold. K3 Projective Models in Scrolls. Springer 2004 (1842) ISBN 3-540-21505-0. ISSN 0075-8434.
  • Johnsen, Trygve. About Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids. Nasjonalt algebramøte 2013 2013-11-07 - 2013-11-08 2013.
  • Johnsen, Trygve. About chains of codes, demi-matroids and profiles. The 11th Nordic Combinatorial Conference (NORCOM 11) 2013-06-17 - 2013-06-19 2013.
  • Johnsen, Trygve. Linear codes and Stanley-Reisner rings associated to matroids. International Conference on Algebraic Geometry and Coding Theory (data) 2013-12-02 - 2013-12-06 2013.
  • Johnsen, Trygve. Om årets vinner av Abelprisen, Pierre Deligne, og hans arbeider. Norsk matematikkråds årsmøte 2013-09-25 - 2013-09-27 2013.
  • Johnsen, Trygve. Codes and Matroid Structures. ALGA 2012 (konferanse i algebra) 2012-08-13 - 2012-08-17 2012.
  • Johnsen, Trygve. Algebraic-geometric codes, and matroid structures. Algebraic Geometry with a view towards applications 2011-01-17 - 2011-06-15 2011.
  • Johnsen, Trygve. Koder fra algebraisk geometri. Nasjonalt algebramøte 2010-11-10 - 2010-11-11 2010.
  • Johnsen, Trygve. Om kodeteori. 60-årsjubileum for Matematisk institutt, UiB 2009-05-08 - 2009-05-08 2009.
  • Johnsen, Trygve. Demi-matroids. Norsk kryptoseminar 2009 2009-10-22 - 2009-10-23 2009.
  • Johnsen, Trygve. Om matroider og Stanley-Reisner ringer. Nasjonalt algebramøte 2008-10-30 - 2008-10-31 2008.
  • Johnsen, Trygve. Codes from algebraic varieties. Joint Mathematical Weekend 2008-02-29 - 2008-03-02 2008.
  • Johnsen, Trygve. Schubert unions in flag varieties.. Conference in Algebraic Geometry 2005-05-18 - 2005-05-20 2005.
  • Hansen, Johan P.; Johnsen, Trygve; Ranestad, Kristian. Schubert Unions in Grassmann Varieties. 2005 (-).
  • Johnsen, Trygve. Codes associated to Schubert unions in flag varieties. AGCT-10, Luminy, France 2005-09-26 - 2005-09-30 2005.
  • Johnsen, Trygve. Grassmann- og Schubertkoder. Universitetet i Oslo 2003-11-24 - 2003.
  • Johnsen, Trygve. Kurver, koder og kontroll. Ski og matematikk 2002-01-01 - 2002.
  • Johnsen, Trygve. The Borcea-Voisin Construction. NORDAG workshop algebraic geometry 2002-01-01 - 2002.
  • Johnsen, Trygve. Curves on Calabi-Yau threefolds. Conference in Honor of Steven Kleiman's 60'th Birthday 2002-01-01 - 2002.
  • Johnsen, Trygve; Knutsen, Andreas Leopold. Curves on some specific threefolds. Mathematics related to string theory, mirror symmetry, and Calabi Yau manifolds 2002-01-01 - 2002.
  • Johnsen, Trygve. Glatte kurver i familier av Calabi-Yau trefoldigheter i homogene rom. Universitetet i Oslo 2001-03-26 - 2001.
  • Johnsen, Trygve; Knutsen, Andreas Leopold. K3 projective models in rational normal scrolls. 2001 (20).
  • Ekedahl, Torsten; Johnsen, Trygve; Sommervoll, Dag Erik. Isolated rational curves on K3-fibered Calabi-Yan threefolds. 1997; Volum 1996/97 (26).
  • Johnsen, Trygve. Clemens' conjecture for curves of low degree. [Mangler data] 1996.
  • Johnsen, Trygve. Rational curves on complete intersection threefolds. [Mangler data] 1996.
  • Johnsen, Trygve. Om Clemens' formodning for kurver av grad 10 til 24. [Mangler data] 1996.
  • Johnsen, Trygve. Rank two bundles on algebraic curves and decoding of Goppa codes. 1996.
  • Johnsen, Trygve; Kleiman, Steven L.. Rational curves of degree at most 9 on a general quintic threefold. 1995.
  • Medlem i forskningsgrupper:

    Ren matematikk
    Pure Mathematics