
Photo: UiT

Trygve Johnsen
Professor in pure mathematics
Job description
Professor in pure mathematics
- Johnsen, Trygve; Verdure, Hugues. Möbius and coboundary polynomials for matroids. Designs, Codes and Cryptography 2021; Volum 89 (9). ISSN 0925-1022.s 2163 - 2177.s doi: 10.1007/s10623-021-00906-3.
- Johnsen, Trygve; Verdure, Hugues. Greedy weights for matroids. Designs, Codes and Cryptography 2020; Volum 89. ISSN 0925-1022.s 387 - 405.s doi: 10.1007/s10623-020-00824-w.
- Johnsen, Trygve; Verdure, Hugues. Higher Weight Spectra of Veronese Codes. IEEE Transactions on Information Theory 2020; Volum 66 (6). ISSN 0018-9448.s 3538 - 3546.s doi: 10.1109/TIT.2019.2948180.
- Ghorpade, Sudhir R; Johnsen, Trygve. A polymatroid approach to generalized weights of rank metric codes. Designs, Codes and Cryptography 2020; Volum 88 (12). ISSN 0925-1022.s 2531 - 2546.s doi: 10.1007/s10623-020-00798-9.
- Johnsen, Trygve; Verdure, Hugues. Higher weight spectra of codes from Veronese threefolds. Journal of Pure and Applied Algebra 2020; Volum 225 (7). ISSN 0022-4049.s doi: 10.1016/j.jpaa.2020.106609.
- Johnsen, Trygve; Verdure, Hugues. Relative profiles and extended weight polynomials of almost affine codes. Cryptography and Communications 2019; Volum 11 (5). ISSN 1936-2447.s 1009 - 1020.s doi: 10.1007/s12095-018-0348-8.
- Johnsen, Trygve; Verdure, Hugues. Flags of almost affine codes and the two-party wire-tap channel of type II. Designs, Codes and Cryptography 2017. ISSN 0925-1022.s 1 - 16.s doi: 10.1007/s10623-017-0438-1.
- Johnsen, Trygve; Verdure, Hugues. Generalized Hamming Weights for Almost Affine Codes. IEEE Transactions on Information Theory 2017; Volum 63 (4). ISSN 0018-9448.s 1941 - 1953.s doi: 10.1109/TIT.2017.2654456.
- Johnsen, Trygve; Verdure, Hugues. Relative generalized hamming weights and extended weight polynomials of almost affine codes. Lecture Notes in Computer Science (LNCS) 2017; Volum 10495 LNCS. ISSN 0302-9743.s 207 - 216.s doi: 10.1007/978-3-319-66278-7_17.
- Johnsen, Trygve; Roksvold, Jan Nyquist; Verdure, Hugues. A generalization of weight polynomials to matroids. Discrete Mathematics 2016; Volum 339 (2). ISSN 0012-365X.s 632 - 645.s doi: 10.1016/j.disc.2015.10.005.
- Johnsen, Trygve; Shiromoto, Keisuke; Verdure, Hugues. A generalization of Kung’s theorem. Designs, Codes and Cryptography 2015; Volum 81. ISSN 0925-1022.s 169 - 178.s doi: 10.1007/s10623-015-0139-6.
- Johnsen, Trygve; Roksvold, Jan Nyquist; Verdure, Hugues. Betti numbers associated to the facet ideal of a matroid. Bulletin of the Brazilian Mathematical Society, New Series 2015; Volum 45 (4). ISSN 1678-7544.s 727 - 744.s doi: 10.1007/s00574-014-0071-9.
- 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.
- 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. 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.
- 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.
- 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.
- 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. 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.
- 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; Manshadi, Saeed; Monzavi, Noorbakhsh. A determination of the parameters of a large class of Goppa codes. IEEE Transactions on Information Theory 1994; Volum 40 (5). ISSN 0018-9448.s 1678 - 1681.s doi: 10.1109/18.333893.
Research interests
Algebraic geometry, error-correcting codes
Member of project
Forskningsparken 1 B486