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Professor

Trygve Johnsen

Professor in pure mathematics Department of Mathematics and Statistics

77644031

92891013

trygve.johnsen@uit.no

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Tromsø

Forskningsparken 1 B486

Algebraic geometry, error-correcting codes

Professor in pure mathematics

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.

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 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.

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. 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. 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. 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. 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; 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; 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.

Britz, Thomas; Johnsen, Trygve; Martin, James A.. Chains, demi-matroids, and profiles. (https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6676847) 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. (http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.bbms) 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. An introduction to codes and matroids. Foredrag for ansatte ved DTU Compute 2019-04-03 - 2019-04-03 2019.

Johnsen, Trygve; Verdure, Hugues. About greedy weights.. CACAAG seminar. 2019-11-15 - 2019-11-18 2019.

Johnsen, Trygve. Generalized weight of rank metric codes, a combinatorial approach. 13th Nordic Combinatorial Conference (Norcom 2019) 2019-08-05 - 2019-08-07 2019.

Johnsen, Trygve. Generalized weights of rank metric codes, and q-analogues of matroids. Polynomials and curves over finite fields 2019-05-20 - 2019-05-22 2019.

Johnsen, Trygve. Algebraic geometric codes. CIMPA Research School: Commutative algebra with applications to Statistics and Coding Theory 2018-07-02 - 2018-07-06 2018.

Johnsen, Trygve. Error-Correcting Codes and Stanley-Reisner Ideals of Matroids. 84'th Annual Conference of Indian Mathematical Society 2018-11-27 - 2018-11-30 2018.

Johnsen, Trygve. Coding theory and algebraic properties of matroids. CACAAG seminar in Mathematics 2018-09-25 - 2018-09-25 2018.

Johnsen, Trygve. Demi-matroids and chains of block codes. ASGARD Math 2017 2017-04-27 - 2017-04-28 2017.

Johnsen, Trygve. Stanley-Reisner rings associated to matroids and codes. Conference to the Memory of Anatoly A. Karatsuba on Number Theory and Applications 2016-01-28 - 2016-01-30 2016.

Johnsen, Trygve. Hamming weights of almost affine codes and matroids. 12th Nordic Combinatorial Conference 2016-06-13 - 2016-06-15 2016.

Verdure, Hugues; Johnsen, Trygve. Kung's bound for almost affine codes. Combinatorics 2016 2016-05-29 - 2016-06-04 2016.

Johnsen, Trygve. Matroids and almost affine codes. ASGARD Math 2016 2016-04-21 - 2016-04-22 2016.

Johnsen, Trygve. "Linear sections of Grassmannians, applications to coding theory.". Special Trimester on Algebraic Geometry 2015-04-01 - 2015-06-30 2015.

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 (http://www.math.iitb.ac.in/~srg/AGCT-India-2013/Slides/index.html) 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.