Sverre Lunøe-Nielsen

Førsteamanuensis

Institutt for ingeniørvitenskap

E-post: sverre.lunoe-nielsen@uia.no
Telefon: +47 37233746
Mobiltelefon: +4746966063

Kontor C5085 (Jon Lilletuns vei 9, 4879 Grimstad, Norway)

Forskningsgrupper

Fysikk og anvendt matematikk

Ansvarsområde

Personlig hjemmeside: home.uia.no/sverreal

Forskning

Faglige interesser

Algebraisk topologi: Moduler over Steenrod-algebraen, kromatisk homotopiteori, topologisk syklisk homologi, maskinassisterte beregninger.

Utvalgte publikasjoner

• Sverre Lunøe-Nielsen og John Rognes: «The Segal conjecture for topological Hochschild homology of complex cobordism», Journal of Topology 4 (2011) no.3, 591-622. http://jtopol.oxfordjournals.org/content/4/3/591.abstract
preprint: http://arxiv.org/abs/1010.5635
• Sverre Lunøe-Nielsen og John Rognes: «The topological Singer construction», Documenta Mathematica (2012): 861-909. https://www.elibm.org/article/10000224
• Marcel Bökstedt, Robert R: Bruner, Sverre Lunøe-Nielsen, og John Rognes: «On cyclic fixed points of spectra », Mathematische Zeitschrift 276 (2014), no. 1, 81-91.
https://link.springer.com/article/10.1007/s00209-013-1187-0
preprint: https://arxiv.org/abs/0712.3476

Kort biografi

• Medgrunnlegger og programvareutvikler, Virtex AS, 2009-2020.
• Postdoktor, Universitetet i Oslo, 2007-2009.
• Postdoktor (NFR), gjest ved Stanford University, 2006-2007.
• Postdoktor, Institut de Géométrie, Algébre et Topologie / Ecole Polytechnique Fédérale de Lausanne, Sveits, 2005-2006.
• Dr.Scient-stipendiat, OMATS / Matematisk institutt, Universitetet i Oslo, 2000-2004.
• Programvareutvikler, Telenor Conax, 2000.

Bökstedt, Marcel; Bruner, Robert Ray; Lunøe-Nielsen, Sverre A & Rognes, John (2014). On cyclic fixed points of spectra. Mathematische Zeitschrift. ISSN 0025-5874. 276(1-2), s. 81–91. doi: 10.1007/s00209-013-1187-0.
Rognes, John & Lunøe-Nielsen, Sverre A (2012). The topological Singer construction. Documenta Mathematica. ISSN 1431-0635. 17, s. 861–909.
Lunøe-Nielsen, Sverre A & Rognes, John (2011). The Segal conjecture for topological Hochschild homology of complex cobordism. Journal of Topology. ISSN 1753-8416. 4(3), s. 591–622. doi: 10.1112/jtopol/jtr015.

Se alle arbeider i Cristin

Lunøe-Nielsen, Sverre A; Catanzaro, Michael J.; van Woerden, Koen & Bruner, Robert Ray (2022). Steenrod Algebra Modules. Vis sammendrag
Computer calculations are used in many areas of mathematics to assist research and learning. In algebraic topology, algebraic methods are used to understand deep geometric structures. An important calculational tool in this area of mathematics is homological algebra, in particular applied to modules over the mod p Steenrod algebra. The software developed in this project is published as a free, open source, addition to the SageMath project (https://www.sagemath.org/) and enables computer assisted calculations of the homological algebra involved in studying finitely presented modules over the mod p Steenrod algebra. In particular it allows for the user to define finitely presented modules over the mod Steenrod algebra, elements of them, and morphisms between them. Methods are provided for doing basic homological algebra, e.g. computing kernels and images of homomorphisms, and finding free resolutions of modules.
Gjesteland, Thomas; Lima, Vegard; Lunøe-Nielsen, Sverre A; Radmehr, Farzad & Goodchild, Simon (2021). Gruppebasert prosjektoppgave i matematikk: Veiledernes erfaringer.
Natvig, Bent & Lunøe-Nielsen, Sverre A (2001). Abelske tilstander. Forskerforum. ISSN 0800-1715. 33(9), s. 10–10.

Se alle arbeider i Cristin

Publisert 16. apr. 2024 11:27