Geir Dahl

Instituttleder - Matematisk institutt
Bilde av Geir Dahl
English version of this page
Telefon +47 22855835
Mobiltelefon +47 90640373
Rom 1015
Brukernavn
Besøksadresse Moltke Moes vei 35 Niels Henrik Abels hus 0851 Oslo
Postadresse Postboks 1053 Blindern 0316 Oslo

Research interests

Combinatorial matrix theory; so the study of classes of matrices from a combinatorial point of view, or geometric, using convexity and polyhedral theory. Recent focused activities include majorization order and polytopes, classes of (0,1)-matrices with given line sums, doubly stochastic matrices, interval polytopes, matrix ranking methods in tennis(!) , Birkhoff polytopes, spectral graph theory etc.. My CV is here.

Teaching

MAT1120 Linear algebra  (I often lecture together with Erik Bedos)

MAT3100 Linear optimization

MAT4120/MAT9120 Mathematical optimization

Reading course in different topics: graph theory, convexity, matrix theory

Some recent talks

Nytt Munch museum - et SKRIK etter kombinatorikk og geometri!

 

Emneord: Matematikk

Publikasjoner

Se alle arbeider i Cristin

  • Dahl, Geir; Brualdi, R.A. & Andrade, Enide (2024). Frobenius, Combinatorial Matrices and Graph Partition.
  • Dahl, Geir; Guterman, Alexander & Shteyner, Pavel (2023). Majorization orders for (0,+1, -1)-matrices.
  • Guterman, Alexander; Dahl, Geir & Shteyner, Pavel (2023). On combinatorial matrix majorizations.
  • Dahl, Geir & Brualdi, R.A. (2023). Alternating Sign Matrices and Generalizations.
  • Andrade, Enide & Dahl, Geir (2023). New results on graph partition and Fiedler theory.
  • Dahl, Geir & Brualdi, R.A. (2022). Combinatorial matrix cones.
  • Dahl, Geir & Brualdi, R.A. (2022). The permutation and alternating sign matrix cones.
  • Dahl, Geir (2021). Kombinatorikk, geometri og Munch!
  • Dahl, Geir (2021). Doubly stochastic matrices: old and new results.
  • Brualdi, R.A. & Dahl, Geir (2021). Diagonal sums of doubly stochastic matrices.
  • Dahl, Geir; Munthe-Kaas, Antonella Zanna; Rønquist, Einar; Rypdal, Martin Wibe; Erfjord, Ingvald & Strømskag, Heidi [Vis alle 10 forfattere av denne artikkelen] (2021). Eksamen i matematikk er på ville veier. Aftenposten (morgenutg. : trykt utg.). ISSN 0804-3116.
  • Dahl, Geir (2019). Majorization - some recent developments in matrix theory.
  • Dahl, Geir; Brualdi, R.A.; Guterman, Alexander & Shteyner, Pavel (2019). Matrix covering problems.
  • Andrade, Enide; Dahl, Geir; Leal, Laura & Robbiano, Maria (2019). New bounds for the signless Laplacian spread.
  • Brualdi, R.A. & Dahl, Geir (2019). Matrix covering and A-interval matrices.
  • Dahl, Geir; Andrade, Enide & Ciardo, Lorenzo (2018). Combinatorial Perron Parameters and Trees.
  • Dahl, Geir & Brualdi, R.A. (2018). Alternating Sign Matrices, Polyhedra and Majorization.
  • Dahl, Geir; Ranestad, Kristian & Hole, Arne (2017). Programmering rammer dybdelæring i matematikk. Aftenposten (morgenutg. : trykt utg.). ISSN 0804-3116. s. 22–23.
  • Dahl, Geir (2017). Laplacian energy, threshold graphs and majorization.
  • Brualdi, R.A. & Dahl, Geir (2017). Alternating sign matrices and related polyhedra.
  • Brualdi, R.A. & Dahl, Geir (2017). Alternating sign matrices and polyhedra.
  • Andrade, Enide & Dahl, Geir (2016). Combinatorial Perron values.
  • Andrade, Enide & Dahl, Geir (2016). Combinatorial Perron values.
  • Dahl, Geir & Brualdi, R.A. (2016). Doubly stochastic matrices and the Bruhat order.
  • Dahl, Geir & Haufmann, Torkel Andreas (2016). Zero-one completely positive matrices and the A(R,S )matrix classes.
  • Haufmann, Torkel Andreas; Agra, Agostinho; Dahl, Geir & Pinheiro, Sofia (2016). The k-regular induced subgraph problem.
  • Dahl, Geir (2016). Some Topics in Combinatorial Matrix Theory.
  • Dahl, Geir (2015). Combinatorial Matrix Theory and Majorization.
  • Agra, Agostinho; Dahl, Geir; Haufmann, Torkel Andreas & Pinheiro, Sofia (2015). Maximal induced k-regular subgraphs.
  • Agra, Agostinho; Dahl, Geir; Haufmann, Torkel Andreas & Pinheiro, Sofia (2015). The k-regular induced subgraph problem for k=1,2.
  • Dahl, Geir (2015). Permutation matrices, doubly stochastic matrices and their L– rays .
  • Dahl, Geir (2015). Majorization, (0,1)-matrices and Laplacian energy.
  • Dahl, Geir & Brualdi, R.A. (2014). Majorization for partially ordered sets.
  • Dahl, Geir (2014). Majorization and combinatorial matrix theory.
  • Dahl, Geir (2014). Traveling Salesman Problem: En matematisk rundtur.
  • Haufmann, Torkel Andreas & Dahl, Geir (2014). Optimization and classes of completely positive matrices.
  • Dahl, Geir (2013). Nytt Munch museum: et SKRIK etter kombinatorikk og geometri!!
  • Dahl, Geir (2013). An introduction to Majorization: theory and applications.
  • Dahl, Geir (2013). Majorization transforms and Ryser’s algorithm.
  • Brualdi, R.A. & Dahl, Geir (2012). An extension of the polytope of doubly stochastic matrices.
  • Dahl, Geir & Brualdi, R.A. (2012). Generalized Birkhoff polytopes and majorization.
  • Bebiano, Natália; Dahl, Geir; da Silva, José Dias & da Fonseca, Carlos M. (2012). Preface to the Proceedings of the Coimbra Meeting on 0-1 Matrix Theory and Related Topics. Linear Algebra and its Applications. ISSN 0024-3795. 436(4), s. 789–790. doi: 10.1016/j.laa.2011.09.028.
  • Dahl, Geir (2012). A taste of Szemerédi's combinatorics.
  • Dahl, Geir (2012). Google: hvordan man blir styrtrik på en matematisk likning!
  • Dahl, Geir (2012). Majorization, matrix polytopes and combinatorics.
  • Dahl, Geir (2012). Lineær algebra, Google og rangering av websider.
  • Dahl, Geir (2011). Kombinatorikk på roterommet!
  • Dahl, Geir (2011). Majorization in matrix theory: a brief introduction and some recent progress.
  • Dahl, Geir (2011). Martingale matrix classes.
  • Dahl, Geir (2010). Majorization and related combinatorial matrix classes.
  • Dahl, Geir (2010). Majorization permutahedra and (0,1)-matrices.
  • Dahl, Geir (2010). Majorization, A(R,S) and related matrix classes.
  • Dahl, Geir & Dahl, Kristina Rognlien (2012). Linear optimization and mathematical finance. University of Oslo. ISSN 0806-2439. Fulltekst i vitenarkiv

Se alle arbeider i Cristin

Publisert 24. okt. 2010 15:45 - Sist endret 8. mai 2020 09:50