Kristian Ranestad

Bilde av Kristian Ranestad
English version of this page
E-post ranestad@math.uio.no
Telefon +47-22855917
Mobiltelefon +47-47811785
Rom 1111
Brukernavn
Besøksadresse Niels Henrik Abels Hus Blindern 0316 Oslo
Postadresse Postboks 1053 Blindern 0316 OSLO

Faglige interesser/Research interests

  • Projective algebraic geometry (surfaces in 4-space, varieties of small codimension, homogeneous varieties, hyperkaehler varieties, abelian varieties)
  • Applications of algebraic geometry (elliptic curve cryptography, phylogeny and algebraic statistical models, semidefinite programming)

ArXiv papers

Undervisning

Høst 2019: MAT1100

 

 

 

 

Emneord: Matematikk, Algebra og algebraisk geometri

Publikasjoner

Se alle arbeider i Cristin

  • Christophersen, Jan Arthur & Ranestad, Kristian (ed.) (2018). Geometry of Moduli. Abelsymposium 2017. Springer.  ISBN 978-3-319-94880-5.  326 s.
  • Ranestad, Kristian (ed.) (2008). The 1-2-3 of Modular Forms. Springer.  ISBN 978-3-540-74117-6.  266 s.

Se alle arbeider i Cristin

  • Ranestad, Kristian (2019). Bruker kurs og nye undervisningsformer.
  • Ranestad, Kristian (2019). Brukerkurs og nye undervisningsformer.
  • Ranestad, Kristian (2019). Divisors in the moduli space of cubic fourfolds.
  • Ranestad, Kristian (2019). Projective geometry of Wachspress coordinates.
  • Ranestad, Kristian (2019). Projective geometry of Wachspress coordinates.
  • Ranestad, Kristian (2018). Apolarity and powersum varieties, old and new results.
  • Ranestad, Kristian (2018). Apolarity and powersum varieties, old and new results.
  • Ranestad, Kristian (2018). Symmetric and skew symmetric degeneracy loci and constructions of hyperkähler manifolds..
  • Dahl, Geir; Ranestad, Kristian & Hole, Arne (2017). Programmering rammer dybdelæring i matematikk. Aftenposten (morgenutg. : trykt utg.).  ISSN 0804-3116.  s 22- 23
  • Ranestad, Kristian (2017). Apolarity, powersum varieties and divisors in the moduli space of cubic fourfolds.
  • Ranestad, Kristian (2017). Divisors in the moduli space of cubic fourfolds.
  • Ranestad, Kristian (2017). Symmetric and Lagrangian degeneracy loci, Kummer surfaces and Hyperkähler fourfolds..
  • Ranestad, Kristian (2017). Symmetric and skew symmetric degeneracy loci and constructions of hyperkähler manifolds.
  • Ranestad, Kristian (2016). Geometri og algebra-arven etter Euklid og Descartes.
  • Ranestad, Kristian (2016). Kummer surfaces and hyperkähler fourfolds, as degeneracy loci..
  • Ranestad, Kristian (2016). Rational Quartic Spectrahedra.
  • Ranestad, Kristian (2016). Symmetric and Lagrangian degeneracy loci, Kummer surfaces and Hyperkähler fourfolds.
  • Ranestad, Kristian (2016). Tensor decompositions and cubic sections of rational surface scrolls.
  • Ranestad, Kristian (2015). Algebra og Geometri-arven etter Euclid og Descartes.
  • Ranestad, Kristian (2015). Cactus varieties of homogeneous forms.
  • Ranestad, Kristian (2015). From powersum varieties to cactus varieties; old and new results.
  • Ranestad, Kristian (2015). On the powersums presenting a general cubic form in 6 variables..
  • Ranestad, Kristian (2015). Quartic Spectrahedra.
  • Ranestad, Kristian (2015). The Waring problem for homogeneous and bihomogeneous forms in few variables, old and new results..
  • Ranestad, Kristian (2015). Varieties of sums of powers of bihomogeneous forms.
  • Borge, Inger Christin; Sanne, Anders; Nortvedt, Guri A.; Meistad, Jens Arne; Skrindo, Knut; Ranestad, Kristian; Maugesten, Marianne; Lindstrøm, Tom & Kristensen, Tor Espen (2014). Matematikk i norsk skole anno 2014.
  • Ranestad, Kristian (2014). Apolarity and decomposition of homogeneous forms.
  • Ranestad, Kristian (2014). Apolarity and decompositions of homogeneous forms.
  • Ranestad, Kristian (2014). Cactus varieties of cubic forms.
  • Ranestad, Kristian (2014). Quartic Spectrahedra.
  • Ranestad, Kristian (2014). Quartic Spectrahedra.
  • Ranestad, Kristian (2014). Varieties of sums of powers of cubic fourfolds.
  • Moe, Torgunn Karoline; Piene, Ragni & Ranestad, Kristian (2013). Cuspidal curves on Hirzebruch surfaces.
  • Ranestad, Kristian (2013). On the rank and decompositions of symmetric tensors.
  • Ranestad, Kristian (2013). On the rank and decompositions of symmetric tensors.
  • Ranestad, Kristian (2013). Symmetric Tensor Decompositions.
  • Ranestad, Kristian (2013). Symmetric tensors, rank versus cactus rank.
  • Ranestad, Kristian (2013). Symmetric tensors, rank versus cactus rank.
  • Ranestad, Kristian (2013). Varieties of sums of powers of a cubic 4-folds.
  • Ranestad, Kristian (2013). Varieties of sums of powers of cubic 4-folds.
  • Ranestad, Kristian (2012). Decompositions of symmetric tensors.
  • Ranestad, Kristian (2012). Om å lese i matematikk.
  • Ranestad, Kristian (2012). The variety of polar simplices and beyond.
  • Ranestad, Kristian (2012). The variety of polar simplices and beyond.
  • Ranestad, Kristian (2011). Algebraic boundaries of Hilbert's SOS cones.
  • Ranestad, Kristian (2011). Polare trekanter.
  • Ranestad, Kristian (2011). Symmetric tensor decompositions.
  • Ranestad, Kristian (2010). Bevis i geometri.
  • Ranestad, Kristian (2010). Fano fourfolds of genus ten as linear sections of G(2,7) and G(3,6).
  • Ranestad, Kristian (2010). The convex hull of a space curve.
  • Ranestad, Kristian (2010). The convex hull of a space curve.
  • Ranestad, Kristian (2010). The convex hull of a space curve.
  • Ranestad, Kristian (2010). The convex hull of a variety.
  • Ranestad, Kristian (2010). The convex hull of a variety.
  • Ranestad, Kristian (2009). Smooth rational surfaces in P^4.
  • Ranestad, Kristian (2009). The abelian fibration on the Hilbert cube of a K3 surface of genus 9.
  • Ranestad, Kristian (2009). Veiledning til læreplanen i matematikk.
  • Stedøy-Johansen, Ingvill; Maugesten, Marianne; Dalvang, Tone; Pedersen, Vivi & Ranestad, Kristian (2009). Veiledning til Kunnskapsløftet, matematikk. Vis sammendrag
  • Ranestad, Kristian (2008). Bevis i plangeometri.
  • Ranestad, Kristian (2008). Multisecants of surfaces in projective fourspace.
  • Ranestad, Kristian (2008). Symmetri.
  • Ranestad, Kristian (2008). Toric Polar Cremona Transformations.
  • Ranestad, Kristian (2008). Toric polar Cremona transformations.
  • Ranestad, Kristian (2008). Torisk polare Cremonatransformasjoner.
  • Ranestad, Kristian; Graf von Bothmer, Hans Christian & Sottile, Frank (2008). Linear precision for toric surface patches.
  • Ranestad, Kristian & Johansen, Nils Voje (2008). Matematikklærerkompetanse i skolen. Lektorbladet.  ISSN 1503-027X.  s 17- 18
  • Ranestad, Kristian & Nie, Jiawang (2008). Algebraic Degree of Polynomial Optimization.
  • Ranestad, Kristian (2007). A class formula for varieties of symmetric matrices.
  • Ranestad, Kristian (2007). Algebra, geometri og phylogeni.
  • Ranestad, Kristian (2007). Ceva's teorem og bevis i geometri.

Se alle arbeider i Cristin

Publisert 24. okt. 2010 15:06 - Sist endret 6. sep. 2019 09:37

Forskergrupper