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web page.
Department of Mathematics, KTH
Gustav Sædén Ståhl
PhD Student (Algebraic Geometry)
Gustav Sædén Ståhl
Department of Mathematics, KTH
Lindstedtsvägen 25, 100 44 Stockholm
Office: 3728
Telephone: +46 8 790 6616
E-mail: gss[at]math.kth.se
Advisor: David Rydh
Research interests
Hilbert and Quot schemes, group schemes and their invariants, algebraic stacks, coherent functors, Rees algebras and blow ups.
Papers
Good Hilbert functors
Preprint, 2016, pp. 16. |
1611.00976 | |
Explicit projective embeddings of standard opens of the Hilbert scheme
of points
Preprint, 2016, pp. 20. Joint with Roy Skjelnes |
1605.07486 | |
Total blow-ups of modules and universal flatifications
Comm. Algebra, to appear. Preprint, pp. 11. |
1509.09217 | |
Gotzmann's persistence theorem for finite modules
Preprint, 2014, pp. 13. |
1411.7940 | |
Rees algebras of modules and coherent functors
Preprint, 2016, pp. 15.
|
1409.6464 | |
An intrinsic definition of the Rees algebra of a module
Proc. Edinb. Math. Soc. (2), to appear. Preprint pp. 16. |
1402.3219 | |
Rees algebras of modules and Quot schemes of points
Licentiate thesis, Defended Jan 2015.
|
KTH DiVA | |
Gradings of the affine line and its Quot scheme
Master's thesis, 2011, pp. 38.
|
KTH DiVA |
Macaulay2 packages
| m2 | LatticePolytopes
a package for computations with lattice polytopes.
(w/ Anders Lundman) 2014 |
Macaulay2 |
| m2 | FiniteFittingIdeals
a package for computing Fitting ideals of finite modules.
2015 |
Macaulay2 |
Kurskompendier
Grupper, mönster och symmetrier
(w/ Katharina Heinrich) pp. 96. KTH:s Matematiska Cirkel 2013-2014. |
webpage | |
Polytoper
(w/ Anders Lundman) pp. 110. KTH:s Matematiska Cirkel 2014-2015. |
webpage | |
Fraktaler
(w/ Rune Suhr) pp. 99. Stockholms Matematiska Cirkel 2015-2016. |
webpage |
Talks
• Group scheme actions on Hilbert schemes and Cartier duality - KTH 2013‑01‑11
• Representable functors, universal properties and the Yoneda embedding - Graduate student seminar, KTH 2013‑03‑22
• Geometrin hos ekvationer - KTH:s Matematiska Cirkel, gästföreläsning 2013‑04‑11
• The Rees algebra of a module - KTH 2013‑12‑02
• Versal maps and coherent functors - KTH 2014‑01‑17
• Varieties and schemes - Graduate student seminar, KTH 2014‑01‑31
• Rees algebras of modules and Quot schemes of points - KTH 2015‑01‑23
• Total blow-ups of modules - Algebra and geometry seminar, Stockholm University 2015‑10‑21
• Schubert calculus - Graduate student seminar, KTH 2016‑02‑05
• Projective embeddings of standard opens of Hilbert schemes of points - PhD conference, Stockholm University 2016‑05‑13
Unpublished/unfinished manuscripts of Dan Laksov: Notes
Teaching/Undervisning
VT2012
• Algebra och geometri - Medieteknik
• Flervariabelanalys - Industriell ekonomi
HT2012
• Tillämpad linjär algebra med numeriska metoder - Farkostteknik
VT2013
• Tillämpad flervariabelanalys med numeriska metoder - Farkostteknik
HT2013/VT2014
• KTH:s Matematiska Cirkel
Grupper, mönster och
symmetrier
HT2014/VT2015
• KTH:s Matematiska Cirkel
Polytoper
HT2015/VT2016
• Stockholms Matematiska Cirkel
Fraktaler
Supervision/Handledning
• Projektarbete för gymnasiet, Matrisrepresentation av de komplexa talen - HT2012/VT2013
• Projektarbete för gymnasiet, Matrisiterationer och egenvärden - HT2013/VT2014
• Projektarbete för gymnasiet, Differentialekvationer i linjära system - HT2014/VT2015
Conferences/Summer schools
• Compactifying Moduli Spaces - Barcelona, May 2013
• Facets of Geometry - Stockholm, June 2013
• GAeL XXI - Stockholm, June 2013
• Algebraic geometry and physics - Hamburg, August 2013
• Toric degenerations and mirror symmetry - Nordfjordeid, June 2014
• AMS 2015 Summer Institute in Algebraic Geometry - Salt Lake City, July 2015
• Algebraic Stacks and Related Topics - Mainz, September 2015
• 27th Nordic Congress of Mathematicians - Stockholm, March 2016
• Stockholm-Uppsala Mini-Conference for PhD-Students in Mathematics - Stockholm, May 2016
Misc
• Organizer of Stockholm-Uppsala Mini-Conference for PhD-Students in Mathematics (2016).
• Organizer of the joint KTH/SU graduate student seminar 2013‑2015
• Local organizer of GAeL XXI (2013).
