My academic background is from pure mathematics, but with quite a bit of
theoretical physics. I first did a master in several complex
variables, bordering to algebraic geometry. Later, after military
service and a period as a consultant, I returned to the university to
do a PhD in algebraic geometry.
Between the master and PhD, I worked as a consultant in medical
statistics at Medstat Research AS, which has provided much of my
background in statistics; many of the projects on which I worked
during this period were research projects, though my part was
primarily that of doing the statistical analyses.
After the PhD, I returned to consulting, starting in Teknometri AS
(later part of Software Innovation ASA), though this time with a
much broader scope than merely medical statistics. The main focus was
at statistical analyses and data mining, with a highly diverse
portfolio of projects.
Here are my master and PhD theses and an article based on my PhD
- The Pfaffian Calabi-Yau, its
Mirror, and their link to the Grassmannian G(2,7)
- An article version (i.e. short version) of my PhD-thesis.
The rank 4 locus of a general skew-symmetric
7x7 matrix gives the pfaffian variety in P20
which is not
defined as a complete intersection. Intersecting this
with a general P6 gives a Calabi-Yau manifold. An
orbifold construction seems to give the 1-parameter
mirror-family of this. However, corresponding to two
points in the 1-parameter family of complex structures,
both with maximally unipotent monodromy, are two
different mirror-maps: one corresponding to the general
pfaffian section, the other to a general intersection of
G(2,7) in P20 with a P13.
Apparently, the pfaffian and
G(2,7) sections constitute different parts of the A-model
(Kahler structure related) moduli space, and, thus,
represent different parts of the same conformal field
theory moduli space.
Maple programs for
- A Case of Mirror Symmetry Defined as Non-Complete
Intersections and Significant Topology Change for Multiple
- Push Forward of Holomorphic Forms