Master’s in Bergen and outside algebraic geometry, there’s also a Vienna lineage (Friehsach, Mühlwenzel, Petzval…Hurewicz…)-Per Hag. Kari Hag has a new progenitor as well (Pollard)

Mathematicians outside algebraic geometry, but still tied to Bergen’s pure mathematics, lead to lineages (Ørsted-…Lie…Thue)-Skolem/Ljunggren-Selmer. Tverberg(-Holmsen), (Fok…)-Markina, (Leibniz…Chebyshev…)-Vasiljev, (Leibniz-…Jacobi…)-Munthe-Kaas, Dundas, Brun, Schlichtkrull

Dan Laksov’s getting a master’s in Bergen and becoming a professor elsewhere doesn’t add a progenitor. Ranestad may have moved to Oslo before the master’s. Holme’s offspring Ådlandsvik/Dale have citations but didn’t carry on with algebraic geometry that I know

Dan Laksov came back to Bergen from time to time, while his mother lived and when he got his honorary doctorate. He would say stuff like how he admired the not much older Helge Tverberg while doing his master’s there. The thesis was called «Lineær rekursjon», so maybe Dan also had Selmer as advisor?

«but more importantly because we shall give a more up-to-date version below. From the following presentation of quadrics on the one hand and the correlations and collineations on the other, it will become apparent that the two theories are completely analogous.»

«41. D. Laksov, Notes on the evolution of complete correlations, Enumerative and Classical Algebraic Geometry (Proc., Nice, 1981), Progress in Math., vol. 24, Birkhäuser, 1982,
pp. 107-132.»

«We shall not at this point enter into the definitions and properties of correlative figures, partly because we have given elsewhere [41] a geometric description of correlations and collineations similar to that given for conics above,»

Apropos of

«The theory was extended to dimension three and partly four by Hirst (32, 36], and by Visalli (63, 65). Again, mainly through works of Schubert (49, 51], G. de Prete (20], and G. Z. Giambelli [27), the theory was extended to higher dimensions.»

Intrigued by «the variety of completed quadrics, which plays for the Iarrobino scheme a role similar to that played by the Grassmannian for the Quot scheme» Particularly like the citing of Dan Laksov; Completed quadrics and linear maps. Interesting times, learned about Tevelev degrees just last week

The tangent cone method: y-x^2=0 around (x,y)=(t,t^2) is (expand y+t^2-(x+t)^2): (y-t^2)-(x-t)^2-2t(x-t)=0 and take linear terms in x,y: (y-t^2)-2t(x-t)=0, so the slope is 2t at x=t. Works when we can parametrize an algebraic curve.

«But I have a way to go. People excite me, they turn me on. A new person can trigger things in you that you didn't even know you had. If it's musical that's even better. The unknown turns me on.»

The observations en.wikipedia.org/wiki/Giusepp... and the observations used www.actuaries.digital/wp-content/u...