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Figures from the papers

Set theory

Diagram with j(κ), κ, j(θ), the image j''H, a generic g and a set A, illustrating how a generic ultrafilter is modified to lift an elementary embedding
fig. 1Modifying generic ultrafilters to lift elementary embeddings [1], [4], [5], [8].
Tree diagram comparing the Ramsey operator applied to two indescribability ideals, with height alpha equal to ot(beta_1 minus beta_0) times omega
fig. 2The Ramsey hierarchy and transfinite indescribability [13], [15], [19], [23].
Formula defining the restriction of an infinitary formula phi to alpha as a conjunction of restrictions of formulas psi
fig. 3Restrictions of infinitary formulas [15], [18], [a].

Graph theory

Three Möbius ladders with minimal energy vertex subsets shaded black
fig. 4Minimal-energy vertex sets in Möbius ladders [21].
A graph G on eight vertices, properly colored with four colors, and its square G squared
fig. 5A \((2,2)\)-perfect graph \(G\) (left) whose square \(G^2\) (right) is not perfect [25].
Diagram of heptatonic scales drawn as seven-vertex subsets of a 12-cycle, connected in order of increasing energy
fig. 6Heptatonic scales ordered by energy, increasing from left to right [20].
Diagram of triads drawn as three-vertex subsets of a 12-cycle, with their energies, in order of increasing energy
fig. 7Triads ordered by energy, increasing from left to right [20].

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