University of Haifa – החוג למתמטיקה, אוניברסיטת חיפה
Let us start with two very believable observations: 1. The only functors from the category of all sets to that of finite sets are the constant ones.2. Groups have no natural abelian subgroups.We raise questions about infinite categorical and space…
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The energy spectrum of the hydrogen atom is one of the oldest computations in quantum mechanics, yet in the usual model the Schrodinger operator is singular, non-canonical, and relies on unmotivated boundary conditions. In joint work with Joseph Bernstein, we…
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Invariant metrics appear in most branches of mathematics. Examples include word metrics (entropy, fragmentation) and non-discrete metrics (Hofer norm and Lp) in symplectic, differential geometries and dynamics. In group theory examples include commutator length and primitive length. After providing some…
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