University of Haifa – החוג למתמטיקה, אוניברסיטת חיפה
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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We shall describe the quest to classify uncountable linear orders, along the way debunking the claim that “Every nontrivial statement of infinite combinatorics is independent of the axioms of set theory”.This is joint work with Tanmay Inamdar.
The energy spectrum of the hydrogen atom is one of the oldest computations in quantum mechanics, yet in the usual model the Schr¨odinger operator is singular, non-canonical, and relies on unmotivated boundary conditions. In joint work with Joseph Bernstein, we…
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The “Magic Wand” theorem of Eskin-Mirzakhani and Eskin-Mirzakhani-Mohammadi is a far reaching result regarding the dynamics of an action of the group SL(2, R) on the moduli space of translation surfaces. Its proof (in 2013) was the culmination of many…
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Schur-Weyl duality is a cornerstone of representation theory. It has a modern analogue, where modules over the quantum affine algebras (objects of intense study in mathematical physics) are placed in correspondence with modules over affine Hecke algebras, and ultimately, with…
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Abstract: I will tell a story of three closely related mathematical problems: the Margulis normal subgroup theorem, the Stuck–Zimmer stabilizer rigidity problem, and Thoma’s character rigidity. I will explain those problems and their history, how each generalizes and extends the…
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Abstract: In this talk, I will present new results on powers of conjugacy classes in higherrank arithmetic groups. I will explain how these results fit into a broader conceptual framework and discuss some of their consequences.
Abstract: We prove that in any dimension n there exists an origin-symmetric ellipsoid of volume c n^2 that contains no points of Z^n other than the origin. Here c > 0 is a universal constant. Equivalently, there exists a lattice…
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Abstract: Classical fractals are self-similar sets, namely sets that “look the same” at different scales. Multifractal sets are geometric objects where different patterns emerge along different sequences of scales. In nature, a snowflake is a fractal while coastlines form a…
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