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Purity and Separation for Oriented Matroids
Leclerc and Zelevinsky, motivated by the study of quasi-commuting quantum flag minors, introduced the notions of strongly separated and weakly separated collections. These notions …
Mackey Profunctors
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The Second Moment Theory of Families of $L$-Functions-The Case of Twisted Hecke $L$-Functions
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Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems
This work is devoted to a systematic study of symplectic convexity for integrable Hamiltonian systems with elliptic and focus-focus singularities. A distinctive feature of these …
On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrodinger Equation: Existence, Uniqueness, and Instability
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Partial Compactification of Monopoles and Metric Asymptotics
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Local Coefficients and Gamma Factors for Principal Series of Covering Groups
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Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits
We study a class of measure-theoretic objects that we call cubic couplings, on which there is a common generalization of the Gowers norms and the Host– Kra seminorms. Our main …
Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows
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Motivic Euler Products and Motivic Height Zeta Functions
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Hopf Monoids and Generalized Permutahedra
Generalized permutahedra are polytopes that arise in combinatorics, algebraic geometry, representation theory, topology, and optimization. They possess a rich combinatorial …
Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum $\mathcal {H}(1,1)$
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