Proves degree obstructions for equivalence of generalized Airy operators of the same type and answers Katz's 1987 question.
Algebraic groups , year =
11 Pith papers cite this work. Polarity classification is still indexing.
11
Pith papers citing it
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2026 11verdicts
UNVERDICTED 11representative citing papers
Proves finiteness of continuous semisimple geometric representations to GL_n(F) for curves with arbitrary D, varieties with D=0, and liftable representations.
Unipotent torsors over generic points of DVRs in char p extend to normalizations in finite separable extensions, globalizing to ramified covers on curves and yielding isomorphisms of unipotent Nori fundamental group schemes.
Affine closure of T*O_n in sl_n is isomorphic via C*-Hamiltonian reduction to the minimal nilpotent orbit closure in so_{2n+2}, and has no symplectic resolution.
Constructs equivariant isomorphisms Φ(P,P') between affinized cotangent bundles of Braverman-Kazhdan spaces for conjugate parabolics in SL_n, satisfying Coxeter relations via SL-gauge reflection functors on type A quiver varieties.
Geometrizes Poisson summation for quadrics over number fields by relating Braverman-Kazhdan and theta-lift Schwartz spaces.
Any abelian variety over algebraic numbers has a de Rham-Betti group containing G_m, so odd-degree cohomology carries no non-zero dRB classes.
A new fibration theorem implies solvable descent, solving the Grunwald problem for solvable groups up to the Brauer-Manin obstruction.
Under a codimension assumption on the singular locus, isomorphism of the m-th differential sheaf implies isomorphisms for all lower i on complex hypersurfaces, with a positive characteristic analogue discussed.
Studies differential operators on Braverman-Kazhdan spaces P^der backslash G and claims they share structural properties with Weyl algebras while developing D-module theory.
The thesis constructs the étale fundamental group via the étale topology and recovers it alongside topological and motivic versions through Tannakian duality.
citing papers explorer
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A connection between minimal nilpotent orbits of types A and D via Hamiltonian reduction
Affine closure of T*O_n in sl_n is isomorphic via C*-Hamiltonian reduction to the minimal nilpotent orbit closure in so_{2n+2}, and has no symplectic resolution.
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Quasi-Classical Braverman--Kazhdan Intertwiners via Quiver Varieties
Constructs equivariant isomorphisms Φ(P,P') between affinized cotangent bundles of Braverman-Kazhdan spaces for conjugate parabolics in SL_n, satisfying Coxeter relations via SL-gauge reflection functors on type A quiver varieties.
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Weyl algebras on Braverman-Kazhdan spaces
Studies differential operators on Braverman-Kazhdan spaces P^der backslash G and claims they share structural properties with Weyl algebras while developing D-module theory.