Simons- Program: Geometric representation theory
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Title: P=W for nodal curves, in rank one
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Title: Perverse sheaves on arc spaces, central sheaves and local L-functions (joint work with D.Kazhdan and R.Bezrukavnikov).
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Title: Microlocal Sheaves and Cluster Algebras
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Title: Towards a cluster structure on trigonometric zastava
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Title: Homomorphisms between different quantum toroidal and affine Yangian algebras
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Title: Miura bimodule, the affine Grassmannian, and nil-DAHA
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Title: An involution based left ideal in the Hecke algebra
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Title: On categories O for quantized symplectic resolutions
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Title: Studying the decomposition theorem over the integers
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Title: Cherkis' bow varieties and Coulomb branches of quiver gauge theories of affine type A
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Title: BGG resolutions for rational Cherednik algebras
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Title: Applications of 3d N=4 theories in geometric representation theory
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Title: Semiclassical Geometric Langlands Correspondence
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Title: Tilting modules and the p-canonical basis
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Title: Donaldson-Thomas transformations for moduli spaces of local systems on surfaces
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Title: Elliptic stable envelopes
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Title: Recent Developments in the Geometric Langlands Program
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Title: Elliptic quantum groups
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Title: Cohomological Hall algebras and affine quantum groups
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Title: Loop Grassmannians, classifying spaces and local spaces
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