The motivating dream is to understand the geometry that underlies Number Theory and
QFT, for instance zeta functions, Langlands conjectures and string dualities. In this
direction I study geometric objects that contain representation theoretic-information,
such as flag varieties and loop Grassmannians. 

# Articles

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##### Linear Koszul duality (with S Riche), Composito Mathematica (2010)

In this paper we construct, for F1 and F2 subbundles of a vector bundle E,...

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##### Singular localization and intertwining functors for reductive Lie algebras in prime characteristic (with R Bezrukavnikov and D Rumynin), Nagoya Mathematical Journal (2006)

In [BMR] we observed that, on the level of derived categories, representations of the Lie...

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##### Equivariant homology and K-theory of affine Grassmannians and Toda lattices (with R Bezrukavnikov and M Finkelberg), Composito Mathematica (2005)

For an almost simple complex algebraic group G with affine Grassmannian $\text{Gr}_G=G(\mathbb{C}(({\rm t})))/G(\mathbb{C}[[{\rm t}]])$, we...

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##### Some results about geometric Whittaker model (with R Bezrukavnikov and A Braverman), Advances in Mathematics (2004)

Let G be an algebraic reductive group over a field of positive characteristic. Choose a...

# Other

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##### Linear koszul duality and Affine Hecke algebras (with S Richie), Mathematics and Statistics Department Faculty Publication Series (2009)

n this paper we prove that the linear Koszul duality equivalence constructed in a previous...

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##### Modules over the small quantum group and semi-infinite flag manifold (with S Arkhipov, R Bezrukavnikov, A Braverman, and D Gaitsgory), Mathematics and Statistics Department Faculty Publication Series (2005)

We develop a theory of perverse sheaves on the semi-infinite flag manifold G((t))/N((t)) · T[[t]],...