4 citations · 20 across the 14 of their papers we have counts for
15 papers
Constructing abelian varieties from rank 3 Galois representations with real trace field
Raju Krishnamoorthy, Yeuk Hay Joshua Lam
Let be a smooth affine curve over a number field and let be an irreducible rank 3 -local system on with trivial determinant and infinite…
Frobenius trace fields of cohomologically rigid local systems
Raju Krishnamoorthy, Yeuk Hay Joshua Lam
Let be a smooth variety with simple normal crossings compactification , and let be an irreducible -local system on wit…
The Manin-Mumford conjecture in genus 2 and rational curves on K3 surfaces
Philip Engel, Raju Krishnamoorthy, Daniel Litt
Let be a simple abelian surface over an algebraically closed field . Let be the set of torsion points of such that there exists a genus curve …
Constructing abelian varieties from rank 2 Galois representations
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
Let be a smooth affine curve over a number field with a compactification and let be a rank , geometrically irreducible -local syste…
Periodicity of Hitchin's uniformizing Higgs bundles
Raju Krishnamoorthy, Mao Sheng
We link the periodicity of Hitchin's uniformizing Higgs bundle with the arithmetic geometry of its underlying curve. Some new relations are discovered. We also speculate on the who…
Periodic de Rham bundles over curves
Raju Krishnamoorthy, Mao Sheng
In this article, we introduce the notion of periodic de Rham bundles over smooth complex curves. We prove that motivic de Rham bundles over smooth complex curves are periodic. We c…
Finiteness of logarithmic crystalline representations II
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
Let be an unramified -adic local field and let be the ring of integers of . Let be a smooth proper scheme together with a simple normal crossings divisor an…
Finiteness of logarithmic crystalline representations
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
Let be an unramified -adic local field and let be the ring of integers of . Let be a smooth proper scheme together with a normal crossings divisor. We show…
Deformation theory of periodic Higgs-de Rham flows
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
In this note we study the deformation theory of periodic (logarithmic) Higgs-de Rham flows. Under suitable numerical assumptions, this is equivalent to the deformation theory of to…
A Lefschetz theorem for crystalline representations
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
As a corollary of nonabelian Hodge theory, Simpson proved a strong Lefschetz theorem for complex polarized variations of Hodge structure. We show an arithmetic analog. Our primary…
Rank 2 local systems and abelian varieties II
Raju Krishnamoorthy, Ambrus Pál
Let be a smooth, geometrically connected, quasiprojective variety. Let be a semisimple overconvergent -isocrystal on . Suppose that irreducib…
Rank 2 local systems and abelian varieties
Raju Krishnamoorthy, Ambrus Pál
Let be a smooth geometrically connected variety. Inspired by work of Corlette-Simpson over , we formulate a conjecture that absolutely irreducible ra…
Rank 2 Local Systems, Barsotti-Tate Groups, and Shimura Curves
Raju Krishnamoorthy
We develop a descent criterion for -linear abelian categories. Using recent advances in the Langlands correspondence due to Abe, we build a correspondence between certain rank 2…
Correspondences without a Core
Raju Krishnamoorthy
We study the formal properties of correspondences of curves without a core, focusing on the case of étale correspondences. The motivating examples come from Hecke correspondences o…
Evolution of choices over time: The U.S. Presidential election 2012 and the NY City Mayoral Election, 2013
Mukkai Krishnamoorthy, Wesley Miller, Raju Krishnamoorthy
We conducted surveys before and after the 2012 U.S. Presidential election and prior to the NY City Mayoral election in 2013. The surveys were done using Amazon Turk. This poster de…