255 citations · 589 across the 29 of their papers we have counts for
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math.NT2018
Diophantine problems and -adic period mappings
Brian Lawrence, Akshay Venkatesh
We give an alternative proof of Faltings's theorem (Mordell's conjecture): a curve of genus at least two over a number field has finitely many rational points. Our argument utilize…
math.NT2018★ 24 cited
The orbit method and analysis of automorphic forms
Paul D. Nelson, Akshay Venkatesh
We develop the orbit method in a quantitative form, along the lines of microlocal analysis, and apply it to the analytic theory of automorphic forms. Our main global application is…