3 papers
math.NT2021
The Taylor-Wiles method for coherent cohomology, II
Stanislav Atanasov, Michael Harris
We show that the Taylor-Wiles method can be applied to the cohomology of a Shimura variety of PEL type attached to a unitary similitude group , with coefficients in the cohe…
math.CO2016
Counting Finite Index Subrings of
Stanislav Atanasov, Nathan Kaplan, Benjamin Krakoff +1
We count subrings of small index of , where the addition and multiplication are defined componentwise. Let denote the number of subrings of index . For an…
math.AG2016
A note on Brill--Noether existence for graphs of low genus
Stanislav Atanasov, Dhruv Ranganathan
In an influential 2008 paper, Baker proposed a number of conjectures relating the divisor theory of algebraic curves with an analogous combinatorial theory on finite graphs. In thi…