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19982026
most citedThe Atiyah class, Hochschild cohomology and the Riemann-Roch theorem

48 citations · 85 across the 11 of their papers we have counts for

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math.AG2026

Pentagram relations

Nikita Markarian

We study the cohomology of iterated Kummer extensions on the moduli space of five-pointed rational curves, continuing [arXiv:2609.19341, arXiv:2609.21356]. A two-dimensional shrink…

math.AG2026

Double shuffle relations via the Hodge defect

Nikita Markarian

We interpret the convolution constructions of [arXiv:2604.26357] in Hodge-theoretic terms, extending the Hodge defect calculation of [arXiv:2609.19341]. For Hodge--Tate modules on…

math.AG2026

The Drinfeld associator and functors

Nikita Markarian

We compare two mixed Hodge structures attached to a unipotent variation of mixed Hodge--Tate structures on : the cohomology of its e…

math.AG2026

Harmonic sums and the Galois group of the Mellin-KZ difference equation

Nikita Markarian

We identify the universal Galois group of the difference equation obtained by the Mellin transform of the Knizhnik-Zamolodchikov equation with the prounipotent group associated wit…

math.AG2026

Multiplicative convolution and double shuffle relations

Nikita Markarian

We develop a geometric approach to the regularized double shuffle relations for multiple zeta values, based on convolution of perverse sheaves on and inspired by the…