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Preprints
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Goncharov depth conjecture in weight six and depth
two (joint with A. Matveiakin),
in preparation.
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Cluster polylogarithms on the configuration space (joint with A. Matveiakin),
in preparation.
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On the Goncharov depth conjecture and a formula for volumes of orthoschemes,
arXiv: 2012.05599,
submitted.
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Motivic correlators, cluster varieties and Zagier's conjecture on zeta(F,4) (joint
with
A. Goncharov),
arXiv: 1803.08585,
submitted.
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On the functional equations for polylogarithms in one variable,
arXiv:
1511.09110.
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Arithmetic of 3-valent graphs and equidissections of flat surfaces,
arXiv: 1411.0285,
submitted.
Publications
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Rational Elliptic Surfaces and the Trigonometry of Tetrahedra,
Inventiones mathematicae, 2021.
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The Strong Suslin Reciprocity Law,
Compositio Mathematica, 157(4), 649-676.
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On the strong Suslin reciprocity law,
Functional Analysis and Its Applications, 50(1), pp. 79-84 (2016).
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On equidissection of balanced polygons,
Journal of Mathematical Sciences 190 (3), pp. 486-495 (2013).