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  1. ; (, Journal of Topology)
    Abstract In this paper, generalizing our previous construction, we equip the relative moduli stack of complexes over a Calabi–Yau fibration (possibly with singular fibers) with a shifted Poisson structure. Applying this construction to the anticanonical linear systems on surfaces, we get examples of compatible Poisson brackets on projective spaces extending Feigin–Odesskii Poisson brackets. Computing explicitly the corresponding compatible brackets coming from Hirzebruch surfaces, we recover the brackets defined by Odesskii–Wolf. 
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  2. ; (, manuscripta mathematica)
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  3. ; (, Mathematische Annalen)
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  4. ; (, Journal of Geometry and Physics)
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  5. ; ; (, American Journal of Mathematics)
    Abstract: We prove that the moduli of stable supercurves with punctures is a smooth proper DM stack and study an analog of the Mumford's isomorphism for its canonical line bundle. 
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  6. (, Communications in Mathematical Physics)
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  7. ; (, Symmetry, Integrability and Geometry: Methods and Applications)
    We give explicit formulas for ten compatible Poisson brackets on $$\mathbb P^5$$ found in arXiv:2007.12351. 
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  8. ; (, Israel Journal of Mathematics)
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  9. ; ; (, Journal of Algebraic Geometry)
    We study the elliptic zastava spaces, their versions (twisted, Coulomb, Mirković local spaces, reduced) and relations with monowalls moduli spaces and Feigin-Odesskiĭ moduli spaces of G G -bundles with parabolic structure on an elliptic curve. 
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  10. ; (, Advances in Mathematics)
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