Publications:

• M. Matviichuk, Elliptic log symplectic brackets on projective bundles, (2023) 26 pages, https://arxiv.org/abs/2310.05284 

• M. Matviichuk, B. Pym and T. Schedler, Holonomic Poisson geometry of Hilbert schemes, (2022) 46 pages, accepted to Geometry and Topology 🥳

• M. Finkelberg, M. Matviichuk and A. Polishchuk, Elliptic zastava, Journal of Algebraic Geometry (2022) 49 pages, https://doi.org/10.1090/jag/803 

• M. Matviichuk, B. Pym and T. Schedler, A local Torelli theorem for log symplectic manifolds, (2021) 66 pages, https://arxiv.org/abs/2010.08692  

• M. Matviichuk, Quadratic Poisson brackets and co-Higgs fields, (2020) 125 pages https://tspace.library.utoronto.ca/bitstream/1807/103628/1/Matviichuk_Mykola_202011_PhD_thesis.pdf  

• M.Gualtieri, M. Matviichuk and G. Scott, Deformation of Dirac structures via L-infinity algebras, IMRN (2020) 29 pages, https://doi.org/10.1093/imrn/rny134  

I used to work on discrete dynamical systems and Sharkovsky theorem. Here are my publications in that field

• • M. Matviichuk, D. Robatian, Chain transitive induced interval maps on continua, Discrete Contin. Dyn. Syst. 35 (2015), no. 2, 741-755. 

  • M. Matviichuk, On the dynamics of subcontinua of a tree, J. Difference Equ. Appl. 19 (2013), no. 2, 223-233. 

• S. Kolyada, M. Matviichuk, On extensions of transitive maps, Discrete Contin. Dyn. Syst. 30 (2011), no. 3, 767-777. 

• M. Matviichuk, On the set of periodic intervals of an interval map, Regul. Chaotic Dyn. 15 (2010), no. 2-3, 378-381. 

• M. Matviichuk, Entropy of induced maps for one-dimensional dynamics. Iteration theory (ECIT ‘08), 180-185, Grazer Math. Ber., 354 

• M. Matviichuk, Common periodic trajectories of two mappings, Ukrain. Mat. Zh. 60 (2008), no. 7, 937-948. 

• M. Matviichuk, A.N. Sharkovsky, Common periodic trajectories of interval maps, J. Fixed Point Theory Appl. 3 (2008), no. 1, 57-62.