Michael Levin is interested in topology and topological dynamics.
[1] Jerzy Dydak, Michael Levin and Jeremy Sieger, Universal spaces for asymptotic dimension via factorization. Canad. Math. Bull.67 (2024), no.2, 391–402.
[2] Michael Levin, Resolving compacta by free p-adic actions. Fund. Math.255 (2021), no.2, 181–207.
[3] Michael Levin, On the unstable intersection conjecture. Geom. Topol. 22 (2018), no. 5, 2511–2532.
Łukasz Pawelec is working in two directions. One is the dynamics of
entire maps, where he currently studies the behaviour (topological and measure-theoretic) of hairs (and similar objects) for the exponential maps, see [1].
Also, he is interested in ergodic theory, mostly in the recurrence
properties and their applications, e.g. [2].
[1] Łukasz Pawelec, Anna Zdunik, Indecomposable continua in
exponential dynamics - Hausdorff dimension,
Topology and its Applications 178 (2014) 393–410.
[2] Łukasz Pawelec, Mariusz Urbański, Estimating Hausdorff measure for Denjoy maps, Nonlinearity 36 (2023) 6224–6238.