Measured group theory, ergodic theory, and all that jazz.
Previously postdoc @ McGill University working with Anush Tserunyan and Marcin Sabok, and
postdoc with Damien Gaboriau @ École Normale Supérieure de Lyon.
Former PhD student of Miklós Abért at Central European University.
Email: samuel.mellick[in French they call it arobas]uj.edu.pl
Gaboriau's criterion and fixed price one for locally compact groups, solo dolo. See arXiv.
Poisson-Voronoi tessellations and fixed price in higher rank, joint with Mikolaj Fraczyk and Amanda Wilkens
Point processes, cost, and the growth of rank in locally compact groups, joint with Miklós Abért. See arXiv (accepted in Israel Journal of Mathematics).
The Palm groupoid of a point process and factor graphs on amenable and Property (T) groups
, solo dolo. See arXiv.
A lot. McGill, Centre de Recherches Mathématiques, Centre International de Rencontres Mathématiques, Université Paris Cité...
Tumbleweed...
Computing the cost on nondiscrete groups with factors of IID @ UT Austin Groups and Dynamics online seminar (watch on YouTube)
Visualising actions, computing cost, and fixed price for G x Z @ “Descriptive Dynamics and Combinatorics” of McGill University (slides)
The cost of point processes, invited guest @ DYOGENE Project of Centre Inria de Paris.
Point processes on groups, their cost, and fixed price for G x Z @ Ergodic and Geometric Group Theory of École Polytechnique Fédérale de Lausanne