Explore the innovative approach to horizontal gene transfer phylogenetics through a 43-minute conference talk from the Computational Genomics Summer Institute (CGSI) 2022. Delve into the random walk method for analyzing evolutionary relationships in the presence of lateral genetic transfer. Examine the speaker's research, which builds upon three related papers discussing probabilistic analyses, genome-wide approaches for prokaryotic phylogeny, and recovering treelike trends in evolution despite extensive horizontal gene transfer. Gain insights into cutting-edge computational techniques used to unravel complex evolutionary histories and their implications for understanding microbial genome evolution.