We contributed genome rearrangement analysis to mouse, rat, and chicken genome sequencing projects (Waterston et al., Nature 2002, Gibbs et al., Nature 2004, Hillier et al., Nature 2004) and further used it to discover the phenomenon of microinversions (Pevzner and Tesler, Genome Research 2003, Chaisson et al., PNAS, 2006). My group was also involved in studies of relationships between rearrangements and duplications (Jiang et al., Nature Genetics 2007, Alekseyev and Pevzner, SODA 2007, SIAM Journal of Computing 2007, Pu et al., Genome Research 2018) and further moved to studies of rearrangements in cancer genomes (Volik et al., Genome Research 2006). We also developed a spliced alignment algorithm (Gelfand et al., PNAS 1996), one of the first comparative genomics approaches in bioinformatics that influenced many follow-up gene prediction algorithms. Recently we developed UniAligner for aligning highly-repetitive genomic regions, such as centromeres (Bzikadze and Pevzner, Nature Methods 2023). My lab has further contributed to analyzing the newly sequenced centromeres in the first telomere-to-telomere sequencing of the human genome (Nurk et al., Science 2022, Bzikadze et al., Genome Res. 2022, Kunyavskaya et al., Genome Res. 2022).