A longstanding goal of biology is to identify the key genes and species that critically impact
evolution, ecology, and health. Network analysis has revealed keystone species that …

Darwinian fitness is a central concept in evolutionary biology. In practice, however, it is
hardly possible to measure fitness for all genotypes in a natural population. Here, we …

Darwinian evolution is driven by random mutations, genetic recombination (gene shuffling)
and selection that favors genotypes with high fitness. For systems where each genotype can …

Large-scale genotype-phenotype screens provide a wealth of data for identifying molecular
alterations associated with a phenotype. Epistatic effects play an important role in such …

Despite being the widely-used gold standard for linking common genetic variations to
phenotypes and disease, genome-wide association studies (GWAS) suffer major limitations …

Medical practice would benefit from a thorough understanding of constraints and uncertainty
in microbial evolution. Higher order epistasis refers to unexpected effects of multiple …

Complex traits are heritable traits that do not obey monogenic Mendelian inheritance laws.
These traits, including for example height, cannot be explained by a single genetic variation …

Large-scale genotype-phenotype screens provide a wealth of data for identifying molecular
alternations associated with a phenotype. Epistatic effects play an important role in such …

A longstanding goal of biology is to identify the key genes and species that critically impact
evolution, ecology, and health. Network analysis has revealed keystone species that …

In this thesis, we use techniques from polyhedral geometry and statistics in order to detect
and quantify biological interactions within a system of genes or species described by a given …