Gregor Mendel, known as the father of modern genetics, established the foundational laws of inheritance: the law of dominance, law of segregation, and law of independent assortment based on his experiments with pea plants. His third law states that genes for different traits segregate independently during gamete formation, contributing to genetic diversity. Mendel's research, which gained recognition posthumously, has become crucial in understanding genetic inheritance patterns and limitations such as gene linkage.