for conceiving and designing the Laser Interferometer Gravitational-Wave Observatory (LIGO), whose recent direct detection of gravitational waves opens a new window in astronomy, with the first remarkable discovery being the merger of a pair of stellar mass black holes.
for their discovery of the genes and the encoded proteins that recognize one chemical modification of the DNA of chromosomes that influences gene control as the basis of the developmental disorder Rett syndrome.
for his far-reaching contributions to geometry, representation theory and theoretical physics. The fundamental and elegant concepts and techniques that he has introduced have had wide impact and are of lasting importance.
for his conceiving and leading the Kepler Mission, which greatly advanced knowledge of both extrasolar planetary systems and stellar interiors.
for elucidating the molecular mechanism of quorum sensing, a process whereby bacteria communicate with each other and which offers innovative ways to interfere with bacterial pathogens or to modulate the microbiome for health applications.
for their introduction and development of fundamental tools in number theory, allowing them as well as others to resolve some longstanding classical problems.