his 40s, and finished his PhD thesis at the age of 60. Marjorie Rice, an amateur mathematician with no formal education in mathematics beyond high school, did not begin studying tessellations until December 1975; as she was born in 1923, this means she was either 51 or 52 when she began, depending on her birthday. She discovered four new types of tessellating pentagons in 1976 and 1977. Caspar Wessel published his only mathematics paper at the age of 54. Yitang Zhang submitted a paper to the Annals of Mathematics in 2013, at the age of 58, which established the first finite bound on the least gap between consecutive primes that is attained infinitely often. This work led to a 2013 Ostrowski Prize, a 2014 Cole Prize, a 2014 Rolf Schock Prize, and a 2014 MacArthur Fellowship. Zhang became a professor of mathematics at the University of California, Santa Barbara in fall 2015. Roger Apéry proved Apéry's theorem at the age of 63. Music Musical ability is inherent in almost all people, to a greater or lesser extent. However, those who develop it to a high level are generally encouraged to play an instrument or to sing at an early age. Late bloomers in music are generally composers or artists who became prominent later in life, but had displayed musical ability much earlier. Anton Bruckner is an example of a musical late bloomer. Although he played church organ some in his twenties he did not become a composer until his 40s. Singer K. T. Oslin released her first album at age 47 which was a major country music success. Al Jarreau is also an example, who released his first album at age 35. AERIA Recording Artist Colie Brice released his 10th solo album Late Bloomer at 39. Elliott Carter did not achieve compositional maturity until his Cello Sonata (1948), when he was 40. César Franck and Leoš Janáček also matured late as composers: Franck at 56, with his Symphony no. 1 in D; and Janáček at 50, with Jenůfa" (1904). Iannis Xenakis did not even begin studying composition until 30, with Messiaen. Leonard Cohen did not release his first album until he was 33 years old. Doug Seegers did not reach fame until he was 61–62 years old. Filmmaking Though many filmmakers begin directing in their late 20s or early 30s, many of the most notable directors in film history waited