Question: Which of the people that Branden W. Joseph wrote about was instrumental in the development of modern dance?

Context paragraphs:
Branden W. Joseph: Branden Wayne Joseph is the Frank Gallipoli Professor of Modern and Contemporary Art in the department of Art History and Archaeology at Columbia University.  Prior to coming to Columbia in the fall of 2006, Joseph taught at the University of California, Irvine.  He is the author of "Random Order: Robert Rauschenberg and the Neo-Avant-Garde", contributing author to "" and an editor of the journal "Grey Room", a multi-disciplinary journal of architecture, art, media and politics.  He has published books about Robert Rauschenberg, Andy Warhol, John Cage, Diane Arbus, Buckminster Fuller, Robert Morris, Pat O'Neill, and Anthony McCall.  He has a Ph.D. from Harvard University.

Rapture (Bradley Joseph album): Rapture is the second album by Bradley Joseph, and his debut album on the Narada label, released in March 1997.  This is an instrumental album in which Joseph wrote and conducted all of the scores.  In addition to incorporating a core band including violinist Charlie Bisharat and drummer Charlie Adams, he used a 50-piece orchestra.  It is an "expression of a life's work and dreams", featuring intimate piano pieces, quartets and full orchestrations, "combining smooth jazz with contemporary instrumental themes".  It reached New Age Voice (NAV)'s "Airwaves Top 30" at No. 15 in July 1997.

Graham technique: Graham technique is a modern dance movement style and pedagogy created by American dancer and choreographer Martha Graham (1894–1991).  Graham technique has been called the "cornerstone" of American modern dance, and has been taught worldwide.  It is widely regarded as the first codified modern dance technique, and strongly influenced the later techniques of Merce Cunningham, Lester Horton, and Paul Taylor.

Pina Bausch: Philippina "Pina" Bausch (27 July 1940 – 30 June 2009) was a German performer of modern dance, choreographer, dance teacher and ballet director.  With her unique style, a blend of movement, sound, and prominent stage sets, and with her elaborate collaboration with performers during the development of a piece (a style now known as " Tanztheater "), she became a leading influence in the field of modern dance from the 1970s on.  She created the company "Tanztheater Wuppertal Pina Bausch" () which performs internationally.

Free dance: Free dance is a 20th-century dance form that preceded modern dance.  Rebelling against the rigid constraints of classical ballet, Loie Fuller, Isadora Duncan and Ruth St. Denis (with her work in theater) developed their own styles of free dance and laid the foundations of American modern dance with their choreography and teaching.  In Europe Rudolf Laban, Emile Jaques-Dalcroze and François Delsarte developed their own theories of human movement and methods of instruction that led to the development of European modern and Expressionist dance.

Willy Tsao: Willy Tsao is a Chinese modern dance choreographer.  He runs three major modern dance companies in China.  He is the Founder and Artistic Director of City Contemporary Dance Company (Hong Kong) and BeijingDance / LDTX, as well as the Managing Director of Guangdong Modern Dance Company.

John Cage: John Milton Cage Jr. (September 5, 1912 – August 12, 1992) was an American composer, music theorist, writer, philosopher, and artist.  A pioneer of indeterminacy in music, electroacoustic music, and non-standard use of musical instruments, Cage was one of the leading figures of the post-war avant-garde.  Critics have lauded him as one of the most influential composers of the 20th century.  He was also instrumental in the development of modern dance, mostly through his association with choreographer Merce Cunningham, who was also Cage's romantic partner for most of their lives.

Contemporary dance in Japan: Western schools covered classical ballet, jazz-dance, and modern dance and influenced the butoh avant-garde dance movement.  Ballet was said to have replaced traditional Japanese arts, such as flower arrangement and the tea ceremony, in the hearts of young girls.  Prima ballerina Morishita Yoko sat on the jury for the Prix de Lausanne Ballet Competition in 1989, held for the first time in Tokyo, marking the arrival of Japanese classical ballet in the international community.  Horiuchi Gen, a 1980 Prix de Lausanne winner, became a major soloist with the New York City Ballet, and Japanese performers noted for their superb technique were members of many major international companies.  Modern dance was performed early after World War II and was later taught by such famous dancers as Eguchi Takaya.  The Tokyo Modern Dance School and the Ozawa Hisako Modern Dance Company also promoted avant-garde modern dance.  A wide experimental range within modern dance occurred from which choreographer Teshigawara Saburo skillfully drew to create multifaceted works for his KARAS Company.

Edna Guy: Edna Guy (1907–1982) was an African-American modern dance pioneer.  Born in 1907 in Summit, New Jersey, Guy lived at a time when blacks and whites did not appear on stage together.  At the age of fifteen she begged her mother to take her to a dance concert in Greenwich Village where she watched Modern Dance pioneer Ruth St. Denis perform the Incense Dance.  From that point onwards Guy developed a lifelong relationship with modern dance world, especially in the African- American context.

John Martin (dance critic): John Martin (June 2, 1893 - May 19, 1985) became America's first major dance critic in 1927.  Focusing his efforts on propelling the modern dance movement, he greatly influenced the careers of dancers such as Martha Graham.  Within his life he wrote several books on the modern dance and received numerous awards for his work.

Supporting paragraphs: Branden W. Joseph John Cage
Answer: John Cage