Question: What is the division that the college basketball team, which represents the city known as the home to the headquarters of the United Nations, competes in?

Context paragraphs:
CCNY Beavers men's basketball: The CCNY Beavers men's basketball team is the basketball team that represents City College of New York in New York City, New York, United States.  The school's team currently competes in the City University of New York Athletic Conference.  In 1950, CCNY became the only school to win both the NCAA Men's Division I Basketball Championship and the National Invitation Tournament in the same season.  However, this accomplishment was overshadowed by a point shaving scandal.  CCNY would de-emphasize basketball and move to Division III.

Tulane Green Wave men's basketball: The Tulane Green Wave men's basketball team represents Tulane University in NCAA Division I college basketball.  The team competes in the American Athletic Conference.  They play home games on campus in Devlin Fieldhouse, the 9th-oldest active basketball venue in the nation.  The team's last appearance in the NCAA Division I Men's Basketball Tournament was in 1995.

NYU Violets men's basketball: The NYU Violets men's basketball team is the college basketball team that represents New York University, located in New York City.  The team currently competes in NCAA Division III as a member of the University Athletic Association.  NYU previously competed as a NCAA Division I program until 1971, when the team was disbanded due to a budget crisis.  The team was reinstated in 1983 as a Division III program.

New York City: The City of New York, often called New York City or simply New York, is the most populous city in the United States.  With an estimated 2016 population of 8,537,673 distributed over a land area of about 302.6 sqmi , New York City is also the most densely populated major city in the United States.  Located at the southern tip of the state of New York, the city is the center of the New York metropolitan area, one of the most populous urban agglomerations in the world.  A global power city, New York City exerts a significant impact upon commerce, finance, media and entertainment, art, fashion, research, technology, education, politics, and sports, its fast pace defining the term "New York minute".  Home to the headquarters of the United Nations, New York is an important center for international diplomacy and has been described as the cultural, financial, and media capital of the world.

Michigan State Spartans men's basketball: The Michigan State Spartans men's basketball team represents Michigan State University (MSU) and competes in the Big Ten Conference of NCAA Division I College basketball.  Their home games are played at the Breslin Student Events Center.  Tom Izzo has been the head coach since 1995.  The Spartans have won two NCAA championships and 13 Big Ten Conference Championships.  Their two National Championships came in the 1979 NCAA Tournament and the 2000 NCAA Tournament.  The 1979 National Championship Game was the most watched college basketball game in history, with 35.11 million television viewers.  The 1979 National Championship team was coached by Jud Heathcote and included tournament MVP Magic Johnson, Greg Kelser and Jay Vincent.  The Spartans defeated the previously unbeaten Indiana State Sycamores, led by future Hall of Famer Larry Bird.  The 2000 National Championship team defeated the Florida Gators in the final.  The team was coached by Tom Izzo and led by players Morris Peterson, Charlie Bell, Jason Richardson and tournament MVP Mateen Cleaves.

San Diego Toreros men's basketball: The San Diego Toreros men's basketball team is a college basketball team that represents the University of San Diego in San Diego, California.  The school's team currently competes in the West Coast Conference.  The team played in the NCAA Division I Men's Basketball Tournament in 2008.

Detroit Titans women's basketball: The Detroit Titans women's basketball team is the college basketball team that represents the University of Detroit Mercy in Detroit, Michigan, and competes in NCAA Division I women's basketball as a member of the Horizon League.

Notre Dame Fighting Irish men's basketball: The Notre Dame Fighting Irish men's basketball team is the intercollegiate men's basketball program representing the University of Notre Dame in Notre Dame, Indiana, United States.  The program competes in the Atlantic Coast Conference of NCAA Division I.  On September 12, 2012, Notre Dame announced they would be moving to the Atlantic Coast Conference; they joined the conference on July 1, 2013.  The school holds two retroactively awarded national championships in basketball from the Helms Foundation: for the 1927 (19–1 overall record) and 1936 (22–2–1 overall record) seasons.  They have also played in the NCAA Tournament 35 times, good for 9th all time, and reached the Final Four in 1978.  They are also the first Big East team to go undefeated at home two straight seasons.  They play their home games in the Purcell Pavilion at the Edmund P. Joyce Center.  Since moving to the Purcell Pavilion in 1968, they have had 44 winning seasons at the Purcell Pavilion, including 5 undefeated seasons at home (1973, 1985, 2006, 2007, and 2010) and have had only 4 losing seasons at the Purcell Pavilion (1971, 1981, 1992, and 1995).  Jeff Sagarin and ESPN listed the program 12th in the college basketball all-time rankings in the "ESPN College Basketball Encyclopedia".  The Fighting Irish are currently coached by Mike Brey.

2010–11 Princeton Tigers men's basketball team: The 2010–11 Princeton Tigers men's basketball team represented Princeton University in intercollegiate college basketball during the 2010–11 NCAA Division I men's basketball season.  The head coach was Sydney Johnson, who was in his fourth season.  The team's tri-captains were senior Kareem Maddox, senior Dan Mavraides, and junior Patrick Saunders.  The team played its home games in the Jadwin Gymnasium on the University campus in Princeton, New Jersey.  The team competes in the Ivy League athletic conference.  The team was coming off of a 22–9 2009–10 season in which it achieved the most wins by a Tigers men's basketball team since the 1998–99 team and its first back-to-back finishes of at least second place in the Ivy since 2001–02 season.  The team was also following on the heels of its first postseason appearance since the 2003–04 team went to the 2004 NCAA Men's Division I Basketball Tournament, and its first postseason victory since the 1998–99 team won two games in the 1999 National Invitation Tournament.

Detroit Titans men's basketball: The Detroit Mercy Titans men's basketball team is the college basketball team that represents the University of Detroit Mercy in Detroit, Michigan, and competes in NCAA Division I men's basketball as a member of the Horizon League.  Traditionally, the Titans have been a fairly strong "mid-major" program, advancing to the Sweet Sixteen in 1977 and to the Round of 32 twice during the 1990s.

Supporting paragraphs: NYU Violets men's basketball New York City
Answer: NCAA Division III as a member of the University Athletic Association.