Question: What town did Nate Leaman coach the Union Dutchmen?

Context paragraphs:
Union Dutchmen: The Union Dutchmen are composed of 24 teams representing Union College in intercollegiate athletics, including men and women's basketball, crew, cross country, ice hockey, lacrosse, soccer, swimming & diving, tennis, and track and field.  Men's sports include baseball and football.  Women's sports include field hockey, golf, softball, and volleyball.  The Dutchmen compete in the NCAA Division III and are members of the Liberty League for all sports except ice hockey, which competes in NCAA Division I, as a member of ECAC Hockey.

John Audino: John Audino (born June 5, 1953) is an American football coach and former player.  He is the tight ends coach and passing game coordinator at Columbia University.  Audino served as the head football coach at Kean University from 1990 to 1992 and at Union College in Schenectady, New York from 1992 to 2015.  Audino guided the Union Dutchmen to six Eastern College Athletic Conference (ECAC) Northwest Championship titles and four Liberty League titles.

Jack Leaman: Jack Leaman (December 22, 1932 – March 6, 2004) was an American basketball coach,best known as the head coach of the University of Massachusetts Amherst men's basketball team from 1966 to 1979.  to 1979 where his teams compiled an overall record of 217–126, the school's all-time winningest coach.  His teams won 8 Yankee Conference titles and earned 6 trips to the National Invitational Tournament.  A 2-time New England Coach of the Year, he was inducted into the Boston University Athletic Hall of Fame in 1977, the UMass Athletic Hall of Fame in 1988, and the New England Basketball Hall of Fame in 2003.  Some of the players he coached during his tenure include Julius Erving, Rick Pitino, and Al Skinner.  In all, he coached 22 All-Yankee Conference selections during his coaching career.  Leaman also served as a radio color commentator for UMass men's basketball for 10 seasons beginning in 1994, and served as head coach for the women's basketball team for the 1986–87 season.  The basketball court floor at the Mullins Center is named in his honor.

2014–15 Providence Friars men's ice hockey season: The 2014–15 Providence Friars men's ice hockey team represents Providence College in the 2014–15 NCAA Division I men's ice hockey season.  The team is coached by Nate Leaman, in his 4th season with the Friars.  The Friars play their home games at Schneider Arena on campus in Providence, Rhode Island, competing in Hockey East.  On April 11, 2015, the Friars defeated the Boston University Terriers 4–3 at TD Garden to win their first National Championship in school history.

Providence Friars men's ice hockey: The Providence Friars men's ice hockey team is a National Collegiate Athletic Association (NCAA) Division I college ice hockey program that represents Providence College.  The Friars are a member of Hockey East.  The skating Friars are currently coached by Nate Leaman has been the head coach of the skating Friars since 2011, leading them to a national championship in 2015.  They play at the 3,030-seat Schneider Arena in Providence, Rhode Island.

2013–14 Union Dutchmen ice hockey season: The 2013–14 Union Dutchmen ice hockey team represented Union College in the 2013–14 NCAA Division I men's ice hockey season.  The Dutchmen were coached by Rick Bennett, who was in his third season as head coach.  His assistant coaches were Joe Dumais, Jason Tapp, and John Ronan.  The team captain was Mat Bodie and the assistant captains were Daniel Carr and Shayne Gostisbehere.  The Dutchmen played their home games at Frank L. Messa Rink at Achilles Center and were members of the ECAC Hockey conference.

Nate Leaman: Nate Leaman (born November 27, 1972) is an American ice hockey coach.  He is currently the head coach for Providence.  He was previously head coach at Union.

Rick Bennett: Eric John "Rick" Bennett (born July 24, 1967) is a retired American ice hockey left winger.  He is currently the head coach of the Union Dutchmen ice hockey team at Union College where he is under contract to coach through the 2022-23 season.  He has led the Dutchmen to three ECAC Hockey regular season titles (2011–12, 2014-14 & 2016-17), three ECAC Hockey tournament titles (2012, 2013 & 2014), four NCAA Tournament appearances (2012, 2013, 2014 & 2017), two Frozen Fours (2012 & 2014) and one NCAA championship title (2014)by defeating Minnesota.  Bennett won ECAC Hockey's Tim Taylor Award for conference coach of the year twice (2012 & 2017) and won the American Hockey Coaches Association's Spencer Penrose Award for NCAA Division I coach of the year in 2014.

Kitchener-Waterloo Dutchmen (football): The Kitchener-Waterloo Dutchmen were a Canadian football team based in Kitchener, Ontario and a member of the Ontario Rugby Football Union, a league that preceded the Canadian Football League.  Other teams included the London Lords, Sarnia Imperials, Toronto Balmy Beach and Hamilton Wildcats.  The Dutchmen played in the ORFU from 1953 to 1959, winning four consecutive ORFU titles from 1954 to 1957, with quarterback Bob Celeri and coach Harvey Johnson.  The Dutchmen were the last ORFU team to have competed for the Grey Cup, losing to the Edmonton Eskimos in a semi-final game in 1954.  The following year, ORFU teams would discontinue competing for the national championship title after it became apparent that the ORFU could no longer be competitive in those games.  The Dutchmen ceased operations after the 1959 season, just one year before senior play in the ORFU would be discontinued.

Union Dutchmen ice hockey: The Union Dutchmen ice hockey team is a National Collegiate Athletic Association (NCAA) Division I men's college ice hockey program that represents Union College.  The Dutchmen are a member of ECAC Hockey.  They play at the Frank L. Messa Rink at Achilles Center in Schenectady, New York.  The women's team at the school go by "Dutchwomen".  The Dutchmen won the 2014 NCAA Division I Men's Ice Hockey Tournament by defeating the Minnesota Golden Gophers 7-4.

Supporting paragraphs: Nate Leaman Union Dutchmen ice hockey
Answer: Schenectady