[5][3] Starting with the Nadadores at only 23 in 1972, he grew the team from 50 to 500 members, with his swimmers winning 17 total Olympic medals, 124 National Championships, and five World titles.

[4] He coached the University of Texas Women's team from 1989 to 1992 where he mentored NCAA champions, including Leigh Ann Fetter, Whitney Hedgepeth, and backstroker Beth Barr.

In 1997, with the aid of such swimmers as Olympic gold medalist Lindsay Benko, he led the Women's team to his third NCAA championship.

In early 2022, Schubert departed with some pro swimmers to coach at the Saddle Back El Toro (SET) Swim team.

[2] He has coached many swimming greats such as Shirley Babashoff, Brian Goodell, Mike O'Brien, Janet Evans, Tiffany Cohen, Cynthia Woodhead, Lenny Krayzelburg, and Jill Sterkel.

He would coach 1988 Olympian and backstroke specialist Beth Barr at UT, but after she had earned her silver medal in the 4x100 medley relay in the Seoul Olympics.

More recent swimmers include Jarett Maycott, USA swimming managing director Lindsay Benko, Jessica Hardy, Erik Vendt, Larsen Jensen, Ous Mellouli, Bernard Mendez, Kristine Quance, Khoa Tran, Dara Torres and Kaitlin Sandeno.