Corey began training at the age of 13, with Actors Studio instructors Susan Batson and Sandra Seacat. At age 14 Corey was accepted into the famed High School of Performing Arts in Times Square. During that time he studied with Anthony Abeson and with Moscow Art Theater instructor Marat Yusim. At 16, Corey was given the chance to work as stage manager in an off-Broadway production at the request of Pulitzer Prize winning playwright Charles Gordone, a family friend.

At 17, Corey graduated from the High School of Performing Arts in Manhattan with Honors and attended New York University under full scholarship. He left early when Lorimar flew him to London to work with director Michael Winner. Corey then trained with the renowned acting coach Mira Rostova.
Corey continued his training by working with the acclaimed instructors Uta Hagen and Herbert Berghof. On stage, Corey appeared in three productions under the direction of Mr. Berghof, including: “Old Flag” by New York Times film critic Vincent Canby, and “Blind Date” by Horton Foote (who requested that Corey reprise his role in a separate production at the Ensemble Studio Theater).

Herbert Berghof and Uta Hagen worked together with Corey, as he ran from rehearsals to class and back again, instilling in him their legendary sense of tradition and discipline.
At the Ensemble Studio Theatre, where Corey is a lifetime member, Corey starred in numerous productions of full length and one act plays. “Ring of Men” with Jesse L. Martin, “Bloodletters” by Richard Greenberg, “Been Taken” by Roger Hedden (directed by Billy Hopkins) “Rose Cottages” (directed by Risa Bramon Garcia), “The Semi Formal” and others.

Corey starred in the Steppenwolf Theater Production of “Orphans,” directed by Gary Sinise, replacing Kevin Anderson. At the Public Theatre, under artistic director Joseph Papp, Corey appeared in the full production of Young Playwrights Festival and staged readings of “Coming of Age” in SOHO by Obie winner Albert Innaurato.Other theater credits: “Viaduct” at the American Place, “One O’ Clock”—a reading at Circle Rep, directed by Obie Award winner Lanford Wilson, and a reading of “Red Storm Flower” by John Patrick Shanley. In Los Angeles, Corey starred at the Mark Taper Theater with Tom Hulce in “Nothing Sacred,” an adaptation of Turgenev’s “Fathers and Sons” directed by Michael Lindsay-Hogg. In addition, Corey starred in “FIVE” at the Ensemble Studio Theater LA. Corey has taken part in many staged readings, with the likes of John Malkovich, Marsha Mason, Tea Leone as well as readings for JJ Abrams, Brandon Tartikoff and Arnon Milchan.
Corey was made a lifetime member of the Actors Studio in New York-- at the age of 20.

Mike Nichols cast Corey as Epstein in “Biloxi Blues,” working with Christopher Walken, Mathew Broderick, and Neil Simon.  Later, Corey was tapped by Neil Simon to play the younger version of him in ABC’s movie of “Broadway Bound,” with Anne Bancroft, Johnny Silverman, Hume Cronyn and Jerry Ohrbach. On ABC’s “thirtysomething,” Corey played the recurring role of Lee, the painter/heartthrob. In Season 4, Edward Zwick and Marshall Herskovitz offered Corey the option of becoming a series regular on “thirtysomething,” while at the same time ABC offered to Corey a starring role alongside Treat Williams in “Eddie Dodd,” an adaptation of “True Believer.” ABC agreed that while Corey filmed the lead in Eddie Dodd, he could concurrently shoot his recurring role on “thirtysomething,” which he did. Corey was asked to appear onstage at the 61st Academy Awards with a select group of young actors. Soon afterward, he received the call from Neil Simon to join the cast of his play being made into the ABC movie “Broadway Bound.”

Afterwards, Corey flew to London to work on the BBC/PBS coproduction of “Lost Language of Cranes” with Angus McFadyen, Brian Cox and Eileen Atkins. Corey has starred in the 20th Century Fox film, “How I got into College,” Universal’s “White Palace” with James Spader and Susan Sarandon, Viacom’s “Big Man on Campus,” Lorimar’s “Scream For Help,” “Mr. and Mrs. Loving” with Timothy Hutton and Lela Rochon,“I’m Dangerous Tonight” with Anthony Perkins and Madchen Amick,“At Mother’s Request” on CBS with E.G. Marshall, Adrian Lyne’s “9 1/2 Weeks with Kim Basinger and Mickey Rourke, a deleted scene with Mickey Rourke in Alan Parker’s “Angel Heart,” and “A Mother’s Prayer” with Linda Hamilton and Bruce Dern, and “Grandpa’s Funeral” a short with Jon Favreau.

Corey starred as the series lead in “Flying Blind” with Tea Leoni on the Fox Network. He has starred on CBS in the television movies “Destiny, the Liz Taylor Story,” “Courage” with Sophia Loren; “Encino Woman” for ABC. Other series regular roles include Aaron Spelling’s “Love Boat,” as Doctor Morgan and “Blue Skies”  on ABC with Richard Kind. He was guest star in “Touched by an Angel” and had the first recurring role on“Will and Grace.” Corey appeared on ABC’s “Nashville” with Connie Britton, “Sun Records” from CMT as well as numerous indies. Recent theater credits include “Sylvia” and “Zoo Story.”

Corey’s films have been seen at Cannes Film Festival, London Film Festival, Berlin Film Festival, Worldfest, Slamdance, London Gay and Lesbian Film Festival and the Los Angeles Gay and Lesbian Film Festival.