Question: For what film did the actor, for whose Hamlet Claire van Kampen composed the music, win an Academy Award ?

Context paragraphs:
Farinelli and the King: Farinelli and the King is a 2015 play with music by Claire van Kampen.  It received its world premiere production at the Sam Wanamaker Playhouse, London on 11 February 2015, running until 7 March.  The production transferred to the Duke of York's Theatre where it was co-produced by Sonia Friedman, again starring Mark Rylance.  It played a limited run from 14 September 2015 until 5 December.

Mark Rylance: Sir David Mark Rylance Waters (born 18 January 1960) is an English actor, theatre director, and playwright.  He was the first artistic director of Shakespeare's Globe in London, from 1995 to 2005.  His film appearances include "Prospero's Books" (1991), "Angels and Insects" (1995), "Institute Benjamenta" (1996), and "Intimacy" (2001).  Rylance won the Academy Award and the BAFTA Award for Best Supporting Actor for his portrayal of Rudolf Abel in "Bridge of Spies" (2015).

Nice Fish: Nice Fish is a 2016 play by Mark Rylance, co-written with Louis Jenkins and adapted from poems by the latter.  It received its world premiere production at St. Ann's Warehouse, New York, on 14 February 2016, running until 27 March.  The production starred Rylance, and was directed by Claire van Kampen.

Sam Crane (actor): Sam Crane (born 1979) is an English actor who has mainly worked in theatre.  He is best known for playing Winston Smith in Headlong's production of 1984 in the West End and Fred Walters in the BBC's six-part drama series "Desperate Romantics".  In 2015 he will play the eponymous castrato in Claire van Kampen’s "Farinelli and the King" opposite Mark Rylance

The Square (2008 film): The Square is a 2008 Australian neo-noir thriller film directed by Nash Edgerton, written by his brother Joel Edgerton and Matthew Dabner, and starring David Roberts and Claire van der Boom.  Based upon an original idea by Joel, the project was written and then shelved by the actor because he felt it was not strong enough.  It was only made after his director brother Nash read the script and convinced him it could be filmed as a thriller.  The film premiered in competition at Sydney Film Festival on 15 June 2008 and after that had a limited release in Australia on 31 July 2008, and was released in North America in 2010 by Apparition.

Claire van Kampen: Claire Louise van Kampen, Lady Rylance (born November 1953) is an English musical director, director, composer and playwright.  She composed the music for Mark Rylance's 1989 performance as Hamlet and shared the 2007 Sam Wanamaker Award with him.  Her composing credits include music for productions of the plays "Days and Nights" and "Boeing-Boeing".

Geoffrey Rush: Geoffrey Roy Rush {'1': ", '2': ", '3': ", '4': "} (born 6 July 1951) is an Australian actor and film producer.  Rush is the youngest amongst the few people who have won the "Triple Crown of Acting": the Academy Award, the Primetime Emmy Award, and the Tony Award.  He has won one Academy Award for acting (from four nominations), three British Academy Film Awards (from five nominations), two Golden Globe Awards and four Screen Actors Guild Awards. Rush is the founding President of the Australian Academy of Cinema and Television Arts and was named the 2012 Australian of the Year.  He is also the first actor to win the Academy Award, BAFTA Award, Critics' Choice Movie Award, Golden Globe Award, and Screen Actors Guild Award for a single performance in film for his performance in "Shine" (1996).

Chronic (film): Chronic is a 2015 Franco-Mexican drama film written and directed by Michel Franco.  The film stars Tim Roth, alongside a supporting cast featuring Bitsie Tulloch, David Dastmalchian, Tate Ellington, Claire van der Boom, Maribeth Monroe, Robin Bartlett, and Sarah Sutherland.

Claire van der Boom: Claire van der Boom (born 1983) is a Logie Award winning Australian film, television and theatre actress of Dutch ancestry.  Internationally, she is best known for her appearance as Stella in the HBO miniseries "The Pacific", and her recurring role playing the ex-wife of Det. Danny Williams in the 2010 remake of "Hawaii Five-O".

Luke Eve: Luke Eve (born 1974) is an Australian screen director and producer.  Originally a freelance photographer, he transitioned into directing music videos and commercials before moving into film and television.  Eve was the winner of Tropfest 2005 with his film "Australian Summer".  He was the series director of "SEX: An Unnatural History" and the 2012 ABC series "Great Southern Land".  In 2014, he created, produced, and directed the ground-breaking, critically acclaimed series "Low Life", a black comedy about depression starring Henry Nixon and Claire van der Boom.

Supporting paragraphs: Claire van Kampen Mark Rylance
Answer: Bridge of Spies