Question: Who wrote the screenplay that Lee Towndrow worked as a visual effects artist on and directed by Todd Haynes?

Context paragraphs:
Paul Franklin (visual effects supervisor): Paul J. Franklin is an English visual effects supervisor who has worked with visual effects since the 1990s.  He is known for his long-running working relationship with director Christopher Nolan which dates back to "Batman Begins" (2005).  Franklin won the Academy Award for Best Visual Effects and the BAFTA Award for Best Special Visual Effects for "Inception" (2010), and won a second Academy Award for Best Visual Effects for "Interstellar" (2014).  He shared the wins with Andrew Lockley, Peter Bebb, and Chris Corbould.  Franklin has also been nominated for an Academy Award for "The Dark Knight" (2008).  He was nominated for BAFTA Awards for "Batman Begins", "The Dark Knight" (2008), and "The Dark Knight Rises" (2012).

Carey Villegas: Carey Villegas is a visual effects artist who was nominated at the 83rd Academy Awards in the category of Best Visual Effects, for the film "Alice in Wonderland".  His nomination was shared with Sean Phillips, Ken Ralston and David Schaub.  Also for Alice in Wonderland, Carey won the 2010 Golden Satellite Award for Best Visual Effects and was nominated for the British Academy Award (BAFTA), Critics Choice Award, Saturn Award, and the Visual Effects Society Award (VES) for "Outstanding Visual Effects in a Visual Effects Driven Motion Picture".

Christopher Townsend: Christopher Townsend is a visual effects supervisor.  He has worked in the visual effects industry for over 20 years.  For over a decade, he was an artist and supervisor at Industrial Light and Magic, and in 2007 became a freelance visual effects supervisor.  He worked on "Journey to the Center of the Earth", the first ever stereoscopic motion picture shot and released digitally, "Wolverine", "Ninja Assassin", "" and "".  He was nominated for a BAFTA and an Academy Award for Best Visual Effects for his work on "Iron Man 3", oversaw nearly 3000 shots on "" and was the overall supervisor for "Guardians of the Galaxy Vol.  2".  In 2015 he was given an Honorary Doctor of Arts degree by his alma mater, Coventry University.

Ken Ralston: Kenneth "Ken" Ralston (born 1954) is an American visual effects artist, currently the Visual Effect Supervisor and Creative Head at Sony Pictures Imageworks.  Ralston began his career at the seminal commercial animation and visual effects company, Cascade Pictures in Hollywood, where he worked on over 150 advertising campaigns in the early 1970s.  In 1976, he was hired at Industrial Light & Magic by Dennis Muren to help George Lucas create the effects for "Star Wars".  He remained in ILM for 20 years before joining Sony Pictures Imageworks as president.  Ralston is best known for his work in the films of Robert Zemeckis.

Carol (film): Carol is a 2015 British-American romantic drama film directed by Todd Haynes.  The screenplay, written by Phyllis Nagy, is based on the 1952 romance novel "The Price of Salt" (also known as "Carol") by Patricia Highsmith.  The film stars Cate Blanchett, Rooney Mara, Sarah Paulson, Jake Lacy, and Kyle Chandler.  Set in New York City during the early 1950s, "Carol" tells the story of a forbidden affair between an aspiring female photographer and an older woman going through a difficult divorce.

Lee Towndrow: Lee Towndrow is a visual artist based in New York City.  He has photographed Lena Dunham, Martin Amis, Dan Brown, Michael Chabon, and Sheila Heti.  He was the cinematographer for the title sequence and reenactments in the film His work has appeared in Time Magazine, The Paris Review, Das Magazin.  He has worked as a visual effects artist on the feature film Carol (film), commercial campaigns for BMW, HONOR NYC, Morgan Stanley, TD Bank.

Mir Zafar Ali: Mir Zafar Ali (Urdu:میر ظفر علی) is a Pakistani movie visual effects artist.  He worked in the team that won the Academy Award for best visual effects for the 2007 movie "The Golden Compass".  He is the first Pakistani to have been connected with an Academy Award-winner for Best Visual Effects.

Gareth Edwards (director): Gareth James Edwards (born 1 June 1975) is an English film director, film producer, screenwriter, cinematographer, production designer, and visual effects artist.  He first gained widespread recognition for "Monsters" (2010), an independent film in which he served as writer, director, cinematographer, and visual effects artist.  He subsequently directed the 2014 reboot of "Godzilla", and the epic space opera film "Rogue One: A Star Wars Story" (2016), the first in the "Star Wars Anthology" series.

Anthony Scott Burns: Anthony Scott Burns (born May 9, 1977) is a Canadian filmmaker, visual effects artist and musician.  After starting his film career as a visual effects artist and director, as of 2015 he is directing three feature films in pre-production: "Dark Matter", "Holidays", and Plan B Entertainment's "Alpha".  He also releases music under the moniker Pilotpriest.

AACTA Award for Best Visual Effects or Animation: The AACTA Award for Best Visual Effects or Animation (previously Best Visual Effects) is an award presented by the Australian Academy of Cinema and Television Arts (AACTA) for achievements in visual effects in film, television, documentary and short film.  The award was first presented by the Australian Film Institute (AFI)at the Australian Film Institute Awards (known commonly as the AFI Awards) from 2006-2010, prior to the establishment of the Academy.  In 2014 the award for Best Visual Effects was renamed Best Visual Effects or Animation.  Additionally, this category is now open to any film, television or documentary production, regardless of geography, which has had 100% of its visual effects and animation made in Australia.

Supporting paragraphs: Lee Towndrow Carol (film)
Answer: Phyllis Nagy