Question: Who is the producer of the film series where Captain Hector Barbossa is a fictional character?

Context paragraphs:
Lee Arenberg: Lee Arenberg (born July 18, 1962) is an American actor, best known for his role as Pintel, one of Captain Barbossa's crew, in the "Pirates of the Caribbean" film series.  He currently has a recurring role as the dwarf Grumpy in the television series "Once Upon a Time".

Pirates of the Caribbean: At World's End: Pirates of the Caribbean: At World's End is a 2007 American epic fantasy swashbuckler film directed by Gore Verbinski, the third installment of the "Pirates of the Caribbean" film series and the sequel to "" (2006).  The plot follows Will Turner, Elizabeth Swann, Hector Barbossa, and the crew of the "Black Pearl" rescuing Captain Jack Sparrow from Davy Jones's Locker, and then preparing to fight the East India Trading Company, led by Cutler Beckett, who controls Davy Jones and plans to extinguish piracy forever.  It is the last film in the series to be directed by Verbinski.  It was filmed in two shoots during 2005 and 2006, the former simultaneously with the preceding film, "".  With a production budget of $300 million, "Pirates of the Caribbean: At World's End" was the most expensive film ever made at the time of its release, even after adjusting for inflation.

Hector Barbossa: Captain Hector Barbossa is a fictional character in the "Pirates of the Caribbean" film series, portrayed by Australian actor Geoffrey Rush.  Barbossa appears in all films of the series.  Starting out as a villainous undead pirate in "" (2003), the character dies at the end of the film.  However, he is revealed to have been brought back to life at the end of "" (2006), and serves as a protagonist and Pirate Lord in "" (2007), a privateer with the Royal Navy in "" (2012), and finally as the rich and influential leader of his own pirate fleet in "" (2017).  Throughout the series, the character has been conceptualized as a "dark trickster" and counterpart to protagonist Jack Sparrow.

Daniel Hall: Daniel Hall is a fictional character in the "Sandman" comic book series written by Neil Gaiman and published by DC Comics.  An infant for the majority of the "Sandman" series, he is the son of Hippolyta 'Lyta' Hall and Hector Hall, borne "in utero" for two years in the Dreaming.  Hector Hall was a perennial DC character, son of Carter Hall (the Golden Age Hawkman), and has assumed many guises during his stay in the DC Universe, and was at one point the Sandman.  Lyta was the daughter of the Golden Age Wonder Woman (later changed post-Crisis to a new "Golden Age Fury") and once a superheroine called the Fury whose powers were derived from Tisiphone.  When her fellow members of Infinity, Inc. learned she was pregnant, she was forced to resign from the team.  Daniel, at the end of the Sandman series, becomes the new "Dream of the Endless".

Pirates of the Caribbean: Dead Men Tell No Tales: Pirates of the Caribbean: Dead Men Tell No Tales (released overseas as Pirates of the Caribbean: Salazar's Revenge) is a 2017 American swashbuckler fantasy film.  It is the fifth installment in the "Pirates of the Caribbean" film series and the sequel to "" (2011).  The film is directed by Joachim Rønning and Espen Sandberg from a script by Jeff Nathanson, with Jerry Bruckheimer serving again as producer.  Johnny Depp, Kevin McNally and Geoffrey Rush reprise their roles as Jack Sparrow, Joshamee Gibbs and Hector Barbossa, respectively, while Javier Bardem, Brenton Thwaites and Kaya Scodelario join the cast as Armando Salazar, Henry Turner and Carina Smyth.  The film also features the returns of Orlando Bloom and Keira Knightley as Will Turner and Elizabeth Swann, following their absence from the previous film.

Hector the Cat: Hector the Cat (also known as Hector Cat, Hector the Road Safety Cat or simply Hector) is a fictional cat and mascot created to aid the teaching of road safety to children in Australia.  Educational material relating to the character was developed by the Australian Department of Transport in association with state and territory road authorities.  "Hector's road safety song" became well known in Australia when it was shown as a public service announcement on television.  The blue and yellow striped cat first appeared on a school calendar in 1971 with a storyline that he had lost eight of his nine lives due to "ignorance of road safety practices".  This was followed by a short instructional film.  In subsequent years other characters were introduced in calendars, instructional films, and comic books including Millie, his girlfriend (1973), Uncle Tom (1974), Hector and Millie's three kittens (1975) and his space friend Ding Dong (1982).

Joshamee Gibbs: Joshamee Hamish Gibbs (often referred to as Mr. Gibbs, Master Gibbs, or simply Gibbs) is a fictional character in the "Pirates of the Caribbean" film series.  Alongside Jack Sparrow and Hector Barbossa, he is one of the few characters to appear in every film.

Hector (Marvel Comics): Hector is a fictional character appearing in American comic books published by Marvel Comics.  The character is usually depicted as a member of the superhero family the Pantheon.  Hector uses an energy flail as a weapon.  Hector appears to be something of a master strategist.

Pirates of the Caribbean (film series): Pirates of the Caribbean is a series of American fantasy swashbuckler films produced by Jerry Bruckheimer and based on Walt Disney's theme park ride of the same name.

White Tiger (Hector Ayala): White Tiger (Hector Ayala) is a fictional character appearing in American comic books published by Marvel Comics.  He was created by Bill Mantlo and George Pérez.  He is the first Puerto Rican superhero in the history of comics, and Marvel's first superhero of Latino descent.  Hector is the uncle of Angela del Toro and the brother of Ava Ayala.

Supporting paragraphs: Hector Barbossa Pirates of the Caribbean (film series)
Answer: Jerry Bruckheimer