Question: "Play with Me" is Extreme's first single from their self-titled debut album, it includes a fast and complex guitar solo by guitarist Nuno Bettencourt, and takes its intro riffs from Mozart's Alla turca, the Piano Sonata No. 11 in A major, K 331 / 300i, by who?

Context paragraphs:
Piano Sonata No. 1 (Mozart): Wolfgang Amadeus Mozart's Piano Sonata No. 1 in C major, K.  279 / 189d (1774), is a piano sonata in three movements.  It was composed when Mozart was only 18 years old and is the first of a set of his 18 piano sonata.  All but 2 of the sonatas, No. 8 in A minor and No. 14 in C minor are in a major key.  Also, the first several sonatas seem to follow the cycle of fifths, to the flat side first (No. 1 in C major, No. 2 in F major, No. 3 in B-flat major, No. 4 in E-flat major) and then to the sharp side (No. 5 in G major, No. 6 in D major).

Mourning Widows: Mourning Widows was a musical project led by former Extreme guitarist Nuno Bettencourt.  The band was formed in 1997, and they released two albums during their career.  Despite not being widely released in the United States, both albums were successful in Japan.  Bettencourt formed the band after the moderate success of his 1996 solo album, Schizophonic.  The band's sound went back to a funkier guitar-driven rock reminiscent of Extreme, while still having post-grunge and alternative influences.

Piano Sonata No. 12 (Mozart): The Piano Sonata No. 12 in F major by Wolfgang Amadeus Mozart, K. 332/300k, was written at the same time as the Piano Sonata, K. 330, and Piano Sonata, K. 331 ("Alla turca"), Mozart numbering them as a set from one to three.  They were once believed to have been written in the late 1770s in Paris, but it is now thought more likely that they date from 1783, by which time Mozart had moved to Vienna.  Some believe that Mozart wrote this and the other sonatas during a summer 1783 visit to Salzburg made for the purpose of introducing his wife, Constanze to his father, Leopold.  All three sonatas were published in Vienna in 1784.

Mourning Widows (album): Mourning Widows is an album by Mourning Widows, a project led by former Extreme guitarist Nuno Bettencourt.  The album was first released by Polydor Records in Japan and later in the United States.

Love (DramaGods album): Love is an album from DramaGods, a project led by guitarist Nuno Bettencourt.  Bettencourt is most remembered for being the guitarist in the band Extreme.  Originally conceived as a double-album entitled "Love/Hate", the songs were combined into one album.  It is not known what happened to the rest of the songs from these recording sessions, if they were ever fully recorded and produced, or just left as demos.

Play with Me (song): "Play with Me" is Extreme's first single from their self-titled debut album.  It is one of the band's best known songs as well as a popular list song.  It includes a fast and complex guitar solo by guitarist Nuno Bettencourt, and takes its intro riffs from Mozart's Alla turca.

Sessions from Room 4: Sessions From Room 4 is an EP released by the band Population 1, led by ex-Extreme/DramaGods guitarist Nuno Bettencourt.  The EP is the first official release from the band Population 1, which was previously just a solo project by Nuno Bettencourt.  They had to change the name of the band, not once, but twice due to legal reasons.  They were briefly known as Near Death Experience (a name Bettencourt had floated before for previous projects) and subsequently DramaGods, under which they released their next and only album to date, "Love".  "Sessions From Room 4" was released through the band's official website, and came with stickers and a limited edition autographed poster of the band.

Piano Sonata No. 11 (Mozart): The Piano Sonata No. 11 in A major, K.  331 / 300i, by Wolfgang Amadeus Mozart is a piano sonata in three movements.  It is uncertain where and when Mozart composed the sonata; however, Vienna or Salzburg around 1783 is currently thought to be most likely (Paris and dates as far back as 1778 have also been suggested).  The sonata was published by Artaria in 1784, alongside Nos. 10 and 12 (K. 330 and K. 332).

Schizophonic (Nuno Bettencourt album): Schizophonic is the 1997 debut solo album from guitarist Nuno Bettencourt, the lead guitarist in the band Extreme.  Bettencourt is credited on the cover simply as "Nuno".  "Schizophonic" is Bettencourt's first and, so far, only solo effort after the group disbanded.

Waiting for the Punchline: Waiting for the Punchline is Extreme's fourth album, which was released in 1995.  It is known by fans as a distinctively raw sounding record - especially when compared to the big production of the two previous albums - with a significant influence from grunge and alternative rock, while still showcasing guitarist Nuno Bettencourt's talents.  Due to its lyrics focused heavily on social matters (ranging from religion to fame) it is often cited as a concept album.  It is also the only Extreme record to feature drummer Mike Mangini (on 3 tracks).

Supporting paragraphs: Play with Me (song) Piano Sonata No. 11 (Mozart)
Answer: Wolfgang Amadeus Mozart