Dominic was born into a family of classical musicians; his mother is a violinist and his father the renowned choral conductor John Alldis.  Consequently, he has maintained a keen interest in classical music, and continues to play the cello and classical piano, as well as conducting orchestras worldwide.

Since 1997, Dominic has cultivated a parallel career as a business speaker, exploring music as a metaphor for the world of business.  In 2001, he founded Music & Management to launch a range of orchestral presentations for executives training programmes.  As part of these programmes, he has conducted orchestras in London, New York, San Francisco, Miami, Mexico City, Paris, Barcelona, Budapest, Bangkok, Shanghai and Buenos Aires. 

Recent repertoire has included the following:

• Serenade for Strings, Op. 48 by Pyotr Ilyich Tchaikovsky
  
• Serenade for Strings, Op. 22 by Antonin Dvorak
  
• Serenade for Strings, Op.6 by Josef Suk
  
• Serenade for Strings, Op. 20 by Edward Elgar
  
• The Holberg Suite, Op. 40 by Edvard Greig
  
• The St. Paul's Suite by Gustav Holst
  
• The Brook Green Suite by Gustav Holst
  
• Divertimenti KV136, KV137 & KV138 by Wolfgang Amadeus Mozart
  
• Symphony No. 29 in D, KV 201 by Wolfgang Amadeus Mozart
  
• Symphony No. 41 "Jupiter", KV551 by Wolfgang Amadeus Mozart
• Symphony No. 5 in B flat major, D. 485 by Franz Schubert
• Simple Symphony, by Benjamin Britten
• Suite for Strings, by Leos Janacek
• Serenade for Strings, Op. 11, by Dag Wiren
• Sinfonia in D, by Felix Mendelssohn
• Symphony No. 1 in C, Op. 21 by Ludwig van Beethoven
• Symphony No. 44 "Die Trauer" by Joseph Haydn

In 2000 Dominic was made an Honorary Associate of the Royal Academy of Music in London and currently holds a teaching post there.