| Damien Stehlé (CNRS, Lyon) | Lattices | 19th Jul 2009 to 30th Jun 2010 | |
| Ivan Morel (Coutelle student, Lyon) | Lattices | Aug 2009 to Jan 2010 | |
| Markus Kirschmer (RWTH Aachen) | Group Theory, Lattices | 3rd Oct 2009 to 1st May 2010 | |
| Gavin Brown (Loughborough) | Algebraic Geometry | 14th Dec 2009 to 20th Jan 2010 | |
| Michael Pohst (TU Berlin) | Number Theory | 10th Feb 2010 to 10th Mar 2010 | |
| Tom Fisher (Cambridge) | Arithmetic Geometry | 15th Mar 2010 to 19th Apr 2010 | |
| Jarosław Buczyński (Texas A&M) | Algebraic Geometry | 22nd Apr 2010 to 8th May 2010 | |
| Shavak Sinanan (University of Warwick) | Comp. group theory | 30th Apr 2010 to 8th Jun 2010 | |
| Benjamin Nill (Georgia, Athens) | Algebraic Geometry | 30th May 2010 to 20th Jun 2010 | |
| Jean-François Biasse (École Polytechnique) | Number Theory | 28th Jun 2010 to 2nd Jul 2010 | |
| Tim Dokchitser (Cambridge) | L-Functions | 20th Aug 2010 to 27th Sep 2010 | |
| Vladimir Dokchitser (Cambridge) | L-Functions | 20th Aug 2010 to 27th Sep 2010 | |
| Jon Carlson (Georgia, Athens) | Representation Theory | 6th Oct 2010 to 22nd Oct 2010 | |
| Jean-François Biasse (École Polytechnique) | Number Theory | 14th Oct 2010 to 15th Mar 2011 | |
| Eamonn O'Brien (Auckland) | Comp. group theory | 31st Oct 2010 to 13th Nov 2010 | |
| Nils Bruin (Simon Fraser) | Number Theory | 1st Nov 2010 to 15th Dec 2010 | |
| Alexa van der Waall (Simon Fraser) | Differential Algebra | 1st Nov 2010 to 15th Dec 2010 | |
| Alexander Hulpke (Colorado) | Comp. group theory | 16th Nov 2010 to 23rd Nov 2010 | |
| Martin Bright (Warwick) | Arithmetic Geometry | 5th Dec 2010 to 15th Jan 2011 | |
| Gavin Brown (Loughborough) | Algebraic Geometry | 17th Dec 2010 to 17th Jan 2011 | |
| John Voight (Vermont) | Arithmetic Geometry | 27th Dec 2010 to 14th Jan 2011 | |
| Andrew Wilson (Edinburgh) | Algebraic Geometry | 1st Jan 2011 to 31st Mar 2011 | |
| Jan Steffen Müller (Hamburg) | Number theory | 6th Feb 2011 to 12th Mar 2011 | |
| Andreas-Stephan Elsenhans (Bayreuth) | Algebraic Geometry | 14th Feb 2011 to 27th Mar 2011 | |
| Felipe Voloch (UT Austin) | Arithmetic Geometry | 10th Mar 2011 | |
| James Hirschfield (Sussex) | Finite Geometry | 1st Apr 2011 to 30th Apr 2011 | |
| Willem de Graaf (Trento) | Lie Theory | 3rd Apr 2011 to 21st Apr 2011 | |
| David Howden (Warwick) | Comp. group theory | 13th Apr 2011 to 18th May 2011 | |
| Jared Weinstein (Boston University) | Number Theory | 2nd May 2011 to 13th May 2011 | |
| Frederik Vercauteren (Katholieke U. Leuven) | Cryptography | 9th May 2011 to 30th May 2011 | |
| David Swinarski (UGA) | Algebraic Geometry | 15th Jun 2011 to 15th Jul 2011 | |
| Zhibin Liang (Beijing Normal) | Number Theory | 2nd Sep 2011 to 8th Nov 2011 | |
| Michael Mourao (Warwick) | Number theory | 14th Oct 2011 to 10th Nov 2011 | |
| Bill Casselman (UBC) | Lie theory | 1st Nov 2011 to 30th Nov 2011 | |
| Gavin Brown (Loughborough) | Algebraic Geometry | 19th Dec 2011 to 17th Jan 2012 | |
| Kiran Kedlaya (MIT) | Arithmetic Geometry | 20th Dec 2011 to 21st Dec 2011 | |
| Alexander Kasprzyk (Imperial) | Algebraic Geometry | 4th Jan 2012 to 7th Feb 2012 | |
| Wieb Bosma (Nijmegen) | Comp. number theory | 5th Jan 2012 to 19th Jan 2012 | |
| George Havas (UQ) | Comp. group theory | 10th Jan 2012 to 17th Jan 2012 | |
| Derek Holt (Warwick) | Group Theory | 12th Jan 2012 to 10th Mar 2012 | |
| Thomas Feulner (Bayreuth) | Coding Theory | 6th Mar 2012 to 11th Apr 2012 | |
| Sebastian Jambor (Aachen) | Comp. group theory | 10th Mar 2012 to 7th Apr 2012 | |
| Jon Carlson (Georgia, Athens) | Representation Theory | 8th Apr 2012 to 21st Jun 2012 | |
| Alla Detinko (UCG) | Comp. group theory | 7th May 2012 to 11th May 2012 | |
| Dane Flannery (UCG) | Comp. group theory | 7th May 2012 to 11th May 2012 | |
| Jérémy Le Borgne (Université de Rennes) | Galois representations | 28th May 2012 to 1st Jul 2012 | |
| Scott McCallum (Macquarie, Sydney) | Real Algebraic Geometry | 13th Aug 2012 to 9th Sep 2012 | |
| Markus Kirschmer (RWTH Aachen) | Group Theory, Lattices | 15th Sep 2012 to 31st Oct 2012 | |
| Eamonn O'Brien (Auckland) | Comp. group theory | 29th Oct 2012 to 2nd Nov 2012 | |
| Bernardo Rodrigues (KwaZulu-Natal) | Coding theory | 4th Dec 2012 to 21st Dec 2012 | |
| Frederik Vercauteren (Katholieke U. Leuven) | Cryptography | 6th Dec 2012 to 14th Dec 2012 | |
| Jean-François Biasse (University of Calgary) | Number Theory | 8th Dec 2012 to 2nd Feb 2013 | |
| Martin Bright (American University of Beirut) | Arithmetic Geometry | 31st Dec 2012 to 29th Jan 2013 | |
| Alan Lauder (Oxford) | Arithmetic Geometry | 11th Feb 2013 to 24th Feb 2013 | |
| Jörg Jahnel (Siegen) | Algebraic Geometry | 14th Feb 2013 to 12th Mar 2013 | |
| Eamonn O'Brien (Auckland) | Comp. group theory | 29th Apr 2013 to 30th Apr 2013 | |
| Roman Pearce (CECM / Simon Fraser University) | Comp. algebra | 18th May 2013 to 22nd Jun 2013 | |
| David Roberts (University of Minnesota) | Number theory | 10th Jun 2013 to 10th Jul 2013 | |
| Mike Slattery (Marquette University) | Comp. group theory | 15th Jun 2013 to 17th Jul 2013 | |
| Manoj Yadav (Harish-Chandra Inst, Allahabad) | Group theory | 26th Aug 2013 to 30th Aug 2013 | |
| Jon Carlson (Georgia, Athens) | Representation Theory | 6th Oct 2013 to 25th Oct 2013 | |
| Heiko Dietrich (Monash) | Representation Theory | 28th Oct 2013 to 1st Nov 2013 | |
| Arjeh Cohen (UT, Eindhoven) | Lie Theory | 1st Nov 2013 to 13th Nov 2013 | |
| James Shank (Kent) | Invariant theory | 25th Nov 2013 to 14th Dec 2013 | |
| James Hirschfield (Sussex) | Finite Geometry | 14th Dec 2013 to 12th Jan 2014 | |
| Jörg Jahnel (Siegen) | Algebraic Geometry | 14th Feb 2014 to 20th Mar 2014 | |
| Tom Fisher (Cambridge) | Arithmetic Geometry | 25th Aug 2014 to 1st Oct 2014 | |
| Derek Holt (Warwick) | Group Theory | 28th Sep 2014 to 3rd Dec 2014 | |
| Tim Dokchitser (Bristol) | L-Functions | 1st Oct 2014 to 5th Dec 2014 |