| Torsten Minkwitz (Karlsruhe) | Representation Theory | 8th Mar 1995 to 5th Apr 1995 | |
| Mario Daberkow (TU Berlin) | Comp. number theory | 20th Jul 1995 to 20th Nov 1995 | |
| Herman J.J. te Riele (CWI. Amsterdam) | Comp. Number theory | 1st Oct 1995 to 23rd Oct 1995 | |
| Derek Holt (Warwick) | Group Theory | 18th Oct 1995 to 29th Nov 1995 | |
| Xavier Gourdon (École Polytechnique, Paris) | Comp. number theory | 1st Dec 1995 to 22nd Dec 1995 | |
| Arjen Lenstra (Citibank, NY) | Comp. number theory | 15th Dec 1995 to 31st Jan 1996 | |
| Lancelot Pecquet (INRIA, France) | Coding Theory | 1st Jun 1996 to 1st Sep 1996 | |
| Anthony Pye (QMUL) | Comp. group theory | 1st Jun 1996 to 1st Aug 1996 | |
| Gregor Kemper (Heildelberg) | Commutative Algebra | 15th Jul 1996 to 31st Aug 1996 | |
| Eamonn O'Brien (ANU) | Comp. group theory | 22nd Jul 1996 to 26th Jul 1996 | |
| Bernd Souvignier (RWTH Aachen) | 15th Sep 1996 to 14th Sep 1997 | ||
| Charles Leedham-Greene (QMUL) | Group Theory | 11th Nov 1996 to 29th Nov 1996 | |
| Michael Vaughan-Lee (Oxford) | Group Theory | 26th Nov 1996 to 6th Dec 1996 | |
| Stephen Glasby (Central Washington U) | Group Theory | 21st Jan 1997 to 31st Jan 1997 | |
| Eamonn O'Brien (Auckland) | Comp. group theory | 22nd Feb 1997 to 4th Mar 1997 | |
| Joachim von zur Gathen (Paderborn) | Computer Algebra | 3rd Mar 1997 to 25th Apr 1997 | |
| Dimitri Leemans (Bruxelles Libre) | Group Theory, Incidence Geometry | 26th Mar 1997 to 12th May 1997 | |
| Wieb Bosma (Nijmegen) | Comp. number theory | 27th Mar 1997 to 23rd Apr 1997 | |
| Jakob Kellner (Vienna) | Logic | 1st Jul 1997 to 31st Dec 1997 | |
| Teo Mora (Genoa University) | Commutative Algebra | 15th Jul 1997 to 15th Sep 1997 | |
| Jacques Calmet (Karlsruhe) | Computer Algebra | 17th Jul 1997 to 19th Jul 1997 | |
| Willem de Graaf (Eindhoven) | Lie Theory | 30th Jul 1997 to 30th Aug 1997 | |
| George Havas (UQ) | Comp. group theory | 23rd Sep 1997 to 28th Sep 1997 | |
| Wieb Bosma (Nijmegen) | Comp. number theory | 25th Nov 1997 to 15th Dec 1997 | |
| Reynald Lercier (CELAR) | Comp. number theory, Cryptography | 1st Dec 1997 to 31st Dec 1997 | |
| Richard Brent (ANU) | Number Theory, Computer Science | 2nd Dec 1997 to 4th Dec 1997 | |
| Jean-Charles Faugere (CRNS, Paris) | Groebner Bases | 27th Feb 1998 to 31st Mar 1998 | |
| Derek Holt (Warwick) | Group Theory | 20th Mar 1998 to 17th Apr 1998 | |
| Eamonn O'Brien (Auckland) | Comp. group theory | 22nd Mar 1998 to 4th Mar 1998 | |
| Alice Niemeyer (UWA) | Comp. group theory | 19th Apr 1998 to 25th Apr 1998 | |
| Gregor Kemper (Heildelberg) | Commutative Algebra | 21st Jun 1998 to 11th Jul 1998 | |
| Eamonn O'Brien (Auckland) | Comp. group theory | 21st Jun 1998 to 26th Jun 1998 | |
| Gavin Brown (Oxford) | Algebraic Geometry | 1st Oct 1998 to 1st Oct 1999 | |
| Jamie Gutierrez (Cantabria) | Commutative Algebra | 27th Oct 1998 to 3rd Nov 1998 | |
| Franz Winkler (Linz) | Computational Algebra | 3rd Nov 1998 to 26th Nov 1998 | |
| Eamonn O'Brien (Auckland) | Comp. group theory | 13th Dec 1998 to 20th Dec 1998 | |
| George Havas (UQ) | Comp. group theory | 20th Dec 1998 to 23rd Dec 1998 | |
| Charles Leedham-Greene (QMUL) | Group Theory | 1st Jan 1999 to 4th Apr 1999 | |
| Jon Carlson (Georgia, Athens) | Representation Theory | 8th Jan 1999 to 2nd Feb 1999 | |
| Andreas Stein (Calgary) | Cryptography | 4th Feb 1999 | |
| Frank Luebeck (RWTH, Aachen) | Lie Theory | 7th Feb 1999 to 10th Apr 1999 | |
| Jürgen Klüners (IWR Heildelberg) | Number Theory | 27th Feb 1999 to 8th Apr 1999 | |
| Emanuel Herrman (Saarbruecken) | Comp. number theory | 15th Mar 1999 to 31st Dec 1999 | |
| Dimitri Leemans (Bruxelles Libre) | Group Theory, Incidence Geometry | 28th Mar 1999 to 1st Jun 1999 | |
| Charles Leedham-Greene (QMUL) | Group Theory | 4th Sep 1999 to 12th Sep 1999 | |
| Katharina Geissler (TU Berlin) | Comp. number theory | 1st Oct 1999 to 30th Sep 2001 | |
| Florian Hess (TU Berlin) | Comp. number theory, Cryptography | 1st Oct 1999 to 30th Nov 2000 | |
| Lancelot Pecquet (INRIA, France) | Coding Theory | 15th Oct 1999 to 11th Nov 1999 | |
| Derek Holt (Warwick) | Group Theory | 22nd Oct 1999 to 17th Dec 1999 | |
| Gregor Kemper (Heildelberg) | Commutative Algebra | 20th Nov 1999 to 5th Dec 1999 | |
| Jon Carlson (Georgia, Athens) | Representation Theory | 22nd Nov 1999 to 4th Dec 1999 | |
| Charles Sims (Rutgers) | Group Theory | 27th Nov 1999 to 11th Dec 1999 | |
| Bettina Eick (Kassel) | Comp. group theory | 28th Nov 1999 to 4th Dec 1999 | |
| Charles Leedham-Greene (QMUL) | Group Theory | 28th Nov 1999 to 4th Dec 1999 | |
| Michael Vaughan-Lee (Oxford) | Group Theory | 28th Nov 1999 to 4th Dec 1999 |