| Last Name | First Name | Year | City Sort descending | Section/Speaker Type |
|---|---|---|---|---|
| Hirzebruch | F. | 1958 | Edinburgh | Plenary |
| Hofmann | J. E. | 1958 | Edinburgh | History & Education |
| Kleene | S. C. | 1958 | Edinburgh | Plenary |
| Kosinski | A. | 1958 | Edinburgh | Topology |
| Kreisel | G. | 1958 | Edinburgh | Logic & Foundations |
| Kurepa | G. | 1958 | Edinburgh | History & Education |
| Lanczos | C. | 1958 | Edinburgh | Plenary |
| Lehmer | D. H. | 1958 | Edinburgh | Applied Mathematics, Mathematical Physics & Numerical Analysis |
| Linnik | Yu. V. | 1958 | Edinburgh | Algebra & Theory of Numbers |
| Lions | J. L. | 1958 | Edinburgh | Classical & Functional Analysis |
| Markov | A. A. | 1958 | Edinburgh | Logic & Foundations |
| Matsusaka | T. | 1958 | Edinburgh | Algebraic & Differential Geometry |
| Menchoff | D. E. | 1958 | Edinburgh | Classical & Functional Analysis |
| Milnor | J. W. | 1958 | Edinburgh | Algebraic & Differential Geometry |
| Minakshisundaram | S. | 1958 | Edinburgh | Classical & Functional Analysis |
| Moore | J. C. | 1958 | Edinburgh | Topology |
| Nagata | M. | 1958 | Edinburgh | Algebraic & Differential Geometry |
| Nijenhuis | A. | 1958 | Edinburgh | Algebraic & Differential Geometry |
| Papakyriakopoulos | C. D. | 1958 | Edinburgh | Topology |
| Pontryagin | L. S. | 1958 | Edinburgh | Plenary |
| Rényi | A. | 1958 | Edinburgh | Probability & Statistics |
| Roquette | P. | 1958 | Edinburgh | Algebra & Theory of Numbers |
| Roth | K. F. | 1958 | Edinburgh | Plenary/Prize winner |
| Rutishauser | H. | 1958 | Edinburgh | Applied Mathematics, Mathematical Physics & Numerical Analysis |
| Samuel | P. | 1958 | Edinburgh | Algebraic & Differential Geometry |