| RefNo | Title | Date |
| RR/17/118 | Referee's report by John William Strutt, 3rd Baron Rayleigh, on a paper 'A new current weigher and a determination of the electromotive force of the normal Weston cadmium cell' by William Edward Ayrton, Thomas Mather and Frank Edward Smith | [June 1907] |
| RR/17/119 | Referee's report by Andrew Gray, on a paper 'A new current weigher and a determination of the electromotive force of the normal Weston cadmium cell' by William Edward Ayrton, Thomas Mather and Frank Edward Smith | 18 July 1907 |
| NLB/37/462 | Copy letter from Robert William Frederick Harrison to T [Thomas] Mather, Fellow of the Royal Society | 24 March 1908 |
| NLB/24/621 | Copy letter from Robert William Frederick Harrison, to Thomas Mather, Fellow of the Royal Society | 9 June 1902 |
| NLB/36/567 | Copy letter from Joseph Larmor, to Mr [Thomas] Mather, [Fellow of the Royal Society] | 14 November 1907 |
| NLB/36/515 | Copy letter from Joseph Larmor, to Thomas Mather, Fellow of the Royal Society | 7 November 1907 |
| NLB/38/35 | Copy letter from Robert William Frederick Harrison, to Thomas Mather, Fellow of the Royal Society | 4 June 1908 |
| NLB/37/569 | Copy letter from Robert William Frederick Harrison to T [Thomas] Mather, Fellow of the Royal Society | 7 April 1908 |
| NLB/37/476 | Copy letter from Robert William Frederick Harrison to A P Trotter, The Board of Trade | 25 March 1908 |
| NLB/37/439 | Copy letter from Robert William Frederick Harrison to Professor [Joseph] Larmor, Secretary of the Royal Society | 20 March 1908 |
| NLB/37/555 | Copy letter from Robert William Frederick Harrison to T [Thomas] Mather, Fellow of the Royal Society | 4 April 1908 |
| NLB/50/681 | Copy letter from Robert William Frederick Harrison, to Professor [Thomas] Mather, Fellow of the Royal Society | 12 October 1914 |
| RR/17/218 | Referee's report by William Cecil Dampier Whetham, on a paper 'The silver voltameter' by Frank Edward Smith, Thomas Mather and Thomas Martin Lowry | [August 1907] |
| NLB/55/122 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor [Thomas] Mather, FRS | 08 December 1917 |
| RR/17/217 | Referee's report by John William Strutt, 3rd Baron Rayleigh, on a paper 'The silver voltameter' by Frank Edward Smith, Thomas Mather and Thomas Martin Lowry | [August 1907] |
| NLB/54/902 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor [Thomas] Mather, FRS | 3 November 1917 |
| RR/22/94 | Referee's report by Thomas Mather, on a paper 'Some experiments on the properties of dielectrics' by Spencer W Richardson | 1915 |
| NLB/55/60 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor [Thomas] Mather, FRS | 20 November 1917 |
| RR/22/80 | Referee's report by Thomas Mather, on a paper 'The magnetic behaviour of iron at very high frequencies' by N W McLachlan | December 1915 |
| NLB/29/707 | Copy letter from Robert William Frederick Harrison, to Thomas Mather, Fellow of the Royal Society | 28 November 1904 |
| NLB/35/641 | Copy letter from Robert William Frederick Harrison, to Thomas Mather, Fellow of the Royal Society | 24 June 1907 |
| RR/20/120 | Referee's report by Thomas Mather, on a paper 'A determination of the electromotive force of the weston normal cell in semi-absolute volts' by A N Shaw | December 1913 |
| RR/21/16 | Referee's report by Thomas Mather, on a paper 'On the flow of electricity through dielectrics, etc' by G E Bairsto | 1 July 1914 |
| EC/1902/11 | Mather, Thomas: certificate of election to the Royal Society | |
| NLB/37/452 | Copy letter from Robert William Frederick Harrison to T Mather, Fellow of the Royal Society | 23 March 1908 |
| NLB/71/733 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to the Editor, the Encyclopaedia Britannica, 80 Regents Street, W1 | 17 October 1928 |
| AP/79/14 | Unpublished paper, 'The evolution of our galactic system' by A W [Alexander William] Bickerton | 1917 |
| RR/21/17 | Committee report by Thomas Mather, on a paper 'On the flow of electricity through dielectrics, etc' by G E Bairsto | 12 October 1914 |
| MC/19/605 | Letter from [Thomas] Mather, Ajax Road, West Hampstead, to the Assistant Secretary of the Royal Society | 5 November 1904 |
| MC/19 | Volume 19 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1904 |