The Atlas of Irish Mathematics: Mayo (Apr 2018)
This month we complete the first year of our bimonthly surveys of the careers of some mathematically trained people associated with various counties of Ireland. Following Donegal, Wexford, Armagh, Limerick, and Westmeath, this month we focus on Mayo people.
As usual, those listed generally started with a degree in mathematics, maths physics, statistics or a related field, and some careers drifted far from what was studied in university.
The information below is extracted from the Annals of Irish Mathematics & Mathematicians, which currently documents over 3660 people. Corrections, as always, are welcome. Thanks to Paul Greaney (NUIG) and Olivia Bree (SPD) for genealogical research assistance. Last updated 17 Jun 2019.
1. Paul Deighan (life span at least 17681811) was a teacher in Ballina, Mayo. His books included the twovolume A Complete Treatise on Arithmetic, Rational and Practical (1804), and he was active in solving mathematical problems posed in Grant's Almanack. 


2. George Crampton was born in Mayo, and educated at TCD (BA 1835, MA 1858), being in the first cohort of pure maths degrees awarded there. His career was spent in law, both in Dublin and in England. 

3. John Fraser (18681950) was born 7 November in Crosspatrick, Ballysakeery, Ballina, Mayo, and was educated at TCD (BA 1895, MA). He taught at TCD from 1903 to 1949. 
4. Robert Hallidy (18751933) was born in Belmullet, Mayo, and was educated at Queen's College Galway (BA 1898, BE 1901). He worked primarily as a railway engineer, in Donegal, England, Gold Coast, South Africa, India and the USA. 


5. Frederick Faloone (18771921) was born 21 December in Westport, Mayo. He was educated at TCD (BA 1901) and taught at Clongowes and the High School (Dublin), but died relatively young. 
6. Physicist and priest John Donaghey (Donaghy) (18781949) was born 3 December in Kilmovee, Mayo (near the Roscommon border). He was educated at RUI (BA 1904) and at Bonn (MA 1905), earning his PhD at Munich on "The Spectrum of Nitrogen at Low Temperatures" with Röntgen (1908). For 16 years he taught at St Eunan's College (Raphoe), Maynooth and Munich, before moving to the USA where he spent another 25 years at Marquette University (Wisconsin) and Incarnate Word College (Texas). 1901 Census / 1911 Census / Marquette / Grave 

7. Bob Walker (18801962) was born 15 April in Ballaghamuck, Crossmolina, Mayo, and was educated at Blackrock (RUI BA 1905). He taught for many years at Rockwell, and also worked in insurance. His legacy includes extensive research on Irish place names. 

8. Thomas McHugh (1900??) was born 2 August in Caltragh, west of Claremorris, Mayo. He was educated at UCD (BSc 1923, MSc 1931 for a thesis on "A Pair of Circular Cubics Generated by Two Rigid Quadrangles"). Information on his subsequent career would be very welcome. 

9. Margaret Gillan (later McDonnell, 19061989) was born 12 June in Newport, Mayo. She was educated at UCG (BA 1928, MA 1934) and she taught at secondary schools for much of her career, both before and after a few years spent as assistant to Schrödinger at DIAS.


10. Kevin Killeen (19081995) was born 26 April in Carrowmore, near Claremorris, Mayo, and grew up close by in Hollymount. He was educated at UCG (BComm 1927, BA 1928, MA 1929), winning the first NUI Travelling Studentship Prize there. After a few years on the staff at QUB, his career was spent in vocational education, first in Wicklow and Wexford, and then for over 30 years in Waterford. 

11. Astronomer Fred O'Connor (19081987) was born 7 April on Achill Sound, Mayo. He grew up there and in Athlone, and was educated at TCD (BA 1930, MA 1938). He worked as assistant at Dunsink and later lectured for over a quarter of a century at TCD. 

12. Alice Molloy (later McKeogh, 1910??) was born 2 January in Culleens, Killala Road, Kilmoremoy near Ballina, Mayo. She was educated at UCG (1932). Information on her career is welcomed. She married in 1938. 

12A. Martin Muldoon was born in Westport, Mayo, and was educated at UCG (1959), and the Univ of Alberta. His 1966 thesis on "Singular Integrals Whose Kernals Involve Certain SturmLiouville Functions" was done under Lee Lorch. His career has been spent at York in Toronto. 

13. Seán McDonagh was born in Westport, Mayo, and grew up in Galway. He was educated first at UCG (1959 & 1960), where he earned an NUI Travelling Studentship Prize. His "1965 PhD "On Some Problems in the Theory of Numbers" was done mostly at Royal Holloway (awarded by TCD) under Heini Halberstam. After some years on the staff at UCG, he was appointed principal (later director) at the Regional College (later the Institute of Technology) in Dundalk, where he worked for 30 years. Then he was Director of the National Skills Initiative Unit (20002014) and Director of the Task Force the Supply of Technicians (since 1997). 

14. Tom McDonough was born in Castlebar, Mayo, and was educated at UCG (1963 & 1964), where he earned an NUI Travelling Studentship. His 1972 PhD on "Some Problems in the Theory of Groups" was earned at Oxford under Graham Higman. Most of his career has been spent at Aberystwyth, and he coedited the Proceedings of the 1973 British Combinatorial Conference.  
15. Sean Mulhern (19421977) was born in Ballyhaunis, Mayo, and was educated at UCG (1963 & 1964), where like his classmate Tom McDonough above he was awarded an NUI Travelling Studentship. His PhD on elasticity and fiberreinforced material was done at Nottingham (1968) under Tony Spencer. His sadly short career was spent at UCG.


16. Tom Laffey was born 5 December in Cross, Mayo, and was educated at UCG, where he won an NUI Travelling Studentship Prize, and the University of Sussex. His 1968 PhD on "Structure Theorems for Linear Groups" was done under Walter Ledermann. For over 40 years he lectured at UCD, pursuing research in group theory and linear algebra, becoming department head and supervising 5 PhDs. He also played a major role in the successful establishment of the Irish Mathematical Olympiad. 

17. Des MacHale was born on 28 January in Castlebar, Mayo. He was educated at UCG (1967 & 1968), then completing his 1972 PhD on "Finite Groups with Automorphisms Inverting Many Elements" at Keele under Hans Liebeck. His entire career has been spent at UCC, researching in groups and rings, and supervising numerous theses. He is an expert on George Boole, having written the definitive biography of him, and had published dozens of books on brainteasers and humour. 

18. Ted Hyland was born at Straide near Foxford, Mayo, and was educated at UCG (1969?). His career was spent teaching physics at Dundalk IT.


19. Padhraic Smyth was born in Kilmovee, Mayo, and was first educated at UCG (BE 1984). His 1988 Caltech Phd on "The Application of Information Theory to Problems in Decision Tree Design and RuleBased Expert Systems" was done under Rodney Goodman. After 8 years at JPL he has been at UC Irvine, where he studies the theory and application of probabilistic and statistical approaches to data mining. He has had over a dozen PhD students in machine learning. 


20. Theoretical physicist Éanna Flanagan was born in Castlebar, Mayo, and was educated at UCD (1987 & 1988) before completing his Caltech PhD in 1993 under Kip Thorne on "Topics In General Relativity: the Hoop Conjecture, and Theoretical Aspects of Gravitational Wave Detection". Most of his career has been spent at Cornell. 

21. James McTigue was born in Claremorris, Mayo, and was first educated at Limerick (BE, 1994). After a decade and a half working in industry, he started work on his 2015 PhD on "Completions of Partial Matrices", earned at NUIG under Rachel Quinlan. He now works in software. 

22. Aidan Naughton was born in Mayo and educated at UCG (2002?) and then at UCC, where his 2006 PhD on "A priori Bounds on Derivatives of Solutions to Singularly Perturbed ConvectionDiffusion Problems" was earned with Martin Stynes. His career so far has been spent at St Andrews, where he is now doing research in mathematical education.


23. Astrophysicist John Regan was born in Castlebar, Mayo, and was educated at first at TCD (BA 2003, MSc 2004). His 2008 PhD on "Numerical Simulations of the Intergalactic Medium" was done at Cambridge under Martin Haehnelt. He has taught at the Universities of Zambia, Helsinki and Durham, and is now on the staff at DCU. His main research is on simulations of large scale structure formation in the early Universe. 
24. David Henry was born in Castlebar, Mayo, and educated at TCD (BA 2004, PhD 2007), where his PhD on "Aspects of the Mathematical Theory of Water Waves" was done under Adrian Constantin. His career so far has been spent at UCC. 


25. Donie O'Brien was born in Castlebar, Mayo, and educated first at UCD (2004). His 2008 PhD on " A Theoretical Study of Spin Filtering and its Application to Polarized Antiprotons" was done at TCD under Nigel Buttimore. His career has been in finance. 

26. Theoretical physicist and maths educator Aoibhinn Ní Shúilleabháin was born in Carnacon, Mayo. She was educated at UCD (2005) and TCD, earning her 2014 PhD " Developing Mathematics Teachers' Pedagogical Content Knowledge through Lesson Study: A Multiple Case Study at a Time of Curriculum Change" with Adrian Seery. Her career so far has been spent at UCD. 