Seán Dineen (born February 1944) is an Irish mathematician specialising in

complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ...

. His academic career was spent, in the main, at University College Dublin (UCD) where he was Professor of Mathematics, serving as Head of Department and as Head of the School of Mathematical Sciences before retiring in 2009.

Education

Seán Dineen was born in Clonakilty, Co. Cork, Ireland in February 1944. He attended St Mary's, the first secondary school for boys in Clonakilty, which his parents Jerry (Jeremiah) and Margaret Dineen had founded in 1938. His father had died in 1953 and the school was subsequently run by his mother. He entered University College Cork (UCC) in 1961 to study mathematics, graduating with honours BSc in mathematics in 1964. While at UCC, he was involved in setting up the student mathematics society there. His tutors and lecturers included Finbarr Holland, Michael Mortell, Tagdh Carey, Paddy Kennedy, Paddy Barry and Siobhán O'Shea (later

Siobhán Vernon Siobhán Vernon (née O'Shea) was the first Irish-born woman to get a PhD in pure mathematics in Ireland, in 1964. Early life and education Siobhán O'Shea was born in Macroom, County Cork, in 1932 and was the daughter of Joseph J. O'Shea and ...

). He completed his MSc there in 1965, and was awarded a

National University of Ireland The National University of Ireland (NUI) ( ga, Ollscoil na hÉireann) is a federal university system of ''constituent universities'' (previously called ''university college, constituent colleges'') and ''recognised colleges'' set up under t ...

Travelling Studentship.An Interview with Professor Seán Dineen
by Gary McGuire, Irish Math. Soc. Bulletin 64 (2009), 65–77. Dineen was the first student of pure mathematics from UCC to travel to the USA to do his doctorate, where he did his coursework in the University of Maryland. His official supervisor there was John Horvath, but his PhD research was carried out in Rio de Janeiro at Instituto Nacional de Matemática Pura e Aplicada (IMPA) under the supervision of

Leopoldo Nachbin Leopoldo Nachbin (7 January 1922 – 3 April 1993) was a Jewish-Brazilian mathematician who dealt with topology, and harmonic analysis. Nachbin was born in Recife, and is best known for Nachbin's theorem. He died, aged 71, in Rio de Janeiro. ...

. He completed his thesis on "Holomorphy Types on a Banach Space" in 1970.Seán Dineen
at the Mathematics Genealogy Project

UCD Career

Dineen spent the year 1969-1970 at

Johns Hopkins Johns Hopkins (May 19, 1795 – December 24, 1873) was an American merchant, investor, and philanthropist. Born on a plantation, he left his home to start a career at the age of 17, and settled in Baltimore, Maryland where he remained for most ...

as an instructor before returning to Ireland. After two years at the Dublin Institute for Advanced Studies (DIAS), he secured a position at University College Dublin. Seven years later, in 1979, he was appointed to the professorship and chair of mathematics vacated by J. R. Timoney.

Mathematics

Dineen's work has principally been in the area of infinite dimensional

and the topological structure of spaces of

Holomorphic function In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space . The existence of a complex derivativ ...

s. He later worked on bounded symmetric domains and spectral theory, among other topics. He has said "If you want to stay active as a research mathematician, you have to reinvent yourself regularly". His academic footprint includes 10 books and/or monographs, over 100 peer-reviewed research articles, over 4000 citations, 11 PhD students, over 40 collaborators, and the organisation of numerous mathematical conferences and meetings. In 1987 he was elected to the

Royal Irish Academy The Royal Irish Academy (RIA; ga, Acadamh Ríoga na hÉireann), based in Dublin, is an academic body that promotes study in the sciences, humanities and social sciences. It is Ireland's premier List of Irish learned societies, learned socie ...

.Science Member Seán Dineen
The Royal Irish Academy

Selected papers

* Dineen, Seán "The second dual of a JB∗ triple system. Complex analysis, functional analysis and approximation theory". (Campinas, 1984), 67–69, North-Holland Math. Stud., 125, Notas Mat., 110, North-Holland, Amsterdam, 1986. * Dineen, Seán "Complete holomorphic vector fields on the second dual of a Banach space". Math. Scand. 59 (1986), no. 1, 131–142. * Dineen, Seán "Holomorphy types on a Banach space". Studia Math. 39 (1971), 241–288. * Alencar, Raymundo; Aron, Richard M.; Dineen, Seán "A reflexive space of holomorphic functions in infinitely many variables". Proc. Amer. Math. Soc. 90 (1984), no. 3, 407–411. * Dineen, Seán; Timoney, Richard M. "On a problem of H. Bohr". Bull. Soc. Roy. Sci. Liège 60 (1991), no. 6, 401–404. * Dineen, Seán; Timoney, Richard M.; Vigué, Jean-Pierre "Pseudodistances invariantes sur les domaines d'un espace localement convexe". Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 12 (1985), no. 4, 515–529. * Dineen, Seán; Timoney, Richard M. "Absolute bases, tensor products and a theorem of Bohr". Studia Math. 94 (1989), no. 3, 227–234. * Dineen, Seán; Mellon, Pauline "Holomorphic functions on symmetric Banach manifolds of compact type are constant". Math. Z. 229 (1998), no. 4, 753–765. * Dineen, Seán; Mackey, Michael; Mellon, Pauline "The density property for JB∗-triples". Studia Math. 137 (1999), no. 2, 143–160. * Dineen, Seán; Patyi, Imre; Venkova, Milena "Inverses depending holomorphically on a parameter in a Banach space". J. Funct. Anal. 237 (2006), no. 1, 338–349. * Dineen, Seán; Mujica, Jorge "A monomial basis for the holomorphic functions on $c_0$". Proc. Amer. Math. Soc. 141 (2013), no. 5, 1663–1672. * Dineen, Seán; Harte, Robin E. "Banach-valued axiomatic spectra". Studia Math. 175 (2006), no. 3, 213–232. * Dineen, Seán; Galindo, Pablo; García, Domingo; Maestre, "Manuel Linearization of holomorphic mappings on fully nuclear spaces with a basis". Glasgow Math. J. 36 (1994), no. 2, 201–208.

Selected books

* ''Analysis, a Gateway to Understanding''. World Scientific, 2012, 320pp. * ''Black-Scholes Formula''. Second edition. Graduate Studies in Mathematics, 70. American Mathematical Society, Providence, RI, 2013. xiv+305 * ''Probability Theory in Finance. A Mathematical Guide to the Black-Scholes formula''. Graduate Studies in Mathematics, 70. American Mathematical Society, Providence, RI, 2005. xiv+294 pp. * ''Complex Analysis on Infinite-Dimensional Spaces''. Springer Monographs in Mathematics. Springer-Verlag London, Ltd., London, 1999. xvi+543 pp. * ''Multivariate Calculus and Geometry''. Springer Undergraduate Mathematics, Series. Springer-Verlag London, Ltd., London, 1998. xii+262 pp. Third edition 2014. xiv+257 pp. * ''Functions of Two Variables''. Chapman and Hall Mathematics, Series. Chapman & Hall, London, 1995. x+189 pp. Second edition Chapman & Hall/CRC, Boca Raton, FL, 2000. xii+191 pp. * ''The Schwarz Lemma''. Oxford Mathematical Monographs. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1989. x+248 pp.

References

External links

* {{DEFAULTSORT:Dineen, Sean Mathematical analysts Complex analysts 20th-century Irish mathematicians 21st-century Irish mathematicians Alumni of University College Cork University System of Maryland alumni Instituto Nacional de Matemática Pura e Aplicada alumni Academics of University College Dublin Johns Hopkins University faculty Living people 1944 births People from County Cork Members of the Royal Irish Academy Academics of the Dublin Institute for Advanced Studies