Seán Dineen (born February 1944) is an Irish mathematician specialising in complex analysis. His academic career was spent, in the main, at

University College Dublin University College Dublin (commonly referred to as UCD) ( ga, Coláiste na hOllscoile, Baile Átha Cliath) is a public research university in Dublin, Ireland, and a member institution of the National University of Ireland. With 33,284 student ...

(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 University College Cork – National University of Ireland, Cork (UCC) ( ga, Coláiste na hOllscoile Corcaigh) is a constituent university of the National University of Ireland, and located in Cork. The university was founded in 1845 as one ...

(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). He completed his MSc there in 1965, and was awarded a National University of Ireland 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 The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of M ...

. His official supervisor there was John Horvath, but his PhD research was carried out in

Rio de Janeiro Rio de Janeiro ( , , ; literally 'River of January'), or simply Rio, is the capital of the state of the same name, Brazil's third-most populous state, and the second-most populous city in Brazil, after São Paulo. Listed by the GaWC as a ...

Instituto Nacional de Matemática Pura e Aplicada The Instituto Nacional de Matemática Pura e Aplicada (IMPA; en, National Institute for Pure and Applied Mathematics) is widely considered to be the foremost research and educational institution of Brazil in the area of mathematics. It is loc ...

(IMPA) under the supervision of Leopoldo Nachbin. He completed his thesis on "Holomorphy Types on a Banach Space" in 1970.Seán Dineen
at the

Mathematics Genealogy Project The Mathematics Genealogy Project (MGP) is a web-based database for the academic genealogy of mathematicians.. By 31 December 2021, it contained information on 274,575 mathematical scientists who contributed to research-level mathematics. For a ty ...

UCD Career

Dineen spent the year 1969-1970 at Johns Hopkins as an instructor before returning to Ireland. After two years at the

Dublin Institute for Advanced Studies The Dublin Institute for Advanced Studies (DIAS) ( ga, Institiúid Ard-Léinn Bhaile Átha Cliath) is a statutory independent research institute in Ireland. It was established in 1940 on the initiative of the Taoiseach, Éamon de Valera, in Dub ...

(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 complex analysis and the topological structure of spaces of Holomorphic functions. He later worked on

bounded symmetric domain In mathematics, a Hermitian symmetric space is a Hermitian manifold which at every point has an inversion symmetry preserving the Hermitian structure. First studied by Élie Cartan, they form a natural generalization of the notion of Riemannian ...

s and

spectral theory In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces. It is a result ...

, 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.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