I went to school in Glasgow, Scotland, and then to Glasgow University where I gained a Honours B.Sc. (Hons) in *Mathematics and Natural* *Philosophy* in 1964. I then studied at Imperial College, London, with Jim Clunie, gaining my PhD in 1967.

I then spent 1967-68 at the University of Maryland and Syracuse University, before obtaining a lectureship at Glasgow University (1968-70). I then moved to Queen Elizabeth College, London [now part of Kings College London] for 1970-78, before gaining a Chair at The Open University in Milton Keynes, UK. I was Head of the Pure Mathematics Department for 17 years, and then Dean of the Faculty of Mathematics and Computing for 10 years (1996-2006). I retired in 2007, and was then made Emeritus Professor.

I was Secretary of the *Maclaurin Society*, Glasgow University (1963-64) and Secretary of the Imperial College *Mathematics Society* (1965-67). Then I was Council and General Secretary of the *London Mathematical Society *(1981-91), Editor of the *LMS Proceedings* (1983-86), Publications Secretary of the LMS (1986-96), and Secretary of the *European Mathematical Society* (1999-2002). I also organised a range of conferences on Complex Analysis at Durham University in the 1970s and 1980s.

I served for many years as Reviewer for *Mathematical Reviews* (1966-2013) and *Zentralblatt für Mathematik* (1968-2013).

I was also External Examiner at around a dozen universities and Teaching Quality Assessor at around ten universities over the years.

Currently I am working on updating my textbooks on *Geometry *and *Advanced Calculus*, both published by CUP.

My PhD thesis *On univalent polynomials and related classes of functions* was written under the direction of Jim Clunie at Imperial College. Since then I have conducted research in univalent functions, complex polynomials, and planar harmonic functions.

Here are my publications:

__Coefficient regions for univalent polynomials of small degree__,*Mathematika*14 (1967), 165-169; MR 36 # 3971.__On a conjecture of Ilieff__,*Proc. Camb. Phil. Soc.*64(1968), 83-85; MR 36 # 3958.__On functions of bounded boundary rotation__I,*Proc. Edinburgh Math. Soc*. 16 (1969), 339-347; MR 41 # 8642.__On functions of boundary of bounded rotation__II,*Bull. London Math. Soc*. 1. (1969), 321-322; MR 41 # 8643.- (with R. R. Hornblower)
__Sums and products of functions in the MacLane class__,__A__*Mathematika*16 (1969), 86-87, MR 40 # 2871. - (with Chr. Pommerenke)
__On the Bernstein-Szegö theorem for complex____polynomials__,*Canadian J. Math*. 21 (1969), 370-371; MR 38 # 6033. - (with W. E. Kirwan)
__On some classes of bounded univalent functions__,*J. London Math. Soc.*(2) 1 (1969), 431-443; MR 40 # 4439. - (with W. E. Kirwan)
__A covering theorem for typically-real functions__,*Glasgow**Math. J.*10 (1969), 153-155; MR 40 # 7431. __On univalent polynomials__,*Glasgow**Math. J.*11 (1970),102-107; MR43 # 2204.- (with W. E. Kirwan)
__The Maclaurin coefficients of bounded convex functions__,*Bull. London Math. Soc.*2 (1970), 159-164; MR 42 # 6211. - (with W. E. Kirwan & J. G. Clunie)
__Coefficient estimates for a class of starlike fun____ctions__,*Canadian J. Math.*22 (1970), 476-485; MR 41 # 5614. - (with W. E. Kirwan)
__The growth of the maximum modulus of univalent____functions__,*Duke Math. J.*38 (1971), 805-818; MR 45 # 5334. - (with W. E. Kirwan & J. G. Clunie)
__On the coefficient problem for functions of____bo____unded boundary rotation__,*Ann. Acad. Sci. Fenn Ser. A*, No. 523 (1973), 18pp, MR 49 # 3108. __O____n coefficient problems for certain power series__,*Proc. Symposium on Complex Analysis*(1973),*L.M.S. Lecture Notes Series*, Vol. 12 (1974), 17-27; MR 54 # 537.- (with L. Brickman)
__Coefficient regions for starlike polynomials__,*Ann. Univ. Mariae-Curie Skladowska Sect. A.*29 (1975), 15-21 (1977); MR 56 # 8819. - (with W. K. Hayman, W. H. J. Fuchs and Ü. Kuran)
__A characterisation of harmonic polynomials in the plane__,*Proc. London Math. Soc*., (3) 32 (1976), 213-229; MR 53 # 833. - (with J. M. Anderson and K. F. Barth)
__Research problems in complex analysis__,*Bull. London Math. Soc.*9 (1977), 129-162; MR 55 # 12899. __The Grunsky coefficients of meromorphic starlike and convex functions__,*Annals Univ.**Mariae-Curie Skladowska, Sect. A*31 (1977), 45-48 (1980); MR 81c: 30054.__Analytic mappings of the unit disk on a convex domain; Solution to Problem 6071__,*American Mathematical Monthly*84 (1977), 663.- (with K. F. Barth and W. K. Hayman)
__The growth of plane harmonic functions along an asymptotic path__,*Proc. London Math. Soc.*(3) 37 (1978), 363-384; MR 80b: 31001. - (with W. E. Kirwan)
__Some covering theorems for analytic functions__,*J. London Math. Soc.*(2) 19 (1979); 93-101; MR 80d: 30011. - (with J. G. Clunie, Joint Eds.)
__Aspects of Contemporary Complex Analysis__,*Academic Press*(1980), 527pp; ISBN 0-12-125950-1; MR82f: 30001. __The Lowner Differential Equation____,__*Aspects of Contemporary Complex Analysis*, Academic Press (1980), 79-95; MR 82i: 30029.- (joint Editor)
__C____ollected Papers of J. E. Littlewood__, Vols. I and II,*Oxford**University Press*, Oxford (1982); MR84m: 01046. - (with K. F. Barth and W. K. Hayman)
__Research Problems in complex analysis__,*Bull. London Math. Soc.*16 (1984), 490-517; MR86b: 30004. - (with J. G. Clunie)
__The extreme points of some classes of polynomials__,*Math. Proc. Roy. Soc. Edinburgh*, 101A (1985), 99-110; MR87c: 30005. __O____n the behaviour of continuous functions near infinity__,*Complex Variables*, 5 (1985), 221-228; MR87i: 30060.- (with T. S. Taha)
__On some classes of bi-univalent functions__,*Mathematical Analysis and its Applications*,*Proceedings of the International Conference on Mathematical Analysis and its Applications*, (eds. S. M. Mazhar, A. Hamoui and N. S. Faour), Pergamon Press (1988); 53-60; MR 90a: 30022; & in*Studia**Univ.**Babes-Bolyai Math.*31 (1986), no. 2, 70-77; MR 88k: 30012. - (with K. F. Barth)
__A____symptotic tracts of harmonic functions__I,*Ann. Acad. Sci. Fenn. Series AI Mathematics*, 11 (1986), 215-232; MR87k: 31001. __G____rowth rates of subharmonic functions in the plane__,*J. Ramanujan Math. Soc*., 1 (1986), 1-7; MR 89g: 31002.- (with A. K. Lyzzaik)
__S____ome covering properties of locally-univalent functions__,*Ann. Acad. Sci. Fenn. Series AI Mathematics*, 13 (1988), 3-23; MR 90c: 30005. - (with W. K. Hayman)
__R____esearch problems in complex analysis__,*Bull. London Math. Soc.*, (1989) 21 (1989), 1-35; MR 89m: 30001. __So____me covering properties of locally univalent functions__,*Analysis and Related Mathematical Fields*(ed. D. Skordev),*Ser. Pliska, Studia Mathematica Bulgarica*11 (1991), 11-14; MR 92m: 30034.- (with K. F. Barth)
__Asymptotic tracts of harmonic functions__II,*Proc. Edinburgh Math. Soc.*, 38 (1995), 35-52; MR 96h: 31001. - (with K. F. Barth)
__Asymptotic tracts of harmonic functions__III,*International Journal of Mathematics and Mathematical Sciences*, 19, no. 4 (1996), 633-636; MR 97k: 31001. __On univalence, multivalence and infinite-valence__,*Complex Variables*, 33 (1997), 63-74; MR 99a: 30010.

I have also supervised the research students: Peter Jelinski, Paul Hide and Taha S. Taha.

I have also been awareded the *Lomonosoff Medal* of the Russian Academy of Sciences, for services to mathematics research publishing.

Over the years I taught a wide range of undergraduate and postgraduate pure mathematics courses in a face-to-face situation in Glasgow, London, Maryland and Syracuse universities.

I have also written material for distance learning courses for the (UK) Open University in *Complex Analysis, Differential Geometry*, *Metric and Topological Spaces*, *Advanced Calculus*, *Lebesgue Integration, Linear Algebra*, *Group Theory* and *Geometry*. Associated with this I have made a good number of audio-cassettes and TV programmes, mostly on *Advanced Calculus, Geometry and Group Theory*.

Externally I have been an External Examiner at around a dozen universities in UK, Ireland and Malaysia; and been a Teaching Quality Assessor at around ten universities in UK.

I have also written two successful textbooks:

** Geometry **(with M. F. Esplen and J. J. Gray), Cambridge University Press (1999), 514pp; ISBN 0-521-59193-7 (hbk) & 0-521-59787-0 (pbk). MR 2000c: 51001.

Arabic translation: Arab Centre for Arabization, Translation, Authorship and Publication (ACATAP - ALESCO) (2001).

This has now had a second edition:

__Geometry__ (2^{nd} edition) (with M. F. Esplen and J. J. Gray), Cambridge University Press (2012), 587pp; ISBN: `978-1-107-64783-1 (pbk).`

__Instructors Manual: Geometry__ (with M. F. Esplen and J. J. Gray), Cambridge University Press (2012); www.cambridge.org/9781107647831`;
`ISBN:

** A First Course in Mathematical Analysis,** Cambridge University Press (2006), 453pp; ISBN 0-521-86439-9 (hbk) & 0-521-68424-2 (pbk). Reprinted with corrections, 2012.

Pure Mathematics

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