C.T.C. Wall
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Charles Terence Clegg "Terry" Wall (born 14 December 1936) is a British mathematician, educated at
Marlborough Marlborough may refer to: Places United Kingdom * Marlborough, Wiltshire, England ** Marlborough College, public school * Marlborough School, Woodstock in Oxfordshire, England * The Marlborough Science Academy in Hertfordshire, England Austral ...
and
Trinity College, Cambridge Trinity College is a constituent college of the University of Cambridge. Founded in 1546 by Henry VIII, King Henry VIII, Trinity is one of the largest Cambridge colleges, with the largest financial endowment of any college at either Cambridge ...
. He is an
emeritus ''Emeritus'' (; female: ''emerita'') is an adjective used to designate a retired chair, professor, pastor, bishop, pope, director, president, prime minister, rabbi, emperor, or other person who has been "permitted to retain as an honorary title ...
professor of the
University of Liverpool , mottoeng = These days of peace foster learning , established = 1881 – University College Liverpool1884 – affiliated to the federal Victoria Universityhttp://www.legislation.gov.uk/ukla/2004/4 University of Manchester Act 200 ...
, where he was first appointed professor in 1965. From 1978 to 1980 he was the president of the
London Mathematical Society The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical S ...
.


Work

His early work was in
cobordism theory In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary (French '' bord'', giving ''cobordism'') of a manifold. Two manifolds of the same dim ...
in
algebraic topology Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariant (mathematics), invariants that classification theorem, classify topological spaces up t ...
; this includes his 1959 Cambridge PhD thesis entitled "Algebraic aspects of cobordism", written under the direction of
Frank Adams John Frank Adams (5 November 1930 – 7 January 1989) was a British mathematician, one of the major contributors to homotopy theory. Life He was born in Woolwich, a suburb in south-east London, and attended Bedford School. He began research ...
and
Christopher Zeeman Sir Erik Christopher Zeeman FRS (4 February 1925 – 13 February 2016), was a British mathematician, known for his work in geometric topology and singularity theory. Overview Zeeman's main contributions to mathematics were in topology, partic ...
. His research was then mainly in the area of
manifold In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n-dimensional manifold, or ''n-manifold'' for short, is a topological space with the property that each point has a n ...
s, particularly
geometric topology In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another. History Geometric topology as an area distinct from algebraic topology may be said to have originated i ...
and related
abstract algebra In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term ''a ...
included in surgery theory, of which he was one of the founders. In 1964 he introduced the
Brauer–Wall group In mathematics, the Brauer–Wall group or super Brauer group or graded Brauer group for a field ''F'' is a group BW(''F'') classifying finite-dimensional graded central division algebras over the field. It was first defined by as a generalization ...
of a field. His 1970 research monograph "Surgery on Compact Manifolds" is a major reference work in geometric topology. In 1971 he
conjecture In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (a conjecture until proven in 19 ...
d that every finitely generated group is
accessible Accessibility is the design of products, devices, services, vehicles, or environments so as to be usable by people with disabilities. The concept of accessible design and practice of accessible development ensures both "direct access" (i.e ...
. The conjecture motivated much progress in the understanding of splittings of
groups A group is a number of persons or things that are located, gathered, or classed together. Groups of people * Cultural group, a group whose members share the same cultural identity * Ethnic group, a group whose members share the same ethnic iden ...
. In 1985
Martin Dunwoody Martin John Dunwoody (born 3 November 1938) is an emeritus professor of Mathematics at the University of Southampton, England. He earned his PhD in 1964 from the Australian National University. He held positions at the University of Sussex befor ...
proved the conjecture for the class of
finitely presented group In mathematics, a presentation is one method of specifying a group. A presentation of a group ''G'' comprises a set ''S'' of generators—so that every element of the group can be written as a product of powers of some of these generators—and ...
s. The resolution of the full conjecture took until 1991 when, surprising to most mathematicians at the time, Dunwoody found a finitely generated group that is not accessible and hence the conjecture turned out to be not correct in its general formulation. Wall's work since the mid-1970s has mostly been in singularity theory as developed by R. Thom, J. Milnor and V. Arnold, and especially concerns the classification of isolated singularities of
differentiable map In mathematics, a differentiable function of one real variable is a function whose derivative exists at each point in its domain. In other words, the graph of a differentiable function has a non-vertical tangent line at each interior point in its ...
s and of algebraic varieties. He has written two research monographs on singularity theory, "The Geometry of Topological Stability" (1995) (containing a great deal of original work) with Andrew du Plessis, and "Singular Points of Plane Curves" (2004). His notable students include
Michael Boardman John Michael Boardman (13 February 193818 March 2021) was a mathematician whose speciality was algebraic and differential topology. He was affiliated with the University of Cambridge, England and the Johns Hopkins University in Baltimore, Mar ...
, Bill Bruce,
Andrew Casson Andrew John Casson FRS (born 1943) is a mathematician, studying geometric topology. Casson is the Philip Schuyler Beebe Professor of Mathematics at Yale University. Education and Career Casson was educated at Latymer Upper School and Trinity Co ...
, Francis E. A. Johnson,
David Mond David (; , "beloved one") (traditional spelling), , ''Dāwūd''; grc-koi, Δαυΐδ, Dauíd; la, Davidus, David; gez , ዳዊት, ''Dawit''; xcl, Դաւիթ, ''Dawitʿ''; cu, Давíдъ, ''Davidŭ''; possibly meaning "beloved one". w ...
, Andrew du Plessis, and David Trotman.


Awards

*1965 –
Berwick Prize The Berwick Prize and Senior Berwick Prize are two prizes of the London Mathematical Society awarded in alternating years in memory of William Edward Hodgson Berwick, a previous Vice-President of the LMS. Berwick left some money to be given to the ...
*1966 – Invited address at the 1966 ICM in Moscow *1969 – Elected Fellow of the
Royal Society The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, re ...
*1970 – Invited address at the 1970 ICM in Nice *1976 –
Senior Whitehead Prize The Senior Whitehead Prize of the London Mathematical Society (LMS) is now awarded in odd numbered years in memory of John Henry Constantine Whitehead, president of the LMS between 1953 and 1955. The Prize is awarded to mathematicians normally ...
*1988 – Pólya Prize *1988 – Sylvester Medal *1990 – Elected a Foreign Member of the
Royal Danish Academy of Sciences and Letters {{Infobox organization , name = The Royal Danish Academy of Sciences and Letters , full_name = , native_name = Det Kongelige Danske Videnskabernes Selskab , native_name_lang = , logo = Royal ...
*2000 – Elected Honorary Member of the Irish Mathematical Society *2012 – Fellow of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...


Personal life

Terry Wall has been married to Sandra Hearnshaw since 1959, and they have four children together. He was the treasurer of the Wirral area SDP from 1985 until its merger with the then Liberal Party in 1988. Wall continued on as treasurer of the newly formed
Wirral West Wirral West is a constituency represented in the House of Commons of the UK Parliament by Margaret Greenwood of the Labour Party since 2015. Constituency profile The constituency is one of four covering the Metropolitan Borough of Wirral. It ...
Liberal Democrats but, as of May 2020, is no longer holding this position. Wall has been an LEA appointed
governor A governor is an administrative leader and head of a polity or political region, ranking under the head of state and in some cases, such as governors-general, as the head of state's official representative. Depending on the type of political ...
of
West Kirby Grammar School West Kirby Grammar School (abbreviated to WKGS) is a non-denominational selective state grammar school, founded in 1913, with academy status in West Kirby on the Wirral Peninsula, England. The school admits girls from age 11 to 18 and, since ...
since 1987 but has also given up this position. He has also held the post of treasurer at
Hoylake Hoylake is a coast, seaside town in the Metropolitan Borough of Wirral, Merseyside, England. It is at the north west of the Wirral Peninsula, near West Kirby and where the River Dee, Wales, River Dee meets the Irish Sea. Historic counties of En ...
Chamber Concert Society. He has 7 grandchildren of which he lives with 3, Alex, Armand and Josie. He also has 2 great grandchildren as of 2020, Rory and Felix.


References


External links

*
His contact details and list of recent publicationsSurgery theory
{{DEFAULTSORT:Wall, C. T. C. 1936 births Living people Scientists from Bristol People educated at Marlborough College Alumni of Trinity College, Cambridge Topologists Academics of the University of Liverpool 20th-century British mathematicians 21st-century British mathematicians Fellows of the Royal Society Fellows of the American Mathematical Society