Ajit Iqbal Singh (born 1943) is an Indian

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

, specialising in

functional analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. Inner product space#Definition, inner product, Norm (mathematics)#Defini ...

and

harmonic analysis Harmonic analysis is a branch of mathematics concerned with the representation of Function (mathematics), functions or signals as the Superposition principle, superposition of basic waves, and the study of and generalization of the notions of Fo ...

. Singh is a

Fellow A fellow is a concept whose exact meaning depends on context. In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements. Within the context of higher education ...

of the Indian National Science Academy (INSA), India's apex body of scientists and technologists. She is also a fellow of the National Academy of Sciences (India), based in

Allahabad Allahabad (), officially known as Prayagraj, also known as Ilahabad, is a metropolis in the Indian state of Uttar Pradesh.The other five cities were: Agra, Kanpur (Cawnpore), Lucknow, Meerut, and Varanasi (Benares). It is the administrat ...

Education

Singh completed her under graduation in Mathematics from

Indraprastha College Indraprastha College for Women, also known as Indraprastha College or IP College ( hi, इंद्रप्रस्थ महिला महाविद्यालय), is the oldest women's college in Delhi. Established in 1924, it is a con ...

and graduated in the same subject from

Delhi University Delhi University (DU), formally the University of Delhi, is a collegiate university, collegiate Central university (India), central university located in New Delhi, India. It was founded in 1922 by an Act of the Central Legislative Assembly and ...

in 1963 and 1965, respectively. She earned a PhD in mathematics from the

University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...

in 1969. Her dissertation titled 'Contributions to the Theory of Linear Operators in Locally Convex Spaces', was supervised by Frank Smithies. Singh attended Cambridge as a

Commonwealth Scholar The Commonwealth Scholarship and Fellowship Plan (CSFP) is an international programme under which Commonwealth governments offer scholarships and fellowships to citizens of other Commonwealth countries. History The plan was originally proposed ...

at Newnham College from 1966 to 1969.

Career

Singh began teaching immediately after completing her master's degree, as faculty at

, Delhi University. On completing her PhD from Cambridge, she returned to Delhi and joined

Hindu College Hindu College may refers to several colleges around the world, including: India *Dharmamurthi Rao Bhahadur Calavala Cunnan Chetty's Hindu College, Chennai, Tamil Nadu * Gobardanga Hindu College, West Bengal * Gokul Das Hindu Girls College, Moradab ...

. She taught alongside her research in functional analysis and harmonic analysis. In 1974, Singh was appointed Reader in Mathematics at Delhi University South Campus and continued on as Professor from 1984 to 2008. From 2008, she has been a Visiting Professor at the

Indian Statistical Institute, Delhi Centre Indian Statistical Institute (ISI) is a higher education and research institute which is recognized as an Institute of National Importance by the 1959 act of the Indian parliament. It grew out of the Statistical Laboratory set up by Prasanta ...

Work

Singh has worked on linear operators in locally convex spaces, topological algebra, spectral synthesis in hypergroups, multipliers and module

homomorphism In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces). The word ''homomorphism'' comes from the Ancient Greek language: () meaning "same" ...

s, semigroup algebras, applications of harmonic analysis to differential equations and orthogonal polynomials, geometry of the range of a vector measure, and quotient rings of algebras of functions and operators.

Awards and recognition

Singh was awarded the Rai Bahadur Brij Mohan Lal Saheb Memorial Gold Medal and the Ravi Kanta Devi Prize from Delhi University.

References

{{DEFAULTSORT:Singh, Ajit Iqbal Living people 1943 births 20th-century Indian mathematicians Indian women mathematicians Indraprastha College for Women alumni Fellows of the Indian National Science Academy Fellows of The National Academy of Sciences, India 20th-century women mathematicians 20th-century Indian women