Information: - Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography, error-correction, and networking. Codes are studied by various scientific disciplinessuch as information theory, electrical engineering, mathematics, linguistics, and computer sciencefor the purpose of designing efficient and reliable data transmission methods. This typically involves the removal of redundancy and the correction or detection of errors in the transmitted data. - Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. - In abstract algebra, a finite group is a mathematical group with a finite number of elements. A group is a set of elements together with an operation which associates, to each ordered pair of elements, an element of the set. With a finite group, the set is finite. - The University of Manchester Institute of Science and Technology (UMIST) was a university based in the centre of the city of Manchester in England. It specialised in technical and scientific subjects and was a major centre for research. On 1 October 2004, it was subsumed by the Victoria University of Manchester (commonly called the University of Manchester) to form a new entity also called The University of Manchester. - Red brick university (or redbrick university) is a term originally used to refer to six civic universities founded in the major industrial cities of Great Britain in the 19th century. The term is now used more broadly to refer to British universities founded in the late 19th and early 20th centuries in major cities. All of the six original redbrick institutions, or their predecessor institutes, gained university status before World War I and were initially established as civic science or engineering colleges. - 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, advocacy and other programs. - A university ("a whole", "a corporation") is an institution of higher (or tertiary) education and research which grants academic degrees in various subjects. Universities typically provide undergraduate education and postgraduate education. - The University of Illinois at Chicago or UIC is a state-funded public research-intensive university located in Chicago, Illinois, United States. Its campus is in the Near West Side community area, adjacent to the Chicago Loop. The second campus established under the University of Illinois system, UIC is also the largest university in the Chicago area, having approximately 29,000 students enrolled in 15 colleges. - The Noether Lecture is an award and lecture series that honors women "who have made fundamental and sustained contributions to the mathematical sciences". The Association for Women in Mathematics (AWM) established the annual lectures in 1980 as the Emmy Noether Lectures, in honor of one of the leading mathematicians of her time. In 2013 it was renamed the AWM-AMS Noether Lecture and since 2015 is sponsored jointly with the American Mathematical Society (AMS). The recipient delivers the lecture at the yearly American Joint Mathematics Meetings held in January. - Amalie Emmy Noether (23 March 1882 14 April 1935) was a German mathematician known for her landmark contributions to abstract algebra and theoretical physics. - In mathematics and abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. - Representation theory is a branch of mathematics that studies abstract algebraic structures by "representing" their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essence, a representation makes an abstract algebraic object more concrete by describing its elements by matrices and the algebraic operations in terms of matrix addition and matrix multiplication. The algebraic objects amenable to such a description include groups, associative algebras and Lie algebras. The most prominent of these (and historically the first) is the representation theory of groups, in which elements of a group are represented by invertible matrices in such a way that the group operation is matrix multiplication. - The representation theory of groups is a part of mathematics which examines how groups act on given structures. - Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria (as in combinatorial designs and matroid theory), finding "largest", "smallest", or "optimal" objects (extremal combinatorics and combinatorial optimization), and studying combinatorial structures arising in an algebraic context, or applying algebraic techniques to combinatorial problems (algebraic combinatorics). - The University of Manchester (UoM) is a public research university in Manchester, England, formed in 2004 by the merger of the University of Manchester Institute of Science and Technology and the Victoria University of Manchester. The University of Manchester is a red brick university, a product of the civic university movement of the late-19th century. - Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros. - The Joint Mathematics Meetings (JMM) are a mathematics conference hosted annually in early January by the American Mathematical Society (AMS) and the Mathematical Association of America (MAA). Frequently, several other national mathematics organizations also participate. The meeting is the largest gathering of mathematicians in the United States, with several thousand talks, panels, minicourses, and poster sessions each year. - Modular representation theory is a branch of mathematics, and that part of representation theory that studies linear representations of finite groups over a field "K" of positive characteristic. As well as having applications to group theory, modular representations arise naturally in other branches of mathematics, such as algebraic geometry, coding theory, combinatorics and number theory. - The Association for Women in Mathematics (AWM) is a professional society whose mission is to encourage women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity for and the equal treatment of women and girls in the mathematical sciences. The AWM was founded in 1971 and incorporated in the state of Massachusetts. AWM has approximately 5200 members, including over 250 institutional members, such as colleges, universities, institutes, and mathematical societies. It offers numerous programs and workshops to mentor women and girls in the mathematical sciences. Much of AWMs work is supported through federal grants. - Bhama Srinivasan ( April 22 , 1935 ) is a mathematician known for her work in the representation theory of finite groups . Her contributions were honored with the 1990 Noether Lecture . She served as President of the Association for Women in Mathematics from 1981 to 1983 . She earned her Ph.D. in physics in 1959 with her dissertation Problems on Modular Representations of Finite Groups under J. A. Green at the University of Manchester . She currently is a professor at the University of Illinois at Chicago . She has had five doctoral students . She has co-authored a number of papers with Paul Fong in modular representation theory and Deligne -- Lusztig theory . Srinivasan was born in Madras , India . She attended the University of Madras , where she earned her bachelor of arts degree in 1954 and her master of science degree in 1955 . She traveled to England for her doctoral study . She remained in England to commence her professional academic career as a lecturer in mathematics at the University of Keele from 1960 through 1964 . She then pursued a postdoctoral fellowship at the University of British Columbia through the National research Council of Canada from 1965 through 1966.She returned home to India to teach at the Ramanujan Institute of Mathematics of her Alma mater , the University of Madras , from 1976 though 1970 . Srinivasan then immigrated to the United States , where she taught for the next decade at Clark University in Worcester , Massachusetts , as an associate professor . In 1977 , she became a naturalized citizen of the United States . That year , she was a member of the Institute for Advanced Studies at Princeton . In 1980 , she commenced her longstanding tenure at the University of Illinois as a professor of mathematics at the Chicago Circle campus . Srinivasan has distinguished herself in her field throughout her career . In January , 1979 , she delivered the Invited Address to the American Mathematical Society ( AMS ) at the Joint Mathematics Meetings in Biloxi , Mississippi . She has also... - Number theory or, in older usage, arithmetic is a branch of pure mathematics devoted primarily to the study of the integers. It is sometimes called "The Queen of Mathematics" because of its foundational place in the discipline. Number theorists study prime numbers as well as the properties of objects made out of integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers). After reading the paragraphs above, we are interested in knowing the entity with which 'bhama srinivasan' exhibits the relationship of 'field of work'. Find the answer from the choices below. Choices: - abstract algebra - algebraic geometry - combinatorics - commutative algebra - cryptography - data compression - education - engineering - geometry - group theory - information - mathematician - mathematics - number theory - physics - research - science - technology
Answer:
group theory