The Institute of Mathematics and Applications (IMA), located in

Bhubaneswar Bhubaneswar (; ) is the capital and largest city of the Indian state of Odisha. The region, especially the old town, was historically often depicted as ''Ekamra Kshetra'' (area (''kshetra'') adorned with mango trees (''ekamra'')). Bhubaneswar is ...

Odisha Odisha (English: , ), formerly Orissa ( the official name until 2011), is an Indian state located in Eastern India. It is the 8th largest state by area, and the 11th largest by population. The state has the third largest population of ...

, in

India India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the so ...

, is a research and education institution that was established by the

Government of Odisha The government of the Indian state of Odisha and its 30 districts consists of an executive, led by the Governor of Odisha, a judiciary, and a legislative branch. Like other states in India, the head of state of Odisha is the Governor, appoi ...

in 1999. Its dual purposes are to conduct advanced research in pure and applied mathematics and to provide postgraduate education leading to master's and Ph.D. degrees in mathematics, computation, computational finance, and data science. The institute also runs training programs in schools aimed at increasing mathematics awareness and leading to competitions such as the Mathematics Olympiads. The UG and PG courses are currently affiliated to

Utkal University Utkal University (UU) is a Public university in Bhubaneswar, Khordha district, Khordha, Odisha, and is the oldest university in Odisha, the state, and the 17th-oldest university in India. It is a teaching-cum-affiliating university. The pre ...

, which is the largest affiliating university in the country.

History

The institute was established by the

in the year 1999, vide the Resolution of the Government of Odisha, Science and Technology Department letter no. 368-ST-I (SC) – 159/98 dated 31 May 1999 with wide-ranging aims and objectives as notified in the Gazette No. 18, 23 July 1999 / SRAVANA, 1, 1921. The institute has been registered on 28 March 2000 under the provision of Registration of Societies Act 1860 with Registration No. 20851 /187 of 1999–2000. The institute began functioning in 1999 inside a room of the

Pathani Samanta Planetarium Pathani Samanta Planetarium is a planetarium in the city of Bhubaneswar in India named after astronomer Pathani Samanta. It was founded for creating awareness about astronomy . It carries on activities like night sky viewing, audio visual pro ...

. On 23 July 2008, IMA acquired its residential campus, built by

Tata Steel Tata Steel Limited is an Indian multinational steel-making company, based in Jamshedpur, Jharkhand and headquartered in Mumbai, Maharashtra. It is a part of the Tata Group. Formerly known as Tata Iron and Steel Company Limited (TISCO), Tata ...

city, when it was established as a full-fledged, degree-granting academic institution. The new institute was inaugurated by Sj.

Naveen Patnaik Naveen Patnaik (born 16 October 1946) is an Indian politician serving as the current and 14th Chief Minister of Odisha. He is also the president of the Biju Janata Dal, a writer and has authored three books. He is the longest-serving chief min ...

was then the honorable chief minister.

Academics

B.Sc. Honors in Mathematics and Computing

The institute offers a Bachelor of Science (Honors) Degree in Mathematics and Computing. The course includes the study of pure mathematics as well as mathematical modeling and the use of abstract methods to solve concrete problems.

Computer Science Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to Applied science, practical discipli ...

is major and compulsory for every student and it includes the study of Algorithms design, Analysis,

Cellular Automata A cellular automaton (pl. cellular automata, abbrev. CA) is a discrete model of computation studied in automata theory. Cellular automata are also called cellular spaces, tessellation automata, homogeneous structures, cellular structures, tessel ...

, and other branches in

Theoretical Computer Science Theoretical computer science (TCS) is a subset of general computer science and mathematics that focuses on mathematical aspects of computer science such as the theory of computation, lambda calculus, and type theory. It is difficult to circumsc ...

. Rigorous training and a lot of exposure to pure mathematics are given to the students. In the final semester, each student must submit a dissertation.

M.A./M.Sc. in Computational Finance

Finance as a subject has emerged to be an extremely involved branch of knowledge with a growing number of stock exchanges and investors in the field. Risk and return that constitute cardinal aspects of the subject remain as a major concern for every investor, individual as well as institutional. Volumes of data encountered in the process make investment decisions difficult. In apparently erratic behaviors of the market, however, the mathematicians try to capture patterns vis-a-vis predictability, which may help investors decide on their investment. Computational finance otherwise called financial engineering deals with portfolio selection, options, and futures, asset pricing, managing derivative markets, and hedging under uncertainty. The course imparts, besides, basic grounding on finance, expertise for modeling under uncertainty, a high level of computational skill geared towards finance, knowledge of financial accounting and regulations. The aim is to produce a competent financial engineer capable of analyzing existing financial products and suggesting new innovative products for the financial market.

M.A./M.Sc. in Mathematics with Data Science

The institute started a master's degree program in

Data Science Data science is an interdisciplinary field that uses scientific methods, processes, algorithms and systems to extract or extrapolate knowledge and insights from noisy, structured and unstructured data, and apply knowledge from data across a br ...

Admission criteria

The institute conducts a nationwide entrance exam near the end of July to avoid clashing with other major entrance exams. The results are usually announced in August. IMA conducts the written tests at various examination centers across India.

Campus

The main Institute is a 7,000 square meters (75,000 sq ft) complex, which was designed by architect Karan Grover, with an investment of Rs. 140 million. The 23-acre (93,000 m2) campus also includes computer laboratories, classrooms, a library, as well as residential accommodations. A playground and a volleyball court are also included. The institute provides an in-campus hostel facility for both boys and girls separately. The excellent study environment and sophisticated accommodation of the hostel accelerate the research potentiality of the students as well as research fellows. A well-stocked library with more than 5000 latest references on mathematical, financial, computational, and related subjects, as well as national and international professional journals, which support the institute's teaching, research, and extension programs.

Activities

The current focus areas of research within the institute include

Wavelet analysis A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the num ...

Stochastic process In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables. Stochastic processes are widely used as mathematical models of systems and phenomena that appea ...

es,

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 ...

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 ...

Differential geometry Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multili ...

Group representation In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector space to itself (i.e. vector space automorphisms); in particular, they can be used to re ...

Operator theory In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may be presented abstractly by their characteristics, such as bounded linear operat ...

Fuzzy logic Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely ...

, Geometric applications in

Physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...

Approximation theory In mathematics, approximation theory is concerned with how function (mathematics), functions can best be approximation, approximated with simpler functions, and with quantitative property, quantitatively characterization (mathematics), characteri ...

Lie algebra In mathematics, a Lie algebra (pronounced ) is a vector space \mathfrak g together with an Binary operation, operation called the Lie bracket, an Alternating multilinear map, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow ...

Astronomy Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest ...

Thermodynamics Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these quantities is governed by the four laws of the ...

, and

Statistical Physics Statistical physics is a branch of physics that evolved from a foundation of statistical mechanics, which uses methods of probability theory and statistics, and particularly the Mathematics, mathematical tools for dealing with large populations ...

Quantum mechanics Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, ...

and Cyclone modeling,

Machine Learning Machine learning (ML) is a field of inquiry devoted to understanding and building methods that 'learn', that is, methods that leverage data to improve performance on some set of tasks. It is seen as a part of artificial intelligence. Machine ...

in Finance,

Computational Finance Computational finance is a branch of applied computer science that deals with problems of practical interest in finance.Rüdiger U. Seydel, '' tp://nozdr.ru/biblio/kolxo3/F/FN/Seydel%20R.U.%20Tools%20for%20Computational%20Finance%20(4ed.,%20Springe ...

, etc. The institute offers a

B.Sc. A Bachelor of Science (BS, BSc, SB, or ScB; from the Latin ') is a bachelor's degree awarded for programs that generally last three to five years. The first university to admit a student to the degree of Bachelor of Science was the University of ...

Honors degree in Mathematics and Computing as well as

M.Sc. A Master of Science ( la, Magisterii Scientiae; abbreviated MS, M.S., MSc, M.Sc., SM, S.M., ScM or Sc.M.) is a master's degree in the field of science awarded by universities in many countries or a person holding such a degree. In contrast to ...

degrees in Computational Finance and Mathematics with Data Science. It currently admits 30 students each year based on a national entrance examination. It also provides training to school students for mathematical competitions. The institute professes to investigate the mathematical tradition of ancient India. It also provides awards to eminent mathematicians in the state of Odisha. Submitted projects of the institute as of 2021 are: * Workshop on Wavelets and its application. * International Workshop on

Lie Theory In mathematics, the mathematician Sophus Lie ( ) initiated lines of study involving integration of differential equations, transformation groups, and contact of spheres that have come to be called Lie theory. For instance, the latter subject is L ...

Integrable Systems and

Mathematical Physics Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and t ...

* Project on Ancient Indian Mathematics and its Contemporarily Relevance * A project on a comprehensive Lexicon and Transformal Grammar in the

Odia Odia, also spelled Oriya or Odiya, may refer to: * Odia people in Odisha, India * Odia language, an Indian language, belonging to the Indo-Aryan branch of the Indo-European language family * Odia alphabet, a writing system used for the Odia languag ...

Language * A book writing project on Analysis and Applications in progress. * A project on

Fuzzy Mathematics Fuzzy mathematics is the branch of mathematics including fuzzy set theory and fuzzy logic that deals with partial inclusion of elements in a set on a spectrum, as opposed to simple binary "yes" or "no" (0 or 1) inclusion. It started in 1965 ...

and Applications * A project on Ethno Mathematics * A project on the Mathematical Heritage of Orissa

Past events

The institute organized the 48th Annual Conference of the Odisha Mathematical Society in April 2021, which was set to attract academicians and industry-folk from all over India. The institute also hosted the 31st Annual Conference in 2004.

References

External links

* Official website
Institute of Mathematics and Applications
{{authority control Technical universities and colleges in India Research institutes in Bhubaneswar Universities and colleges in Bhubaneswar Educational institutions established in 1999 1999 establishments in Orissa Mathematical institutes