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Department of Mathematics

Research Activities

The Department of Mathematics has good amount of recognition and reputation for research. Our faculties are engaged persistently in intensive research activities, tackling the burning problems in science and technology. Besides the publications, invited talks and conference presentations, our faculties edit and review numerous scholarly reputed journals, articles, research notes, books etc.

Major Research Areas

Algebra and Algebraic GeometryAlgebraic Complexity Theory
Algebraic TopologyArithmetic Algebraic Geometry
Coding TheoryCombinatorial Testing
CombinatoricsCommutative Algebra
Complex AnalysisControl Theory
CryptographyDifferential Equations
Discrete MathematicsDynamical Systems
Financial MathematicsFracture Mechanics
Functional AnalysisGraph Theory
Harmonic AnalysisHyperbolic Conservation La
Lie Transformations and ApplicationsLinear Algebra
Mathematical BiologyMathematical Modelling
Number TheoryNumerical Analysis
Numerical Linear AlgebraOperator Theory 
Partial Differential EquationsSingular Integral Equations
Stochastic Control TheoryTensor Analysis
Topology and GeometryWavelet Analysis

Ph.D. Qualifying Areas

AlgebraCommutative Rings, Non-commutative Rings, Groups and their Representations, Field Theory, Module Theory, Homological Algebra, Number Theory and Algebraic Geometry.
AnalysisReal Analysis, Complex Analysis, Functional Analysis, Nonlinear Analysis, Differential Geometry.
Differential Equations and ApplicationsOrdinary & Partial Differential Equations, Mathematical Biology, Mathematical Modeling, Fluid Dynamics, Applied Functional Analysis, Image Processing, Dynamical Systems, Control Theory.
Discrete MathematicsBoolean and Fuzzy Logic, Graph Theory, Combinatorial Mathematics, Cryptography, Discrete Mathematical Structures, Design and Analysis of Algorithms, Lattice Theory, Coding Theory.
Applied StatisticsStatistical Inference, Regression Analysis, Statistical Quality Control, Demography, Design of Experiments & Analysis of Variance, Financial Mathematics, Stochastic Processes.
Operations ResearchQueuing Theory, Inventory Systems, Reliability Theory, Data Envelopment Analysis, Linear and Nonlinear Programming.
Numerical Methods and ApplicationsNumerical Methods for Ordinary, Partial and Integro-Differential Equations and Applications to Fluid Dynamics and Fracture Mechanics.
Cosmology and RelativityGeneral Theory of Relativity, Alternative Theory of Relativity, Tensor Calculus.

Significant Collaborations

International Collaborations

 

Division of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Japan.
Mathematical Institute of the University of Munich, Munich, Germany.
Department of Mathematics, Tunghai University, Taiwan.
Department of Mathematics and Statistics, Auburn University, USA.
Department of Mathematics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany.
Department of Mathematics, University of Haifa, Israel.
School of Mathematical and Physical Sciences, University of Newcastle, Australia.
Department: of Mathematics, American Mathematical Society, USA.
Faculty of Science & Mathematics, University of NIS, Serbia.
Department of Mathematics, University of Central Florida, USA.
School of Basic Sciences and Humanities, German Jordanian University, Jordan.
Department of Mathematics, Oregon State University, USA.
Department: School of Computing, Informatics and Decision Systems Engineering, Arizona State University, USA.

National Collaborations

Department of Mathematics, IISc, Bengaluru.
Applied Statistics Unit, Institute: Indian Statistical Institute, Kolkata.
Department: Mathematics, Institute: Institute of Mathematical Sciences, Chennai.
Department: Mathematics, Institute: Harish Chandra Research Institute, Allahabad.
Department: Statistics and Mathematics, Institute: Indian Statistical Institute, Delhi.
Department: School of Mathematics and Statistics, Hyderabad Central University, Hyderabad.
Department of Mathematics, IIT (BHU), Varanasi.
Department of Mathematics, IIT Bombay, Mumbai.
School of Mathematics, TIFR, Mumbai.
Amrita Vishwa Vidyapeetham, Coimbatore.
Foundation for Scientific Research and Technological Innovation, Hyderabad.
Department of Mathematics, IISST, Thiruvananthapuram.
Amity Institute of Applied Sciences, Amity University, Uttar Pradesh, Noida.
Department of Mathematics & Statistics, IISER, Kolkata.
School of Mathematics, TIFR, Mumbai.
Department of Mathematics, School of Mathematical Sciences, Ramakrishna Mission Vivekananda Educational and Research Institute, Kolkata.
ICT, Mumbai, India.
Department of Mathematics, IISER Pune, India.
Department of Mathematics, ISI Bangalore, India.
Department of Mathematics, IIT Goa, India.
Department of Mathematics, IIT Kharagpur, India.
School of Vocational Studies and Applied Sciences, Gautam Buddha University, Greater Noida