BITS Pilani

  • Page last updated on Thursday, July 04, 2019

Research

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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 Geometry Graph Theory
      Complex Analysis Harmonic and Wavelet Analysis
      Control Theory Machine Learning
      Cosmology Number Theory and Cryptography
      Financial Mathematics Operator Theory
      Fracture Mechanics Topology and Geometry
      Functional Analysis Theoretical & Computational Differential Equation

  • Ph.D. Qualifying Areas

    Algebra Commutative Rings, Non-commutative Rings, Groups and their Representations, Field Theory, Module Theory, Homological Algebra, Number Theory and Algebraic Geometry.
    Analysis Real Analysis, Complex Analysis, Functional Analysis, Nonlinear Analysis, Differential Geometry.
    Differential Equations and Applications Ordinary & Partial Differential Equations, Mathematical Biology, Mathematical Modeling, Fluid Dynamics, Applied Functional Analysis, Image Processing, Dynamical Systems, Control Theory.
    Discrete Mathematics Boolean and Fuzzy Logic, Graph Theory, Combinatorial Mathematics, Cryptography, Discrete Mathematical Structures, Design and Analysis of Algorithms, Lattice Theory, Coding Theory.
    Applied Statistics Statistical Inference, Regression Analysis, Statistical Quality Control, Demography, Design of Experiments & Analysis of Variance, Financial Mathematics, Stochastic Processes.
    Operations Research Queuing Theory, Inventory Systems, Reliability Theory, Data Envelopment Analysis, Linear and Nonlinear Programming.
    Numerical Methods and Applications Numerical Methods for Ordinary, Partial and Integro-Differential Equations and Applications to Fluid Dynamics and Fracture Mechanics.
    Cosmology and Relativity General 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.
      Dipartimento di Fisica E. Pancini, Universit di Napoli Federico II, Napoli, Italy.

    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.

  • Funded Projects

     Name of the project PI/Co-PI
    Sponsoring Agency
    Outlay (In lakh Rs.)
    Predictive Mathematical Modelling and Analysis for Effective Diagnosis and Control of Diabetes Mellitus with Associated Co-infections and Diseases Among Indians (Duration: 3 years, 2017-2020)
    Prof. P. Dhanumjaya/Prof. V. Sree Hari Rao
    Science and Engineering Research Board
    15.68
    Theoretical and Numerical Study of Elliptic and Parabolic Partial Differential Equations with Interfaces (Duration: 3 years, 2017-2020)
    Prof. P. Dhanumjaya
    National Board for Higher Mathematics
    13.48
    A Study on the Inequalities Involving Complex Polynomials (Duration: 3 years, 2017-2020)
    Dr Prasanna Kumar
    National Board for Higher Mathematics
    13.04

    Study on Dark Energy, Dark Matter and Cosmic Acceleration of the Universe in Modified Gravity (Duration: 3 years, 2017-2020)

    Dr.  Samanta G C/Prof. Prasanta Kumar Das

    Council of Scientific & Industrial Research, India

    16.96
    Bernstein type inequalities for the polar derivative of a polynomial (Duration: 3 years, 2017-2020)
    Prof.  Prasanna Kumar
    Council of Scientific & Industrial Research, India
    16.46
    A study of homotopy invariats of a model category (Duration: 3 years, 2017-2020) Dr. Shilpa S. Gondhali Science and Engineering Research Board (under MATRICS)
    06.60
    A Theoretical and Numerical Study of the Control Problems Involving Differential Equations with memory terms (Duration: 3 years, 2019-2022) Dr. Anil Kumar Science and Engineering Research Board (under MATRICS)
    06.60
    Magic and Antimagic Labelings of Graphs (Duration: 3 years, 2019-2022) Prof. Tarkeshwar Singh Science and Engineering Research Board
    20.00
    INSPIRE Research Grant (Duration: 5 years, 2019-2024) Dr. Abhishek Sarkar Department of Science and Technology
    35.00
    The effect of Environmental Fluctuations on the Evolution of Partial Migration Phenomenon Dr. Anushaya Mohapatra RIG, BITS 02.00

  • Completed Project

    Name of the project
    PI/Co-PIFunding Agency
    Outlay (In lakh Rs.)
    Hypergracefull Graph
    Dr. Tarkeshwar Singh
    Department of Science and Technology, Govt. of India (Fast Track Project)
    7.92 and 3.98 (Revised)
    Mathematical Modeling and Simulation of Crack in Smart Materials
    Dr. Amit Setia
    BITS Pilani under Research Initiation Grant, Mission Budget
     2
    Some Studies on Neighborhood Magic Graphs
     Dr. Tarkeshwar Singh/Dr. Anil KumarDepartment of Science and Technology, Govt. of India
    12.69
    Promoting Mathematical Sciences in GoaProf. Prasanna Kumar N./Dr. Amit Setia, Dr. Manoj K. PandeyElsevier Mathematical Science Sponsorship Fund (E-MSSF), Amsterdam, Netherlands$2000

Notice

Candidates interested in doing Ph.D. in Mathematics, may send their resume to HOD at hod.maths@goa.bits-pilani.ac.in.

News

  • Department organized an International Conference on Discrete Mathematics and its Applications to Network Science during July 7-10, 2018. For more details please click here.

  • Department received EMSSF-2017 (Elsevier Mathematical Sciences Sponsorship Fund-2017) fund support of Two Thousand Dollars ($2000) for activities to advance and promote mathematical sciences.

  • Department received DST-FIST project from the Department of Science and Technology (DST), Government of India to establish Scientific Computing Laboratory.

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