Research Activities

• Major Research Areas

   

  	Algebra and Algebraic Geometry	Algebraic Complexity Theory
  	Algebraic Topology	Arithmetic Algebraic Geometry
  	Coding Theory	Combinatorial Testing
  	Combinatorics	Commutative Algebra
  	Complex Analysis	Control Theory
  	Cryptography	Differential Equations
  	Discrete Mathematics	Dynamical Systems
  	Financial Mathematics	Fracture Mechanics
  	Functional Analysis	Graph Theory
  	Harmonic Analysis	Hyperbolic Conservation Laws
  	Lie Transformations and Applications	Linear Algebra
  	Mathematical Biology	Mathematical Modelling
  	Number Theory	Numerical Analysis
  	Numerical Linear Algebra	Operator Theory
  	Partial Differential Equations	Singular Integral Equations
  	Stochastic Control Theory	Tensor Analysis
  	Topology and Geometry	Wavelet Analysis

• Research Groups

  
  

  Algebra & Number Theory

  Commutative Algebra, Linear Algebra, Representation Theory, Algebraic Number Theory, Analytic Number Theory, Cryptography, Coding Theory

   

  Group Members:

  Gunja Sachdeva, Himadri Mukherjee, Jajati K. Sahoo, Prabal Paul, Saranya G. Nair

   

  Analysis & Topology
  

  Complex Analysis, Functional Analysis, Harmonic Analysis, Operator Theory, Algebraic Geometry

   

  Group Members:

  M. Thamban Nai, Monojit Bhattacharjee, Pradeep Boggarapu, Prasanna Kumar N., Shilpa Gondhali

   

  Combinatorics & Graph Theory
  

   Algorithm, Applied Combinatorics, Graph and Hypergraph Theory, Combinatorial Design

   

  Group Members:

  Tarkeshwar Singh, Yasmeen Akhtar, Himadri Mukherjee

   

  Differential Equation & Numerical Methods

  Hyperbolic Conservation Laws, Nonlinear Waves, Optimal Control Theory, Singular Integral Equations, Numerical Methods for Differential and Integral Equations, Numerical Analysis, Numerical Linear Algebra

   

  Group Members:

  Amit Setia, Anil Kumar, Amiya K. Pani, Danumjaya P., Manoj K. Pandey, Minhajul, Jajati K. Sahoo

   

  Financial Mathematics & Statistics

  Stochastic Modelling, Stochastic Control Theory, Portfolio Optimization Problems, Statistical Inference, Probability Theory, Stochastic Processes

   

  Group Members:

  Mayank Goel, Debolina Ghatak

   

  Mathematical Biology

  Modelling & Simulations, Dynamical systems, Stochastic Process, Evolutionary Games

   

  Group Members:

  Anupama Sharma, Anushaya Mohapatra, Danumjaya P.

   

• 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.
  	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

• Ongoing Projects

  
  

  Name of the project	PI/Co-PI	Funding Agency	Outlay (In lakh Rs.)
  Algebraic and Computational Methods for Construction of Mixed-level Screening Designs (Duration: 2 years, 2021-2023)	Dr. Yasmeen Shameem Akhtar	Research Initiation Grant, BITS	02.00
  Modelling of Recurrent Infectious Diseases: Understanding the Sustained and Non-periodic Epidemic Patterns (Duration: 3 years, 2020-2023)	Dr. Anupama Sharma	DST - Science and Engineering Research Board (SERB)	06.60
  Inspire Faculty Fellowship (Duration: 5 years, 2021-2026)	Dr. Monojit Bhattacharjee	DST (SERB)	35.00
  Existence of solution in large for $2\times 2$ strictly hyperbolic system of conservation laws. (Duration: 1 year, 2022-2023)	Dr. Minhajul	Research Initiation Grant, BITS	01.00
  Irreducibility of GLP and related Diophantine problems (Duration: 3 years, 2022-2025)	Dr. Saranya G. Nair	DST - Science and Engineering Research Board (SERB)	06.60
  Tracking the import of SARS CoV2 and its variants by surveillance of Airport wastewater (Duration: 1 year, 2022-2023)	PI: Srikanth Mutnuri and Co-PI: Dr. Danumjaya Palla, Dr. Tusar Tirtha Saha, and Dr. Anasuya Ganguly, BITS Pilani K K Birla Goa Campus	Science and Engineering Research Board (SERB)	42.51
  Impact of Population Heterogeneity and Complex Socio-Ecological Environments on the Transmission Dynamics of Dengue in the Indian Urban Scenario: Insights from Mathematical Modelling, Data-Model Based Systems Analysis, and Control of Complex Systems. (Duration: 2 years, 2023-2025)	PI: Dr. Amit Setia, Prof. Edwin Michael and Co-PI: Dr. Prashant Kumar Srivastava, Dr. Sanghamitra Pati, Prof. Changyun Wen, Prof. Patricia Jia Yiing Wong, Dr. Anuj Mubayi.	Scheme for Promotion of Academic and Research Collaboration (SPARC)	44.25

• Completed Projects

  Name of the project	PI/Co-PI	Funding Agency	Outlay (In lakh Rs.)
  Hypergracefull Graph	Dr. Tarkeshwar Singh	Department of Science and Technology, Govt. of India (Fast Track Project)	07.92 & 03.98 (Revised)
  Mathematical Modeling and Simulation of Crack in Smart Materials (Duration: 2 years, 2011- 2013)	Dr. Amit Setia	BITS Pilani under Research Initiation Grant, Mission Budget	02.00
  Some Studies on Neighborhood Magic Graphs	Dr. Tarkeshwar Singh/Dr. Anil Kumar	Department of Science and Technology, Govt. of India	12.69
  Promoting Mathematical Sciences in Goa	Prof. Prasanna Kumar N./Dr. Amit Setia, Dr. Manoj K. Pandey	Elsevier Mathematical Science Sponsorship Fund (E-MSSF), Amsterdam, Netherlands	$2000
  A Study on the Inequalities Involving Complex Polynomials (Duration: 3 years, 2017-March 2020)	Prof. Prasanna Kumar N.	National Board for Higher Mathematics	13.04
  Bernstein type inequalities for the polar derivative of a polynomial (Duration: 3 years, 2017-March 2020)	Prof. Prasanna Kumar N.	Council of Scientific & Industrial Research, India	16.46
  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-April 2020)	PI: Prof. P. Dhanumjaya and Co-PI: 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- April 2020)	Prof. P. Dhanumjaya	National Board for Higher Mathematics	13.48
  Study on Dark Energy, Dark Matter and Cosmic Acceleration of the Universe in Modified Gravity (Duration: 3 years, 2017- May 2020)	PI: Dr. Samanta G. C. and Co-PI: Prof. Prasanta Kumar Das	Council of Scientific & Industrial Research, India	16.96
  A study of homotopy invariats of a model category (Duration: 3 years, 2018-2021)	Dr. Shilpa S. Gondhali	Science and Engineering Research Board (under MATRICS)	06.60
  The effect of Environmental Fluctuations on the Evolution of Partial Migration Phenomenon (Duration: 2 years, 2019-2021)	Dr. Anushaya Mohapatra	Research Initiation Grant, BITS	02.00
  Partial Migration Phenomenon: A game theoretic approach to causes and environmental effects (Duration: 2 years, Dec 2019- Dec 2021)	Dr. Anushaya Mohapatra	Science and Engineering Research Board (under Start-up Research Grant)	12.05
  Modelling and Forecasting the Effects of Long Term Interventions on COVID-19 using Network- based Approach, (Duration: 1 year, 2020)	Dr. Anupama Sharma	DST - Science and Engineering Research Board (SERB)	05.50
  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
  Modeling the Multi-scale Dynamics of Recurrent Infectious Diseases (Duration: 2 years, 2020-2022)	Dr. Anupama Sharma	Research Initiation Grant, BITS	02.00
  Numerical Approximation of Optimal Control Problems Using Virtual Element Method (Duration: 3 years, 2020-2023)	PI: Dr. Anil Kumar and Co-PI: Prof. Sarvesh Kumar, IIST, Thiruvananthapuram	Science and Engineering Research Board (Under Core Research Grant)	19.07