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Department of Mathematics

Major Research Areas

Below are brief overviews of each research area. For more details, visit individual faculty pages.

 

 

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 La
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 Grants

2026
2025
  • New Frontiers in Magic and Antimagic Labelling of Graphs — PI: Prof. Tarkeshwar Singh (Dept. of Mathematics, BITS Goa); Co-PI: Prof. Siddharth Gupta (Dept. of CSIS, BITS Goa); Funding Agency: National Board for Higher Mathematics (NBHM)

  • Computation of Generalized Inverses of Tensors and Tensor Decomposition — PI: Prof. Jajati K. Sahoo (Dept. of Mathematics, BITS Goa); Funding Agency: National Board for Higher Mathematics (NBHM)

  • Gaussian Random-Field Models on Network-Like Domains — PI: Prof. Vaibhav Mehandiratta (Dept. of Mathematics, BITS Goa); Funding Agency: Anusandhan National Research Foundation (ANRF)

  • Analysis and Discretization of Nonlinear Fractional Partial Differential Equations and Associated Optimal Control Problems on Network-Like Domains — PI: Prof. Vaibhav Mehandiratta (Dept. of Mathematics, BITS Goa); Funding Agency: New Faculty Seed Grant (NFSG)

  • Gene Regulators for Drought Resistance Using Network Analysis and Its Experimental Validation — PIs: Prof. Tarkeshwar Singh & Prof. Rajesh Mehrotra; Funding Agency: Cross-Disciplinary Research Funding (CDRF)

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