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 |
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)
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 |

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