My research interest is in complexity, particularly in understanding the emergence of structures as a result of interactions between the constituent units of complex systems at different levels and scales of organisation of the system. Through my investigations, i try to gain insight into the structural aspects of these systems by means of formal modelling of the interactions and representing them as complex networks, primarily using graph theory and algebraic topology as frameworks for modelling.
Ecological applications of complex networks
Simplicial structures in complex networks
Applications of complex networks in modelling biological and social-ecological systems
Mathematical foundations of complex systems
Biological and social applications of classical and evolutionary game theory
PhD students (since 2014, degree awarded):
Shashankaditya Upadhyay (Presently Postdoctoral Fellow, IIT Delhi)
Rinku Sharma (joint supervision) (Presently Postdoctoral Fellow, Harvard University, USA)
Aniruddha Deka (joint supervision) (Presently Postdoctoral Fellow, Pennsylvania State University, USA)
Saurabh Shanu, Nupur Rautela, Arijit Roy, Sudeepto Bhattacharya. A graph Theoretic Approach for Modelling Tiger Corridor Networks in Terai Arc Landscape Complex, India. International Society for Ecological Modelling Global Conference, Salzburg, Austria, October 2019.
Saurabh Shanu, Nupur Rautela, Arijit Roy, Sudeepto Bhattacharya. A Graph Theoretic Approach for Modelling Tiger Corridor Network in Terai Arc Landscape. Second International Conference on Applications of Mathematics to Nonlinear Sciences, Tribhuvan University, Kathmandu, Nepal, June 2019.
Some ecological applications of complex networks. Invited talk delivered at Joint Five Days National Workshop on Advances in Mathematical Sciences and Applications, Organised by The Indian Mathematics Consortium-Dayalbagh Educational Institute, Agra, April 2019.
Some algebraic explorations in the structure of undirected graphs. Invited talk delivered at Joint Five Days National Workshop on Advances in Mathematical Sciences and Applications, Organised by The Indian Mathematics Consortium-Dayalbagh Educational Institute, Agra, April 2019.
Ranjini Bhattacharya, Rupa Mishra, Sudeepto Bhattacharya, Anindita Chakrabarty. Interpreting the secretome-mediated cross-talk between cells participating in therapy-induced senescence: An evolutionary game-theoretic perspective. International Conference on Multiscale Simulation & Mathematical Modelling of Complex Biological Systems, Jawaharlal Nehru University, New Delhi, January 2019.
S. Upadhyay, S. Bhattacharya. A comparative study of ecological networks using spectral projections of normalized graph Laplacian. International Conference on Applied and Computational Mathematics, Indian Institute of Technology, Kharagpur, November 2018.
S. Upadhyay, S. Bhattacharya. A spectral graph theoretic study of food web networks.International Conference on Recent Advances in Pure and Applied Mathematics, Delhi Technological University, New Delhi, October 2018.
S. Upadhyay, A. Roy, M. Ramprakash, J. Idiculla, A. S. Kumar, S. Bhattacharya. A structural perspective on ecological connectivity in Western Himalayas. SIAM Conference on Mathematics of Planet Earth 2018, Philadelphia, USA, September 2018.
Saurabh Shanu, Sudeepto Bhattacharya, Ajay Prasad. Self-Organized Bacterial Evolutionary Dynamics: Fractal Characteristics. International Conference, Intelligent Communication, Control, Devices ICICCD 2017, Dehradun, December 2017.
Shashankaditya Upadhayay, Prasad A. Pathak, Girish Agrawal, Sudeepto Bhattacharya. A network-theoretic modelling of spatial distribution of Lantana camara in Rajaji Tiger Reserve, India. The International Society for Ecological Modelling Global Conference, Jeju, Korea, September 2017.
Network-theoretic methods in gene sequencing. Invited talk delivered at One-day Workshop in Next Generation Sequencing, ICGEB, New Delhi, April 2015.
Prabhu, G., Bhattacharya, S., Krein, M., Sukumar, N. Network measures in polymer space. 1st National Conference on Mapping the “Materials Genome”, Shiv Nadar University, March 2013.
Shanu, S., Kapur, M., Qureshi, Q., Jhala, Y., Bhattacharya, S. A graph theoretic approach for modelling tiger corridor network in Western Ghats-Eastern Ghats landscape complex, India. 3rd International Conference on Computational Sustainability (CompSust’12), Copenhagen, Denmark, July 2012.