Papers
R. Ali, A.Gupta, M. Francis and K. Kataoka. “Comparative Evaluation of Threshold-based Anonymous Credential Systems over Blockchain”, In 7th IEEE International Conference on Decentralized Applications and Infrastructures (DAPPS) 2025.
V.Vijayan, M. Francis, and K. Kataoka. “Off-Chaining Approaches for Cost-Efficiency in Threshold-Based Elliptic Curve Systems over Blockchains”, In 10th International Conference on Information Systems Security and Privacy (ICISSP) 2024.
K. Bisht, N.Y. Kansagra, R. Ali, M.S. Sayeed, M. Francis, and K. Kataoka . “Revocable TACO: Revocable Threshold based Anonymous Credentials over Blockchains”, In 19th ACM ASIA Conference on Computer and Communications Security (Asia CCS), 2024.
A. Naaz, T. V. Pavan Kumar B, M. Francis, and K. Kataoka, "Integrating Threshold Opening With Threshold Issuance of Anonymous Credentials Over Blockchains for a Multi-Certifier Communication Model," in IEEE Access, vol. 10, pp. 128697-128720, 2022, doi: 10.1109/ACCESS.2022.3225439.
M. Francis and T. Verron. “On Two Signature Variants Of Buchberger’s Algorithm Over Principal Ideal Domains”, International Symposium on Symbolic and Algebraic Computation (ISSAC) 2021. arXiv preprint: arXiv:2102.03339.
M. Francis and T. Verron. “A Signature-based Algorithm for Computing Gröbner Bases over Principal Ideal Domains”, Mathematics in Computer Science (2020). arXiv preprint: arXiv:1802.01388.
M. Francis and A. Dukkipati. “On Ideal Lattices, Gröbner Bases and Generalized Hash Functions ”, Journal of Algebra and its Applications, Vol. 17, No. 06, 1850112 (2018).
M. Francis and A. Dukkipati. “On Computing Krull Dimension of Residue Class Polynomial Rings over Integral Domains using Gröbner Bases”, Journal Of Symbolic Computation, 86:1-19, 2018.
M. Francis and A. Dukkipati. “ On Reduced Gröbner Basis and Macaulay-Buchberger Basis Theorem Over Noetherian Rings ”, Journal Of Symbolic Computation, 65:1-14, 2014.
Patents
System for generating an anonymous credential over a blockchain and method for opening a credential thereof, Indian patent No: 552038 (with Dr. Kotaro Kataoka, Adeeba Naaz, B.T.V. Pavan Kumar). Date of granting: 08/10/2024
Acknowledgments
My research has been supported by the MoE (STARS grant), Institut Henri Poincaré (Mottez Fellowship), and awards from the industry (IDEMIA and I'm Beside You). I am also grateful to Institut Henri Poincaré for hosting me for long-term research visits.