Geometric Group Theory
Arka Banerjee, Daniel Gulbrandsen, Pratyush Mishra, Prayagdeep Parija (2025). On the girth of groups acting on CAT(0) cube complexes (Accepted in Algebraic & Geometric Topology) [ArXiv] .
Pratyush Mishra (2024). Dynamics of primitive elements under group actions (Submitted to International Journal of Algebra and Computation). [ArXiv]
Azer Akhmedov, Pratyush Mishra (2023). Girth Alternative for HNN extensions (Submitted to Geometriae Dedicata). [ArXiv]
Tattwamasi Amrutam, Paul-Henry Leemann, Pratyush Mishra. Co-girth for IRS (in preparation).
Cluster Algebra
5. Tolulope Oke, Pratyush Mishra (2025). Comultiplicative map on projective resolution for a family of algebras one of which is cluster-titled of type D_4 (Submitted to Journal of Algebra and its Applications). [ArXiv]
Geometric Applications in Computer Science (Fast Matrix Multiplication)
6. Grey Ballard, Pratyush Mishra, Frank Moore, J De Oliveira Pinheiro. The geometry of rank decomposition of matrix multiplication III: 4x4 case (in preparation).