Geometric Group Theory
PhD Thesis: Pratyush Mishra (2023), Dichotomies of Groups Arising from Ping-Pong Dynamics, North Dakota State University. [ProQuest]
Arka Banerjee, Daniel Gulbrandsen, Pratyush Mishra, Prayagdeep Parija. On the girth of groups acting on CAT(0) cube complexes. Algebraic & Geometric Topology 26-7 (2026) 2539–2558. [Link]
Azer Akhmedov, Pratyush Mishra. Girth Alternative for HNN extensions. Geom Dedicata 220, 43 (2026). [Link]
Pratyush Mishra (2024). Dynamics of primitive elements under group actions (accepted in International Journal of Algebra and Computation). [ArXiv]
Tattwamasi Amrutam, Arka Banerjee, Daniel Gulbrandsen, Pratyush Mishra (2026). Boundary Dynamics, Cubical Actions, and Infinite Girth [ArXiv].
Tattwamasi Amrutam, Paul-Henry Leemann, Pratyush Mishra. Co-girth for IRS (in preparation).
Cluster Algebra
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)
Grey Ballard, Pratyush Mishra, Frank Moore, J De Oliveira Pinheiro, The geometry of rank decomposition of Matrix Multiplication III: 4x4 case (in preparation, see the Master's thesis of J De Oliveira Pinheiro for partial results) [ProQuest]) .