• Geometric group theory: Constructing, studying and classifying (isometric) group actions on hyperbolic spaces, actions on products of hyperbolic
        spaces, quasi-parabolic actions, acylindrical actions and acylindrically hyperbolic groups.
  • Model theory: First order theory of countable graphs, first order rigidity.
  • Applications of mathematics to economic theory: Ground water conservation, Impact assessment.



  • S.Balasubramanya, T.Fernos; The semi-simple theory of higher rank acylindricity; In preparation.
  • S.Balasubramanya, T. Fernos; AU-acylindrical actions and their quasi-isometrically embedded subgroups; In preparation.
  • S.Balasubramanya, F. Fournier-Facio, M. Zaremsky; Hyperbolic actions of Thompsons group F; In preparation.
  • S.Balasubramanya, M.Chesser, A. Kerr, J. Mangahas, M.Trin; A note on non-recognizing spaces for stable subgroups; arXiv:2311.15187
        (2023, 11 pgs, Submitted).
  • S.H.Balasubramanya; A survey on classifying group actions on hyperbolic spaces; Provisionally accepted inTopology at infinity of
        discrete groups, AMS series Contemporary Mathematics, 2024, 22 pgs.
  • S.Balasubramanya, F. Fournier-Facio, A.Genevois; Property (NL) for hyperbolic group actions, with Appendix by A.Sisto; arXiv:2212.14292;
        To appear in Groups,Geometry & Dynamics, 2023, 44 pgs.
  • C.Abbott, S. Balasubramanya, A.J.Rasmussen; Valuations, completions and hyperbolic actions of metabelian groups, with Appendix A co-authored
        with S.Payne; arXiv:2207.12945; To appear in Journal of the London Mathematical Society, 2024, 67 pgs
  • C.Abbott, S. Balasubramanya, A.J.Rasmussen; Higher rank confining subsets and actions of solvable groups,arXiv:2108.08175; To, appear,
        Advances in Mathematics, 2023, 34 pages
  • S. H Balasubramanya; Finite extensions of H−and AH−accessible groups,Topology Proceedings Volume 56(2020), pg 297-304. (8 pgs)
  • S. H Balasubramanya; Hyperbolic structures on wreath products,Journal of Group Theory(2019), ISSN(Print) 357 - 383 . ( 27 pgs)
  • C. Abbott, S. Balasubramanya, D. Osin; Hyperbolic structures on groups,Algebraic & Geometric Topology19-4 (2019), pg 1747-1835. ( 89 pgs)
  • S. H Balasubramanya; Acylindrical group actions on quasi-trees,Algebraic & Geometric Topology17 (2017)pg 2145 – 2176 (32 pgs)


  • S. Balasubramanya, S. Balasubramanya, A.Mitra; Positive incentives for ground water, In preparation.
  • Balasubramanya, S., Balasubramanya, S., Brozovic, N., Buisson, M., Chandra, A., Durga, N., Kafle, K., Kishore, A., Minh, T., Mitra, A., Mukherji, M., Ringler, C., Schmitter, P., Varshney, D., Verma, S., Yashodha, Y.; Solar irrigation in South Asia and Sub-Saharan Africa: opportunities, challenges, risk and knowledge gaps; Background paper for The World Bank Flagship Report on Groundwater; Accepted into Science, 2023
  • (Assisted with) S. Balasubramanya, J. Price, T. Horbulyk; Impact assessments without true baselines: assessing the relative effects of training on the performance of water user associations in Southern Tajikistan.Water Economics and Policy (2017), 4(3), pp. 1850007.

    RESEARCH WITH UNDERGRADUATES (*denotes an undergraduate coauthor)

  • S.Balasubramanya, G. Burkhalter*, R.Niebler*, R. Shapiro; Property (NL) in Coexter groups; In preparation.
    All contents © copyright 2023-24, Sahana Balasubramanya Profile New Delhi India. All rights reserved. Website Designed and Developed by