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RESEARCH AREAS
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.
PUBLICATIONS
S.Balasubramanya, T. Fernos; The semisimple Theory of Acylindricity for CAT(0) Cube Complexes; In
preparation.
S.Balasubramanya, T. Fernos; AU-acylindrical actions and their quasi-isometrically embedded subgroups; In
preparation.
S.Balasubramanya, T.Fernos; The semisimple theory of higher rank acylindricity; arxiv.org/abs/2407.04838v2 (2024,
76 pages, Submitted).
S.Balasubramanya, F. Fournier-Facio, M. Zaremsky; Hyperbolic actions of Thompsons group F and
generalizations; arXiv.org/abs/2406.12982
(2024, 60 pages, Submitted).
S.Balasubramanya, M.Chesser, A. Kerr, J. Mangahas, M.Trin; A note on non-recognizing spaces for stable
subgroups; Accepted in
Proceedings of the AMS (2025)(11 pgs). arxiv.org/abs/2311.15187
S.H.Balasubramanya; A survey on classifying group actions on hyperbolic spaces; Topology at infinity of
discrete groups
(In honor of Prof. Mike Mihalik), AMS series Contemporary Mathematics, Vol. 812 (2025)
101-123(22 pgs). arxiv.org/abs/2310.09455
S.Balasubramanya, F. Fournier-Facio, A.Genevois; Property (NL) for hyperbolic group actions, with Appendix
by A.Sisto; arXiv.org/abs/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; Journal of the London Mathematical Society, Volume
109, Issue 6 e12916 (2024), pg 1 -72 (72 pgs). arxiv.org/abs/2207.12945
C.Abbott, S. Balasubramanya, A.J.Rasmussen; Higher rank confining subsets and actions of solvable groups;
Advances in Mathematics,
Volume 424 (2023), 109-145 (34 pgs). arxiv.org/abs/2108.08175
S. H Balasubramanya; Finite extensions of H- and AH-accessible groups; Topology Proceedings Volume 56
(2020),
pg 297-304 (8 pgs). arxiv.org/abs/1908.04894
S. H Balasubramanya; Hyperbolic structures on wreath products; Journal of Group Theory (2020), ISSN
(Print) pg 357-383 (27 pgs). arxiv.org/abs/1809.00776
C. Abbott, S. Balasubramanya, D. Osin; Hyperbolic structures on groups; Algebraic & Geometric Topology
19-4 (2019), pg 1747-1835
(89 pgs). arxiv.org/abs/1710.05197
S. H Balasubramanya; Acylindrical group actions on quasi-trees; Algebraic & Geometric Topology 17 (2017)
pg 2145-2176
(32 pgs). arxiv.org/abs/1602.03941
APPLIED MATH PAPERS (ECONOMIC
THEORY)
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; arxiv.org/abs/2404.15459, (2024, 11 pgs, Submitted).
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