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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 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. arxiv.org/abs/2310.09455
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.
https://arxiv.org/abs/1908.04894 (8 pgs)
S. H Balasubramanya; Hyperbolic structures on
wreath products,Journal of Group Theory(2019), ISSN(Print) 357 -
383
.
arxiv.org/abs/1809.00776
( 27 pgs)
C. Abbott, S. Balasubramanya, D. Osin; Hyperbolic
structures on groups,Algebraic & Geometric Topology19-4 (2019),
pg 1747-1835.
arxiv.org/abs/1710.05197
( 89 pgs)
S. H Balasubramanya; Acylindrical group actions
on quasi-trees,Algebraic & Geometric Topology17 (2017)pg 2145
– 2176
arxiv.org/abs/1602.03941
(32 pgs)
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; In preparation.
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