Publications and Preprints
These are also listed on the arXiv, MathSciNet and Google Scholar.
 Rokhlin Dimension and Inductive Limit actions on AFalgebras (with Sureshkumar M)
(under review)
https://arxiv.org/abs/2405.17380
We show that the crossed product of an AFalgebra by a single automorphism is an ATalgebra provided the action is approximately inner and has the Rokhlin property.  Rokhlin Dimension: Permanence Properties and Ideal Separation (with Sureshkumar M)
(to appear in Groups, Geometry and Dynamics)
https://arxiv.org/abs/2305.06675
We study Rokhlin dimension for actions of amenable, residually finite groups on C*algebras. We prove many permanence properties, and also describe ideals in the associated crossed product C*algebra.  Kstability of ATalgebras (with Apurva Seth)
(Journal of Mathematical Analysis and Applications Vol. 52, Issue 2 (2023))
https://doi.org/10.1016/j.jmaa.2022.126957
We compute the rational nonstable Kgroups of ATalgebras, and show that such an algebra is Kstable if and only if it has slow dimension growth. 
Rational Kstability of Continuous C(X)algebras (with Apurva Seth)
(Journal of the Australian Mathematical Society, 115 (1) (2023), p. 119144)
https://www.doi.org/10.1017/S144678872200009X
We show that a continuous field of rationally Kstable C*algebras is rationally Kstable, provided the underlying space is a compact metric space of finite covering dimension. We also give an application to certain crossed product C*algebras.

Rokhlin Dimension and Equivariant Bundles
(Journal of Operator Theory 87 (2) (2022), p. 487509 )
We study the Rokhlin dimension for natural actions of compact groups on the CuntzPimsner algebra associated to a vector bundle.

Homotopical Stable Ranks for certain C*algebras associated to groups (with Anshu)
(Studia Mathematica 261 (2021), p. 307328)
https://doi.org/10.4064/sm2006011711
We estimate the homotopical stable ranks for certain group C*algebras and crossed product C*algebras. Along the way, we do so for certain C(X)algebras as well.

AFalgebras and Rational Homotopy theory (with Apurva Seth)
(New York Journal of Mathematics 26 (2020), p. 931949)
We compute the rational homotopy groups of the group of quasiunitaries of an AFalgebra, from a given Bratteli diagram. We also show that an AFalgebra is Kstable if and only if it is rationally Kstable.

Kstability of Continuous C(X)algebras (with Apurva Seth)
(Proceedings of the AMS 148 (2020), p. 38973909)
https://doi.org/10.1090/proc/15035
We show that a continuous field of Kstable C*algebras is itself Kstable provided the underlying space is a compact metric space of finite covering dimension.

Homotopical Stable Ranks for Certain C*Algebras
(Studia Mathematica 247 (3) (2019), p. 299328)
https://doi.org/10.4064/sm18022265
We study the general and connected stable ranks for C*algebras, focussing on pullbacks and tensor products by commutative C*algebras.

Roots of Dehn twists about Multicurves (with Kashyap Rajeevsarathy)
(Glasgow Mathematical Journal 60 (3) (2018), p. 555583)
https://doi.org/10.1017/S0017089517000283
We investigate roots of multitwists in the mapping class group of a surface, and determine necessary and sufficient conditions for the existence of such roots from combinatorial data.

Etheory for C[0,1]algebras with finitely many singular points (with Marius Dadarlat)
(Journal of KTheory 13 (2) (2014), p. 249274)
https://doi.org/10.1017/is013012029jkt252
We investigate the equivariant Etheory of certain continuous fields of C*algebras, and show how it relates to the Ktheory sheaf.