1. Koushik Brahma, Soumen Sarkar and Subhankar Sau: Polytopal $k$-wedge construction and its application on quasitoric orbifolds.
   Topology and its Applications, (accepted for publication).
2. Koushik Brahma, Soumen Sarkar and Subhankar Sau: Resolution of singularities of toric orbifolds and equivariant cobordism of contact toric manifolds.
   Chinese Annals of Mathematics, Series B (accepted for publication).
3. Joji Benny, Supriyo Jana and Soumen Sarkar: Invariant circles and phase portraits of cubic vector fields on the sphere.
   Qualitative Theory of Dynamical Systems, 23 (2024), no. 3, Paper No. 121, 23 pp.
4. Soumen Sarkar and Subhankar Sau: On cohomology of quasitoric manifolds over a vertex cut of a finite product of simplices.
   Moscow Mathematical Journal, (accepted for publication).
5. Koushik Brahma, Bikramaditya Naskar, Soumen Sarkar and Subhankar Sau: Various topological complexities of small covers and real Bott manifolds.
   Proceedings of the Royal Society of Edinburgh Section A, (accepted for publication).
6. Navnath Daundkar and Soumen Sarkar: LS-category and topological complexity of several families of fibre bundles.
   Homology, Homotopy and Applications, (accepted for publication).
7. Joji Benny and Soumen Sarkar: Invariant hyperplane sections of vector fields on the product of spheres.
   Journal of Dynamical and Control Systems, 30 (2024), no. 1, Paper No. 2, 18 pp.
8. Koushik Brahma and Soumen Sarkar: Integral generalized equivariant cohomologies of weighted Grassmann orbifolds.
   Algebraic and Geometric Topology, (accepted for publication).
9. Yuli Rudyak and Soumen Sarkar: Maps of degree one, LS category and higher topological complexities.
   Topological Methods in Nonlinear Analysis, 61 (2023), no. 1, 7-20.
10. Yuli Rudyak and Soumen Sarkar: Relative LS categories and higher topological complexities of maps.
    Topology and its Applications, 322 (2022), Paper No. 108317, 16 pp.
11. Soumen Sarkar and Peter Zvengrowski: On generalized projective product spaces and Dold manifolds.
    Homology, Homotopy and Applications, Volume 24 (2022), no. 2, 265-290.
12. Soumen Sarkar and Dong Youp Suh: Equivariant cobordism of torus orbifolds.
    Chinese Annals of Mathematics, Series B, 42 (2021), no. 6, 861-890.
13. Koushik Brahma, Soumen Sarkar and Subhankar Sau: Torsion in the cohomology of blowups of quasitoric orbifolds.
    Topology and its Applications, Volume 295, 15 May 2021.
14. Soumen Sarkar and V. Uma: Equivariant K-theory of toric orbifolds.
    Journal of the Mathematical Society of Japan, 73 (2021), no. 3, 735-752.
15. Soumen Sarkar and Jongbaek Song: Equivariant cohomological rigidity of certain $T$-manifolds.
    Algebraic and Geometric Topology, 21 (2021), no. 7, 3601-3622.
16. Soumen Sarkar and Jongbaek Song: GKM theory for orbifold stratified spaces and application to singular toric varieties.
    Topology and its Applications, Volume 288, 1 February 2021.
17. Bikramaditya Naskar and Soumen Sarkar: On LS-category and Topological Complexity of Some Fiber Bundles and Dold Manifolds.
    Topology and its Applications, Volume 284, October 2020.
18. Marzieh Bayeh and Soumen Sarkar: Higher equivariant and invariant topological complexity.
    Journal of Homotopy and Related Structures, 15 (2020), no. 3-4, 397-416.
19. Soumen Sarkar and Donald Stanley: Cohomology rings of a class of torus manifolds.
    Transactions of the Moscow Mathematical Society, 81 (2020), 71-86.
20. Soumen Sarkar: Equivariant K-theory of divisive torus orbifolds.
    Rocky Mountain J. Math. 50 (2020), no. 1, 255-266.
21. Anthony Bahri, Dietrich Notbohm, Soumen Sarkar and Jongbaek Song: On integral cohomology of certain orbifolds.
    International Mathematics Research Notices (IMRN) 2021, no. 6, 4140-4168.
22. Anthony Bahri, Soumen Sarkar and Jongbaek Song: Infinite Families of Equivariantly Formal Toric Orbifolds.
    Forum Mathematicum 31 (2019), no. 2, 283-301.
23. Basudeb Datta and Soumen Sarkar: Equilibrium triangulations of some quasitoric 4-manifolds.
    Southeast Asian Bulletin of Mathematics, Vol.44(1) (2020) page: 57-78.
24. Marzieh Bayeh and Soumen Sarkar: Orbit Class and its Applications.
    Fundamenta Mathematicae 245 (2019), no. 1, 55-77.
25. Soumen Sarkar and Dong Youp Suh: A new construction of lens spaces.
    Topology and its Applications 240 (2018), 1-20.
26. Soumen Sarkar: Oriented cobordism of $CP^{2k+1}$.
    J. Adv. Stud. Topol. 8 (2017), no. 2, 135-143.
27. Anthony Bahri, Soumen Sarkar and Jongbaek Song: On the integral cohomology ring of toric orbifolds and singular toric varieties.
    Algebraic and Geometric Topology 17 (2017), no. 6, 3779-3810.
28. Michael Pors, Soumen Sarkar and Peter Zvengrowski: Remarks About Delta-Complexes and Applications.
    Homology, Homotopy and Applications 19 (2017) no. 1, 89-110.
29. Marzieh Bayeh and Soumen Sarkar: Some aspects of equivariant LS-category.
    Topology and its Applications 196 (2015), part A, 133-154.
30. Soumen Sarkar: Complex cobordism of quasitoric orbifolds.
    Topology and its Applications 194 (2015), 386-399.
31. Biplab Basak and Soumen Sarkar: Equivariant and equilibrium triangulations of some small covers with minimum number of vertices.
    J. Ramanujan Math. Soc. 30 (2015), no. 1, 29-50.
32. Mainak Poddar and Soumen Sarkar: A class of torus manifolds with nonconvex orbit space.
    Proc. Amer. Math. Soc. 143 (2015), no. 4, 1797-1811.
33. Soumen Sarkar: $T^2$-cobordism of quasitoric $4$-manifolds.
    Algebraic and Geometric Topology 12 (2012), no. 4, 2003-2025.
34. Soumen Sarkar: Some small orbifolds over polytopes.
    Tbilisi Math. Journal, Volume 4, Number 1 (2011), 1-27.
35. Mainak Poddar and Soumen Sarkar: On quasitoric orbifolds.
    Osaka Journal of Mathematics Volume 47, Number 4 (December 2010), 1055-1076.

Preprints

1. Koushik Brahma and Soumen Sarkar: Integral equivariant K-theory and cobordism ring of simplicial GKM orbifold complexes.
2. Supriyo Jana and Soumen Sarkar: Quadratic, Homogeneous and Kolmogorov vector fields on $S^1 \times S^2$ and $S^2 \times S^1$.
3. Koushik Brahma, Navnath Daundkar and Soumen Sarkar: LS-category and topological complexity of real torus manifolds and Dold manifolds of real torus type.
4. Supriyo Jana and Soumen Sarkar: Integrability and dynamics of polynomial vector fields on the n-sphere.
5. Moitrayee Majumder and Soumen Sarkar: An algorithmic approach to detect the complexity of neural networks.

Works in progress

1. Mainak Poddar and Soumen Sarkar: On a generalization of Bott manifolds.
2. Soumen Sarkar and Donald Stanley: On homotopy and cohomology of new class of even manifolds.
3. Soumen Sarkar and Jongbaek Song: Some aspects of $T^{n, k}$-manifolds.
4. Basudeb Datta and Soumen Sarkar: Some $\ZZ_3^n$-equivariant triangulations of $\CP^n$.
   Preliminary version is available on Math-ArXiv under the second author name.
5. Soumen Sarkar: Triangulations of $RP^n$ with few vertices.
   There was a mistake in the Math-ArXiv version. The author is working on it.

Some other works

1. Soumen Sarkar: On $Z_2^n$-equivariant triangulation of $RP^n$
2. Soumen Sarkar: Orientability and equivariant oriented cobordism of 2-torus manifolds.