Publication

Published/Accepted papers

• 1. Toric orbifolds associated with partitioned weight polytopes in classical types, (with T. Horiguchi, M. Masuda, J. Shareshian)

  To appear in Selecta Math. (N.S.), available at: arXiv:2105.05453 [math.AG]

• 2. **Double cohomology of moment-angle complexes, (with I. Limonchenko, T. Panov and D. Stanley)

Adv. Math. 432 (2023) 109274.

• 3. Toric surfaces with symmetries by reflections, 

Proc. Steklov Inst. Math., (2022) 318, 161--174.

• 4. The homotopy classification of four-dimensional toric orbifolds, (with X. Fu and T. So)

Proc. Roy. Soc. Edinburgh Sect. A., (2022) 152(3), 626--648.

• 5. Conic decomposition of a toric variety and its application to cohomology, (with S. Park)

Proc. Amer. Math. Soc. 2022, 150(7), 2777-2792.

• 6. The equivariant cohomology of torus orbifolds, (with A. Darby and S. Kuroki)

Canad. J. Math., 2022, 74(2), 299-328

• 7. Equivariant cohomological rigidity of certain T-manifolds, (with S. Sarkar)

Algebr. Geom. Topol. 21 (2021), no. 7 3601-3622.

• 8. Poincare polynomials of generic torus orbit closures in Schubert varieties, (with E. Lee, M. Masuda and S. Park)

Contemporary Mathematics: Topology, Geometry, and Dynamics, vol. 772 (2021), 189-208.

• 9. On integral cohomology of certain orbifolds, (with A. Bahri, D. Notbohm and S. Sarkar)

Int. Math. Res. Not. IMRN 2021, no. 6, 4140–4168

• 10. GKM theory for orbifold stratified spaces and application to singular toric varieties, (with S. Sarkar)

Topology Appl. 288 (2021), 107472.

• 11. Flag Bott manifolds and the toric closure of a generic orbit associated to a generalized Bott manifold, 

(with S. Kuroki, E. Lee and D. Y. Suh)

Pacific J. Math. 308 (2020), no. 2, 347-392. 

• 12. Infinite families of equivariantly formal toric orbifolds, (with A. Bahri and S. Sarkar)

Forum Math.,  31 (2019), no. 2, 283–301. 

• 13. Torus orbifolds with two fixed points, (with A. Darby and S. Kuroki)

Algebraic Topology and related topics, Trends in Math., Birkhauser/Springer, (2019), 67-86.

• 14. On the integral cohomology ring of toric orbifolds and singular toric varieties,  (with A. Bahri and S. Sarkar)  

Algebr. Geom. Topol., 17 (2017), no. 6, 3779–3810.

Submitted for publication

• 1. Homotopy rigidity for quasitoric manifolds over a product of  d-simplices

(with X. Fu, T. So and S. Theriault)

available at: arXiv:2405.00932 [math.AT]

• 2. **A stability theorem for bigraded persistence barcodes,  

    (with A. Bahri,  I. Limonchenko, T. Panov and D. Stanley.)

    available at: arXiv:2303.14694 [math.AT]

• 3. The integral cohomology ring of 4-dimensional toric orbifolds,

(with T. So and X. Fu)

available at: arXiv:2304.03936 [math.AT]

• 4. The representation of S_n on the cohomology of the permutohedral variety and gamma vectors of partitioned permutohedra, 

(with T. Horiguchi, M. Masuda, T. Sato and J. Shareshian)

available at arXiv:2405.09242 [math.CO]

Preprints

• 1. Equivariant K-theory of T^{(n,k)}-manifolds, with S. Sarkar.

  2. Cohomology bases of toric surfaces, with X. Fu and T. So. 

** : TDA related.