Publication

Published/Accepted papers

• 1. Cohomology bases of toric surfaces (with X. Fu and T. So)

Topology Appl.  369 (2025), 109392

• 2. Homotopy rigidity for quasitoric manifolds over a product of  d-simplices (with X. Fu, T. So and S. Theriault)

Proc. Amer. Math. Soc., (2025) 153(3) 1335--1347.

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

  Selecta Math. (N.S.), 30, 84 (2024).

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

Adv. Math. 432 (2023) 109274.

• 5. Toric surfaces with symmetries by reflections, 

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

• 6. 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.

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

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

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

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

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

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

• 10. 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.

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

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

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

Topology Appl. 288 (2021), 107472.

• 13. 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. 

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

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

• 15. 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.

• 16. 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. A stability theorem for bigraded persistence barcodes, (with A. Bahri,  I. Limonchenko, T. Panov and D. Stanley), available at: arXiv:2303.14694 [math.AT]

  2. The integral cohomology ring of 4-dimensional toric orbifolds, (with T. So and X. Fu), available at: arXiv:2304.03936 [math.AT]

  3. Gamma vectors of partitioned permutohedra, (with T. Horiguchi, M. Masuda, T. Sato and J. Shareshian), available at arXiv:2405.09242 [math.CO]

  4. On T-manifolds of type (n,k), with S. Sarkar.