Papers and Preprints

Preprints

• Negative curves on blowups of weighted projective planes (With S. Zhou)

Papers 

1. Terminal Fano 4-folds and anticanonical linear sections, Journal of Symbolic Computation, Published in online first. (Data website)

2. Derivation Lie algebras of singular locus moduli algebras for singularities (with N. Hussain, H. Zuo), Journal of Mathematical Physics, 67, 031701 (2026).

3. Canonical 3-folds in P2 x P2 format and numerical K3 Transitions, Siberian Electronic Mathematical Reports, 22, 2, pp. 1673-1686 (2025) 

4. Computing canonical Calabi-Yau 3-folds, ACM Communications in Computer Algebra, To appear.

5. Construction of a novel S-box based on a compound Hénon-Baker map (with N. Hussain, M. S. Khan), Arabian Journal of Science and Engineering, Published in online first.

6. Terminal Fano 4-folds in low codimension, Proceedings of ISSAC25, 302-308.

7. On the classification of smooth Fano weighted complete intersections, Acta Universitatis Sapientiae, Mathematica, 17, 20 (2025).

8. Classification of COVID-19 via Homology of CT-SCAN, (With S. Iqbal,  H. F. Ahmed, T. Qaiser, N. Rajput). Computers in Biology and Medicine, 193 (July 2025), 11026.

9. Projection cascades of models of log del Pezzo surfaces, Rendiconti del circolo matematico di palermo series 2, 74 (2025), 41.

10. Orbifold del Pezzo surfaces in P1 x P1 x P1 format,  Computer output Experimental Mathematics, (2024)1–11. 

11. Constructions and deformations of Calabi-Yau 3-folds in codimension 4, (with S. Mohsin, S. Nazir), Journal of Algebra, Volume 657 , Issue 22, November 2024, Pages 773–803 . 

12. Smooth Fano intrinsic Grassmannians of type (2,n) with Picard number two. (With M. Wrobel) International Mathematics Research Notices,  Volume 2022, Issue 22, November 2022, Pages 17999–18034 .  

13. Smooth Fano 4-folds in Gorenstein formats, Bulletin of Australian Mathematical Society, 2021, 104(3), 424-433. 

14. Biregular models of log Del Pezzo surfaces with rigid singularities.  Mathematics of Computation, 88 (2019), 2497–2521. 

15. The equivariant cohomology of weighted flag orbifolds. (With H. Azam, S. Nazir) Mathematiche  Zeitschrift, 294 (2020), 881-900. 

16. Fano 3-folds in P2 × P2 format, Tom and Jerry. (With  G. Brown,  A. M. Kasprzyk),  European Journal of Mathematics, 4 (2018), 51–72. 

17. Polarized 3-folds in a codimension 10 weighted homogeneous F4 variety.  Journal of Geometry and Physics, 120 (2017), 52–61. 

18. Computing isolated orbifolds in weighted flag varieties. Journal of Symbolic Computation, 79 Part 2 (2017), 457–474.

19. Constructing projective varieties in weighted flag varieties II.  Math. Proc. Camb. Phil. Soc, 158 (2015), 193–209. 

20. Calabi-Yau threefolds in weighted flag varieties. ( With B. Szendroi) Adv. High Energy Physics, (2012) 547317, 14pp. 

21. Constructing projective varieties in weight flag varieties. ( With  B. Szendroi)  Bulletin of the London Mathematical Society, 43 (2011) 786–798.