Shamil Asgarli

Papers and preprints

1. A New Proof of Warning's Second Theorem, Amer. Math. Monthly 125 (2018), no. 6, 549–553.
2. Sharp Bertini theorem for plane curves over finite fields, Canad. Math. Bull. 62 (2019), no. 2, 223–230.
3. The Picard group of the moduli of smooth complete intersections of two quadrics (with Giovanni Inchiostro), Trans. Amer. Math. Soc. 372 (2019), no. 5, 3319–3346.
4. Transverse lines to surfaces over finite fields (with Lian Duan and Kuan-Wen Lai), Manuscripta Math. 165 (2021), nos. 1–2, 135–157; Erratum.
5. On the proportion of transverse-free plane curves (with Brian Freidin), Finite Fields Appl. 72 (2021), Paper No. 101833.
6. A Bertini type theorem for pencils over finite fields (with Dragos Ghioca), Finite Fields Appl. 77 (2022), Paper No. 101936.
7. Bijective Cremona transformations of the plane (with Kuan-Wen Lai, Masahiro Nakahara, and Susanna Zimmermann), Selecta Math. (N.S.) 28 (2022), Paper No. 53.
8. Van Lint–MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields (with Chi Hoi Yip), J. Combin. Theory Ser. A 192 (2022), Paper No. 105667.
9. The EKR-module property of pseudo-Paley graphs of square order (with Sergey Goryainov, Huiqiu Lin, and Chi Hoi Yip), Electron. J. Combin. 29 (2022), no. 4, Paper No. P4.33, 19 pp.
10. Smoothness in pencils of hypersurfaces over finite fields (with Dragos Ghioca), Bull. Aust. Math. Soc. 107 (2023), no. 1, 85–94.
11. Linear families of smooth hypersurfaces over finitely generated fields (with Dragos Ghioca and Zinovy Reichstein), Finite Fields Appl. 87 (2023), Paper No. 102169.
12. Plane curves giving rise to blocking sets over finite fields (with Dragos Ghioca and Chi Hoi Yip), Des. Codes Cryptogr. 91 (2023), no. 11, 3643–3669.
13. Existence of pencils with nonblocking hypersurfaces (with Dragos Ghioca and Chi Hoi Yip), Finite Fields Appl. 92 (2023), Paper No. 102283.
14. Transverse linear subspaces to hypersurfaces over finite fields (with Lian Duan and Kuan-Wen Lai), Finite Fields Appl. 95 (2024), Paper No. 102396.
15. Tangent-filling plane curves over finite fields (with Dragos Ghioca), Bull. Aust. Math. Soc. 109 (2024), no. 2, 301–315.
16. A Fair Shake: How close can the sum of n-sided dice be to a uniform distribution? (with Michael Hartglass, Daniel Ostrov, and Byron Walden), Amer. Math. Monthly 131 (2024), no. 7, 608–617.
17. Most plane curves over finite fields are not blocking (with Dragos Ghioca and Chi Hoi Yip), J. Combin. Theory Ser. A 204 (2024), Paper No. 105871.
18. The subspace structure of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes (with Chi Hoi Yip), Finite Fields Appl. 99 (2024), Paper No. 102492.
19. Plane-filling curves of small degree over finite fields (with Dragos Ghioca), accepted for publication in Rocky Mountain J. Math. on February 4, 2024.
20. Linear system of hypersurfaces passing through a Galois orbit (with Dragos Ghioca and Zinovy Reichstein), Res. Number Theory 10 (2024), Paper No. 84.
21. Frobenius nonclassical hypersurfaces (with Lian Duan and Kuan-Wen Lai), Math. Z. 309 (2025), Paper No. 18.
22. Chromatic quasisymmetric functions of the path graph (with Farid Aliniaeifard, Maria Esipova, Ethan Shelburne, Stephanie van Willigenburg, and Tamsen Whitehead McGinley), Ann. Comb., published online May 26, 2025.
23. Counting subgraphs of coloring graphs (with Sara Krehbiel, Howard Levinson, and Heather Russell), Graphs Combin. 41 (2025), Paper No. 82.
24. Linear systems of geometrically irreducible plane cubics over finite fields (with Dragos Ghioca), Bull. Aust. Math. Soc. 112 (2025), no. 2, 303–311.
25. Mutual position of two smooth quadrics over finite fields (with Chi Hoi Yip), Des. Codes Cryptogr. 93 (2025), 4461–4472.
26. Proportion of blocking curves in a pencil (with Dragos Ghioca and Chi Hoi Yip), Discrete Math. 349 (2026), no. 1, Paper No. 114668.
27. Collision of orbits for families of polynomials defined over fields of positive characteristic (with Dragos Ghioca), Math. Z. 313 (2026), no. 2, Paper No. 29, 39 pp.
28. Improved lower bounds for the maximum order of an induced acyclic subgraph (with Donald Falkenhagen and Kaya Hoshi), Discuss. Math. Graph Theory, available online June 3, 2026.
29. An Erdős–Ko–Rado theorem for binary codes (with Chi Hoi Yip), Bull. Aust. Math. Soc., First View, published online June 16, 2026.
30. Coloring graphs as complete graph invariants (with Sara Krehbiel and Howard Levinson), Discrete Math. 349 (2026), no. 11, Article 115245.
31. Hypersurfaces passing through the Galois orbit of a point (with Jonathan Love and Chi Hoi Yip), submitted for publication.
32. Blocking sets from a union of plane curves (with Dragos Ghioca and Chi Hoi Yip), submitted for publication.
33. Extremal diameters of 3-coloring graphs of trees (with Sara Krehbiel, Simon MacLean, and Gjergji Zaimi), submitted for publication.
34. Bell coloring graphs: realizability and reconstruction (with Sara Krehbiel and Simon MacLean), submitted for publication.
35. Defective chromatic polynomials (with Tamsen Whitehead McGinley and Nicholas Xue), submitted for publication.

Teaching at Santa Clara University

Teaching at UBC (past)

Here are some of the classes I taught at the University of British Columbia (as a postdoctoral fellow):

Teaching at Brown (past)

Here are some of the classes I TA-ed or taught at Brown (as a graduate student):