All my preprints can be found in arxiv.

Collaborators (including work in progress): 

Shamil Asgarli, Andries E. Brouwer, Cruz Castillo, Xinbu Cheng, Michaela Cully-Hugill, Gabriel Currier, Xiang Gao, Dragos Ghioca, Ritesh Goenka, Sergey Goryainov,  Himanshu Gupta, Yifeng Huang, Seoyoung Kim,  Greg Knapp, Jie Li, Huiqiu Lin, Jonathan Love, Jewel Mahajan, Greg Martin, Kenneth Moore, Yuveshen Mooroogen, Nathan Ng, Pardis Semnani, Leonid Shalaginov, Jozsef Solymosi, Kin Ming Tsang, Li-Yuan Wang, Meiqin Wang, Ethan White,  Hai-Liang Wu, Zixiang Xu, Semin Yoo 

Preprints and Publications (chronological order):

[1] On the clique number of Paley graphs of prime power order.  Finite Fields Appl. 77 (2022), Paper No. 101930, 16 pp. MR4320979. arXiv, journal [CO,NT]

[2] On the number of distinct roots of a lacunary polynomial over finite fields (with Jozsef Solymosi and Ethan White).  Finite Fields Appl. 72 (2021), Paper No. 101820, 16 pp. MR4214976. arXiv,  journal [NT]

[3] On the directions determined by Cartesian products and the clique number of generalized Paley graphs. Integers 21 (2021), Paper No. A51, 31 pp. MR4256034. arxiv, journal [CO,NT]

[4] On maximal cliques of Cayley graphs over fields.  J. Algebraic Combin. 56 (2022), no. 2, 323-333. MR4467957. arxiv, journal [CO]

[5] Gauss sums and the maximum cliques in generalized Paley graphs of square order. Funct. Approx. Comment. Math. 66 (2022), no. 1, 119-138. MR4397683.  arxiv, journal [NT,CO]

[6] Van Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields (with Shamil Asgarli). J. Combin. Theory Ser. A 192 (2022), Paper No. 105667, 23pp. MR4457404. arxiv, journal  [CO,NT]

[7] Asymptotics for the number of directions determined by [n]*[n] in Fp^2 (with Greg Martin and Ethan White).  Mathematika 68 (2022), no. 2, 511-534. MR4418456.  arxiv, journal [NT]

[8] The subspace structure of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes (with Shamil Asgarli).  Submitted, arXiv [CO,NT]

[9] The EKR-module property of pseudo-Paley graphs of square order (with Shamil Asgarli, Sergey Goryainov, and Huiqiu Lin).  Electron. J. Combin. 29 (2022), no. 4, Paper No. 4.33, 19 pp.  MR4516936. arXiv, journal [CO]

[10] On eigenfunctions and maximal cliques of generalised Paley graphs of square order (with Sergey Goryainov and Leonid Shalaginov). Finite Fields Appl. 87 (2023), Paper No. 102150, 36 pp. MR4531528.  arxiv, journal [CO,NT]

[11] Intersective sets over abelian groups (with Zixiang Xu). Submitted, arxiv [CO,NT]

[12] Plane curves giving rise to blocking sets over finite fields (with Shamil Asgarli and Dragos Ghioca). Des. Codes Cryptogr. 91 (2023), no. 11, 3643–3669. MR4659423. arxiv, journal  [AG,NT,CO]

[13] Maximality of subfields as cliques in Cayley graphs over finite fields. Algebr. Comb. 6 (2023), no. 4, 901-905. MR4635081. arxiv, journal [CO,NT]

[14] Sperner systems with restricted differences (with Zixiang Xu).  Submitted, arxiv [CO,NT]

[15] Most plane curves over finite fields are not blocking (with Shamil Asgarli and Dragos Ghioca).  J. Combin. Theory Ser. A 204 (2024), Paper No. 105871, 26pp.  MR4703360. arxiv, journal  [AG,NT,CO]

[16] Proportion of blocking curves in a pencil (with Shamil Asgarli and Dragos Ghioca). Submitted, arxiv [AG, CO]

[17] Existence of pencils with nonblocking hypersurfaces  (with Shamil Asgarli and Dragos Ghioca). Finite Fields Appl. 92 (2023), Paper No. 102283, 11 pp. MR4632692. arxiv, journal [AG,CO]

[18] Erdős-Ko-Rado theorem in Peisert-type graphs. Canad. Math. Bull. 67 (2024), no.1, 176-187. MR4706809. arxiv, journal [CO]

[19] Exact values and improved bounds on k-neighborly families of boxes (with Xinbu Cheng, Meiqin Wang and Zixiang Xu).  European J. Combin. 118 (2024), Paper No. 103926, 17pp. MR4691751. arxiv, journal  [CO]

[20] Additive decompositions of large multiplicative subgroups in finite fields.  Acta Arith. 213 (2024), no.2, 97-116. MR4742652. arxiv, journal  [NT]

[21] An exponential bound for simultaneous embeddings of planar graphs (with Ritesh Goenka and Pardis Semnani). Graphs Combin. 39 (2023), no. 5, Paper No. 100, 9 pp. MR4628948. arxiv, journal [CO]

[22] Extremal Peisert-type graphs without the strict-EKR property (with Sergey Goryainov). J. Combin. Theory Ser. A 206 (2024), Paper No. 105887, 42pp. MR4719893. arxiv, journal  [CO]

[23] Explicit constructions of Diophantine tuples over finite fields (with Seoyoung Kim and Semin Yoo). Ramanujan J., to appear, arxiv, journal  [NT]

[24] Exact values and improved bounds on the clique number of cyclotomic graphs. Submitted, arxiv [CO,NT]

[25] An Annotated Bibliography for Comparative Prime Number Theory (with Greg Martin, Pu Justin Scarfy Yang, Aram Bahrini, Prajeet Bajpai,  Kubra Benli, Jenna Downey,  Yuan Yuan Li, Xiaoxuan Liang, Amir Parvardi, Reginald Simpson, and Ethan White). Preprint, arxiv [NT]

[26] Diophantine tuples and multiplicative structure of shifted multiplicative subgroups (with Seoyoung Kim and Semin Yoo). Submitted, arxiv [NT]

[27] Restricted sumsets in multiplicative subgroups. Submitted, arxiv [NT, CO]

[28] On an Erdős similarity problem in the large (with Xiang Gao and Yuveshen Mooroogen). Submitted, arxiv [CA, NT]

[29] Multiplicatively reducible subsets of shifted perfect k-th powers and bipartite Diophantine tuples. Submitted, arxiv [NT]

[30] Any two-coloring of the plane contains monochromatic 3-term arithmetic progressions (with Gabriel Currier and Kenneth Moore). Submitted, arxiv [CO] 

[31] Distribution of power residues over shifted subfields and maximal cliques in generalized Paley graphs (with Greg Martin). Submitted, arxiv [NT, CO]

[32] Mutual position of two smooth quadrics over finite fields (with Shamil Asgarli). Submitted, arxiv [AG, CO, NT]

[33] On cyclotomic matrices involving Gauss sums over finite fields (with Jie Li, Li-Yuan Wang, and Hai-Liang Wu). Proc. Amer. Math. Soc., to appear. arxiv [NT]

[34] Avoiding short progressions in Euclidean Ramsey theory (with Gabriel Currier and Kenneth Moore). Submitted, arxiv  [CO]

[35] Paley-like quasi-random graphs arising from polynomials (with Seoyoung Kim and Semin Yoo). Submitted, arxiv [CO, NT]

[36] F-Diophantine sets over finite fields (with Semin Yoo). Submitted, arxiv. [NT]

[37] Improved upper bounds on Diophantine tuples with the property D(n). Bull. Aust. Math. Soc., to appear. arxiv [NT]