All publications:
On an entropy inequality for quadratic forms and applications, 2025, submitted.
Sets preserved by a large subgroup of the special linear group, 2025, submitted.
On a theorem of Mattila in the finite p-adic setting, 2025, submitted.
Packing sets under finite groups via algebraic incidence structures, 2025, submitted.
On the solvability of systems of equations revisited, 2024, submitted
On the distance problem over finite p-adic rings, 2024, submitted.
Packing sets in Euclidean space by affine transformations, 2024, submitted.
A discretized point-hyperplane incidence bound in R^d, 2023, submitted.
Intersection patterns and incidence theorems, 2023, submitted.
On a radial projection conjecture in F_q^d, 2023, submitted.
Orthogonal projections in the plane over prime order fields, 2023, submitted.
Radial projection theorems in finite spaces, accepted in Proceedings of the American Mathematical Society, 2024
Triangles with one fixed side-length, a Furstenberg type problem, and incidences in finite vector spaces, accepted in Forum Mathematicum, 2024.
Pinned simplices and connections to product of sets on paraboloids, accepted in Indiana University Mathematics Journal, 2024.
Geometric structures in pseudo-random graphs, accepted in Canadian Journal of Mathematics, 2024.
Multi-linear forms, graphs, and L^p-improving measures in F_q^d, Canadian Journal of Mathematics, 77(1) (2025), 208-251.
A spherical extension theorem and applications in positive characteristic, Finite Fields and Their Applications, 101(2025), 102515.
VC-dimension and pseudo-random graphs, Discrete Applied Mathematics, 365 (2025), 231-246.
Product of sets on varieties in finite fields, Journal of Fourier Analysis and Applications, 30(2) (2024), 1-15.
New–type Quasirandom Groups and Applications, Journal of Fourier Analysis and Applications, 30(6) (2024), 64.
Falconer type functions in three variables, Journal of Functional Analysis, 286(4) (2024), 110246.
An improved point-line incidence bound over arbitrary finite fields via the VC-dimension theory, European Journal of Combinatorics, 118 (2024), 103928.
Parallelograms and the VC-dimension of the distance sets, Discrete Applied Mathematics, 349 (2024), 195-200.
Group action and L^2 norm estimates of geometric problems, Journal of Mathematical Analysis and Applications, 531(1) (2024), 127748.
Structural theorems on the distance sets over finite fields, Forum Mathematicum, 35(4) (2023), 925-938.
A Point-Conic Incidence Bound and Applications, European Journal of Combinatorics, 107 (2023), 103596.
An energy decomposition theorem for matrices and related questions, Canadian Mathematical Bulletin, 66(4) (2023), 1280-1295.
Threshold functions for incidence properties in finite vector spaces, Finite Fields and Their Applications, 87 (2023), 102149.
Distribution of pinned distance trees in the plane F2p, Discrete Mathematics, 346(12) (2023), 113613.
Configurations of rectangles in a set in 𝔽_q^2 , Finite Fields and Their Applications, 86(2023), 102147.
On the cone restriction conjecture in four dimensions and applications in incidence geometry, International Mathematics Research Notices, 2022(21), 17079-17111.
A point-sphere incidence bound in odd dimensions and applications , Comptes Rendus. Mathématique, 360.G6 (2022), 687-698.
On the pinned distances problem in positive characteristic, Journal of the London Mathematical Society, 105(1) (2022), 469-499.
On the Mattila-Sjolin distance theorem for product sets, Mathematika, 68(4) (2022), 1258-1267.
Distribution of distances in five dimensions and related problems , SIAM Journal on Discrete Mathematics, 36(3) (2022), 2271-2281.
Moderate Expanders Over Rings, Journal of Number Theory , 218(2021), 223-233.
An asymmetric bound for sum of distance sets, Proceedings of the Steklov Institute of Mathematics, 314 (2021), 279–289. (dedicated to 130th anniversary of Academician Ivan Matveevich Vinogradov)
Mattila-Sjolin type functions: A finite field model, Vietnam Journal of Mathematics, 2021, 1-14.
On restriction estimates for spheres in finite fields, Canadian Journal of Mathematics, 73(3) (2021), 769-786.
Extension theorems for Hamming varieties over finite fields, Proceedings of the American Mathematical Society, 150(1) (2021), 161-170.
Extension theorems and Distance problems over finite fields, Journal of Functional Analysis, 281(8) (2021), 109137.
A sharp exponent on sum of distance sets over finite fields, Mathematische Zeitschrift, 297 (2020), 1-17.
Distribution of determinant of sum of matrices, Revista Matematica Iberoamericana, 37(4) (2020), 1365–1398.
Structures of distance sets over prime fields, Proceedings of the American Mathematical Society, 148(2020), 3209--3215.
On a theorem of Hegyvari and Hennecart, Pacific Journal of Mathematics, 305(2) (2020), 407--421.
Exponential sum estimates over prime fields, International Journal of Number Theory, 16(02)(2020), 291-308.
Distribution of distances in vector spaces over prime fields, Pacific Journal Mathematics, 309 (2020), 437-451.
A new perspective on the distance problem over prime fields, European Journal of Combinatorics, 86 (2020), 103080.
A new lower bound on the Erdos distinct distances problem over prime fields, Acta Arithmetica, 193 (2020), 165-174.
Distance sets for small sets over arbitrary finite fields, Illinois Journal of Mathematics, 63(3) (2019), 469-484.
Power sum polynomials as weak and relaxed EGZ polynomials, INTEGER, 19, A49, (2019).
A Sum-product theorem in matrix rings over finite fields, C. R. Acad. Sci. Paris, Ser. I. 357(10) (2019), 766-770.
Expanding phenomena over matrix rings, Forum Mathematicum, 31(4) (2019), 951-970.
Expansion for the product of matrices in groups, Forum Mathematicum, 31(1) (2019), 35-48.
On the determinants and permanents of matrices with restricted entries over prime fields, Pacific Journal of Mathematics, 300(2)(2019): 405-417.
Three-variable expanding polynomials and higher-dimensional distinct distances, Combinatorica, 39(2) (2019), 411-426.
Incidences between planes over finite fields, Proceedings of the American Mathematical Society, 147(5) (2019), 2185-2196.
Distinct distances between points and lines in F_q^2, Forum Mathematicum, 30(4) (2018), 799-808.
A structure theorem for product sets in extra special groups, Journal of Number Theory, 184 (2018), 461-472.
Conditional expanding bounds for two-variable functions over arbitrary fields, Journal of Number Theory, 186 (2018), 137-146.
Four-variable expanders over the prime fields, Proceedings of the American Mathematical Society, 146(12) (2018), 5025-5034.
Distances from points to planes, Acta Arithmetica, 186 (2018): 219-224.
Distinct spreads in vector spaces over finite fields, Discrete Applied Mathematics, 239 (2018), 154-158.
An improvement on the number of simplices in F_q^d , Discrete Applied Mathematics, 221 (2017), 95-105.
Paths in pseudorandom graphs and applications, Ars Combinatoria, 153 (2017), 195-20
Distinct distances on regular varieties over finite fields, Journal of Number Theory, 173(2017), 602-613.
Some combinatorial number theory problems in finite spaces, Illinois Journal of Mathematics, 61(2) (2017), 243-257.
Conditional expanding bounds for two-variable functions over finite valuation rings, European Journal of Combinatorics, 60 (2017): 114-123.
A Szemeredi-Trotter type theorem, sum-product estimates in finite quasifields, and related results, Journal of Combinatorial Theory, Series A, 147 (2017), 55-74.
Schwartz-Zippel bounds for two-dimensional products, Discrete Analysis, 20 (2017), 20pp.
Incidences between points and generalized spheres over finite fields and related problems, Forum Mathematicum, 29(2) (2017), 449-456.
An additive problem in finite cyclic rings with powers of elements of large multiplicative order, Applicable Analysis and Discrete Mathematics, 10(2) (2016), 325-331.
Erdos-Renyi graph, Szemeredi-Trotter type theorem, and sum-product estimates over finite rings, Forum Mathematicum, 27(1) (2015), 331-342.
Orthogonal systems in vector spaces over finite rings, Electronic Journal of Combinatorics, (2012), P48.