My primary interest:

  • Discrete Combinatorial Geometry

  • Additive Combinatorics

  • Extension/Restriction Theory, Geometric Measure Theory

My Co-Authors (31):

Dao Nguyen Van Anh, Tanbir Ahmed, Arie Bialostocki, Philipp Birklbauer, Daewoong Cheong, Ye ̧sim Demiro ̆glu Karabulut, Brendan Murphy, Mojgan Mirzaei, Ben Lund, Sujin Lee, Le Quang Ham, Do Duy Hieu, Pham Duc Hiep, Alex Iosevich, Doowon Koh, Hossein N. Mojarrad, Janos Pach, Giorgis Petridis, Nguyen Duy Phuong, Misha Rudnev, Nguyen Minh Sang, Andrew Suk, Sophie Stevens, Chun-Yen Shen, Michael Tait, Craig Timmons, Gabor Tardos, Le Anh Vinh, Claudiu Valculescu, Robert Won, Frank de Zeeuw.


Papers:

On the Pinned Distances Problem over Finite Fields, arXiv:2003.00510.

Moderate Expanders Over Rings, accepted in Journal of Number Theory (2020)

A sharp exponent on sum of distance sets over finite fields, accepted in Mathematische Zeitschrift (2020).

Extension theorems and Distance problems over finite fields, arXiv:1809.08699.

Extension theorems for Hamming varieties over finite fields, accepted in Proceedings of the American Mathematical Society (2020).

Occurrence of distances in vector spaces over prime fields, accepted in Pacific Journal of Mathematics (2020).

Distribution of determinant of sum of matrices, accepted in Revista Matemática Iberoamericana (2019).

On a theorem of Hegyvari and Hennecart, accepted in Pacific Journal of Mathematics (2019).

A new perspective on the distance problem over prime fields, accepted in European Journal of Combinatorics (2019).

Structures of distance sets over prime fields, accepted in Proceedings of the American Mathematical Society (2019)

A new lower bound on the Erdos distinct distances problem over prime fields, accepted in Acta Arithmetica (2019).

Power sum polynomials as weak and relaxed EGZ polynomials, accepted in INTEGER (2019).

A Sum-product theorem in matrix rings over finite fields, accepted in C. R. Acad. Sci. Paris, Ser. I. (2019)

Exponential sum estimates over prime fields, accepted in International Journal of Number Theory (2018).

On restriction estimates for spheres in finite fields, accepted in Canadian Journal of Mathematics (2018).

Expanding phenomena over matrix rings, accepted in Forum Math. (2018).

Distance sets for small sets over arbitrary finite fields, accepted in Illinois Journal of Mathematics (2018).

Distances from points to planes, accepted in Acta Arithmetica (2018).

Expansion for the product of matrices in groups, accepted in Forum Math. (2018)

On the determinants and permanents of matrices with restricted entries over prime fields, accepted in Pacific Journal of Mathematics (2018).

A structure theorem for product sets in extra special groups, accepted in Journal of Number Theory (2018).

Conditional expanding bounds for two-variable functions over arbitrary fields, accepted in Journal of Number Theory (2018).

Four-variable expanders over the prime fields, accepted in Proceedings of the American Mathematical Society (2018).

Three-variable expanding polynomials and higher-dimensional distinct distances, accepted in Combinatorica (2018).

Erdos Distinct Distances Problem and Extensions over Finite Spaces, EPFL, Lausanne, 2017,

Some combinatorial number theory problems in finite spaces, accepted in Illinois Journal of Mathematics (2017).

An improvement on the number of simplices in F_q^d , accepted in Discrete Applied Mathematics (2017).

Right angles in finite spaces, preprint, (2017).

Paths in pseudorandom graphs and applications, accepted in Canadian Journal of combinatorics (2017).

Distinct spreads in vector spaces over finite fields, accepted in Discrete Applied Mathematics (2017).

Distinct distances on regular varieties over finite fields, accepted in Journal of Number Theory (2016).

Schwartz-Zippel bounds for two-dimensional products, accepted in Discrete Analysis (2016).

A Szemeredi-Trotter type theorem, sum-product estimates in finite quasifields, and related results, accepted in Journal of Combinatorial Theory Series A (2016).

Conditional expanding bounds for two-variable functions over finite valuation rings, accepted in European Journal of Combinatorics (2016).

Incidences between planes over finite fields, accepted in Proceedings of the American Mathematical Society (2016).

An additive problem in finite cyclic rings with powers of elements of large multiplicative order, accepted in Applicable Analysis and Discrete Mathematics (2016).

Incidences between points and generalized spheres over finite fields and related problems, accepted in Forum Math. (2016).

Erdos-Renyi graph, Szemeredi-Trotter type theorem, and sum-product estimates over finite rings, accepted in Forum Math. (2012).

Orthogonal systems in vector spaces over finite rings, accepted in Electronic Journal of Combinatorics (2012).


Referee Service:

Discrete and Computational Geometry (DCG), European Journal of Combinatorics (EJC), SIAM Journal on Discrete Mathematics (SIDMA), Journal of Combinatorial Theory Series A (JCTA), Discrete Applied Mathematics (DAM), Symposium on Computational Geometry (SoCG), Journal of Fourier Analysis and Applications (JFAA), New York Journal of Mathematics, Finite Fields and Their Applications (FFA), Journal of Number Theory, Math Reviews, ZbMATH