Ali Mohammadi


Post-Doctoral Researcher

    a.mohammadi@ipm.ir
    (+98-21) 2310 ext. 2105
🖷     (+98-21) 22290648

    Personal Website










Education

PhD, University of Sydney, 2018

Research Field

Number Theory

Research Interests

The sum-product problem, Character sum estimates, Estimates of density of rational points on curves and surfaces.

Publications

  • Attaining the exponent 5/4 for the sum-product problem in finite fields, International Mathematics Research Notices, (2021), (joint with S. Stevens).
  • Points on polynomial curves in small boxes modulo an integer, Journal of Number Theory, 223 (2021), 64–78, (joint with B. Kerr).
  • On growth of the set A(A+1) in arbitrary finite fields, Electronic Journal of Combinatorics, 27 (2020).
  • Szemeredi-Trotter type results in arbitrary finite fields, Integers, 20 ( A7) (2020).
  • Improved bounds on Gauss sums in arbitrary finite fields, International Journal of Number Theory, 15 (2019), 2027–2041.
  • A new sum-product estimate in prime fields, Bulletin of the Australian Mathematical Society, 100 (2019), 268–280, (joint with C. Chen and B. Kerr).

Links

Papers on Arxiv
Google Scholar Profile