Ali Mohammadi
Post-Doctoral Researcher
✉     a.mohammadi@ipm.ir
☏     (+98-21) 2310 ext. 2105
🖷     (+98-21) 22290648
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Personal Website
Education
PhD, University of Sydney, 2018Research Field
Number TheoryResearch 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 ArxivGoogle Scholar Profile