My arXiv public author identifier is petridis_g_1.

My Google Scholar page.

My research is supported by the NSF Award 1723016. I gratefully acknowledge the support from the RTG in Algebraic Geometry, Algebra, and Number Theory at the University of Georgia, and from the NSF RTG grant DMS-1344994.


Journal publications in reverse chronological order of completion.

17. An energy bound in the affine group  (with Oliver Roche-NewtonMisha Rudnev and Audie Warren), 2019. arXiv

16. Refined estimates concerning sumsets contained in the roots of unity (with Brandon Hanson), 2019. arxiv

15. An example related to the Erdős-Falconer question over arbitrary finite fields (with Brendan Murphy), Bulletin of the Hellenic Mathematical Society, volume 63, pp. 38-39, 2019. Journal | arXiv

14. Bisectors and pinned distances (with Ben Lund), accepted in Discrete & Computational Geometry, 2018. arXiv

13. Products of differences over arbitrary finite fields (with Brendan Murphy), Discrete Analysis, 2018:18, 42 pp., 2018. Journal | arXiv

12. New results on sum-product type growth over fields (with Brendan MurphyOliver Roche-NewtonMisha Rudnev and Ilya D. Shkredov), Mathematika, volume 65, issue 3, pp. 588-642, 2019. Journal | arXiv

11. Pinned algebraic distances determined by Cartesian products in $\mathbb{F}_p^2$Proceedings of the American Mathematical Society, volume 145, issue 11, pp. 4639-4645, 2017. Journal | arXiv

10. Bounds on trilinear and quadrilinear exponential sums (with Igor Shparlinski), Journal d'Analyse Mathematique, volume 138, issue 2, pp. 613-641, 2019. Journal | arXiv

9. A point-line incidence identity in finite fields, and applications (with Brendan Murphy), Moscow Journal of Combinatorics and Number Theory, volume 6, issue 1, pp. 64-95, 2016. Journal | arXiv

8. On the number of dot products determined by a large set and one of its translates in finite fields, Online Journal of Analytic Combinatorics, issue 12, #4, 2017. Journal | arXiv

7. Tiling sets and spectral sets over finite fields (REU project run together with Alex Iosevich and Jonathan Pakianathan), Journal of Functional Analysis, volume 273, issue 8, pp. 2547-2577, 2017. Journal | arXiv

6. The cardinality of sumsets: different summands (with Brendan Murphy and Eyvi Palsson), Acta Arithmetica, volume 167, issue 4, pp 375-395, 2015. Journal | arXiv

5. Matchings in random biregular bipartite graphs (with Guillem Perarnau), The Electronic Journal of Combinatorics, volume 20, issue 01, p60, 2013. Journal | arXiv

4. New proofs of Plünnecke-type estimates for product sets in groups, Combinatorica, volume 32, issue 06, pp. 721-733, 2012. Journal | arXiv

3. The $L^1$-norm of exponential sums in $\mathbb{Z}^d$Mathematical Proceedings of the Cambridge Philosophical Society, volume 154, issue 03, pp. 381-392, 2013. Journal | arXiv

2. Upper bounds on the cardinality of higher sumsets, Acta Arithmetica, volume 158, issue 04, pp. 299-319, 2013. Journal | arXiv

1. Plünnecke's inequality, Combinatorics, Probability and Computing, volume 20, issue 06, pp. 921-938, 2011. Journal | arXiv


Conference proceedings publications (peer reviewed).

III. Pseudorandomness of large sets in finite fields, in K.-U. Schmidt and A. Winterhof (eds.), Combinatorics and finite fields: Difference sets, polynomials, pseudorandomness and applications. Radon Series on Computational and Applied Mathematics, Berlin: de Gruyter, 2019. Preprint | Proceedings

II. A second wave of expanders over finite fields, (with Brendan Murphy) in Combinatorial and Additive Number Theory II: CANT 2015 and 2016, 215-238, 2017. arXiv | Proceedings

I. The Plünnecke-Ruzsa inequality: an overview, in: Combinatorial and Additive Number Theory: CANT 2011 and 2012, 229-241, 2014. Author's Copy | Proceedings


Preprints that did not make it to print (but have Google scholar citations).

  • Collinear triples and quadruples for Cartesian products in $\mathbb{F}_p^2$ (absorbed in [13] above). arXiv
  • Products of differences in prime order finite fields (absorbed in the second conference proceedings article above; see also [12] and [13]). arXiv