# Publications

My arXiv public author identifier is petridis_g_1.

I have a Google Scholar page.

A slightly longer account of my research can be found in the corresponding page.

Journal publications in reverse chronological order of completion.

13. Products of differences over arbitrary finite fields (with Brendan Murphy), 2017. arxiv

12. New results on sum-product type growth over fields (with Brendan Murphy, Oliver Roche-Newton, Misha Rudnev and Ilya D. Shkredov), 2017. 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. arXiv | Journal

10. Bounds on trilinear and quadrilinear exponential sums (with Igor Shparlinski), accepted in Journal d'Analyse Mathematique, 2016. 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

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Peer reviewed expository articles in the proceedings of Mel Nathanson's legendary Combinatorial and Additive Number Theory yearly conference in Manhattan.

II. A second wave of expanders over finite fields, (with Brendan Murphy) to appear in Combinatorial and Additive Number Theory: CANT 2015 and 2016, 2017. arxiv

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

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Preprints that did not make it to print.

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 expository article above; see also [12] and [13]). arXiv