# 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

**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 [II] above; see also [12] and [13]). arXiv