# 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.

The list of publications in reverse chronological order of completion.

**13. New results on sum-product type growth over fields** (with Brendan Murphy, Oliver Roche-Newton, Misha Rudnev and Ilya D. Shkredov), 2017. arxiv

**12. Pinned algebraic distances determined by Cartesian products in $\mathbf{F}_p^2$** accepted in Proceedings of the American Mathematical Society, 2016. arXiv

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

**10. Products of differences in prime order finite fields**, 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** submitted, 2015. arXiv

**7. Tiling sets and spectral sets over finite fields** (REU project run together with Alex Iosevich and Jonathan Pakianathan) accepted in Journal of Functional Analysis | 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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Expository articles in the proceedings of Mel Nathanson's legendary Combinatorial and Additive Number Theory yearly conference in Manhattan.

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

**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

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Preprints that did not make it to print.

*Collinear triples and quadruples for Cartesian products in $\mathbf{F}_p^2$* (absorbed in [13] above). arXiv