Dr Efthymios Sofos
- Lecturer (Mathematics)
https://orcid.org/0000-0001-9962-0733Research interests
Research Interests
My work lies at the intersection of analytic number theory and arithmetic geometry. I have worked on Manin's conjecture on counting rational points, Schnizel's Hypothesis (H) on prime values of polynomials, Serre's problem on random Diophantine equations and Sarnak's problem on almost prime solutions of Diophantine equations. Lately, I have been looking at connections of these areas with stochastic processes. My papers are on my webpage, arXiv, or Google Scholar.
Publications
2021
Rome, N. and Sofos, E. (2021) Asymptotics of the k-free diffraction measure via discretisation. Bulletin of the London Mathematical Society, (doi: 10.1112/blms.12450) (Early Online Publication)
2020
Frei, C. and Sofos, E. (2020) Generalised divisor sums of binary forms over number fields. Journal of the Institute of Mathematics of Jussieu, 19(1), pp. 137-173. (doi: 10.1017/s1474748017000469)
2019
Destagnol, K. and Sofos, E. (2019) Rational points and prime values of polynomials in moderately many variables. Bulletin des Sciences Mathématiques, 156, 102794. (doi: 10.1016/j.bulsci.2019.102794)
Sofos, E. (2019) Twists of Hooley's Δ-function over number fields. Functiones et Approximatio Commentarii Mathematici, 61(1), pp. 57-83. (doi: 10.7169/facm/1747)
Sofos, E. and Wang, Y. (2019) Finite saturation for unirational varieties. International Mathematics Research Notices, 2019(15), pp. 4784-4821. (doi: 10.1093/imrn/rnx318)
Browning, T.D. and Sofos, E. (2019) Averages of arithmetic functions over principal ideals. International Journal of Number Theory, 15(3), pp. 547-567. (doi: 10.1142/s1793042119500283)
Browning, T.D. and Sofos, E. (2019) Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen, 373(3-4), pp. 977-1016. (doi: 10.1007/s00208-018-1716-6)
Schindler, D. and Sofos, E. (2019) Sarnak’s saturation problem for complete intersections. Mathematika, 65(1), pp. 1-56. (doi: 10.1112/s002557931800030x)
2018
Frei, C., Loughran, D. and Sofos, E. (2018) Rational points of bounded height on general conic bundle surfaces. Proceedings of the London Mathematical Society, 117(2), pp. 407-440. (doi: 10.1112/plms.12134)
2016
Sofos, E. (2016) Serre's problem on the density of isotropic fibres in conic bundles. Proceedings of the London Mathematical Society, 113(2), pp. 261-288. (doi: 10.1112/plms/pdw030)
Frei, C. and Sofos, E. (2016) Counting rational points on smooth cubic surfaces. Mathematical Research Letters, 23(1), pp. 127-143. (doi: 10.4310/mrl.2016.v23.n1.a7)
2015
Aivazidis, S. and Sofos, E. (2015) On the distribution of the density of maximal order elements in general linear groups. Ramanujan Journal, 38(1), pp. 35-59. (doi: 10.1007/s11139-014-9619-y)
2014
Sofos, E. (2014) Uniformly counting rational points on conics. Acta Arithmetica, 166, pp. 1-13. (doi: 10.4064/aa166-1-1)
Articles
Rome, N. and Sofos, E. (2021) Asymptotics of the k-free diffraction measure via discretisation. Bulletin of the London Mathematical Society, (doi: 10.1112/blms.12450) (Early Online Publication)
Frei, C. and Sofos, E. (2020) Generalised divisor sums of binary forms over number fields. Journal of the Institute of Mathematics of Jussieu, 19(1), pp. 137-173. (doi: 10.1017/s1474748017000469)
Destagnol, K. and Sofos, E. (2019) Rational points and prime values of polynomials in moderately many variables. Bulletin des Sciences Mathématiques, 156, 102794. (doi: 10.1016/j.bulsci.2019.102794)
Sofos, E. (2019) Twists of Hooley's Δ-function over number fields. Functiones et Approximatio Commentarii Mathematici, 61(1), pp. 57-83. (doi: 10.7169/facm/1747)
Sofos, E. and Wang, Y. (2019) Finite saturation for unirational varieties. International Mathematics Research Notices, 2019(15), pp. 4784-4821. (doi: 10.1093/imrn/rnx318)
Browning, T.D. and Sofos, E. (2019) Averages of arithmetic functions over principal ideals. International Journal of Number Theory, 15(3), pp. 547-567. (doi: 10.1142/s1793042119500283)
Browning, T.D. and Sofos, E. (2019) Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen, 373(3-4), pp. 977-1016. (doi: 10.1007/s00208-018-1716-6)
Schindler, D. and Sofos, E. (2019) Sarnak’s saturation problem for complete intersections. Mathematika, 65(1), pp. 1-56. (doi: 10.1112/s002557931800030x)
Frei, C., Loughran, D. and Sofos, E. (2018) Rational points of bounded height on general conic bundle surfaces. Proceedings of the London Mathematical Society, 117(2), pp. 407-440. (doi: 10.1112/plms.12134)
Sofos, E. (2016) Serre's problem on the density of isotropic fibres in conic bundles. Proceedings of the London Mathematical Society, 113(2), pp. 261-288. (doi: 10.1112/plms/pdw030)
Frei, C. and Sofos, E. (2016) Counting rational points on smooth cubic surfaces. Mathematical Research Letters, 23(1), pp. 127-143. (doi: 10.4310/mrl.2016.v23.n1.a7)
Aivazidis, S. and Sofos, E. (2015) On the distribution of the density of maximal order elements in general linear groups. Ramanujan Journal, 38(1), pp. 35-59. (doi: 10.1007/s11139-014-9619-y)
Sofos, E. (2014) Uniformly counting rational points on conics. Acta Arithmetica, 166, pp. 1-13. (doi: 10.4064/aa166-1-1)