Professor of Mathematics
Department of Mathematics
National and Kapodistrian University of Athens
Greece
Department of Mathematics
National and Kapodistrian University of Athens
Greece
harmonic analysis, incidence geometry, geometric measure theory, additive combinatorics
Oscillatory integral operators and variable Schrödinger propagators: beyond the universal estimates (with M. Chen, S. Gan, S. Guo, J. Hickman, J. Wright) (2024).
On integer distance sets (with R. Greenfeld, S. Peluse) (2024).
Quanta Magazine: Merging Fields, Mathematicians Go the Distance on Old Problem.
Some sharp inequalities of Mizohata-Takeuchi-type (with A. Carbery, H. Wang), to appear in Rev. Mat. Iberoam. (2023).
Sharp L^p estimates for oscillatory integral operators of arbitrary signature (with J. Hickman), Math. Z. 301, 1143-1189 (2022).
Inequalities of Riesz-Sobolev type for compact connected Abelian groups (with M. Christ), Amer. J. Math. 144, no. 5, 1367-1435 (2022).
Joints formed by lines and a k-plane, and a discrete estimate of Kakeya type (with A. Carbery), Discret. Anal., https://doi.org/10.19086/da.18361 (2020).
Sharp estimates for oscillatory integral operators via polynomial partitioning (with L. Guth, J. Hickman), Acta Math. 223, no. 2, 251-376 (2019).
A multilinear Fourier extension identity on R^n (with J. Bennett), Math. Res. Lett. 25, no. 4, 1089-1108 (2018).
A sharp k-plane Strichartz inequality for the Schrödinger equation (with J. Bennett, N. Bez, T. Flock, S. Gutierrez), Trans. Amer. Math. Soc. 370, no. 8, 5617-5633 (2018).
Incidence bounds on multijoints and generic joints, Discrete Comput. Geom. 54, no. 2, 481-512 (2015).
Counting multijoints, J. Combin. Theory Ser. A 136, 143-163 (2015).
Flow monotonicity and Strichartz inequalities (with J. Bennett, N. Bez), Int. Math. Res. Not. 19, 9415-9437 (2015).
Counting joints in vector spaces over arbitrary fields (with A. Carbery) (2014).
Counting joints with multiplicities, Proc. Lond. Math. Soc. (3) 106, no. 3, 675-702 (2013).
Together with L. Guth and J. Hickman, we received one of the Frontiers of Science Awards 2018-22 for our paper Sharp estimates for oscillatory integral operators via polynomial partitioning.
Discrete analogues of Kakeya problems, University of Edinburgh, 2013.