The Fourier restriction phenomenon and the size of Kakeya sets are explored in the setting of the ring of integers modulo N for general N and a striking similarity with the corresponding euclidean problems is observed. One should contrast this with known results in the finite field setting.
|Number of pages||54|
|Publication status||Published - 30 May 2018|
FingerprintDive into the research topics of 'The Fourier restriction and Kakeya problems over rings of integers modulo N'. Together they form a unique fingerprint.
- School of Mathematics - Lecturer in Mathematical Sciences
Person: Academic: Research Active (Teaching)
- School of Mathematics - Chair in Mathematical Analysis
Person: Academic: Research Active