Dr.
Audie Warren
Research Scientist
Symbolic Computation
Contact
Email: Audie.Warren(at)oeaw.ac.at
Telephone: +43 732 2468 5265
Publications
Journal Publication (15)
- Warren, Audie (2024) Incidences of Cubic Curves in Finite Fields. ELECTRON J COMB, Bd. 31 (1), S. ARTN 12185.
- Mohammadi, A.; Pham, T.; Warren, A. (2023, online: 2022) A Point-Conic Incidence Bound and Applications over $F_p$. European Journal of Combinatorics, Bd. 107, S. n/a.
- Roche-Newton, O.; Warren, A. (2022) A convex set with a rich difference. ACTA MATH HUNG, Bd. 168, S. 587–592.
- Warren, Audie; Wheeler, James (2022) Incidences of Mobius Transformations in F-p. Discret. Comput. Geom., Bd. n/a, S. n/a.
- Roche-Newton, Oliver; Warren, Audie (2022) Arcs in Fq2. Eur. J. Comb., Bd. 103, S. ARTN 103512.
- Stevens, Sophie; Warren, Audie (2022) On sum sets and convex functions. Electron. J. Comb., Bd. 29 (2), S. n/a.
- Makhul, M.; Roche-Newton, O.; Stevens, S.; Warren, A. (2022, online: 2021) The Elekes-Szabo problem and the uniformity conjecture. Israel Journal of Mathematics, Bd. 248, 39–66 (2022), S. 39--66.
- Petridis, G.; Roche-Newton, O.; Rudnev, M.; Warren, A. (2022, online: 2020) An energy bound in the affine group. International Mathematics Research Notices, Bd. 2022 (2), S. 1154--1172.
- Roche-Newton, O.; Warren, A. (2021) New expander bounds from affine group energy. Discrete & Computational Geometry, Bd. 66 (2), S. 552-574.
- Roche-Newton, O.; Warren, A. (2021) Additive and multiplicative Sidon sets. Acta Mathematica Hungarica, Bd. 165 (2), S. 326--336.
- Roche-Newton, O.; Warren, A. (2021) Improved bounds for pencils of lines. Proceedings of the American Mathematical Society, Bd. 149 (2), S. 805–815.
- Makhul, M.; Warren, A.; Winterhof, A. (2020) The spherical Kakeya problem in finite fields. SIAM J. Discrete Math., Bd. 34 (4), S. 2502--2509.
- Makhul, M.; Roche-Newton, O.; Warren, A.; de Zeeuw, F. (2020) Constructions for the Elekes-Szabó and Elekes-Rónyai problems. Electronic Journal of Combinatorics, Bd. 27 (1), S. Paper No. 1.57, 8 pp.
- Warren, A. (2019) On products of shifts in arbitrary fields. Moscow Journal of Combinatorics and Number Theory, Bd. 8 (3), S. 247--261.
- Warren, A.; Winterhof, A. (2019) Conical Kakeya and Nikodym sets in finite fields. Finite Fields and Their Applications, Bd. 59, S. 185--198.
Dissertation (1)
Workingpaper (5)
- Mohammadi, A.; Pham, T.; Warren, A. (2021) A Point-Conic Incidence Bound and Applications over $F_p$.
- Warren, A.; Wheeler, J. (2021) Incidences of Möbius transformations in $F_p$.
- Stevens, S.; Warren, A. (2021) On sum sets of convex functions.
- Roche-Newton, O.; Warren, A. (2020) Arcs in F_q^2.
- Mehdi Makhul, Josef Schicho, Audie Warren On Galois groups of type-1 minimally rigid graphs.