Record breaking elliptic curve!

Collaboration PI Noam Elkies and Zev Klagsbrun found the first elliptic curve defined over the rational numbers with rank at least 29. Assuming the Generalized Riemann Hypothesis, the rank is exactly 29. The previous record, with rank 28, dates from 2006. The new curve was found by a sieve search on a rank-17 elliptic fibration of a K3 surface – the same surface used to find the rank-28 curve – using the techniques described in their ANTS-XIV (2020) paper. For each specialization that was a candidate for high rank, they searched for points outside the fibration’s generic rank 17 subgroup of rational points; for the new curve this search found 12 more independent points.

Collaboration members contributing ANTS XVI papers

Collaboration affiliates contributed 10 manuscripts to the ANTS XVI conference, whose proceedings will appear in a special issue of “Research in Number Theory”.

Maass forms in the LMFDB

Rigorous Maass forms are now in the LMFDB! The computations use work of Kieran Child, David Lowry-Duda, and Andrei Seymour-Howell. Background may be found in Lowry-Duda’s blog post.

Murmurations research profiled in Quanta magazine

The Quanta magazine article Elliptic Curve `Murmurations’ Found with AI Take Flight profiles research by collaboration PI Andrew Sutherland and research scientist David Lowry-Duda. These phenomena were discovered through analysis of elliptic curves in the LMFDB.

 

work of Jerson Caro to appear in Inventiones

The manuscript “A Chabauty-Coleman bound for surfaces”, by collaboration research scientist Jerson Caro and Hector Pasten, will appear in Inventiones mathematicae! This work provides the first application of this beautiful technique to higher-dimensional varieties. The preprint is available at arXiv:2102.01055.

 

Kieffer to assume permanent research position in France

Congratulations to collaboration research scientist Jean Kieffer, who will take up a position with the Centre national de la recherche scientifique! He will join the Caramba team led by Emmanuel Thomé, in Nancy, starting January 1st.

Srinivasan to take up faculty position at Boston University

Congratulations to collaboration research scientist Padmavathi Srinivasan, who will start as an Assistant Professor at Boston University in fall 2023!

Hassett elected a Fellow of the AAAS

Collaboration PI Brendan Hassett was elected a Fellow of the American Association for the Advancement of Science for “significant contributions to the field of algebraic geometry and leadership to the mathematics community.”

Jennifer Balakrishnan

Balakrishnan elected a fellow of the AWM

Congratulations to PI Jennifer Balakrishnan for her selection as a member of the 2023 class of fellows of the Association for Women in Mathematics. She was cited “For her support of women in mathematics through mentoring and advising; for organizing and supporting programs for women and girls, especially Women in Sage and Women in Numbers; for her work in outreach and education, including GirlsGetMath; and for working to improve diversity, equity, and inclusion in research communities.”

Poonen wins Doob Prize

Congratulations to Bjorn Poonen for the 2023 Joseph L. Doob Prize, awarded to his book Rational Points on Varieties.  This was published by the American Mathematical Society in 2017 in the series Graduate Studies in Mathematics.

 

 

 

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