# Sixteenth Algorithmic Number Theory Symposium (ANTS XVI)

Massachusetts Institute of Technology

July 15–19, 2024

## Lightning talks

- A. Anas Chentouf (MIT),
*Dehn invariant zero tetrahedra* (slides)
- Fabrice Etienne (University of Bordeaux),
*Computing class groups of large degree fields* (slides)
- Nikhil Gupta (Boston College),
*A Computational Perspective on Carmichael Numbers* (slides)
- Asimina Hamakiotes (University of Connecticut),
*Abelian extensions arising from elliptic curves with complex multiplication* (slides)
- Yongyuan (Steve) Huang (University of California San Diego),
*A census of genus 6 curves over the finite field of two elements* (slides)
- Yasuhiro Ishitsuka (Kyushu University),
*Periods modulo p of integer sequences associated with division polynomials of genus 2 curves* (slides)
- Robert Lin (Harvard),
*A new class of algorithms for finding short vectors in lattices lifted from co-dimension k codes* (slides)
- Jinyue Luo (The University of Chicago),
*Pseudorepresentations not arising from genuine representations*(slides)
- Elvira Lupoian (University College London),
*3-torsion subgroups of genus 3 curves* (slides)
- Mahya Mehrabdollahei (Gottingen University),
*Some progress regarding Chinburgâ€™s conjecture in Mahler measure theory* (slides)
- Pietro Mercuri (Sapienza UniversitĂ di Roma),
*Modular curves, Chen type isogeny and many points* (slides)
- Iu-iong Ng (Nagoya University),
*Recovering short generators via negative moments of Dirichlet L-functions* (slides)
- James Rickards (Saint Mary's University),
*Reciprocity obstructions in continued fraction semigroups* (slides)
- Sam Schiavone (MIT),
*Reconstructing genus 4 curves* (slides)
- Bruno Sterner (Inria),
*Finding large smooth twins* (slides)
- Swati (University of South Carolina),
*Exploring the index of nilpotency in certain spaces of modular forms* (slides)
- Madhavan Venkatesh (IIT Kanpur),
*Frobenius on first cohomology* (slides)
- Ariel Weiss (The Ohio State University),
*5-dimensional compatible systems and the Tate conjecture for elliptic surfaces* (slides)
- John Yin (University of Wisconsin, Madison),
*Density of polynomials generating tame extensions* (slides)