Sixteenth Algorithmic Number Theory Symposium (ANTS XVI)
Massachusetts Institute of Technology
July 15–19, 2024
Papers to be presented at ANTS XVI
- Barinder S. Banwait, Maarten Derickx, Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville (code)
- Daniel Bernstein, Jolijn Cottaar, Tanja Lange, Searching for differential addition chains (code)
- Francesca Bianchi, Enis Kaya, Jan Steffen Müller, Algorithms for p-adic Heights on hyperelliptic curves of arbitrary reduction (code)
- Raymond van Bommel, Jordan Docking, Reynald Lercier, Elisa Lorenzo García, Reduction of plane quartics and Dixmier-Ohno invariants (code)
- Colby Austin Brown, An almost linear time algorithm testing whether the Markoff graph modulo p is connected (code)
- Xavier Caruso, Quentin Gazda, Computation of classical and v-adic L-series of t-motives (code)
- Maria Corte-Real Santos, Craig Costello, Benjamin Smith, Efficient (3,3)-isogenies on fast Kummer surfaces (code)
- Edgar Costa, Kiran S. Kedlaya, David Roe, Hypergeometric L-functions in average polynomial time, II (code)
- Noam D. Elkies, Rank of an elliptic curve and 3-rank of a quadratic field via the Burgess bound
- Steven D. Galbraith, Climbing and descending tall volcanos
- Everett W. Howe, Enumerating hyperelliptic curves over finite fields in quasilinear time (code)
- Aashraya Jha, Finding integral points on elliptic curves over imaginary quadratic fields (code)
- Seungki Kim, Phong Q. Nguyen, On counterexamples to the Mertens conjecture (data)
- Sabrina Kunzweiler, Damien Robert, Computing modular polynomials by deformation (code)
- Sumin Leem, Michael J. Jacobson, Renate Scheidler, Solving norm equations in global function fields (code)
- Martin Lüdtke, Refined Chabauty-Kim computations for the thrice-punctured line over ℤ[1/6] (code)
- Céline Maistret, Andrew V. Sutherland, Computing Euler factors of genus 2 curves at odd primes of almost good reduction (code)
- Stefano Marseglia, Modules over orders, conjugacy classes of integral matrices, and abelian varieties over finite fields (code)
- Erik Mulder, Fast square-free decomposition of integers using class groups (code)
- Oana Padurariu, Frederick Saia, Bielliptic Shimura curves \(\boldsymbol{X_0^D(N)}\) with nontrivial level (code)
- Aaron Pollack, Computation of Fourier coefficients of automorphic forms of type G2 (code)
- Andrew Shallue, Jonathan Webster, Advances in tabulating Carmichael numbers (code)
- Joseph H. Silverman, A heuristic subexponential algorithm to find paths in Markoff graphs over finite fields
- Jonathan Sorenson, Jonathan Webster, An algorithm and computation to verify Legendre's conjecture up to 7·1013 (code)
- José Felipe Voloch, Factoring polynomials over function fields
- David Zywina, Open image computations for elliptic curves over number fields (code)
We are grateful to the Mathematics Research Data Initiative (MaRDI) for reviewing the code and data linked to above.