Polynesian Journal of Mathematics

Volumes

Volume 4 (2026)

Special volume AJAX in honor of René Schoof
Guest editors: Samuele Anni, Elisa Lorenzo García, and Valerio Talamanca.
Read the volume preface (PDF).

1. Abelian varieties over 𝔽₂ of prescribed order and dimension
   Kiran S. Kedlaya
2. Hashing-friendly elliptic curves
   Dimitri Koshelev
3. Explicit families of hyperelliptic curves with CM Jacobians
   Saeed Tafazolian and Jaap Top
4. Distortion maps for elliptic curves over finite fields
   Nikita Andrusov, Sevag Büyüksimkeşyan, Dimitrios Noulas, Fabien Pazuki, Mustafa Umut Kazancioğlu, and Jordi Vilà-Casadevall
5. René Schoof's mathematical maps
   Capi Corrales Rodrigáñez
6. Order vs exponent for finite flat group schemes
   Emiliano Torti
7. On the convexity of the fundamental domain of binary cyclotomic forms
   Étienne Fouvry and Michel Waldschmidt
8. Computing torsion for plane quartics without using height bounds
   Raymond van Bommel
9. On the ℓ-part of Iwasawa modules in ℤ_p-extensions
   Andrea Bandini and Ignazio Longhi
10. Factorization pattern and fields of definition of ℓ-torsion points on the Jacobians of genus-3 hyperelliptic curves
    Amalia Pizarro-Madariaga and Edgardo Riquelme Faúndez
11. Asymptotic arithmetic of varieties over finite fields
    Marc Hindry
12. On maximal Dynkin friezes
    Robin Zhang
13. Weber modular curves and modular isogenies
    Leonardo Colò and David Kohel
14. An introduction to the strategy of transcendence proofs
    Michel Waldschmidt
15. A trick to ensure positive Mordell–Weil rank
    Thibaut Misme

Volume 3 (2026)

1. Partitions and Hecke images
   Florian Breuer and Fabien Pazuki
2. A note on the chromatic number of Kneser graphs on chambers of projective planes and incidence-free sets
   Philipp Heering, Klaus Metsch, Vladislav Taranchuk, and Zsuzsa Weiner
3. Functionality for isomorphism classes of curves and hypersurfaces
   Thomas Bouchet, Reynald Lercier, Christophe Ritzenthaler, and Jeroen Sijsling

Volume 2 (2025)

1. On the non-special divisors in algebraic function fields defined over finite fields
   Stéphane Ballet and Mahdi Koutchoukali
2. Using Tschirnhaus transformations to find roots in quintic polynomials over 𝔽_2^m
   Peter Beelen and Emil Astrup Wrisberg
3. A finiteness theorem for 2-towers of number fields
   Xavier Vidaux and Carlos Rodolfo Videla
4. Improvements of convex-dense factorization of bivariate polynomials
   Martin Weimann
5. On a minimum fractional Hardy-Hilbert-type integral inequality
   Christophe Chesneau
6. Functorial semantics for relational theories
   Filippo Bonchi, Dusko Pavlovic, and Paweł Sobociński

Volume 1 (2024)

This volume is also available in print.

1. Introducing the Polynesian Journal of Mathematics
   Gaetan Bisson, Roger Oyono, and Jito Vanualailai
2. Differential uniformity of polynomials of degree 10
   Yves Aubry
3. Rows of the Pascal triangle which are palindromic in base b
   Florian Luca
4. Okutsu sequences in Henselian valued fields
   Enric Nart
5. Polarized products of elliptic curves with complex multiplication and field of moduli ℚ
   Fabien Narbonne, with an appendix by Francesc Fité and Xavier Guitart
6. Kyber terminates
   Manuel Barbosa and Peter Schwabe