Symplectic conjectures for sums of divisor functions and explorations of an orthogonal regime
V.Z. Kuperberg, M. Lalín, Transactions of the American Mathematical Society, Series B 12 (2025) 323–370.

Arithmetic constants for symplectic variances of the divisor function
V.Z. Kuperberg, M. Lalín, Mathematika 71 (2025).

Lower bounds on weighted moments of primes in short intervals in number fields
R. de la Bretèche, V.Z. Kuperberg, Israel Journal of Mathematics 267 (2025) 437–461.

Odd moments and adding fractions
T.F. Bloom, V.Z. Kuperberg, Proceedings of the London Mathematical Society 131 (2025).

Positive density for consecutive runs of sums of two squares
N. Kimmel, V.Z. Kuperberg, Journal of the Institute of Mathematics of Jussieu 24 (2025) 1995–2046.

Synthetic quorum sensing and absorbing phase transitions in colloidal active matter
T. Lefranc, A. Dinelli, C. Fernández-Rico, R.P.A. Dullens, J. Tailleur, D. Bartolo, Physical Review X 15 (2025).

Field-driven reversible networks from colloidal rods
J. Fojo, R. Subert, L. Rodríguez-Arco, M.T. López-López, M. Dijkstra, C. Fernández-Rico, L. Alvarez, Soft Matter 21 (2025) 4596–4605.

Common valuations of division polynomials
B. Naskrcki, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 155 (2025) 1646–1660.

Surpassing the loss-noise robustness trade-off in quantum key distribution
H. Seabrook, E. Lavie, K.T. Strömberg, M.P. Stafford, G. Rubino, Physical Review Applied 24 (2025).

Paucity of rational points on fibrations with multiple fibres
T.D. Browning, J. Lyczak, A. Smeets, Algebra &; Number Theory 19 (2025) 2049–2090.

Class numbers and integer points on some Pellian surfaces
Y. Diao, Journal de Theorie Des Nombres de Bordeaux 37 (2025) 973–988.

Counting integer points on affine surfaces with a side condition
T.D. Browning, M. Verzobio, Discrete Analysis 2025 (2025).

Quartic polynomials in two variables do not represent all non-negative integers
S. Yao Xiao, S. Yamagishi, Journal of the European Mathematical Society (2025).

Diagonal cubic forms and the large sieve
V. Wang, Mathematika 71 (2025).

Birch’s theorem on forms in many variables with a Hessian condition
S. Yamagishi, Acta Arithmetica 221 (2025) 141–151.

Almost all quadratic twists of an elliptic curve have no integral points
T.D. Browning, S. Chan, Journal of the European Mathematical Society (2025).

Harper’s beyond square-root conjecture
V. Wang, M.W. Xu, International Mathematics Research Notices 2025 (2025).

Motivic distribution of rational curves and twisted products of toric varieties
L. Faisant, Algebra &; Number Theory 19 (2025) 883–965.

Averages of multiplicative functions along equidistributed sequences
S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.

Motivic counting of rational curves with tangency conditions via universal torsors
L. Faisant, ArXiv (n.d.).