Counting polynomials with positive roots, 24 pp. (with B. Żmija)
Pythagoras numbers for infinite algebraic fields, 8 pp. (with N. Daans, S. Gajović, S. H. Man)
Additively indecomposable quadratic forms over totally real number fields, 38 pp., J. Lond. Math. Soc. (to appear) (with M. Tinková)
Sums of two units in number fields, 18 pp. (with M. Tinková, R. Visser)
Kitaoka's Conjecture for quadratic fields, 27 pp. (with V. Kala, J. Krásenský, D. Park, B. Żmija)
Adaptive Special Soundness: Improved Knowledge Extraction by Adaptive Useful Challenge Sampling, 93 pp. (with T. Attema, M. Klooß, R. W. F. Lai)
Most totally real fields do not have universal forms or Northcott property, Proc. Natl. Acad. Sci. U.S.A. 122 (20) e2419414122. (with N. Daans, V. Kala, S. H. Man, M. Widmer)
Failures of integral Springer's Theorem, Proc. Am. Math. Soc.,153 (2025), no. 6, 2369–2379. (with N. Daans, V. Kala, J. Krásenský)
Even better sums of squares over quintic and cyclotomic fields, 19 pp. (with V. Kala)
Real quadratic fields with a universal form of given rank have density zero, 18 pp., Amer. J. Math. (to appear), (with V. Kala, B. Żmija)
There are Salem numbers with trace −3 and every degree at least 34, Exp. Math., (2024), 1–6. (with G. Cherubini).
Potential energy of totally positive algebraic integers, 16 pp., J. Math. Anal. Appl, 516 (2022), no. 2, Paper No. 126518. (with G. Cherubini)
On quadratic Waring's problem in totally real number fields, 16 pp., Proc. Am. Math. Soc., 10.1090/proc/16233 (with J. Krásenský).
Consecutive real quadratic fields with large class numbers, 12 pp., Int. Math. Res. Not. IMRN, rnac176 (with G. Cherubini, A. Fazzari, A. Granville, V. Kala).
On Kitaoka's conjecture and lifting problem for universal quadratic forms, 11 pp., Bull. Lond. Math. Soc. 10.1112/blms.12762 (with V. Kala).
On the Spectral Gap of a Discrete Schrödinger Operator on the Path Graph in the Limit of Large Volume, Complex Anal. Oper. Theory 19, 115 (2025), (with J. Kerner).
Equiangular lines in Euclidean spaces: dimensions 17 and 18, 35 pp., Math. Comp. 92 (2023), 1867-1903 (with G. Greaves, J. Syatriadi).
Cyclic polytope of the simplest cubic fields, 9 pp., Discrete Comput. Geom., (2022) (with G. Cherubini).
Sums of squares in S-integers, New York J. Math. 26 (2020), 1145-1154 (with V. Kala).
Equiangular lines in low dimensional Euclidean spaces, Combinatorica, 41 (2021), no. 6, 839–872 (with G. Greaves, J. Syatriadi).
Lifting problem for universal quadratic forms, 24 pp., Adv. Math. 377 (2021), 107497 (with V. Kala).
On equiangular lines in 17 dimensions and the characteristic polynomial of a Seidel matrix, Math. Comp. 88 (2019), no. 320, 3041–3061 (with G. Greaves).
A lower bound for the rank of a universal quadratic form with integer coefficients in a totally real number field, Comment. Math. Helv. 94 (2019), no. 2, 221–239.
Salem numbers of trace −2, and a conjecture of Estes and Guralnick, J. Number Theory 160 (2016), 409–417 (with J. F. McKee).
A trace bound for positive definite connected integer symmetric matrices, Linear Algebra Appl. 444 (2014), 227–230 (with J. F. McKee).