Submitted

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​- Height zero characters and Galois automorphisms (with A. Moretó and G. Souza), 2025.

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​- Character values of p-solvable groups on picky elements (with A. Moretó and G. Navarro), 2025.

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In press​

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- The Alperin Weight Conjecture and the Glauberman correspondence via character triples, J. M. Martínez, N. Rizo, D. Rossi.

To appear in Algebra and Number Theory.

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​Published

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- La conjetura de McKay. 

La Gaceta de la RSME, Vol. 28 (2025), Núm. 3, Págs. 537–551. 

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- Fixed point ratios, Sylow numbers and coverings of p-elements in finite groups, R. M. Guralnick, A. Maróti, J. Martínez Madrid, A. Moretó and N. Rizo.​

Journal of the London Mathematical Society (2025), 111: e70167

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​​​- A Brauer--Galois height zero conjecture, G. Malle, A. Moretó, N. Rizo and A. A. Schaeffer Fry.

International Mathematics Research Notices, Volume 2025, Issue 6, March 2025, rnaf065.

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- Decomposition numbers in the principal block and Sylow normalisers, G. Malle and N. Rizo.

Pacific Journal of Mathematics 336 (2025), 367-378.

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​- Characters and Sylow 3-subgroup abelianizations, E. Giannelli, N. Rizo, A. A. Schaeffer Fry and C. Vallejo.

Journal of Algebra 667 (2025), 824-864. 

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- Brauer's problem 21 for principal blocks, A. Moretó, N. Rizo, A. A. Schaeffer Fry.

Transactions of the American Mathematical Society. Ser. B Vol. 12 (2025), 38-64.

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- Minimal heights and defect groups with two character degrees, G. Malle, A. Moretó, N. Rizo.

Advances in Mathematics, Vol. 441, 2024.

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- The blocks with four irreducible characters, M. Martínez, N. Rizo, L. Sanus.

Bull. London Math. Soc. (2023) 55: 658-667. https://doi.org/10.1112/blms.12747

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- Principal blocks for different primes II, G. Navarro, N. Rizo, A. Schaeffer Fry.

Vietnam J. Math. (2022). https://doi.org/10.1007/s10013-022-00594-z (special issue dedicated to Pham Huu Tiep on the occasion of his 60th birthday.) 

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- Principal blocks for different primes I, G. Navarro, N. Rizo, A. Schaeffer Fry.

J. Algebra 610 (2022), 632-654.

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- Kernels of p'-degree irreducible characters, A. Moretó, N. Rizo. 

Mediterr. J. Math. 19 (2022), no. 3, Paper No. 121, 8 pp

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- Character degrees in separable groups, G. Navarro, N. Rizo, L. Sanus.

Proc. Amer. Math. Soc. 150, nr. 6 (2022)  2323–2329

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- Brauer character degrees and Sylow normalizers, L. Bonazzi, G. Navarro, N. Rizo, L. Sanus.

Ann. Mat. Pura Appl. (4) (2022) https://doi.org/10.1007/s10231-022-01210-0

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- Principal blocks with 5 irreducible characters, N. Rizo,  A. A. Schaeffer Fry, C. Vallejo,

J. Algebra 585 (2021), 316-337. 

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- Characters and generation of Sylow 2-subgroups, G. Navarro, N. Rizo,  A. A. Schaeffer Fry, C. Vallejo.

 Represent. Theory 25 (2021), 142–165.

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- A real version of Thompson's theorem on degrees, N. Rizo,  L. Sanus.

 Ann. Mat. Pura Appl. (4) 200 (2021), no. 3, 1297–1300.

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- p-blocks relative to a character of a normal subgroup II, N. Rizo.

Mediterr. J. Math. 17 (2020), no. 6, Paper No. 171.

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- Galois action on the principal block and cyclic Sylow subgroups, N. Rizo,  A. A. Schaeffer Fry, C. Vallejo.

Algebra and Number Theory. 14-7 (2020), 1953–1979.

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- Groups with few p'-character degrees in the principal block, E. Giannelli, N. Rizo, B. Sambale, A. A. Schaeffer Fry.

 Proc. Amer. Math. Soc. 148 (2020), no. 11, 4597–4614.

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- Groups with few p'-character degrees, E. Giannelli, N. Rizo, A. A. Schaeffer Fry. 

 J. Pure Appl. Algebra 224 (2020), no. 8, 15pp.

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- Unitary t-groups, E. Bannai, G. Navarro, N. Rizo, P. H.Tiep. 

J. Math. Soc. Japan 72 (2020), no. 3, 909–921.