Publications

Writing finite simple groups of Lie type as products of subset conjugates. Combinatorica, 45(3), 2025. Article no. 45:28. DOI, arXiv.

Products of three conjugacy classes in the alternating group. arXiv:2505.06012. arXiv.

The diameter of random Schreier graphs (with Luca Sabatini). European J. Combin., 127, 2025. Article no. 104164. DOI, arXiv.

Thin monodromy in Sp(4) and Sp(6) (with Jitendra Bajpai and Martin Nitsche). J. Algebra, 663:487–501, 2025. DOI, arXiv, DOI of companion data.

A CFSG-free explicit Jordan's theorem over arbitrary fields (with Jitendra Bajpai). arXiv:2411.11632. arXiv, OWP.

ˆGrowth of products of subsets in finite simple groups (with Attila Maróti and László Pyber). Bull. Lond. Math. Soc., 56(8):2704–2710, 2024. DOI, arXiv.

Involutions in finite simple groups as products of conjugates (with Martin W. Liebeck and Kamilla Rekvényi). Comm. Algebra, 52(9):3750–3761, 2024. DOI, arXiv.

New dimensional estimates for subvarieties of linear algebraic groups (with Jitendra Bajpai and Harald Andrés Helfgott). Vietnam J. Math., 52(2):479–518, 2024. DOI, arXiv.

A sum-bracket theorem for simple Lie algebras. J. Algebra, 631:658–694, 2023. DOI, arXiv, DOI of companion data.

ˆTopological full groups of minimal subshifts and quantifying local embeddings into finite groups (with Henry Bradford). Ergodic Theory Dynam. Systems, 43(5):1492–1510, 2023. DOI, arXiv.

The diameter of products of finite simple groups. Ars Math. Contemp., 22(4), 2022. Article no. #P4.06. DOI, arXiv.

On the Atkinson formula for the ζ function (with Sebastian Zuniga Alterman). J. Math. Anal. Appl., 516(2), 2022. Article no. 126478. DOI, arXiv.

Explicit L2 bounds for the Riemann ζ function (with Harald A. Helfgott and Sebastian Zuniga Alterman). J. Théor. Nombres Bordeaux, 34(1):91–133, 2022. DOI, arXiv.

Arithmetic monodromy in Sp(2n) (with Jitendra Bajpai and Martin Nitsche). arXiv:2209.07402 (submitted). arXiv.

ˆNumber of directions determined by a set in F_q^2 and growth in Aff(F_q). Discrete Comput. Geom., 66(4):1415–1428, 2021. DOI, arXiv.

ˆGrowth estimates and diameter bounds for untwisted classical groups (with Jitendra Bajpai and Harald Andrés Helfgott). arXiv:2110.02942v3 (submitted). arXiv.

ˆSymplectic hypergeometric groups of degree six (with Jitendra Bajpai, Sandip Singh, and Shashank Vikram Singh). J. Algebra, 575:256–273, 2021. DOI, arXiv, DOI of companion data.

ˆOn short expressions for cosets of permutation subgroups. Ann. Comb., 25(2):405–437, 2021. DOI, arXiv.

ˆThe Weisfeiler-Leman algorithm and the diameter of Schreier graphs. Groups Geom. Dyn., 13(4):1235–1253, 2019. DOI, arXiv.

ˆTowards a CFSG-free diameter bound for Alt(n). arXiv:1810.02710v3. arXiv.

ˆNotes on well-distributed minimal sub-BIBDs for λ=1. arXiv:1803.10545 (expository notes). arXiv.

ˆGraph isomorphisms in quasi-polynomial time (with Harald Andrés Helfgott and Jitendra Bajpai). arXiv:1710.04574 (translation). arXiv.