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2026

Other Outputs

Maximal inequalities and the decay of Fourier transforms of measures

Harris, Terence L. J. (2026). Maximal inequalities and the decay of Fourier transforms of measures. doi: 10.48550/arXiv.2603.21474

Maximal inequalities and the decay of Fourier transforms of measures

2025

Other Outputs

Incidence bounds related to circular Furstenberg sets

Green, John, Harris, Terence L. J., Ou, Yumeng, Ren, Kevin and Tammen, Sarah (2025). Incidence bounds related to circular Furstenberg sets. doi: 10.48550/arXiv.2502.10686

Incidence bounds related to circular Furstenberg sets

2025

Journal Article

Vertical projections in the Heisenberg group for sets of dimension greater than three

Harris, Terence L. J. (2025). Vertical projections in the Heisenberg group for sets of dimension greater than three. Indiana University Mathematics Journal, 74 (3), 759-784. doi: 10.1512/iumj.2025.74.60272

Vertical projections in the Heisenberg group for sets of dimension greater than three

2024

Other Outputs

Exceptional sets for length under restricted families of projections onto lines in R3

Harris, Terence L. J. (2024). Exceptional sets for length under restricted families of projections onto lines in R3. doi: 10.48550/arXiv.2408.04885

Exceptional sets for length under restricted families of projections onto lines in R3

2024

Other Outputs

Packing dimension of vertical projections in the Heisenberg group

Harris, Terence L. J. (2024). Packing dimension of vertical projections in the Heisenberg group. doi: 10.48550/arXiv.2407.11475

Packing dimension of vertical projections in the Heisenberg group

2024

Other Outputs

An L3/2 SL2 Kakeya maximal inequality

Green, John, Harris, Terence L. J. and Ou, Yumeng (2024). An L3/2 SL2 Kakeya maximal inequality.

An L3/2 SL2 Kakeya maximal inequality

2024

Journal Article

Length of sets under restricted families of projections onto lines

Harris, Terence L. J. (2024). Length of sets under restricted families of projections onto lines. Contemporary Mathematics, 792. doi: 10.1090/conm/792/15892

Length of sets under restricted families of projections onto lines

2023

Journal Article

A Euclidean Fourier‐analytic approach to vertical projections in the Heisenberg group

Harris, Terence L. J. (2023). A Euclidean Fourier‐analytic approach to vertical projections in the Heisenberg group. Bulletin of the London Mathematical Society, 55 (2), 961-977. doi: 10.1112/blms.12770

A Euclidean Fourier‐analytic approach to vertical projections in the Heisenberg group

2022

Journal Article

Improved bounds for restricted projection families via weighted Fourier restriction

Harris, Terence L. J. (2022). Improved bounds for restricted projection families via weighted Fourier restriction. Analysis and PDE, 15 (7), 1655-1701. doi: 10.2140/apde.2022.15.1655

Improved bounds for restricted projection families via weighted Fourier restriction

2022

Journal Article

Restricted families of projections onto planes: the general case of nonvanishing geodesic curvature

Harris, Terence L. J. (2022). Restricted families of projections onto planes: the general case of nonvanishing geodesic curvature. Revista Matematica Iberoamericana, 39 (5), 1863-1894. doi: 10.4171/rmi/1387

Restricted families of projections onto planes: the general case of nonvanishing geodesic curvature

2022

Other Outputs

On restricted projections to planes in R3

Gan, Shengwen, Guo, Shaoming, Guth, Larry, Harris, Terence L. J., Maldague, Dominique and Wang, Hong (2022). On restricted projections to planes in R3. doi: 10.48550/arXiv.2207.13844

On restricted projections to planes in R3

2022

Journal Article

On the Fourier dimension of (d, k)-sets and Kakeya sets with restricted directions

Fraser, Jonathan M., Harris, Terence L. J. and Kroon, Nicholas G. (2022). On the Fourier dimension of (d, k)-sets and Kakeya sets with restricted directions. Mathematische Zeitschrift, 301 (3), 2497-2508. doi: 10.1007/s00209-022-02971-3

On the Fourier dimension of (d, k)-sets and Kakeya sets with restricted directions

2021

Journal Article

Low-dimensional pinned distance sets via spherical averages

Harris, Terence L. J. (2021). Low-dimensional pinned distance sets via spherical averages. Journal of Geometric Analysis, 31 (11), 11410-11416. doi: 10.1007/s12220-021-00686-1

Low-dimensional pinned distance sets via spherical averages

2021

Journal Article

Dimension distortion by right coset projections in the Heisenberg group

Harris, Terence L. J., Huynh, Chi N. Y. and Román-García, Fernando (2021). Dimension distortion by right coset projections in the Heisenberg group. Journal of Fractal Geometry, 8 (4), 305-346. doi: 10.4171/jfg/106

Dimension distortion by right coset projections in the Heisenberg group

2020

Journal Article

Fourier decay of fractal measures on hyperboloids

Barron, Alex, Erdoğan, M. Burak and Harris, Terence L. J. (2020). Fourier decay of fractal measures on hyperboloids. Transactions of the American Mathematical Society, 374 (2), 1041-1075. doi: 10.1090/tran/8283

Fourier decay of fractal measures on hyperboloids

2020

Journal Article

An a.e. lower bound for Hausdorff dimension under vertical projections in the Heisenberg group

Harris, Terence L. J. (2020). An a.e. lower bound for Hausdorff dimension under vertical projections in the Heisenberg group. Annales Academiae Scientiarum Fennicae Mathematica, 45 (2), 723-737. doi: 10.5186/aasfm.2020.4529

An a.e. lower bound for Hausdorff dimension under vertical projections in the Heisenberg group

2019

Journal Article

Improved decay of conical averages of the Fourier transform

Harris, Terence (2019). Improved decay of conical averages of the Fourier transform. Proceedings of the American Mathematical Society, 147 (11), 4781-4796. doi: 10.1090/proc/14747

Improved decay of conical averages of the Fourier transform

2018

Journal Article

Upper semicontinuity of the lamination hull

Harris, Terence L.J. (2018). Upper semicontinuity of the lamination hull. ESAIM: Control, Optimisation and Calculus of Variations, 24 (4), 1503-1510. doi: 10.1051/cocv/2017033

Upper semicontinuity of the lamination hull

2018

Journal Article

Two-by-two upper triangular matrices and Morrey’s conjecture

Harris, Terence L. J., Kirchheim, Bernd and Lin, Chun-Chi (2018). Two-by-two upper triangular matrices and Morrey’s conjecture. Calculus of Variations and Partial Differential Equations, 57 (3) 73. doi: 10.1007/s00526-018-1360-8

Two-by-two upper triangular matrices and Morrey’s conjecture