2026
63. H. Williams, Geometry-controlled onset of inertial drag in granular impact. Granular Matter (to appear).
62. H. Williams, A. Newman, S. Graham, C. Stephen and G. Morley, A portable LED-based diamond magnetometer for outreach and teaching labs. American Journal of Physics (to appear).
61. H. Williams, Review of An Introduction to Stellarators by Lise-Marie Imbert-Gérard, Elizabeth J. Paul and Adelle M. Wright. Mathematics Today (to appear).
60. H Williams, Force diagrams for tension integrity sculptures. The Physics Teacher (to appear).
59. H. Williams, How a guitar string finds its note: visualizing formation of standing waves. The Physics Teacher (to appear).
58. H. Williams, Symmetry Concepts with Single-move Mechanical Puzzles. The Physics Teacher 64, 220-223 (2026).
57. H. Williams, Surviving a Syrup Tsunami. The Physics Teacher 64, 13-15 (2026).
2025
56. H. Williams, Beam Bending as a Simplified Boundary Value Problem. The Physics Teacher 63, 673-675 (2025).
55. H. Williams and A.M. Algatheem, Formation of ironsand stalactites in a magnetic field. European Journal of Physics 46, 065803 (2025).
54. A.M. Algatheem, H. Williams and V. Kirkow, β-plane magnetohydrodynamic instability in the Kolmogorov flow. Physics of Fluids 37, 104107 (2025).
53. H. Williams, LabDA: A Python GUI application for generating scalings with dimensional analysis. SoftwareX 31, 102322 (2025).
52. H. Williams, The Mathematics of Sudoku. Mathematics Today 61, 5 (2025).
51. H. Williams, A trick with the gamma function. The Mathematical Gazette 109, 575: 342-344 (2025).
50. H. Williams, The storm glass thermometer: temperature dependence of camphor crystal formation in ethanol. Journal of Chemical Education 102, 6: 2540-2542 (2025).
49. H. Williams, Separation of Variables for Boundary Problems. Mathematics Today 61, 4 (2025) .
48. H. Williams and A.M. Algatheem, Review of Algorithmic Mathematics in Machine Learning by Bastian Bohn, Jochen Garcke and Michael Griebel. SIAM Review 67 (2), 406-408 (2025).
2024
47. H. Williams, Lorentz-violating pseudovectors in effective field theories for quantum gravity. Acta Physica Polonica B 55, 11-A3 (2024).
46. H. Williams, Physics of Brittle Failure during Impact. The Physics Teacher 62, 575-578 (2024).
45. H. Williams, Review of A Gentle Introduction to Homological Mirror Symmetry by Raf Bocklandt. Mathematics Today 60, 5 (2024).
44. H. Williams, Dynamics of the Spinning Javelin Throw. Mathematics Today 60, 4 (2024).
43. H. Williams, How to levitate a lightbulb. Physics Education 59, 045040 (2024).
42. H. Williams, Maximal submergence in dense granular suspensions. European Journal of Physics 45, 035801 (2024).
41. H. Williams, How to win Baba is You. Mathematics Today 60, 1 (2024).
40. H. Williams, A ``Perpetual Motion Machine'' Powered by Electromagnetism. The Physics Teacher 62, 47 (2024).
39. H. Williams, Dynamics of the flip long jump. Physics Education 59, 015027 (2024).
2023
38. H. Williams, An elementary approach to simulating the perihelion of Mercury. European Journal of Physics 44, 065602 (2023).
37. H. Williams, Revisiting a Classic Magic Trick with Rayleigh-Taylor Instabilities. The Physics Teacher 61, 621 (2023).
36. H. Williams, Many Worlds and the Vacuum Energy Problem. Reports in Advances of Physical Sciences 7, 2350004 (2023).
35. H. Williams, A survey of Riemann-Roch-type theorems. Missouri Journal of Mathematical Sciences 35, 1 (2023).
34. H. Williams, The Mathematics of Mazes. Mathematics Today 59, 2 (2023).
33. H. Williams, Archimedes and the ungula. The Mathematical Gazette 107, 568: 127-128 (2023).
32. H. Williams, Superhydrophobic Sand Repels Water. The Physics Teacher 61, 138 (2023).
31. H. Williams, A compound double pendulum with friction. Forces in Mechanics 10, 100164 (2023).
2022
30. H. Williams, A Simple Classroom Double Pendulum. The Physics Teacher 60, 768 (2022).
29. H. Williams, A PDE proof of the Penrose inequality for perturbations of Schwarzschild initial data. Classical and Quantum Gravity 39, 225001 (2022).
28. H. Williams, J. Sprittles, J. Padrino and P. Denissenko, Effect of ambient gas on cavity formation for sphere impacts on liquids. Physical Review Fluids 7, 094003 (2022) [Editor's Suggestion].
27. N. Manousakas, M. Salauddin, J. Pearson, P. Denissenko, H. Williams and S. Abolfathi, Effects of Seagrass Vegetation on Wave Runup Reduction: A Laboratory Study. IOP Conference Series: Earth and Environmental Science 1072, 012004 (2022).
26. H. Williams, A High-speed Test of the Equivalence Principle. The Physics Teacher 60, 594 (2022).
25. H. Williams, Neumann and Dirichlet boundary conditions for the one-dimensional wave equation. Physics Education 57, 055028 (2022).
24. H. Williams, Gravity-driven granular flows in pipes: teaching experimental skills in the context of granular flows. Physics Education 57, 055024 (2022).
23. H. Williams, A case study of optical methods for measuring thickness of liquid sheets. Results in Optics 8, 100266 (2022).
22. H. Williams, Air flow over a flapping bird's wing at low Reynolds numbers: discussions in a teaching demonstration. European Journal of Physics 43, 055801 (2022).
21. H. Williams, Nuclear Fusion and Fast Computing. Mathematics Today 58, 3 (2022).
20. H. Williams, A formula for rolling resistance coefficients of cylinders. Academia Letters 5142 (2022) [In top 2% most downloaded articles]..
19. H. Williams, Causality relations and hidden variable theories for the Mermin-Peres square. Physics Letters A 430, 127984 (2022).
18. H. Williams, Comparison of forces for the Crookes and Hettner radiometers. Physics Education 57, 025022 (2022).
17. H. Williams, Measuring Young's modulus with a tensile tester. Physics Education 57, 025016 (2022) [In top 10 most downloaded articles].
16. H. Williams, Methane Molecules and Symmetry. Mathematics Today 58, 1 (2022).
15. H. Williams, Influence of curved surface roughness on white light interferometer microscopy. Physics Education 57, 015001 (2022).
2021
14. H. Williams, A Jang Equation Approach to the Penrose Inequality for Perturbations of Schwarzschild Spacetime. Acta Physica Polonica B 52, 1461 (2021).
13. H. Williams, Review of Relativistic Fluid Dynamics In and Out of Equilibrium by Paul Romatschke and Ulrike Romatschke. Mathematics Today 57, 6 (2021).
12. H. Williams, Celebrating Simple Mathematical Models. Chalkdust 14 (2021).
11. H. Williams, Vessel Drainage under the Influence of Gravity. The Physics Teacher 59, 629 (2021).
10. H. Williams, SEM for conductive and non-conductive specimens. Physics Education 56, 055034 (2021).
9. H. Williams, Out with the Bathwater. Mathematics Today 57, 4 (2021).
8. H. Williams, New exact solutions for microscale gas flows. Journal of Engineering Mathematics 128, 10 (2021).
7. H. Williams, Rumble in the Concrete Jungle: Optimal Spacing of Rumble Strips approaching Roundabouts. Mathematics Today 57, 3 (2021).
6. H. Williams, A Note on the Method of Fundamental Solutions. Academia Letters 745 (2021) [In top 2% most downloaded articles]..
5. H. Williams, Review of Representations of Finite Groups of Lie Type by Francois Digne and Jean Michel. Mathematics Today 57, 1 (2021).
2020
4. H. Williams, Superpositions of unitary operators in quantum mechanics. IOP SciNotes 1, 035204 (2020).
3. H. Williams, Review of Derived Categories by Amnon Yekutieli. Mathematics Today 56, 6 (2020).
2. H. Williams, Search for the H to W+W- Process at the LHeC Experiment. Acta Physica Polonica B 51, 1811 (2020).
1. H. Williams, Solitary waves on falling liquid films in the low Reynolds number regime. IOP SciNotes 1, 025209 (2020).