Contact Information
304 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Interests
Prime number theory, divisor theory, random permutations, arithmetic functions, probabilistic number theory, comparative prime number theory, sieve theory, Riemann zeta function.
Additional Campus Affiliations
Professor, Mathematics
External Links
I am an editor of Research in Number Theory (https://www.springer.com/journal/40993).
I am an editor of the Bulletin and Journal of the London Mathematical Society (https://www.lms.ac.uk/publications/jlms)
Recent Publications
Ford, K., Koukoulopoulos, D., & Tao, T. (2024). A lower bound on the mean value of the Erdős–Hooley Delta function. Proceedings of the London Mathematical Society, 129(1), Article e12618. https://doi.org/10.1112/plms.12618
Ford, K. (2024). Zero-free Regions for the Riemann Zeta Function. In Number Theory for the Millennium II: Volume 2 (Vol. 2, pp. 25-56). CRC Press. https://doi.org/10.1201/9780138747060-2
Banks, W., Ford, K., & Tao, T. (2023). Large prime gaps and probabilistic models. Inventiones Mathematicae, 233(3), 1471-1518. https://doi.org/10.1007/s00222-023-01199-0
Ford, K., Green, B., & Koukoulopoulos, D. (2023). Equal sums in random sets and the concentration of divisors. Inventiones Mathematicae, 232(3), 1027-1160. https://doi.org/10.1007/s00222-022-01177-y
Ford, K. (2022). Cycle Type of Random Permutations: a Toolkit. Discrete Analysis, 2022, Article 9. https://doi.org/10.19086/da.38090