Staff profile
Overview
https://internal.durham.ac.uk/images/profiles/2057/Maths2022-01Mangerel.jpg
Alexander Mangerel
Assistant Professor, Number Theory
Ph.D (U. Toronto)

Affiliation | Room number | Telephone |
---|---|---|
Assistant Professor, Number Theory in the Department of Mathematical Sciences | MCS3115 | +44 (0) 191 33 43102 |
Research interests
- Probability Theory
- Additive combinatorics
- Modular forms
- Analytic Number Theory
Research groups
- Pure Mathematics: Analysis
Publications
Journal Article
- Klurman, Oleksiy, Mangerel, Alexander, Pohoata, Cosmin & Teräväinen, Joni (Accepted). Multiplicative functions that are close to their mean. Transactions of the American Mathematical Society
- Mangerel, Alexander P. (2023). Divisor-bounded multiplicative functions in short intervals. Research in the Mathematical Sciences 10(12).
- Gorodetsky, Ofir, Mangerel, Alexander & Rodgers, Brad (2023). Squarefrees are Gaussian in short intervals. Journal für die reine und angewandte Mathematik (Crelles Journal) 2023(795): 1-44.
- Klurman, Oleksiy, Mangerel, Alexander P. & Teräväinen, Joni (2023). Correlations of multiplicative functions in function fields. Mathematika 69(1): 155-231.
- Mangerel, Alexander P. (2022). Additive functions in short intervals, gaps and a conjecture of Erdős. The Ramanujan Journal 59(4): 1023–1090.
- Lamzouri, Youness & Mangerel, Alexander P. (2022). Large odd order character sums and improvements of the P\'olya-Vinogradov inequality. Transactions of the American Mathematical Society 375: 3759-3793.
- Mangerel, Alexander P. (2021). Squarefree Integers in Arithmetic Progressions to Smooth Moduli. Forum of Mathematics, Sigma 9: e72.
- Klurman, Oleksiy & Mangerel, Alexander P. (2020). On the orbits of multiplicative pairs. Algebra & Number Theory 14(1): 155.
- MANGEREL, ALEXANDER P. (2020). On the bivariate Erdős–Kac theorem and correlations of the Möbius function. Mathematical Proceedings of the Cambridge Philosophical Society 169(3): 547.
- Mangerel, Alexander P (2020). Short Character Sums and the Pólya–Vinogradov Inequality. The Quarterly Journal of Mathematics 71(4): 1281.
- Klurman, Oleksiy & Mangerel, Alexander P. (2018). Rigidity theorems for multiplicative functions. Mathematische Annalen 372(1-2): 651.
Supervision students
Yichen You
1P