University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
The structure of correlations of multiplicative functions at almost all
scales, with applications to the Chowla and Elliott conjectures
Algebra and Number Theory (7 December 2019) Full text available
Value patterns of multiplicative functions and related sequences
Forum of Mathematics, Sigma (26 September 2019) Full text available
The structure of logarithmically averaged correlations of multiplicative
functions, with applications to the Chowla and Elliott conjectures
Duke Math. J. , 168(11), 1977-2027, 2019. (23 July 2019) Full text available
Odd order cases of the logarithmically averaged Chowla conjecture
Journal de théorie des nombres de Bordeaux (19 April 2019)
On binary correlations of multiplicative functions
Forum Math. Sigma volume 6 page e10-e10 (28 June 2018) Full text available
The Goldbach Problem for Primes That Are Sums of Two Squares Plus One
Mathematika volume 64 page 20-70 (25 January 2018) Full text available
Multiplicative functions that are close to their mean
Full text available
Multiplicative functions in short arithmetic progressions
Full text available
My research is in the fields of analytic number theory and additive combinatorics, with particular focus on the theory of multiplicative functions, applications of sieve methods, and additive problems for the primes.
Class Tutor for C3.8 (Analytic Number Theory), Michaelmas 2019
Revision classes for C3.8 (Analytic Number Theory), Trinity 2019
Class Tutor for B3.4 (Algebraic Number Theory), Hilary 2019
Class Tutor for C3.8 (Analytic Number Theory), Michaelmas 2018
Class Tutor for C8.3 (Combinatorics), Michaelmas 2018
Major / recent publications:
On the Möbius function in all short intervals.
Matomäki, K., Teräväinen, J.
Multiplicative functions that are close to their mean.
Klurman, O.; Mangerel, A. P.; Pohoata, C., Teräväinen, J.
Multiplicative functions in short arithmetic progressions.
Klurman, O.; Mangerel, A. P.; Teräväinen, J.
Value patterns of multiplicative functions and related sequences.
Tao, T.; Teräväinen, J.