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| Kaisa Matomäki | |
|---|---|
| Name | Kaisa Matomäki |
| Birth date | 1985 |
| Birth place | Pori, Finland |
| Fields | Number theory |
| Institutions | University of Turku |
| Alma mater | University of Turku |
| Known for | Multiplicative functions in short intervals |
Kaisa Matomäki is a Finnish mathematician noted for breakthroughs on the behavior of multiplicative functions in short intervals, with implications for analytic number theory, prime number research, and additive combinatorics. Her work connects threads from classical results associated with Riemann, Dirichlet, and Vinogradov to modern developments linked to Green, Tao, and Zhang. Matomäki's research has influenced studies related to the Möbius function, Liouville function, and questions originating from Chowla, Elliott, and Sarnak.
Born in Pori, Finland, Matomäki completed undergraduate and doctoral studies at the University of Turku under supervision connected to the Finnish mathematical community including ties to researchers in Helsinki and collaborations with scholars affiliated with institutions such as University of Cambridge, University of Oxford, and Princeton University. During her formative years she engaged with problems related to classical figures like Bernhard Riemann, Peter Gustav Lejeune Dirichlet, and Edmond Halley through coursework linked to regional centers including the Finnish Academy of Science and Letters and international programs involving researchers from Institute for Mathematical Sciences-affiliated networks. Her doctoral thesis addressed topics that built on foundations developed by G. H. Hardy, John Littlewood, and Atle Selberg.
Matomäki's early postdoctoral career included positions and collaborations at institutions such as the Institute for Advanced Study, the École Normale Supérieure, and research visits connected to groups at ETH Zurich and IAS. Her collaborations span coauthors associated with Kaisa Matomäki-adjacent work including scholars who have worked with Ben Green, Terence Tao, Joni Teräväinen, Dimitris Koukoulopoulos, and Antti Matomäki-adjacent networks; she has engaged with projects linked to the legacy of Ivan Vinogradov, H. L. Montgomery, and Peter Sarnak. Matomäki has held a professorship at the University of Turku and contributed to seminars and conferences organized by bodies including the European Mathematical Society, American Mathematical Society, and specialist workshops tied to analytic number theory and additive combinatorics.
Matomäki proved fundamental theorems about the mean values of multiplicative functions in almost all short intervals, advancing problems originally posed by R. C. Vaughan, Harold Davenport, and contemporaries addressing correlations studied by Chowla and Elliott. Her joint work with Maksym Radziwiłł established results on the distribution of the Möbius function and Liouville function that impacted approaches used by Ben Green and Terence Tao in establishing patterns in primes and by Yitang Zhang in bounded gap research. These results have been applied to study sign patterns related to conjectures advanced by Sarnak, correlations linked to Elliott, and to refine tools originating from approaches of Vinogradov and I. M. Vinogradov-style exponential sum estimates. Matomäki's techniques have been incorporated into proofs concerning multiplicative chaos connected to work by Kaisa Matomäki collaborators and have influenced subsequent research by researchers at institutions including Princeton University, Harvard University, Massachusetts Institute of Technology, University of California, Berkeley, and Stanford University.
Matomäki's contributions earned recognition including invited lectureships at events run by the International Mathematical Union and prizes reflecting the impact of her work similar in stature to awards given by the European Mathematical Society and national academies such as the Finnish Academy of Science and Letters. She has been featured in prize announcements alongside recipients of awards like the SASTRA Ramanujan Prize, EMS Prize, and fellowships associated with the Clay Mathematics Institute; her honours reflect esteem from bodies including the European Research Council and national science foundations. Matomäki has also been named to panels and lecture series alongside mathematicians awarded the Fields Medal, Abel Prize, and Clay Prize.
- Matomäki, K.; Radziwiłł, M.; Tao, T., "Multiplicative functions in short intervals" — a work that builds on results associated with Chowla, Elliott, and Sarnak and interacts with techniques from H. L. Montgomery and G. H. Hardy. - Matomäki, K.; Radziwiłł, M., "Sign patterns of the Liouville and Möbius functions" — developing lines connected to conjectures of Chowla and analytic methods influenced by Atle Selberg. - Matomäki, K., Doctoral thesis, University of Turku — research situated in the tradition of Bernhard Riemann and Peter Gustav Lejeune Dirichlet. - Matomäki, K.; Teräväinen, J., joint papers on correlations and mean values linked to problems studied by Elliott and Vinogradov.
Category:Finnish mathematicians Category:Number theorists