Subramanian Kumar 2021 [1] found that there is no correlation between vaccination rates and new case rates on a country-wide level, or a county-wide level in the United States.

This tracks with Dr. Vanden Bossche's assessment [2] from March of this year that mass vaccination with prophylactic vaccines will actually prolong and worsen the pandemic due to shedding of infectious variants.

[1] https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8481107/ [2] https://www.geertvandenbossche.org/