Renato Fassbind, the current post holder, has announced he will stand down after six years.
Mr Mathers is currently the bankâs chief operating officer as well as head of finance for the investment banking division.
He has previously worked as head of European Equity Research and global head of a similar department at HSBC.
Brady W Dougan, chief executive officer at Credit Suisse, said: âRenato Fassbind has made a significant contribution to the success of Credit Suisse. His expertise and leadership have helped the bank navigate an extremely challenging period and emerge stronger.â
Hans-Ulrich Doerig, chairman of the Board of Directors, added that Credit Suisse was delighted to be welcoming Mr Mathers into the role.
âDavid has done a tremendous job in helping to shape and implement the Investment Banking Divisionâs client-focused, capital-efficient strategy as chief operating officer and head of finance.â
The departing banker is expected to remain with Credit Suisse as a senior adviser.
By Jim Ottewill