Variable Interest Entities - Total Assets and Total Liabilities of TS Hamilton Fund (Details) - USD ($) $ in Thousands	Sep. 30, 2023	Dec. 31, 2022
Assets
Cash and cash equivalents	$ 804,548	$ 1,076,420
Short-term investments	1,980,439	1,545,587
Investments in Two Sigma Funds, at fair value	979,986	740,736
Receivables for investments sold	19,044	371
Total assets	6,504,604	5,818,965
Liabilities
Accounts payable and accrued expenses	159,681	138,050
Payables for investments purchased	117,836	48,095
Total liabilities	4,704,750	4,154,663
Redemption payable	0	145,700
Short-term investments
Assets
Short-term investments	348,968	286,111
TS Hamilton Fund
Assets
Cash and cash equivalents	450,759	800,239
Investments in Two Sigma Funds, at fair value	979,986	740,736
Receivables for investments sold	12,730	0
Interest and dividends receivable	804	2,076
Total assets	1,792,066	1,807,155
Liabilities
Accounts payable and accrued expenses	254	291
Withdrawal payable	9,060	145,738
Payables for investments purchased	86,933	48,095
Total liabilities	96,247	194,124
Total net assets managed by TS Hamilton Fund	1,695,819	1,613,031
TS Hamilton Fund | Short-term investments
Assets
Short-term investments	$ 347,787	$ 264,104