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Condensed Consolidated Statements of Cash Flows (Unaudited) - USD ($)
 6 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Cash flows from operating activities:    
Net loss $ (10,177,123) $ (12,140,285)
Adjustments to reconcile net loss to cash used in operating activities:    
Depreciation expense 1,598
Stock-based compensation expense 294,313 786,971
Non-cash interest expense 33,886 63,765
Non-cash loss (gain) on change in fair value of warrant liability (26,257) 3,166,474
Amortization of premium (discount) on marketable investment securities 203,958 (9,755)
Changes in operating assets and liabilities:    
Accrued interest income (232,177) 8,603
Prepaid and other current assets 378,078 398,579
Accounts payable (690,744) (275,415)
Accrued expenses (208,990) 543,955
Litigation settlement liability 4,000,000
Cash used in operating activities (6,425,056) (7,455,510)
Cash flows from investing activities:    
Purchases of marketable investment securities (35,876,211) (4,466,811)
Maturities of marketable investment securities 450,000 4,350,000
Cash used in investing activities (35,426,211) (116,811)
Cash flows from financing activities:    
Debt repayments (1,666,667) (1,111,111)
Proceeds from debt 233,537
Net proceeds from common stock offering 26,840,457 5,653,140
Net proceeds from (costs associated with) ATM 3,416,115 (8,108)
Proceeds from stock option exercises 6,693
Net proceeds from exercise of warrants 5,000 6,914,158
Cash provided by financing activities 28,601,598 11,681,616
Net increase (decrease) in cash, cash equivalents, and restricted cash (13,249,669) 4,109,295
Cash, cash equivalents, and restricted cash at beginning of period 24,217,382 14,728,523
Cash, cash equivalents, and restricted cash at end of period 10,967,713 18,837,818
Supplemental disclosure of cash flow information:    
Interest paid 92,515 156,979
Income taxes paid 200 200
Supplemental disclosure of non-cash investing and financing activity:    
Settlement of warrant liability on warrant exercises 18,365 5,591,362
Net unrealized loss on available-for-sale securities (186) (66)
Accrued final payment charge on debt 33,886 63,765
Other accrued interest $ 448