Stock-Based Compensation - Stock option activity (Details) - USD ($)	3 Months Ended		6 Months Ended
	Mar. 31, 2024	Mar. 31, 2023	Mar. 31, 2024	Mar. 31, 2023
Weighted Average Remaining Contractual Term (Years)
Stock-based compensation expense	$ 1,310,507	$ 1,383,405	$ 2,583,118	$ 2,775,798
Employee Stock Option [Member]
Number of Shares
Balance, Beginning (in shares)			1,197,774
Granted (in shares)			799,729
Forfeited (in shares)			29,605
Expired (in shares)			8,333
Balance, Ending (in shares)	1,959,565		1,959,565
Exercisable (in shares)	875,865		875,865
Vested and expected to vest (in shares)	1,959,565		1,959,565
Weighted Average Exercise Price
Balance, Beginning (in dollars per share)			$ 28.72
Granted (in dollars per share)			6.70
Forfeited (in dollars per share)			27.93
Expired (in dollars per share)			33.60
Balance, Ending (in dollars per share)	$ 19.72		19.72
Exercisable (in dollars per share)	27.62		27.62
Vested and expected to vest (in dollars per share)	$ 19.72		$ 19.72
Weighted Average Remaining Contractual Term (Years)
Balance-Remaining contractual term			8 years 2 months 12 days
Vested and exercisable -Remaining contractual term			7 years
Vested and expected to vest-Remaining contractual term			8 years 2 months 12 days
Aggregate intrinsic value, Outstanding	$ 4,219,550		$ 4,219,550
Aggregate intrinsic value, Vested and exercisable	383,313		383,313
Aggregate intrinsic value, Vested and expected to vest	$ 4,219,550		$ 4,219,550
Grant date fair value of options (in dollars per share)			$ 6.06	$ 19.20
Performance-based stock options
Number of Shares
Balance, Beginning (in shares)			35,000
Granted (in shares)			634,000
Balance, Ending (in shares)	669,000		669,000
Vested and exercisable (in shares)	35,000		35,000
Vested and expected to vest (in shares)	669,000		669,000
Weighted Average Exercise Price
Balance, Beginning (in dollars per share)			$ 28.80
Granted (in dollars per share)			6.78
Balance, Ending (in dollars per share)	$ 7.93		7.93
Vested and exercisable (in dollars per share)	28.80		28.80
Vested and expected to vest (in dollars per share)	$ 7.93		$ 7.93
Weighted Average Remaining Contractual Term (Years)
Balance-Remaining contractual term			9 years 10 months 24 days
Vested and exercisable -Remaining contractual term			7 years 8 months 12 days
Vested and expected to vest-Remaining contractual term			9 years 10 months 24 days
Aggregate intrinsic value, Outstanding	$ 3,271,440		$ 3,271,440
Aggregate intrinsic value, Vested and expected to vest	$ 3,271,440		$ 3,271,440
Term of award			10 years
Grant date fair value of options (in dollars per share)				$ 6.52