QuickLinks -- Click here to rapidly navigate through this documentExhibit 23.1
CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM
We consent to the use in this Registration Statement on Form S-3 of Ascent Solar Technologies, Inc. of our report dated March 13, 2008, relating to our audits of the financial statements for the years ended December 31, 2007 and 2006 and the periods from inception (October 18, 2005) through December 31, 2007, appearing in the prospectus which is part of this Registration Statement.
We also consent to the references to our firm under the caption "Experts" in such Prospectus.
HEIN & ASSOCIATES LLP
Denver, Colorado
March 13, 2008
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CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM