This project would not have been possible with the generous support of numerous people. In particular, the authors would like to thank the following individuals and institutions for their helpful conversations and support:

• Lawrence Ein — Department of Mathematics, University of Illinois - Chicago.
• David Eisenbud — Department of Mathematics, University of California - Berkeley.
• Rob Lazarsfeld — Department of Mathematics, Stony Brooke University.
• Claudiu Raicu — Department of Mathematics, University of Notre Dame.
• Michael Saunders — Dept. of Management Science and Engineering, Stanford University.
• Frank-Olaf Schreyer — Department of Mathematics, Universität des Saarlandes.
• Mike Stillman — Department of Mathematics, Cornel University.
• Stephen J. Wright — Wisconsin Institute for Discovery, University of Wisconsin.
• Center for High Throughput Computing — University of Wisconsin
• Department of Mathematics — University of Wisconsin.
• HTCondor — Department of Comupter Science, University of Wisconsin.

Finally, the authors were partially supported by the following grants during this project:

• Juliette Bruce was partially supported by the NSF GRFP under Grant No. DGE-1256259; as well as the Graduate School and the Office of the Vice Chancellor for Research and Graduate Education at the University of Wisconsin-Madison with funding from the Wisconsin Alumni Research Foundation.


• Daniel Erman was partially supported by NSF grant DMS-1601619.


• Jay Yang was partially supported by NSF grant DMS-1502553.