Current focus areas: Arc spaces, jet schemes, deformation theory, (partially) reduced structures of generalized jet schemes, stabilization of deformed motivic volumes, and computational methods.

Journal Articles

• [J.6] Stout, A. (2025). Jet schemes of local complete intersection morphisms. Journal of the London Mathematical Society, accepted, In-press.
• [J.5] Stout, A. (2025). arc.lib: A Singular library for jet schemes with fast partial reduction SoftwareX, Volume 32, 102420.
• [J.4] Stout, A. (2024). Jet schemes over auto-arc spaces and deformations of locally complete intersection varieties. J. Algebra, Volume 659, 361–394.
• [J.3] Stout, A. (2019). The auto Igusa-zeta function of a plane curve singularity is rational. Proc. Amer. Math. Soc., 147(5), 1825–1838.
• [J.2] Stout, A. (2019). Formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function. In Algebraic curves and their applications, 137–147, Contemp. Math., 724, Amer. Math. Soc.
• [J.1] Stout, A. (2017). On the auto Igusa-zeta function of an algebraic curve. J. Symbolic Comput. 79(1), 156–185.

Thesis

• [T.1] Stout, A. (2014). Motivic Integration over Nilpotent Structures. Thesis (Ph.D.) – City University of New York. 179 pp. ISBN: 978-1321-30704-7, ProQuest LLC.

Conference Abstracts

• [A.3] Stout, A. The jet operator: from local to global deformations. AMS Special Session on Integer Partitions, Arc Spaces and Vertex Operators, Joint Mathematics Meeting, San Francisco, CA, United States. Jan. 2024.
• [A.2] Stout, A., Iarmolenko, A., Legaspi, M., Vaiciulis, P. Using the Gini Coefficient to rank AI systems: a case study using Rubik's cube AI solvers. AMS - PME Undergraduate Student Poster Session, Joint Mathematics Meeting, San Francisco, CA, USA. Jan. 2024.
• [A.1] Stout, A. The auto Igusa-zeta function of a plane curve singularity is rational. Special Session on Algebraic Curves and their Applications, Fall Southeastern Sectional Meeting, University of Central Florida, Orlando, FL, USA. Sept. 2017.