Colin Crowley

Papers

• The geometry of zonotopal algebras II: Orlik-Terao algebras and Schubert varieties, with Nicholas Proudfoot. https://pages.uoregon.edu/njp/ot-iz.pdf.

• The geometry of zonotopal algebras I: cohomology of graphical configuration spaces, with Galen Dorpalen-Barry,  André Henriques, and Nicholas Proudfoot. https://arxiv.org/abs/2502.12768. 

• Toric varieties modulo reflections, with Tao Gong and Connor Simpson. https://arxiv.org/abs/2410.14653

• Polymatroid Schubert varieties, with Connor Simpson and Botong Wang. https://arxiv.org/abs/2410.10552

• Hyperplane arrangements and compactifications of vector groups. http://arxiv.org/abs/2209.00052

• The Bergman fan of a polymatroid, with June Huh, Matt Larson, Connor Simpson, and Botong Wang. http://arxiv.org/abs/2207.08764.

• Regeneration Trees for Polynomial System Solving, with Jose Israel Rodriguez, Jacob Weiker,  and Jacob Zoromski. https://arxiv.org/abs/1912.04394.

• A Module-Theoretic Approach to Matroids. With Noah Giansiracusa, and Joshua Mundinger. arXiv: 1712.03440

Conferences and Summer Schools

• Combinatorial, computational, and applied algebraic geometry. Seattle WA. June 2022.

• Tropical Geometry -- MSRI Summer School. Moragan, CA. August 2022.

• Open Problems in Algebraic Combinatorics. Minneapolis, MN. May 2022.

• GradMoCCA: A graduate meeting on combinatorial commutative algebra. Minneapolis, MN. May 2022.

• CA+ . Ames, IA. April, 2022.

• CA+. Minneapolis, MN. October, 2021.

• Arrangements at home. Virtual, 2020. 

• SIAM Conference on Applied Algebraic Geometry (AG19). University of Bern, Switzerland. July 2019.

• Summer School on Randomness and Learning in Non-Linear Algebra. Max Planck Institute for Mathematics in the Sciences, Leipzig. July 2019. 

• Meeting on Applied Algebraic Geometry. Georgia Tech, Atlanta GA. April 2019. 

• Midwest Algebraic Geometry Graduate Conference. University of Illinois at Chicago. March 2019.

Talks and Presentations

• Introduction to Tropicalization Talk at UW Madison Graduate Algebraic Geometry Seminar. March 2022.

• Introduction to Geometric invariant theory. Talk at UW Madison Graduate Algebraic Geometry Seminar. November 2021.

• Introduction to Newton–Okounkov bodies. Talk at UW Madison Graduate Algebraic Geometry Seminar. February 2021.

• Lefschetz hyperplane section theorem via Morse theory. Talk at  UW Madison Graduate Algebraic Geometry Seminar. January 2020.

• "Matroid Bingo". A short introductory talk about matroids at the UW Madison AMS chapter seminar. November 2019

• Hyperplane arrangements and maximum likelihood degree. Talk at UW Madison Matroids Seminar and Reading Group. December 2019.

• A Module-Theoretic Approach to Matroids. Poster presentation at SIAM Conference on Applied Algebraic Geometry (AG19). July 2019.

• Exposition of Riemann-Roch and Abel-Jacobi theory on a finite graph. Talk at the UW Madison Graduate Algebraic Geometry Seminar. April 2019.

• Matroids and coding theory. Talk at the UW Madison Matroids Seminar and Reading Group. March 2019.

• Matroid Polytopes. Talk at the UW Madison Matroids Seminar and Reading Group. February 2019.

Teaching and Mentoring

• I was the graduate mentor for the Collaborative Undergraduate Research Lab (CURL).

• I was an organizer for Madison Math Circles, an outreach program organized by the UW Math Department.