---

---

Matt Stamps

---

---

---

About Me	Research	Teaching	Outreach	Contact

---

---

I employ techniques from algebra, geometry, and topology to develop innovative solutions to computationally challenging problems in combinatorics, graph theory, and probability.

My publications and preprints are listed below (organized by topic) and also on Google Scholar.

My current research interests include topological data analysis, graphical models, and causal inference.

---

---

---

Algebraic Graph Theory

• Linear algebraic techniques for spanning tree enumeration (with Steven Klee),
  The American Mathematical Monthly, Vol. 127, No. 4 (2020), 297–307.
• Linear algebraic techniques for weighted spanning tree enumeration (with Steven Klee),
  Linear Algebra and its Applications, Vol. 582 (2019), 391–402.
• Eigenvalues of graph Laplacians via rank-one perturbations (with Steven Klee),
  The Quarterly Journal of Mathematics, Vol. 73, No. 2 (2022), 609–616.
• Spanning tree enumeration and nearly triangular graph Laplacians
  (with Christian Go, Khwa Zhong Xuan, and Xinyu Luo),
  Discrete Applied Mathematics, Vol. 320 (2022), 356–369.

Applied Geometry

• Association and Simpson conversion in 2×2×2 contingency tables (with Svante Linusson),
  Algebraic Statistics, Vol. 12, No. 1 (2021), 57–74.
• Computational geometric tools for quantitative comparison of locomotory behavior
  (with Soo Go and Ajay S. Mathuru), Scientific Reports, Vol. 9, No. 16585 (2019).

Combinatorial Commutative Algebra

• Graded Betti numbers of cycle graphs and standard Young tableaux (with Steven Klee),
  Journal of Combinatorics, Vol. 9, No. 1 (2018), 1–7.
• Betti diagrams from graphs (with Alexander Engström),
  Algebra & Number Theory, Vol. 7, No. 7 (2013), 1725–1742.
• Betti numbers and anti-lecture hall compositions of random threshold graphs,
  (with Alexander Engström and Christian Go),
  Pacific Journal of Mathematics, Vol. 319, No. 1 (2022), 75–98.

Topological Combinatorics

• Face numbers of Engström representations of matroids (with Steven Klee),
  Discrete Mathematics, Vol. 343, No. 1 (2020), 111555.
• Topological representations of matroid maps,
  Journal of Algebraic Combinatorics, Vol. 37, No. 2 (2013), 265–287.
• Topological methods in matroid theory, Doctoral Dissertation, UC Davis, December 2011.

Transportation Optimization

• An evolutionary method for the minimum toll booth problem: the methodology
  (with Lihui Bai, R. Corban Harwood, and Christopher Kollman),
  Journal of Management Information and Decision Sciences, Vol. 11, No. 2 (2008), 33–51.
• A genetic algorithm for the minimum toll booth problem
  (with Lihui Bai, R. Corban Harwood, and Christopher Kollman),
  Annual Proceedings of the Decision Sciences Institute (2006), 30411–30416.

---

---

---