Slides from Talks

Art Duval


(These top files, starting from October 2007, are full-color slideshows.)
Enumerating simplicial spanning trees of shifted and color-shifted complexes, using simplicial effective resistance.
Algebra seminar, New Mexico State University (online). February 28, 2022.
Enumerating simplicial spanning trees of shifted and color-shifted complexes, using simplicial effective resistance.
AMS Central Sectional Meeting, online (formerly University of Creighton), October 9, 2021.
Counting topologies of holomorphic polynomial fields with simple zeros
31 Semana Nacional de Investigación y Docencia en Matematicás, Universidad de Sonora, May 27, 2021.
What is 00, and who decides, and why does it matter?: The role of definitions in mathematics
STEMERS (STEM Education Research Seminar), Dept. of Teacher Education, UTEP (online). November 13, 2020.
A non-partitionable Cohen-Macaulay simplicial complex
30 Semana Nacional de Investigación y Docencia en Matematicás, Universidad de Sonora, March 2, 2020.
Counting topologies of metric holomorphic polynomial field with simple zeros
AMS Southeastern Sectional Meeting, University of Florida, November 2, 2019.
Counting topologies of metric holomorphic polynomial field with simple zeros
Discrete Geometry and Algebraic Combinatorics Conference, University of Texas Rio Grande Valley, September 25, 2019.
Matroids and statistical dependency
Combinatorics and Geometry seminar, University of Washington, June 5, 2019.
Matroids and statistical dependency
Discrete Math seminar, Texas State University, March 2, 2018.
Weighted enumeration of spanning trees of complete colorful complexes and skeletons of hypercubes
Algebra seminar, Texas State University, March 1, 2018.
Matroids and statistical dependency
CombinaTexas, Texas A&M University, February 11, 2018.
Matroids and statistical dependency
Joint Mathematics Meeting, San Diego, January 12, 2018.
Bioinformatics-themed projects in Discrete Mathematics
Joint Mathematics Meeting, San Diego, January 10, 2018.
Matroids and statistical dependency
AMS Central Sectional Meeting, University of North Texas, September 9, 2017.
A non-partitionable Cohen-Macaulay simplicial complex, and implications for Stanley depth
Mathematical Congress of the Americas (Special Session on Combinatorial Commutative Algebra), McGill University, July 28, 2017.
A non-partitionable Cohen-Macaulay simplicial complex
Mathematical Congress of the Americas (Special Session on Geometry and Combinatorics of Cell Complexes), McGill University, July 27, 2017.
A non-partitionable Cohen-Macaulay simplicial complex
Departmental Colloquium, New Mexico State University, March 16, 2017.
Metric polyhedral complexes
AMS Central Sectional Meeting, University of St. Thomas, October 29, 2016.
A non-partitionable Cohen-Macaulay simplicial complex
Discrete Geometry and Algebraic Combinatorics Conference, University of Texas Rio Grande Valley, May 4, 2016.
A non-partitionable Cohen-Macaulay simplicial complex
Discrete Mathematics Seminar, University of Colorado Denver, March 4, 2016.
A non-partitionable Cohen-Macaulay simplicial complex, and implications for Stanley depth
Southwest Local Algebra Meeting [SLAM], Texas State University, February 28, 2016.
Weighted tree enumeration of cubical complexes
Joint Mathematics Meetings, Seattle, January 9, 2016.
A non-partitionable Cohen-Macaulay simplicial complex
Departmental Colloquium, University of Texas at El Paso, April 24, 2015.
Equivalence relations in mathematics, K-16+
MAA Southwestern Sectional Meeting, El Paso Community College, April 19, 2015.
The surprising similarity of shifted simplicial complexes and matroids
Stanley@70, MIT, June 24, 2014.
Weighted spanning tree enumerators of color-shifted complexes
CombinaTexas, Texas A&M University, April 19, 2014.
Weighted spanning tree enumerators of color-shifted complexes
AMS Central Sectional Meeting, Washington University in St. Louis, October 20, 2013.
Equivalence relations in mathematics, K-16+
AMS Southeastern Sectional Meeting, University of Louisville, October 5, 2013.
Weighted spanning tree enumerators of complete colorful complexes
CombinaTexas, University of Houston-Downtown, April 21, 2013.
Weighted spanning tree enumerators of complete colorful complexes
13th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, New Mexico State University, April 6, 2013.
Weighted spanning tree enumerators of complete colorful complexes
AMS Southeastern Sectional Meeting, University of Mississippi, March 2, 2013.
Max flow min cut in higher dimensions
Joint Mathematics Meetings, San Diego, January 12, 2013.
Max flow min cut in higher dimensions
12th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, University of Texas at El Paso, October 27, 2012.
Cuts and flows in cell complexes
CombinaTexas, Southwestern University, April 22, 2012.
Cuts and flows in cell complexes, I: Topology and vector space bases
AMS Regional Meeting, University of Kansas, March 31, 2012.
Spanning trees and the critical group of simplicial complexes
Mathematics Colloquium, New Mexico State University, October 20, 2011.
Critical groups of simplicial complexes
Formal Power Series and Algebraic Combinatorics, June 17, 2011.
Spanning trees and the critical group of simplicial complexes
Mathematics Seminar, Reed College, April 28, 2011.
The G-Shi arrangement, and its relation to G-parking functions
CombinaTexas, Sam Houston State University, April 16, 2011.
The G-Shi arrangement, and its relation to G-parking functions
9th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, New Mexico State University, April 2, 2011.
The Importance of being Equivalent: The Ubiquity of equivalence relations in mathematics, K-16+
Math Education Seminar, University of Kentucky, March 31, 2011.
Spanning trees and the critical group of simplicial complexes
Discrete CATS Seminar, University of Kentucky, March 30, 2011.
The G-Shi arrangement, and its relation to G-parking functions
Joint Mathematics Meetings, New Orleans, January 8, 2011.
The Critical group of a simplicial complex
AMS Regional Meeting, University of Notre Dame, November 7, 2010.
Variations on a G-theme: The G-Shi arrangement, and its relation to G-parking functions
Mathematics Colloquium, Texas A&M University at Galveston, September 10, 2010.
The Critical group of a simplicial complex
CombinaTexas, Texas State University, April 24, 2010.
Combinatorial Laplacians
Southeast Texas Discrete Math & Applications Workshop, Texas A&M University at Galveston, October 10, 2009.
Spanning trees and Laplacians of cubical complexes
CombinaTexas, University of Houston, April 2009.
Simplicial spanning trees
4th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, November 2008.
Simplicial spanning trees
Discrete Mathematics & Representation Theory Seminar, University of California at Davis, May 2008.
A Simplicial matrix-tree theorem, II. Examples
AMS Regional Meeting, DePaul University, October 2007.

(Note: Every set of "overlays" of these following older talks has been combined into a single slide, and, obviously, hand-drawn colorings and other additions, especially to pictures, are not included.)
Counting weighted simplicial spanning trees of shifted complexes
AMS Regional Meeting, Davidson College, March 2007.
Counting weighted simplicial spanning trees of shifted complexes
CombinaTexas, Texas A&M University, February 2007.
Matroid Steiner complexes are Laplacian integral
AMS Regional Meeting, Bard College, October 2005.
Eigenvalues of combinatorial Laplacians
MAA Regional Meeting, University of Texas at El Paso, April 2005.
A Relative Laplacian Spectral Recursion
CombinaTexas, Texas State University, San Marcos, February 2005.
A Relative Laplacian Spectral Recursion
Richard Stanley 60th Birthday Conference, MIT, June 2004.
Port Complexes and the Laplacian Spectral Recursion
CombinaTexas, Texas A&M University, April 2004.
Shifted Simplicial Complexes and Algebraic Shifting
AMS Regional Meeting, Binghamton University, October 2003.