Computational Interactions between Algebra, Combinatorics, and Discrete Geometry

February 10 - 14, 2025

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, February 10, 2025

Morning Session

8:00 - 8:55 Check-In/Breakfast (Hosted by IPAM)
8:55 - 9:00 Welcome and Opening Remarks

MODERATOR: Andrés R. Vindas Meléndez

9:00 - 9:50
Galen Dorpalen-Barry (Texas A&M University - College Station)

Yoshinaga's Criteron & the Topology of a Complexified Complement of a Real Arrangement

10:00 - 10:15 Break
10:15 - 11:05 Open Problem Sessions
11:15 - 11:30 Break
11:30 - 12:20
Federico Castillo (Pontificia Universidad Católica de Chile)

Minkowski bases of type cones

12:30 - 2:30 Lunch (on your own)

Afternoon Session

MODERATOR: Andrés R. Vindas Meléndez

2:30 - 3:20
Anton Dochtermann (Texas State University - San Marcos)

Interval complexes, linear resolutions, and spaces of digraph maps
PDF Presentation

3:30 - 4:00 Break
4:00 - 5:15 Lightning Introductions
5:15 - 6:30 Poster Session & Reception (Hosted by IPAM)

Tuesday, February 11, 2025

Morning Session

8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)

MODERATOR: Selvi Kara

9:00 - 9:50
Ayah Almousa (University of South Carolina)

Stirling numbers and Koszul algebras with symmetry

10:00 - 10:15 Break
10:15 - 11:05
11:15 - 11:30 Break
11:30 - 12:20
12:30 - 2:30 Lunch (on your own)

Afternoon Session

MODERATOR: Selvi Kara

2:30 - 3:20
Bennet Goeckner (University of San Diego)

Vertex order shellings

3:30 - 4:00 Break
4:00 - 5:00 Collaboration Time

Wednesday, February 12, 2025

Morning Session

8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)

MODERATOR: Andrés R. Vindas Meléndez

9:00 - 9:50
10:00 - 10:15 Break
10:15 - 11:05
11:15 - 11:30 Break
11:30 - 12:20
Luis Ferroni (Institute for Advanced Study)

The polytope of all matroids.

12:30 Group Photo
12:30 - 2:30 Lunch (on your own)

Afternoon Session

MODERATOR: Andrés R. Vindas Meléndez

2:30 - 3:20
Sonja Petrovic (Illinois Institute of Technology)

Probability and Randomness in Nonlinear Algebra

3:30 - 4:00 Break
4:00 - 5:00
Colleen Robichaux (University of California, Los Angeles (UCLA))

Deciding positivity of Schubert coefficients


Thursday, February 13, 2025

Morning Session

8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)

MODERATOR: Dan Erman

9:00 - 9:50
Laura Escobar (University of California, Santa Cruz)

Families of degenerations from mutations of polytopes

10:00 - 10:15 Break
10:15 - 11:05
11:15 - 11:30 Break
11:30 - 12:20
Anastasia Chavez (Saint Mary's College of California)

The valuation polytope on height two posets

12:30 - 2:30 Lunch (on your own)

Afternoon Session

MODERATOR: Dan Erman

2:30 - 3:20
Irem Portakal (Max-Planck Institute for Mathematics in the Sciences)

Combinatorics of equilibria in game theory

3:30 - 4:00 Break
4:00 - 4:50
Jonathan Montaño (Arizona State University)

Presburger modules: quasipolynomial and tameness


Friday, February 14, 2025

Morning Session

8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)

MODERATOR: Matt Beck

9:00 - 9:50
Lauren Cranton Heller (University of Nebraska-Lincoln)

Cellular resolutions for normalizations of toric ideals

10:00 - 10:15 Break
10:15 - 11:05
José Alejandro Samper Casas (Pontificia Universidad Catolica de Chile)

The cd-index of a semi-Eulerian complex

11:15 - 11:30 Break
11:30 - 12:20
Felipe Rincon (Queen Mary University of London)

Tropical Ideals