This special session is part of the inaugural AMS Mathematics Research Communities program. This program seeks to develop and sustain long-lasting cohorts for collaborative research in various areas of mathematics. Our particular program involved 20 young mathematicians and focused on the Boij-Soderberg conjectures and numerical primary decomposition. Although these topics would be of interest to many attendees of this special session, we are interested in having broad representation within computational algebraic geometry and welcome any topics within or near that field.
| Time | Speaker | University | Title | |
|---|---|---|---|---|
| 8:00 a.m. | Bernd Sturmfels | UC Berkeley | How to draw tropical planes | slides |
| 8:30 a.m. | Josephine Yu | MIT | Tropical Implicitization and Mixed Fiber Polytopes | |
| 9:00 a.m. | Tristram C Bogart | Queen's University | A tropical approach to rational curves on general hypersurfaces in $\mathbb{P}^3$ | |
| 9:30 a.m. | Frank Sottile | Texas A&M University | Experimentation at the frontier of reality in Schubert calculus | slides, animation |
| 10:00 a.m. | Luis D. Garcia-Puente | Sam Houston State University | Geometrical aspects of control points for toric patches. | |
| 10:30 a.m. | David Eisenbud | UC Berkeley | Cohomology Tables of Coherent Sheaves on a Projective Space | slides |
| 1:00 p.m. | Kuei-Nuan Lin | Purdue | Diagonal ideals of determinantal rings | |
| 1:30 p.m. | Sonja Mapes | Columbia | Finite atomic lattices and resolutions of associated monomial ideals | |
| 2:00 p.m. | Andrew Sommese | Notre Dame | A Numerical Local Dimension Test for Algebraic Sets | |
| 2:30 p.m. | Christopher Peterson | Colorado State University | Partial decomposition of radical ideals through numerical homotopy and lattice basis reduction | |
| 3:00 p.m. | Anton Leykin | IMA | Numerical primary decomposition | |
| 3:30 p.m. | Rostam Sabeti | Michigan State University | On numerical-symbolic exact irreducible decomposition of cyclic-12 | |
| 4:00 p.m. | Hai-Jun Su | UMBC | Computational Algebraic Geometry for Mechanism Synthesis | |
| 4:30 p.m. | Wenyuan Wu | University of Western Ontario | F,G,H,I Bases for Polynomial Rings and their Relations | slides |
| 5:00 p.m. | Alexey Ovchinnikov | University of Illinois Chicago | Estimates for orders of derivatives in differential Nullstellensatz | slides |
| 5:30 p.m. | Ashraf A Ibrahim | Texas A&M University | p-adic Descartes' Bounds | |
Our session met Wednesday, January 7, from 8:00--10:50 a.m. and 1:00--5:50 p.m.