Theoretical/algorithmic tools from algebra and topology (e.g., (real/complex/numerical) algebraic geometry and algebraic topology) have been rigorously applied to the solve/study practical problems in data sciences and engineering. These include problems in computational complexity, statistics, optimization, and topological data analysis. Real algebraic and o-minimal geometry, in particular, are the study of semi-algebraic sets and definable sets in general, which involve the feasible sets of certain classes of optimization problems (e.g., semidefinite and polynomial optimization) as special cases.

The goals behind organizing these seminars and sessions are to bring together a diverse group of experts and researchers from different areas of pure and applied mathematics including but not limited to optimization, algebra, differential geometry, algebraic topology, and algebraic geometry. We also aim to showcase the applied facets of these subdiscipline in solving problems and data science and engineering.

## Seminars

- 2022-2023, Carnegie Mellon University: Optimization, Algebra, and Geometry Seminar
- Spring 2022, Purdue University: Optimization and Real Algebraic Geometry Seminar

## Conferences and Special sessions

- Joint Mathematics Meetings 2024: AMS Special Session on On Topological and Algebraic Approaches for Optimization
- SIAM Conference on Optimization 2023: Minisymposium on Algebro-Geometric Aspects of Optimization
- Informs Annual Meeting 2023: Session on Algebraic Methods in Semidefinite and Polynomial Optimization
- Joint Mathematics Meetings 2023: AMS Special Session on Complexity and Topology in Computational Algebraic Geometry
- AMS Spring Central Sectional Meeting 2022, Virtual: Special Session on Optimization, Complexity, and Real Algebraic Geometry
- SIAM Conference on Applied Algebraic Geometry 2021, Virtual: Minisymposium on Algebraic Aspects of Optimization
- SIAM Conference on Optimization, Virtual: Minisymposium on Recent Advances in Semidefinite and Polynomial Optimization
- AMS Spring Southeastern Sectional Meeting 2021, Virtual: Special Session on Optimization and Real Algebraic Geometry
- Joint Mathematics Meetings 2021, Virtual: Special Session on Optimization and Algebraic Geometry