Littlewood-Richardson Homotopy

This work took (from the original idea to an implemented algorithm) about 20 years to complete!


Start by playing Ravi Vakil’s checkerboard games to understand the geometric Littlewood-Richardson rule. Track involved cascades of homotopies on checkerboard varieties corresponding to one of the 10 moves like the one depicted and find solutions (i.e, find approximate numerical solutions explicitly!) to any instance of any Schubert problem on any Grassmannian.




Georgia Algebraic Geometry Symposium 2018

The Georgia Algebraic Geometry Symposium (sometimes known as GAGS) will take place in Georgia Tech on Feb 23-25, 2018, starting with registration and the first talk at 4:30pm on Feb 23 (Friday) and ending before lunch on Feb 25 (Sunday).

We have a great list of invited speakers:

Please register here:

(Yes, even the local students should register! This will help us plan better!)


Note that Georgia Tech will also host the Meeting on Applied Algebraic Geometry on April 7-8, 2018:



MAAG 2018: Meeting on Applied Algebraic Geometry

We are happy to announce that MAAG 2018 is a go! Moreover, the main day (Saturday April 7) will be followed by an informal Numerical Algebraic Geometry day (Sunday April 8).


Find tentative schedule and a link to the registration form (registration is free if completed by March 1) at

By the way, this meeting has a short but rich history.


Beyond polyhedral homotopies

We forgot to post this here in the beginning of the summer… The paper outlines a very general framework for (an) algorithm(s) waiting to be implemented.


Beyond polyhedral homotopies
(Anton Leykin and  Josephine Yu)

Abstract: We present a new algorithmic framework which utilizes tropical geometry and homotopy continuation for solving systems of polynomial equations where some of the polynomials are generic elements in linear subspaces of the polynomial ring. This approach generalizes the polyhedral homotopies by Huber and Sturmfels. 


The short story of MAGA

The Meeting on Algebraic Geometry and its Applications was intended as a one-day meeting that attracts people in the South-East of the US. The first two incarnations — at Georgia Tech in 2015 and at Clemson in 2016 — gathered 25-30 participants each.

MAGA had a year off in 2017 due to a large international meeting scheduled in the same year at GT, but the meeting will run in 2018. There is also a plan to continue this as a regular annual event held in April in Atlanta.


However, the world has changed a bit in the last couple of years and a lot of people associate the acronym MAGA… with something completely different. Therefore a question: what could be a new name/abbreviation?

ICERM Semester Program on “Nonlinear Algebra”


The Fall of 2018 is the semester of Nonlinear Algebra at the Institute for Computational and Experimental Research in Mathematics (ICERM) which is in  Brown University.


“… This semester will work towards a time when ideas of nonlinear algebra, its theory, methods, and software are as ubiquitous as those of linear algebra.”

The application deadline for students and postdocs is January 1.


SIAM AG 2017 in pictures

The SIAM AG meeting gathered close to 450 registered participants! The live stream of the plenary talks brought about as many virtual ones (according to the viewing statistics).

As a group photo was deemed not feasible, here are several pictures from the reception and poster session that will help us to remember that cool summer week. (Yes, the weather did cooperate as well!)

SIAM AG reception