| Date |
Topic |
Book Sections |
| Jan 6 |
Introduction to Numerical Algebraic Geometry |
|
| Jan 8 |
Introduction to polynomial systems |
Sections 1.1 & 1.2 |
| Jan 10 |
Probability one and Bertini's Theorem |
Sections 1.1 & 1.2 |
| Jan 13 |
Intro to parameter homotopies |
|
| Jan 15 |
Daniel Brake special topic |
|
| Jan 17 |
Daniel Brake special topic |
|
| Jan 20 |
Martin Luther King, Jr. |
|
| Jan 22 |
Bezout homotopies |
Section 2.1 |
| Jan 24 |
Path tracking |
Section 2.2 |
| Jan 27 |
Endgames |
Section 3.2 |
| Jan 29 |
Snow Day |
|
| Jan 31 |
Cauchy integral formula and adaptive precision |
Section 3.2 |
| Feb 3 |
Multihomogeneous Bezout |
Section 5.1 |
| Feb 5 |
Real curves (AMC lecture by D. Brake) |
Section 14.4 |
| Feb 7 |
Projective space |
Chapter 4 |
| Feb 10 |
Isotropic & Multihomogeneous |
Sections 4.2 & 4.3 |
| Feb 12 |
Linear and polynomial product |
Sections 5.1 & 5.2 |
| Feb 14 |
Snow Day |
|
| Feb 17 |
Polyhedral & parameter homotopies |
Section 5.3 |
| Feb 19 |
Parameter homotopies (Brake) |
Chapter 6 |
| Feb 21 |
Zero-dim examples |
|
|
| Feb 24 |
Energy landscapes (Dhagash Mehta) |
|
| Feb 26 |
Random coefficients and structure |
|
| Feb 28 |
Regeneration |
Section 5.4 |
| Mar 3 |
Regeneration |
Section 5.4 |
| Mar 5 |
Witness sets |
Chapter 8 |
|
| Mar 7 |
Computing NID |
Chapters 9 & 10 |
| Mar 10 |
Spring Break |
|
| Mar 12 |
Spring Break |
|
| Mar 14 |
Spring Break |
|
| Mar 17 |
Membership testing |
Chapter 10 |
| Mar 19 |
Local dimension |
Chapter 11 |
| Mar 21 |
Local dimension |
Chapter 11 |
| Mar 24 |
Monodromy and trace test |
Section 10.2 |
| Mar 26 |
Conversion to polynomial systems (Mehta) |
|
| Mar 28 |
Deflation |
Section 11.6 |
| Mar 31 |
Deflation |
Section 11.6 |
| Apr 2 |
Real solutions |
Section 14.5 |
| Apr 4 |
Real solutions |
Section 14.5 |
| Apr 7 |
Critical points |
Chapter 14 |
| Apr 9 |
Cell decomposition |
Chapter 14 |
| Apr 11 |
Geometry of real solutions |
Chapter 14 |
| Apr 14 |
Numerical elimination theory |
Chapter 16 |
| Apr 16 |
Numerical elimination theory |
Chapter 16 |
| Apr 18 |
Spring Holiday |
|
| Apr 21 |
Exceptional fibers |
Chapter 16 |
| Apr 23 |
Exceptional fibers |
Chapter 16 |
| Apr 28 |
Final presentations (8 - 11 am) |
|
