Algebraic Geometry/Commutative Algebra Seminar, 2026–2027
To volunteer to give a talk, or for anything else regarding the seminar, contact Claudiu Raicu, Ritvik Ramkumar, or Eric Riedl.
Abstracts can be found below.
Fall Schedule
The seminar will meet on Thursdays, 3:30–4:30pm in 258 Hurley, unless otherwise noted. Related events are also listed below.
| Date |
Speaker |
Title |
|---|
| Thursday, Sep. 3 |
Fuxiang Yang (Notre Dame) |
Recent progress on the Eisenbud-Huneke-Ulrich conjecture |
| Thursday, Sep. 10 |
Teresa Yu (Notre Dame) |
TBA |
| Thursday, Sep. 17 |
Nikola Kuzmanovski (Notre Dame) |
A structural property of generic initial ideals |
| Thursday, Sep. 24 |
Amadou Bah (Notre Dame) |
TBA |
| Thursday, Oct. 1 |
Jonghyun Lee (Michigan) |
TBA |
| Thursday, Oct. 8 |
|
|
| Thursday, Oct. 15 |
|
|
| Thursday, Oct. 22 |
No seminar (Fall break) |
|
| Thursday, Oct. 29 |
|
|
| Thursday, Nov. 5 |
Bruno de Oliveira (Miami) |
TBA |
| Thursday, Nov. 12 |
|
|
| Thursday, Nov. 19 |
|
|
| Thursday, Nov. 26 |
No seminar (Thanksgiving) |
|
| Thursday, Dec. 3 |
|
|
Abstracts
Sep. 3, 2025
- Speaker
- Fuxiang Yang (Notre Dame)
- Title
- Recent progress on the Eisenbud-Huneke-Ulrich conjecture
- Abstract
-
Over a polynomial ring, an ideal I is said to be linearly presented if its first syzygy module is generated by linear relations. More generally, the resolution of I is linear for p steps if this linearity continues through the first p steps. In this talk, we explore some fundamental properties of ideals with partially linear minimal free resolution, such as asymptotic behavior of powers, Castelnuovo-Mumford regularity, and lower bounds on the number of minimal generators. In particular, we prove the Eisenbud-Ulrich conjecture on powers of linearly presented ideals and establish a linear effective bound toward the more general Eisenbud-Huneke-Ulrich conjecture.
Sep. 17, 2025
- Speaker
- Nikola Kuzmanovski (Notre Dame)
- Title
- A structural property of generic initial ideals
- Abstract
-
For over a century mathematicians have studied how to transfer information between a homogeneous ideal and its initial ideal. In this talk I will take this topic in the context of regular sequences. I will present an asymptotic structural property of generic initial ideals. This single phenomenon yields results on Hilbert functions, persistence, hyperplane restriction, graded Betti numbers, combinatorial shadow minimization, and Lefschetz properties.