Summer School Details

Colloquium Speakers
Giulio Caviglia (Purdue University)
David Eisenbud (University of California – Berkley)
Eloísa Grifo (University of Nebraska – Lincoln)
Jack Jeffries (University of Nebraska – Lincoln)
Claudia Miller (Syracuse University)
Jonathan Montaño (Arizona State University)
Alexandra Seceleanu (University of Nebraska – Lincoln)
Bernd Ulrich (Purdue University)
Uli Walther (Purdue University)

Daniel Erman (University of Wisconsin – Madison)
Elisa Gorla (Université de Neuchâtel)
Anurag Singh (University of Utah)

Adam Boocher – Lead TA Coordinator (University of San Diego)
Alessandra Costantini (Oklahoma State University)
Patricia Klein (Texas A&M University)
Adam LaClair (Purdue University)
Vaibhav Pandey (Purdue University)
Eamon Quinlan-Gallego (University of Utah)
Ritvik Ramhumar (Cornell University)
Mahrud Sayrafi (University of Minnesota – Twin Cities)
Hunter Simper (Purdue University)
Ola Sobieska (University of Wisconsin – Madison)
Yevgeniya Tarasova (Purdue University)
Keller VandeBogert (University of Notre Dame)
Matthew Weaver (University of Notre Dame)

Mini-Course Topics
1. The geometry of (nonstandard) syzygies (Erman)
2. Liaison Theory (Gorla)
3. Differential Operators, Determinantal Varieties, and D-modules (Singh)

School Structure
The three lecture series and the colloquia will take place in the morning. To address the differing abilities and backgrounds of the graduate students, two levels of problem sessions will be held in the afternoons: one more elementary and one more advanced. In addition, student-led teaching sessions will allow less advanced students to be taught by more experienced ones. Numerous social and informal events are planned including several dinners, a cookout, a karaoke night, and a game night.

Suggested Prerequisites

  • First course in commutative algebra, at the level of Atiyah-MacDonald (Introduction to Commutative Algebra)
  • Commutative Algebra with a view towards algebraic geometry – by David Eisenbud
  • Chapters 1 – 10 of Twenty-four Hours of Local Cohomology
  • Some experience with: free resolutions, computation in Macaulay2, and/or elementary algebraic geometry would be helpful, but not strictly necessary