Logo

Mathematical Sciences Research Institute

Home » Algebraic Theory of Differential and Difference Equations, Model Theory and their Applications

Summer Graduate School

Algebraic Theory of Differential and Difference Equations, Model Theory and their Applications July 04, 2022 - July 15, 2022
Parent Program: --
Location: St. Mary's College, Moraga, California
Organizers LEAD Alexey Ovchinnikov (Queens College, CUNY), Anand Pillay (University of Notre Dame), Thomas Scanlon (University of California, Berkeley), Michael Wibmer (University of Notre Dame)
Lecturer(s)

Show List of Lecturers

Teaching Assistants(s)

Show List of Teaching Assistant's

  • Aaron Hale (MSRI - Mathematical Sciences Research Institute)
Speaker(s)

Show List of Speakers

Description
Image
Algebraic Theory Of Differential And Difference Equations, Model Theory And Their Applications

The purpose of the summer school will be to introduce graduate students to effective methods in algebraic theories of differential and difference equations with emphasis on their model-theoretic foundations and to demonstrate recent applications of these techniques to studying dynamic models arising in sciences. While these topics comprise a coherent and rich subject, they appear in graduate coursework in at best a piecemeal way, and then only as components of classes for other aims. With this Summer Graduate School, students will learn both the theoretical basis of differential and difference algebra and how to use these methods to solve practical problems. Beyond the lectures, the graduate students will meet daily in problem sessions and will participate in one-on-one mentoring sessions with the lecturers and organizers.

School Structure
Lectures will be held on the following topics:
(1) Effectivity in the algebraic theories of differential and difference equations (lectures by Alexey Ovchinnikov)
(2)  General model theory of differential and difference fields (lectures by David Marker)
(3)  Model theory of log-differential equations (lectures by Anand Pillay)
(4)  Applications to modeling (lectures by Marisa Eisenberg)
Beyond the lectures, the graduate students will meet daily in problem sessions and will participate in one-on-one mentoring sessions with the lecturers and organizers.

Suggested prerequisites

  • Graduate-level course in algebra
  • The first 4 chapters from “Model Theory, An Introduction” by David Marker
  • Chapters 1-5 and 9 from “Ideals, Varieties, and Algorithms” by Cox, Little and O’Shea

For eligibility and how to apply, see the Summer Graduate Schools homepage

Funding & Logistics Show All Collapse

Show Directions to Venue

Show Visa/Immigration

Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
Show All Collapse
Jul 04, 2022
Monday
08:45 AM - 10:30 AM
  5 Minute Student Presentations
10:30 AM - 10:45 AM
  Break
10:45 AM - 12:30 PM
  5 Minute Student Presentations
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  One-on-One Meetings (Students with Lecturers/Organizers/TAs)
03:30 PM - 04:00 PM
  Break
04:00 PM - 05:00 PM
  One-on-One Meetings (Students with Lecturers/Organizers/TAs)
Jul 05, 2022
Tuesday
08:30 AM - 08:45 AM
  Introduction to MSRI
09:00 AM - 10:15 AM
  Lecture
Alexey Ovchinnikov (Queens College, CUNY)
10:15 AM - 10:45 AM
  Break
10:15 AM - 12:00 PM
  Lecture
James Freitag (University of Illinois at Chicago)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Discussion for Lecture
Ola Sobieska (Texas A & M University)
03:00 PM - 03:30 PM
  Break
03:30 PM - 05:00 PM
  Discussion for Lecture
Sebastian Eterovic (University of California, Berkeley)
Jul 06, 2022
Wednesday
08:45 AM - 09:35 AM
  Lecture
Alexey Ovchinnikov (Queens College, CUNY)
09:35 AM - 09:45 AM
  Break
09:45 AM - 10:35 AM
  Lecture
James Freitag (University of Illinois at Chicago)
10:35 AM - 10:45 AM
  Break
10:45 AM - 12:30 PM
  Discussion for Lecture
Sebastian Eterovic (University of California, Berkeley)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Informal Discussion
03:15 PM - 03:45 PM
  Break
03:45 PM - 05:00 PM
  Informal Discussion
Jul 07, 2022
Thursday
09:00 AM - 10:15 AM
  Lecture
Nicolette Meshkat (University of Santa Clara)
10:15 AM - 10:45 AM
  Break
10:15 AM - 12:00 PM
  Lecture
James Freitag (University of Illinois at Chicago)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Discussion for Lecture
Ola Sobieska (Texas A & M University)
03:00 PM - 03:30 PM
  Break
03:30 PM - 05:00 PM
  Discussion for Lecture
Sebastian Eterovic (University of California, Berkeley)
Jul 08, 2022
Friday
09:00 AM - 10:15 AM
  Lecture
Nicolette Meshkat (University of Santa Clara)
10:15 AM - 10:45 AM
  Break
10:15 AM - 12:00 PM
  Lecture
James Freitag (University of Illinois at Chicago)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Discussion for Lecture
Ola Sobieska (Texas A & M University)
03:00 PM - 03:30 PM
  Break
03:30 PM - 05:00 PM
  Discussion for Lecture
Sebastian Eterovic (University of California, Berkeley)
Jul 11, 2022
Monday
09:00 AM - 10:15 AM
  Lecture
Alexey Ovchinnikov (Queens College, CUNY)
10:15 AM - 10:45 AM
  Break
10:15 AM - 12:00 PM
  Lecture
Anand Pillay (University of Notre Dame)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Discussion for Lecture
Nicolette Meshkat (University of Santa Clara)
03:00 PM - 03:30 PM
  Break
03:30 PM - 05:00 PM
  Discussion for Lecture
Sebastian Eterovic (University of California, Berkeley)
Jul 12, 2022
Tuesday
09:00 AM - 10:15 AM
  Lecture
Anand Pillay (University of Notre Dame)
10:15 AM - 10:45 AM
  Break
10:15 AM - 12:00 PM
  Lecture
Nicolette Meshkat (University of Santa Clara)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Discussion for Lecture
Sebastian Eterovic (University of California, Berkeley)
03:00 PM - 03:30 PM
  Break
03:30 PM - 05:00 PM
  Discussion for Lecture
Jessica Conrad (University of Michigan; Los Alamos National Laboratory)
Jul 13, 2022
Wednesday
08:45 AM - 09:35 AM
  Lecture
Alexey Ovchinnikov (Queens College, CUNY)
09:35 AM - 09:45 AM
  Break
09:45 AM - 10:35 AM
  Lecture
Anand Pillay (University of Notre Dame)
10:35 AM - 10:45 AM
  Break
10:45 AM - 12:30 PM
  Discussion for Lecture
Sebastian Eterovic (University of California, Berkeley)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Informal Discussion
03:15 PM - 03:45 PM
  Break
03:45 PM - 05:00 PM
  Informal Discussion
Jul 14, 2022
Thursday
09:00 AM - 10:15 AM
  Lecture
Anand Pillay (University of Notre Dame)
10:15 AM - 10:45 AM
  Break
10:15 AM - 12:00 PM
  Lecture
Nicolette Meshkat (University of Santa Clara)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Discussion for Lecture
Sebastian Eterovic (University of California, Berkeley)
03:00 PM - 03:30 PM
  Break
03:30 PM - 05:00 PM
  Discussion for Lecture
Jessica Conrad (University of Michigan; Los Alamos National Laboratory)
Jul 15, 2022
Friday
09:00 AM - 10:15 AM
  Lecture
Anand Pillay (University of Notre Dame)
10:15 AM - 10:45 AM
  Break
10:15 AM - 12:00 PM
  Lecture
Nicolette Meshkat (University of Santa Clara)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 03:00 PM
  Discussion for Lecture
Sebastian Eterovic (University of California, Berkeley)
03:00 PM - 03:30 PM
  Break
03:30 PM - 05:00 PM
  Discussion for Lecture
Jessica Conrad (University of Michigan; Los Alamos National Laboratory)