Hopf-Galois theory and applications to number theory
(PhD Course)
During November and December 2025, I will be teaching the PhD course 'Hopf-Galois theory and applications to number theory' together with Cornelius Greither at the University of Pisa.
In this web page I will upload materials and useful information on the course.
Relevant information:
Title: Hopf-Galois theory and applications to number theory.
Instructors: Daniel Gil Muñoz and Cornelius Greither.
Format: Presential.
Duration: 30 hours (15 lectures, 2 hours long each).
Place: Dipartimento di Matemàtica, Università di Pisa.
Areas: Hopf algebras, Galois theory, group theory, number theory.
MSC2010: 11R32, 12F10, 16T05.
Relevant links:
List of lectures:
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Lecture 1: Thursday, Nov 6, 2025, 16:00-18:00. Aula Riunioni. Lecturer: Daniel Gil Muñoz.
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Lecture 2: Thursday, Nov 13, 2025, 16:00-18:00. Aula Riunioni. Lecturer: Daniel Gil Muñoz.
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Lecture 3: Friday, Nov 14, 2025., 14:00-16:00 Aula Riunioni. Lecturer: Cornelius Greither.
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Lecture 4: Tuesday, Nov 18, 2025, 16:00-18:00. Aula Riunioni. Lecturer: Cornelius Greither.
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Lecture 5: Wednesday, Nov 19, 2025, 14:00-16:00. Aula Magna. Lecturer: Cornelius Greither.
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Lecture 6: Thursday, Nov 20, 2025, 16:00-18:00. Aula Magna. Lecturer: Cornelius Greither.
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Lecture 7: Friday, Nov 21, 2025, 9:00-11:00. Aula Riunioni. Lecturer: Cornelius Greither.
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Lecture 8: Monday, Nov 24, 2025, 11:00-13:00. Aula Riunioni. Lecturer: Daniel Gil Muñoz.
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Lecture 9: Tursday, Nov 27, 2025, 16:00-18:00. Aula Seminari. Lecturer: Daniel Gil Muñoz.
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Lecture 10: Monday, Dec 1, 2025, 11:00-13:00. Aula Riunioni. Lecturer: Daniel Gil Muñoz.
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Lecture 11: Tursday, Dec 4, 2025, 16:00-18:00. Aula Riunioni. Lecturer: Daniel Gil Muñoz.
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Lecture 12: Monday, Dec 8, 2025, 11:00-13:00. Aula Riunioni. Lecturer: Daniel Gil Muñoz.
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Lecture 13: Tursday, Dec 11, 2025, 16:00-18:00. Aula Riunioni. Lecturer: Daniel Gil Muñoz.
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Lecture 14: Monday, Dec 15, 2025, 11:00-13:00. Aula Seminari. Lecturer: Daniel Gil Muñoz.
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Lecture 15: Tursday, Dec 18, 2025, 16:00-18:00. Aula Seminari. Lecturer: Daniel Gil Muñoz.