Lectures and Courses
Fermat's Last Theorem
Description: This is an advanced reading course. For more details, please visit here.
Reference: T. Saito, Fermat's last theorem: Basic Tools, American Mathematical Society, 2013.
Location: Hybrid course: in Lecture Hall 2 at IPM School of Mathematics; and online with Google Meet (please contact us to receive the link).
Decoding Dimensions
Description: This long-term program hosted at IPM’s School of Mathematics delves into the intriguing realms of Algebraic Geometry and Number Theory. For a description of the program, click here.
The courses for the Spring semester 2024: Algebraic Geometry, Advanced Commutative Algebra, Category Theory and Homological Algebra (for more details, please visit here).
The courses for the Fall semester 2023: Galois Theory, Commutative Algebra, Algebraic Number Theory, Elliptic Curves and Modular Forms.
Poster: here
Seminars and Conferences: here
Higher Hida Theory
Description: This is a reading seminar on higher Hida theory, presented by students.
Location: Lecture Hall 2 at IPM School of Mathematics.
Toric Geometry
Reference: W. Fulton, Introduction to toric varieties, Princeton University Press, 1993.
Supplementary References: D. Cox, Lectures on toric varieties; V. Alexeev, Complete moduli in the presence of semiabelian group action.
Prerequisite: Algebraic geometry (first chapter of Hartshorne’s Algebraic Geometry).
Date and Time: Wednesdays, 14:00-15:00 Tehran local time, Fall semester 2023.
Location: Hybrid seminar: in Lecture Hall 2 at IPM School of Mathematics; and online (please send an email to takusi@gmail.com to receive the link).
Introduction to Intersection Theory
Reference: D. Eisenbud, J. Harris, 3264 and All That: A Second Course in Algebraic Geometry, Cambridge University Press, 2016.
Prerequisites: A basic knowledge in classical algebraic geometry; an acquaintance with the language of schemes; an acquaintance with coherent sheaves and their cohomology. (Equivalently, the first 3 chapters of Hartshorne’s Algebraic Geometry).
Date and Time: Wednesdays, 14:00-16:00 Tehran local time, Spring semester 2023.
Location: Hybrid class: in Lecture Hall 2, School of Mathematics; and online (please send an email to taladpoosh@gmail.com to receive the link).
Poster: here
Classes: here
Hida Theory
Description: This is a reading seminar on Hida theory, presented by students.
Reference: H. Hida, Elementary Theory of L-Functions and Eisenstein Series, London Mathematical Society Student Texts, 1993.
Location: Hybrid seminar: in Lecture Hall 2 at IPM School of Mathematics; and online (please send an email to amir.ekhlasi@gmail.com to receive the link).
Topics in Arithmetic Geometry
Description: This is an advanced (thematic) reading course. Currently, we are studying Clausen-Scholze theory of Condensed Mathematics.
Last semester, we studied perverse sheaves and simplicial methods in algebraic geometry.
Reference: P. Scholze, Lectures on Condensed Mathematics, 2019.
Location: Lecture Hall 2, School of Mathematics.
Elliptic Curves
Descripton: This is a reading course on elliptic curves, run by postdocs and students. For more details, please send an email to a.marefparvar@ipm.ir.
Reference: J. H. Silverman, The Arithmetic of Elliptic Curves, 2nd Edition, Springer, Dordrecht, 2009.
Location: Online (Skype).