Equidistribution of Matrix Valued Gauss Sums by C. S. Rajan
Explore equidistribution of matrix-valued Gauss sums in this advanced mathematics lecture, delving into arithmetic geometry and modular curves.
Towards Strong Uniformity for Isogenies of Prime Degree by Barinder Singh Banwait
Explores strong uniformity for prime degree isogenies in arithmetic geometry, focusing on modular curves and rational points. Advances theoretical understanding and computational methods in this specialized field.
Quadratic Twist of Epsilon Factor of Symmetric Cube Transfers of Modular Form by Sudipa Mondal
Explores quadratic twists of epsilon factors for symmetric cube transfers of modular forms, delving into advanced concepts in arithmetic geometry and number theory.
On the Pseudonullity of Fine Selmer Groups Over Function Fields by Sohan Ghosh
Explores pseudonullity of fine Selmer groups over function fields, advancing understanding in arithmetic geometry and modular curves. Contributes to research on rational points and algebraic structures.
Uniform Versions of Shafarevich Conjecture by Plawan Das
Exploring uniform versions of Shafarevich Conjecture in arithmetic geometry, focusing on rational points on modular curves and their implications for elliptic curves and modular forms.
Rational Points on Modular Curves - Lecture 1
Explore advanced concepts in arithmetic geometry, focusing on rational points on modular curves. Gain insights into theoretical and computational aspects of this fascinating field of mathematics.
Classical and Quadratic Chabauty - Lecture 1
Explore advanced techniques for studying rational points on modular curves, focusing on classical and quadratic Chabauty methods in arithmetic geometry.
Some Research Problems in Number Theory
Explore intriguing research problems in number theory with Ram Murty, delving into advanced mathematical concepts and unsolved questions in this fascinating field.
The ABC Conjecture in Number Theory
Explore the ABC conjecture with insights from Prof. M. Ram Murty, presented by Hector Pasten Vasquez. Gain a deeper understanding of this fundamental mathematical concept.
Beilinson's Conjecture for the Dwork Family
Explores Beilinson's conjecture for the Dwork family, focusing on constructing classes in higher Chow groups and computing their regulators in relation to motivic L-functions and automorphic forms.
Introduction to Bruhat-Tits Theory - Lecture 1
Comprehensive introduction to Bruhat-Tits theory, exploring its foundations and applications in algebraic groups and number theory. Ideal for advanced mathematics students and researchers.
Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 1
Explore Zariski-dense subgroups, number theory, and geometric applications in this lecture on bounded generation of linear groups and Diophantine approximation.
Arithmetic Field Theory for Elliptic Curves by Minhyong Kim
Explore advanced arithmetic field theory for elliptic curves, focusing on rational points on modular curves, Chabauty methods, and computational aspects in arithmetic geometry.
Counting Rational Points on Modular Curves of Genus 0 Over Number Fields by Peter Bruin
Explore techniques for counting rational points on modular curves of genus 0 over number fields, advancing understanding in arithmetic geometry and algebraic number theory.
Diophantine Stability for Elliptic Curves on Average by Anwesh Ray
Explore Diophantine stability for elliptic curves, focusing on average-case analysis. Gain insights into arithmetic geometry and modular curves through advanced theoretical and computational approaches.
A Simple Dichotomy in Serre's Uniformity Question by Davide Lombardo
Explore Serre's Uniformity Question in arithmetic geometry, focusing on rational points on modular curves and their implications for elliptic curves and number theory.
A Chabauty-Coleman-Caro-Pasten Bound in Higher Dimensions by Netan Dogra
Explore advanced techniques in arithmetic geometry, focusing on rational points on modular curves and higher-dimensional varieties using Chabauty-Coleman-Caro-Pasten methods.
The ABC Mysteries - Exploring the Controversy of Mochizuki's Proof
Explore the ABC conjecture controversy, its mathematical implications, and the societal impact on mathematical practice with Professor Minhyong Kim, a renowned expert in arithmetic geometry.
Integral Canonical Models of Exceptional Shimura Varieties
Explore advanced mathematical concepts in exceptional Shimura varieties and their integral canonical models, presented by Jacob Tsimerman from the University of Toronto.
Iwasawa Theory in a Family of Z_p-Extensions
Explore advanced number theory concepts, focusing on Iwasawa theory in Z_p-extensions families. Gain insights from expert Sujatha Ramdorai on this specialized mathematical topic.
Motivic Galois Theory of Algebraic Mellin Transforms
Explore the intricate connections between algebraic geometry and number theory through the lens of motivic Galois theory and Mellin transforms.