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.
How to Prove 1 = 0 and Other Mathematical Illusions
Explore mathematical illusions and logical fallacies in proofs, uncovering common mistakes and their implications. Learn to spot errors and understand the importance of rigorous mathematical reasoning.
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.
Quartic Gauss Sums Over Primes
Explore the intricacies of quartic Gauss sums over primes in this advanced mathematical lecture, delving into complex number theory and prime number properties.
A Survey of Central Limit Theorems in Number Theory
Explore key central limit theorems in number theory, examining their applications and implications for understanding mathematical distributions and patterns.
Moments of Artin-Schreier L-functions
Explore the mathematical intricacies of Artin-Schreier L-functions and their moments in this advanced Fields Institute lecture by Matilde Lalín from Université de Montréal.
A Simple Proof of the Wiener-Ikehara Tauberian Theorem
Explore a concise demonstration of the Wiener-Ikehara Tauberian Theorem, a fundamental result in analytic number theory with wide-ranging applications.
The Eighth and Shifted Moments of the Riemann Zeta Function
Explore advanced mathematical concepts related to the Riemann zeta function, focusing on its eighth and shifted moments in this specialized lecture by Peng-Jie Wong.
Ranks of Elliptic Curves in Cyclic Sextic Extensions of Q
Explore elliptic curve ranks in cyclic sextic extensions of Q, delving into advanced number theory concepts and their applications in algebraic geometry.
Quantum Unique Ergodicity for Powerful Level via Shifted Convolution Sum
Explore advanced mathematical concepts in number theory, focusing on QUE for powerful levels using shifted convolution sum techniques.
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.
On Binomial Binary Forms in Number Theory
Explore binomial binary forms with Michel Waldschmidt from Sorbonne Université, delving into advanced mathematical concepts and their applications in number theory.
Hypergeometric Functions, Galois Representations, and Modular Forms
Explore connections between hypergeometric functions, Galois representations, and modular forms in advanced number theory and algebraic geometry.
One-level Densities in Families of Grossencharakters Associated to CM Elliptic Curves
Explore one-level densities in Grossencharakters families linked to CM elliptic curves, delving into advanced number theory concepts and their applications.
Equidistribution of Polynomial Sequences in Function Fields
Explore equidistribution of polynomial sequences in function fields, examining mathematical concepts and their applications in number theory and algebraic geometry.
Pairwise Coprime Integers in Short Sequences with Polynomial Growth
Explore pairwise coprime integers in short sequences with polynomial growth, delving into advanced mathematical concepts and their applications.