Fields Number Theory Seminar

Galois number fields with a fixed Pólya index
Torsion of Rational Elliptic Curves over the Cyclotomic Extensions of Q
The charm and mystery of absolute Galois groups
Canonical local heights and Berkovich skeleta
Techniques in parametrization of rings and counting number-fields with fixed degree
Galois action on the etale fundamental group of the Fermat curve
Non-vanishing of Ceresa and Gross--Kudla--Schoen cycles
The period-index problem for higher degree Galois cohomology groups over Hensel semi-global fields
Certain Polytopes associated to Algebraic integer conjugates
Large Compact Subvarieties of A_g
Generalisations of Schanuel conjecture
The Grothendieck period conjecture and mixed motives with maximal unipotent radicals – Part 2
Hecke actions on loops and periods of iterated Shimura integrals
Iwasawa theory of isogeny graphs with level structures
The Grothendieck period conjecture and mixed motives with maximal unipotent radicals
Galois module structure of $p^s$th power classes of a field
Iwasawa lambda invariant and Massey products
On the Hardy Littlewood 3-tuple prime conjecture and convolutions of Ramanujan sums
A canonical algebraic cycle associated to a curve in its Jacobian
Applications of arithmetic holonomicity theorems
On ℓ-torsion in superelliptic Jacobians
Arithmetic and geometry of the generic curve
Computer proofs of some combinatorial congruences
Difference equations and algebraic independence over elliptic function fields
Arithmetic Siegel-Weil formulas for zero-dimensional Shimura varieties
Unexplained periods of elliptic curves and mixed L-functions
On Euler-Kronecker Constants
Finiteness for self-dual classes in variations of Hodge structure
On the arithmetic of generalized Fekete polynomials
Height Bounds for Certain Exceptional Points in Some Variations of Hodge Structures
Differential Equations and Mixed Hodge Structures
Abelian Varieties not Isogenous to Jacobians over Global Fields
Algebraic Cycle Loci at the Integral Level
2 -Selmer groups, 2-class groups, and the arithmetic of binary forms
Triple Product Periods in RM Theory
From multiple polylogarithms to the universal vector extension of an elliptic curve
Arithmetic Statistics and Iwasawa Theory
A non-hypergeometric E-function
On the Betti map
On the algebraicity of the Hodge locus
Class groups, congruences, and cup products
On normalization in the integral models of Shimura varieties of Hodge type
Non-vanishing of Poincare series
Constructing extensions in mixed Tate motives
From Ramanujan graphs to Ramanujan complexes
Algebraic Twists of automorphic L-functions
Arithmetic statistics and the Iwasawa theory of elliptic curves
Zagier's Polylogarithm Conjecture revisited
Elliptic surfaces and the enumeration of walks with small steps in the quarter plane
A tale of two analyticities
Arithmetic Siegel-Weil formula for GSpin Shimura varieties
Grothendieck period conjecture and 1-motives
On Exponential motives and their Fundamental Groups
A survey on quantum algorithms for computing class groups
Extension classes of a mixed motive and subgroups of unipotent radical of the motivic Galois group
Arithmetic occult periods
Central L-values of U(3) x U(2), non-vanishing and subconvexity
Khovanskii's theorem and effective results on sumset structure
Sums of triangular numbers and sums of squares
Circle Method and Automorphic Forms
On etale wild kernel and a conjecture of Greenberg
Bounds for the distribution of Frobenius traces associated to products of non-CM elliptic curves
Average sizes of the 2-torsion subgroups of the class groups in families of cubic fields
The Okada space and vanishing of L(1,f)
On bounds of Fourier-coefficients of half-integer weight cusp forms
The arithmetic of Hecke characters and their L-functions.
Algebraic functional equation for Selmer groups
The generalised Diophantine m-tuples
Iwasawa Theory of Fine Selmer Groups
Values of the Ramanujan tau-function
Introductory talk on Iwasawa Theory
On linear independence of special values of polylogarithms
Introductory talk on Arthur packets
On the normal number of prime factors of sums of Fourier coefficients of Hecke eigenforms
Stark's conjectures and Hilbert's 12th Problem
Ceresa cycles of Fermat curves and Hodge theory of fundamental groups
Extending the theta correspondence
Background to: "Extending the Theta Correspondence"
Holomorphy of Adjoint $L$-functions for GL$(n):$ $n\leq 4$
Holomorphy of L functions and Trace Formula
On the subring of special cycles on orthogonal Shimura varieties
Integral Gross-Stark conjecture and explicit formulae for Brumer-Stark units
Euler characteristics and Arithmetic
Circle method and subconvexity
Selmer groups in Arithmetic
Selmer groups in arithmetic
Local Langlands parametrization for $G_2$
An introduction to the subconvexity problem
Automorphic Galois representations and Langlands correspondences