Related papers: Motivic splitting principle

A vector variational principle is proved.

We prove a variation of Gronwall's lemma.

We prove a motivic version of the Poisson formula on the adelic points of a split algebraic torus and apply it to the study of the motivic height zeta function of split projective toric varieties, in the context of the motivic Manin-Peyre…

We develop a theory of modulus triples, for future motivic applications.

The paper presents a counterexample to the Hodge conjecture.

We study some asymptotic variants of the club principle. Along the way, we construct some forcings and use them to separate several of these principles

Some minor changes to the exposition.

Continued fractions are used to give an alternate proof of $e^{x/y}$ is irrational.

An technically interesting proof of a known theorem.

We present a conjecture about partitions, with a very elementary formulation.

This is an overview and a preview of the theory of "mixed motives of level 1" explaining some results, projects, ideas and indicating a bunch of problems.

New cases of the multiplicity conjecture are considered.

A proposed solution to the Riemann Hypothesis

These are notes from a basic course in Several Complex Variables

Arguably the simplest variation of this style of proof as we avoid reducing to the cubic case entirely.

We provide a proof of a variant of the Landau-Siegel Zeros conjecture.

An equivalent but useful version on the Homological Nerve Theorem is proved.

The aim of this article is to develop the theory of motivic integration over Deligne-Mumford stacks and to apply it to the birational geometry of stacks.

We develop the theory of motivic integration for formal schemes

A method for designing variational principles for the dynamics of a possibly dissipative and non-conservatively forced chain of particles is demonstrated. Some qualitative features of the formulation are discussed.