On Geometric Construction of Artin Representation
Explore Serre's conjecture on integer-valued functions and Q_l-rational representations of finite groups acting on regular local rings.
Plectic Cohomology of Mixed Shimura Varieties and Stacks
Explore joint work on plectic cohomology of mixed Shimura varieties and stacks with Tony Scholl from the University of Cambridge.
Uniform Bounds for Chow Groups in Codimension Two Cycles
Explorez les limites uniformes pour les sous-groupes de torsion dans le groupe de Chow des cycles de codimension deux pour les familles de variétés sur les corps de nombres.
The Galois Group of the Category of Mixed Hodge-Tate Structures
Explore the Galois group of mixed Hodge-Tate structures, examining its Hopf algebra structure, derived category models, and applications to period theory in complex and p-adic settings.
Separating Actions from Angles in Local Diffeomorphisms
Explore geometric normalization of analytic local diffeomorphisms near weakly attracting elliptic fixed points, focusing on existence and applications.
Variants of Lojasiewicz's Gradient Inequality
Explore Lojasiewicz's gradient inequality, its extensions, and implications for gradient trajectories. Gain insights into a new variant for vector-valued maps and its geometric consequences.
Positive Mass Theorem and Positive Scalar Curvature with Singularities
Explore recent developments in positive mass theorem and scalar curvature, focusing on singular metrics and isolated conical singularities in mathematical physics.
Finiteness Questions for Étale Coverings with Bounded Wild Ramification
Explorez les coverings étales des variétés en caractéristique positive, leurs ramifications et les problèmes ouverts associés dans cette présentation mathématique avancée.
Donaldson-Thomas Invariants: Classical, Motivic, Quadratic and Real
Explore advanced Donaldson-Thomas invariants in algebraic geometry, including classical, motivic, quadratic, and real variants. Delve into virtual fundamental classes and refined invariants.
The Bloch-Esnault-Kerz Fiber Square in p-adic Hodge Theory
Explore the Bloch-Esnault-Kerz theorem, Beilinson's generalization, and Clausen's proposal for defining the Hodge-Tate period map in p-adic Hodge theory and algebraic K-theory.
Various Remarks on the Donagi-Pantev Program for Construction of Hecke Eigensheaves
Explore the Donagi-Pantev program for constructing Hecke eigensheaves, examining known cases, challenges, and connections to Hitchin moduli space geometry.
Different Notions of Tameness Revisited in Étale Morphisms
Explore different approaches to defining tameness in étale morphisms of schemes, focusing on valuation-theoretic methods and nonarchimedean geometry to overcome limitations of compactification-based approaches.
Pure Local Systems Over Local Fields
Explore pure l-adic local systems on varieties over p-adic local fields, focusing on analogs of variations of pure Hodge structures and tilting approaches to open problems.
Beauty of Life Seen Through Keyhole of Mathematics - Lecture 4
Explore molecular structures, mathematical thought in genetics, and the nature of life. Delve into bioengineering's future and human impact on Earth's ecology.
Python ate my Homework - Using SymPy for Mathematical Problem-Solving
Discover SymPy for solving complex math problems with Python. Learn to use Jupyter for assignments and contribute to computational mathematics.
NetworkX is Fast Now - Graph Analytics Unleashed
Discover NetworkX's power for graph analytics, from beginner-friendly API to accelerated backends. Learn to extract insights from data using advanced tools for scalable graph analysis.
Computational Origami - Harnessing Paper Folding for Problem Solving
Explore the computational power of paper folding, from basic arithmetic to solving cubic equations, using Python simulations and origami principles.
Graphs and Vogue Dance: Using Data Structures to Create Choreographies
Explore how graph data structures can be used to create and visualize Vogue Dance choreographies, combining computer science concepts with artistic expression in this innovative approach to dance composition.
Are Rewrites Always a Bad Idea? - When to Consider Rewriting Legacy Code
Explore when software rewrites can be beneficial, choosing tech stacks, and transitioning to leadership as a junior dev. Learn from a real-world project transforming academic C++ code.
Quadratic Formula - When and How to Solve Quadratic Equations
Master solving quadratic equations using the quadratic formula. Learn when and how to apply this powerful technique for efficient problem-solving in algebra.
Factoring Polynomials Using the Greatest Common Factor (GCF) in Algebra
Master factoring polynomials using the Greatest Common Factor (GCF) method, a crucial skill for success in algebra and advanced mathematics.