Abstract Algebra
Explore fundamental concepts of abstract algebra, including sets, relations, operations, groups, and advanced topics like homomorphisms, cosets, and group actions.
Abstract Algebra
Comprehensive introduction to abstract algebra, covering symmetries, groups, isomorphisms, and more. Follows Gallian's text with accompanying slide decks for in-depth understanding.
Abstract Algebra
Explore fundamental concepts of abstract algebra, including groups, rings, fields, and vector spaces, with a focus on definitions, examples, and key theorems.
Coding Theory
This course provides an introduction to traditional and modern coding theory. Topics covered include linear block codes, cyclic codes (BCH and RS codes), convolutional codes, turbo codes and low-density parity-check (LDPC) codes.
Modern Algebra
Explore fundamental concepts and advanced topics in modern algebra through a comprehensive series of lectures by Prof. Manindra Agrawal, covering key principles and applications.
Algebra 1
Foundational PG level course in Algebra, suitable for M.Sc and first-year Ph.D. students in Mathematics. Learn Permutations. Group Axioms. Order and Conjugacy. Subgroups. Problem solving. Group Actions. Cosets. Group Homomorphisms. Normal subgroups. Quti…
Computational Commutative Algebra
This is an introductory course in computational commutative algebra. Topics in a typical first course in commutative algebra are developed along with computations in Macaulay2. The emphasis will be on concrete computations, more than on giving complete p…
A Polynomial Bogolyubov-Type Result for the Special Linear Group
Explore a mathematical lecture on a polynomial Bogolyubov-type result for the special linear group. Delve into the analogy between subset properties in finite dimensional vector spaces and the special linear group over a finite field. Learn about the ach…
Computation as Semigroups, Computing Semigroups
Explore the intersection of semigroups, computation, and functional programming. Gain insights into mathematical foundations of software engineering from a unique perspective.
The Weil Conjectures and A1-homotopy Theory
Dive into the Weil Conjectures and A1-homotopy theory, exploring connections between algebraic topology and finite field equations in this mathematical colloquium.
Representations of Reductive Groups Over Local and Global Fields
Dive into Langlands' theory of reductive groups and their representations in number theory, exploring local and global fields and their connections to arithmetic and geometry.
Abstract Algebra - Polynomial Rings
Explora el álgebra abstracta con enfoque en anillos polinomiales, algoritmo de división, polinomios irreducibles y criterio de Eisenstein.
Assorted Group Theory
Explore the fascinating world of group theory, delving into complex orders and the intriguing connections between abstract algebra and geometric shapes.
Abstract Algebra Integral Domains
Explore advanced concepts in integral domains, including fractions, primes, factorization, and various domain types. Gain deep insights into abstract algebra principles and their applications.
Group Theory
Comprehensive exploration of group theory, covering key concepts from basic definitions to advanced topics like Sylow theorems, ideal for mathematics and engineering students.
Special Topics in Linear Algebra
Explore advanced linear algebra topics including least squares approximation, error-correcting codes, functional calculus, affine transformations, stochastic maps, and C*-algebras.
Poisson Brackets, Non-Canonical Hamiltonian Systems and Euler's Rigid Body Equations
Explore Poisson brackets, non-canonical Hamiltonian systems, and Euler's rigid body equations in this advanced dynamics lecture. Gain insights into abstract algebra, Lie algebra, and their applications in physics and mechanics.
Group Theory, Abstraction, and the 196,883-Dimensional Monster
Explore group theory, abstraction, and the fascinating 196,883-dimensional monster group in this engaging introduction to mathematical symmetry and classification.
Associativity Testing - Ben Green
Explore associativity testing in discrete mathematics, covering key concepts, theorems, and applications in group theory and additive combinatorics.
Substitutions in Non-Commutative Multivariate Power Series
Explore group laws on non-commutative formal power series, their structures, and applications in non-commutative probability theory through a Hopf algebraic approach.
Hidden Symmetries of the Work of Jan Nekovář
Explorez les principes unificateurs de la recherche de Jan Nekovar, des systèmes d'Euler aux variétés de Shimura quaternioniques, en passant par les résultats de parité pour les fonctions L.