Algebraic structures | Semigroup theory
Monogenic semigroup
In mathematics, a monogenic semigroup is a semigroup generated by a single element. Monogenic semigroups are also called cyclic semigroups. (Wikipedia).
Algebraic structures | Semigroup theory
In mathematics, a monogenic semigroup is a semigroup generated by a single element. Monogenic semigroups are also called cyclic semigroups. (Wikipedia).
Categories 6 Monoidal categories
This lecture is part of an online course on categories. We define strict monoidal categories, and then show how to relax the definition by introducing coherence conditions to define (non-strict) monoidal categories. We finish by defining symmetric monoidal categories and showing how super
From playlist Categories for the idle mathematician
On Class Groups of Monogenic Fields
Short Talks by Postdoctoral Members Topic: On Class Groups of Monogenic Fields Speaker: Artane Jeremie Siad Affiliation: Member, School of Mathematics September 30, 2022
From playlist Short Talks by Postdoctoral Members
Homomorphisms in abstract algebra
In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu
From playlist Abstract algebra
CU Boulder 2020 Mathematics Virtual Graduation Ceremony
Congratulations to the Mathematics Class of 2020
From playlist My Students
Clustering 1: monothetic vs. polythetic
Full lecture: http://bit.ly/K-means The aim of clustering is to partition a population into sub-groups (clusters). Clusters can be monothetic (where all cluster members share some common property) or polythetic (where all cluster members are similar to each other in some sense).
From playlist K-means Clustering
Monoclonal Antibodies | Health | Biology | FuseSchool
Antibodies are the warriors inside our body. They are part of our immune system, recognising and fighting against bad foreign invaders, called antigens. Antibodies can bind to a broad range of antigens, and are produced by cells of the immune system, known as B-cells. To learn more about
From playlist BIOLOGY: Health
Ari Shnidman: Monogenic cubic fields and local obstructions
Recording during the meeting "Zeta Functions" the December 05, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http:
From playlist Number Theory
Clustering 2: Monothetic vs polythetic
From playlist Clustering Algorithms
Monodromy of nFn−1 hypergeometric functions and arithmetic groups II - Venkataramana
Speaker: T. N. Venkataramana (TIFR) Title: Monodromy of nFn−1 hypergeometric functions and arithmetic groups II We describe results of Levelt and Beukers-Heckman on the explicit computation of monodromy for generalised hypergeometric functions of one variable. We then discuss the question
From playlist Mathematics
Non-monogenic Division Fields of Elliptic Curves, Hanson Smith
Abstract: This talk will serve as an exposition of a recent preprint investigating the division fields of elliptic curves. In this work we show that for various positive integers n there exist of infinite families of elliptic curves over Q with n-division fields, Q(E[n]), that are not mono
From playlist My Students
Monogenic fields with odd class number - Artane Jeremie Siad
Joint IAS/Princeton University Number Theory Seminar Topic: Monogenic fields with odd class number Speaker: Artane Jeremie Siad Affiliation: Princeton University; Visitor, School of Mathematics Date: November 4, 2021 In this talk, we prove an upper bound on the average number of 2-torsi
From playlist Mathematics
Arul Shankar, Ordering elliptic curves by conductor
VaNTAGe seminar, on Oct 27, 2020 License: CC-BY-NC-SA. Closed captions provided by Rachana Madhukara.
From playlist Rational points on elliptic curves
Counting Low Degree Number Fields with Almost Prescribed Successive Minima - Sameera Vemulapalli
Joint IAS/PU Number Theory Seminar Topic: Counting Low Degree Number Fields with Almost Prescribed Successive Minima Speaker: Sameera Vemulapalli Affiliation: Princeton University Date: January 26, 2023 The successive minima of an order in a degree n number field are n real numbers encod
From playlist Mathematics
Kristin Lauter, Microsoft Research Redmond The Mathematics of Modern Cryptography http://simons.berkeley.edu/talks/kristin-lauter-2015-07-07
From playlist My Collaborators
Affine symmetric spaces and 2-torsion in the class group of unit-monogenized cubic... - Artane Siad
Spring Opportunities Workshop 2023 Topic: Affine symmetric spaces and 2-torsion in the class group of unit-monogenized cubic fields Speaker:Artane Siad Affiliation: IAS Date: January 13, 2023 Davenport’s lemma has been a crucial ingredient in recent applications of geometry of numbers
From playlist Spring Opportunities Workshop 2023
Symmetric Groups (Abstract Algebra)
Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of permutations on a set of n-elements is denoted S_n. Symmetric groups capture the history of abstract algebra, provide a wide range of examples in
From playlist Abstract Algebra
CTNT 2018 - "The Tsfasman-Vladut Generalization of the Brauer-Siegel Theorem" by Farshid Hajir
This is lecture on "The Tsfasman-Vladut Generalization of the Brauer-Siegel Theorem", by Farshid Hajir (UMass Amherst), during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - Guest Lectures