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📰 In the 1940s Bardin began research on singularities using algebraic methods. He studied the equations that determine these singularities, proved individual finite classifications, and constructed families of singularities after systematic classification, mainly of isolated singularities. He established conjectures (later proved by Arnold) relating both classes of normal quasi-convex singularities to analytic classes. Bardin's own classifications were later found incomplete due to topological or differential subtleties, but stimulated developments in singularity theory. He was the first to use motivating examples of analytic classifications to develop formal algebraic categories, distinguishing equitional and analytic (geometric) notions. He also influenced the development of category theory, discussing Ricci equivalence (related to homological algebra) and homotopical aspects of classifications. Before and after his death Bardin continued to write about singularities, concluding a long series of papers with Coxeter and Arnold. Bardin supported rising mathematicians, including Arnold, Vladimir Arnold, Boris Gorshenin, and others. 📰 A ring of polynomials that defining a surface singularity is called a Bardin ring in his honor; Bardin–Whitney homology and cubical Bardin rings continue his work. The crater Baudardin on the Moon is named after him. 📰 Selected publications 📰 Verizon Wireless In Uniontown Pa 📰 Satisfactory Cheats 📰 Master The Art Of Reading Manga Pro Techniques You Need Now 6119966 📰 Raybans Meta 4310476 📰 Angel Shot Explained Your Secret Weapon For Glowing Skin See Why Everyones Obsessed 3059692 📰 Wells Fargo Bank Online Application 📰 Bank Of America 30 Year Fixed Mortgage Rate 📰 You Wont Believe These Tricks Of Revel Surf That Will Blow Your Mind 253375 📰 Verizon On Jefferson Road 📰 Roblox Corporation Video Game 📰 Live Nasdaq Futures 557941 📰 A Science Educator Designs A Physics Experiment Where A 3 Kg Mass Is Pushed With A 12 N Force What Is The Acceleration Of The Mass Assuming No Friction 621536 📰 Atomicreference 3861027 📰 You Wont Believe What This Beautiful Suv Delivers In 2024 3612133 📰 Boca Fiesta Gainesville Florida 7466536