~/talks

Vlad Patryshev

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titleconferencedate
Explaining Lambda Calculus through Plain JavaScriptCarolina Code Conference 20242024-08-23
Claims that Lambda Calculus maps directly into JavaScript implementations of lambda terms, shows concrete encodings: Church booleans, Church numerals, pairs…
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Algebraic Data Types, CategoricallyScale By the Bay 20212021-10-28
Claims that algebraic data types are precisely models of Lawvere (algebraic) theories and that these models appear as polynomial functors with arrows p(X) → X…
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Functional implementation of Finger Trees in JavaScriptScale By the Bay 20202020-11-12
A complete, purely functional Finger Tree implemented in a narrow subset of JavaScript and demonstrated inside an ObservableHQ workbook, including cons and…
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Calculating Intuitionistic Logic in ScalaLambdaConf 20192019-06-05
A working Scala library takes a finite category, builds the topos of diagrams (presheaves) over it, and computes Ω (subobject classifier) by enumerating…
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Classical Category Theory in Plain ScalaScale By The Bay 20182018-11-15
Scala code implements a full implementation of small categories (objects, arrows, identities, composition), graphs, functors, natural transformations, cones…
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InterviewScale By The Bay 20182018-11-15
Built an interoperability layer connecting Salesforce core storage to ML pipelines that maps and preserves every field type and representation for downstream…
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A Gentle Introduction to Modern Model TheoryLambdaConf 20182018-06-03
Modern model theory makes a concrete claim: separate theory from model and split algebraic vs geometric theories, and category theory need not rest on set…
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Functional Linear Algebra in ScalaScale By the Bay 20172017-11-16
Claims a type-safe, functional linear-algebra layer in Scala that prevents mixing dimensions at compile time, finds real bugs, and supports practical PCA and…
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Vlad Patryshev InterviewScale By the Bay 20172017-11-16
A production system on AWS processes incoming data as streams and requires layered aggregations per minute, hour, week and year, forcing a choice between store…
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Intuitionistic Logic III Subschemas and TopologiesLambdaConf 20172017-05-25
Explains how Grothendieck topologies are implemented as closure operations on the subobject classifier Omega and uses small categories/diagrams as concrete…
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Introduction to Intuitionistic Type TheoryLambdaConf 20152015-05-22
Claims a workable type theory that drops sets and the law of excluded middle and uses Topos Theory and category constructions to get dependent types and logic…
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