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Kai Behrend: Works & Science

Kai A. Behrend is a German mathematician. He is a professor at the University of British Columbia in Vancouver, British Columbia, Canada.

Language: English [EN]
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Kai Behrend topic overview

The analysis highlights Works and Science as prominent areas in the source structure around Kai Behrend.

Related topics
21
Source areas
2
Connected nodes
23
Extracted relationships
10
Concept neighborhoods
17
Bridge connections
23

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 14 topics
Selected publications · 7 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Known for
Behrend function Behrend's trace formula Perfect obstruction theory
Alma mater
University of California, Berkeley Harvard University
Born
Hamburg, Germany
Doctoral advisor
Arthur Ogus
Fields
Mathematics
Other academic advisors
Günter Harder

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Selected publications

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Kai Behrend connects Entity context

The extracted context around Kai Behrend shows recurring relationship patterns in the source. For example, Kai Behrend → Kai BehrendKai Behrend, Mathematics Genealogy Project, The Another extracted example is Kai Behrend → University of California, Berkeley Harvard University. Use these groups to spot repeated connection types before inspecting the individual relationships.

Kai Behrend

Top relations

related to External links · 3
Kai Behrend → Kai BehrendKai Behrend, Mathematics Genealogy Project, The
Alma mater · 1
Kai Behrend → University of California, Berkeley Harvard University
Born · 1
Kai Behrend → Hamburg, Germany
Doctoral advisor · 1
Kai Behrend → Arthur Ogus
Fields · 1
Kai Behrend → Mathematics
Known for · 1
Kai Behrend → Behrend function Behrend's trace formula Perfect obstruction theory
Other academic advisors · 1
Kai Behrend → Günter Harder
Workplaces · 1
Kai Behrend → Massachusetts Institute of Technology University of British Columbia

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

behrend doi 10 invariants algebraic stacks issn mathematical university kai geometry american society also s2cid mathematics british columbia theory function

Kai Behrend relationships Subject–Predicate–Object triples

TTTA extracted 10 structured relationships around Kai Behrend. Examples in this analysis include Kai Behrend → Alma mater → University of California, Berkeley Harvard University and Kai Behrend → Born → Hamburg, Germany. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Kai BehrendAlma materUniversity of California, Berkeley Harvard University1.00infobox
Kai BehrendBornHamburg, Germany1.00infobox
Kai BehrendDoctoral advisorArthur Ogus1.00infobox
Kai BehrendFieldsMathematics1.00infobox
Kai BehrendKnown forBehrend function Behrend's trace formula Perfect obstruction theory1.00infobox
Kai BehrendOther academic advisorsGünter Harder1.00infobox
Kai BehrendWorkplacesMassachusetts Institute of Technology University of British Columbia1.00infobox
Kai Behrendrelated to External linksThe0.60section
Kai Behrendrelated to External linksKai BehrendKai Behrend0.60section
Kai Behrendrelated to External linksMathematics Genealogy Project0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Kai Behrend bring nearby vocabulary together. In this analysis, examples include Invariants, Donaldson-thomas and Function. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Kai Behrend
    • Invariants
    • Donaldson-thomas
    • Function
    • Gromov-witten
    • Kai
    • Mathematics
    • Stacks
    • Org
    • Behrend's
    • British
    • Columbia
    • Formula
  • kai behrend
    • Mathematics
    • Invariants
    • Donaldson-thomas
    • Function
    • Gromov-witten
    • Kai
    • Stacks
    • Org
    • Behrend's
    • British
    • Columbia
    • Formula
  • behrend function
    • Mathematics
    • Donaldson-thomas
    • Invariants
    • Known
    • Theory
    • Trace
    • Function
    • Gromov-witten
    • Inventiones
    • Mathematicae
    • University
    • Kai
  • university of british columbia
    • Columbia
    • British
    • University
    • Behrend's
    • Donaldson-thomas
    • Formula
    • Function
    • Known
    • Theory
    • Trace
    • Inventiones
    • Mathematicae
  • algebraic geometry
    • Stacks
    • Geometry
    • Invariants
    • Org
    • Donaldson-thomas
    • Gromov-witten
    • Theory
    • Mathematics
    • Media
    • Also
    • Behrend
    • Behrend's
  • algebraic stacks
    • Stacks
    • Geometry
    • Invariants
    • Org
    • Also
    • Behrend
    • Behrend's
    • Donaldson-thomas
    • Formula
    • Gromov-witten
    • Known
    • Theory
  • gromov–witten invariants
    • Donaldson-thomas
    • Gromov-witten
    • Theory
    • Mathematics
    • Behrend
    • Stacks
    • Org
    • Behrend's
    • Formula
    • Function
    • Known
    • Trace
  • vancouver, british columbia
    • Columbia
    • University
    • Behrend's
    • Donaldson-thomas
    • Formula
    • Function
    • Known
    • Theory
    • Trace
    • Inventiones
    • Mathematicae
    • Mathematics

Connections between topic areas Semantic bridges

For Kai Behrend, one of the stronger structural bridges in this analysis connects Kai Behrend with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Kai BehrendOverview · splits 9 ⟂ 15
Kai BehrendSelected publications · splits 16 ⟂ 8

Map overview Semantic statistics

Kai Behrend

Nodes24
Edges23
Triples10
Avg. degree1.92
Density0.083333
Components1

Source & methodology

TTTA analyzes the structure around Kai Behrend to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Works & Science, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Kai Behrend · EN edition · Analysis: TopicsToTalkAbout

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