Faculty

Institution

Unit

Venue

Julia Bergner

Professor

University of Virginia

Affiliations

College and Graduate School of Arts and Sciences

Department of Mathematics

Julia Bergner is currently serving as a College And Graduate School Of Arts And Sciences Professor at University of Virginia.

Honors

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Experiences

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Education

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Julia Bergner

University of Virginia

Professor

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mathematics category theory higher category theory algebraic topology topology categorical model mathematical sciences geometric topology homological algebra algebra applied mathematics group theory pure mathematics group representation combinatorial theory model theory segal categories homotopy theory topological algebra abstract algebra lie group topological properties simplicial monoids model category model categories quillen equivalences group actions mathematical logic discrete algorithms categorical logic group structure nilpotent groups lie theory theoretical modeling loop space enumerative combinatorics algebraic graph theory geometric graph theory different definitions reedy categories quillen equivalent annotation encoding= invertible homotopy theories p-toral subgroups problematic subgroups linguistics systems biology general systems logic in computer science group process polyhedron tree physiology horticulture research plant science function spaces spectral theory theoretical physics knot theory ordered group algebraic structures directed graphs cluster algebras wood formation arboriculture tree growth computational topology topological data analysis planar graphs set-theoretic topology complex geometry discrete structures analytic number theory weak equivalences model category structure

Notable Scholarly Works

Notable Federal Grants

Collaborators

2-Segal Sets From Cuts of Rooted Trees. Topology and its Applications (2025)

Julia E. BergnerOlivia BorghiPinka DeyImma Gálvez-CarrilloTeresa Hoekstra-Mendoza

tree physiologytopologyrooted treesplant scienceenvironmental sciencecomputational topologytree growthgeometry and topologywood formationgraph theoryearth sciencehorticulture researchsystems biologytopological data analysisbotanyarboriculturegeometric topologycomputational geometry

An Explicit Comparison Between 2–Complicialsets and Θ2–Spaces. Algebraic & Geometric Topology (2024)

Julia E BergnerViktoriya OzornovaMartina Rovelli

topologygeometry and topologyset-theoretic topologytopological algebracomplex geometryalgebraic geometrytopological propertiesmathematicsalgebraic topologygeometric topologygeometry

Discreteness and Completeness for ΘN-Models of(∞,N)-Categories. Tunisian Journal of Mathematics (2024)

Julia E. Bergner

combinatorial theoryhigher category theoryanalytic number theorydiscrete mathematicsdiscrete structuresgroup theorygeometry of numbersspectral theorynumber theoryalgebraic geometrycategory theoryapplied mathematicsmathematicsdiscrete algorithmsmodel theory

Enriched Functor Categories for Functor Calculus. Topology and its Applications (2022)

Lauren BandklayderJulia E. BergnerRhiannon GriffithsBrenda JohnsonRekha Santhanam

categorical modelhigher category theorypure mathematicshomological algebraenriched functor categoriesalgebracategory theorymathematical sciencesmathematics

2–Segal Objects and the Waldhausen Construction. Algebraic & Geometric Topology (2021)

Julia E BergnerAngélica M OsornoViktoriya OzornovaMartina RovelliClaudia I Scheimbauer

categorical modeltopologyhigher category theoryhomological algebramodel categorystable doublequillen equivalencecategory theorymathematical sciencesmathematicsalgebraic topology

Action Graphs, Rooted Planar Forests, and Self-Convolutions of the Catalan Numbers. Involve a Journal of Mathematics (2021)

Julia E. BergnerCedric HarperRyan KellerMathilde Rosi-Marshall

combinatorial theoryplanar forestsdiscrete mathematicsenumerative combinatoricscombinatoricsgraph theoryalgebraic graph theorycatalan numbersplanar graphsmathematical sciencesaction graphsapplied mathematicsmathematicsgeometric graph theory

An Explicit Comparison Between $2$-Complicial Sets and $\Theta_2$-Spaces. arXiv (Cornell University) (2021)

Julia E. BergnerViktoriya OzornovaMartina Rovelli

categorical modeltopologyhigher category theorycomplete segal-complicial setscategory theorydirect quillen equivalencemathematicsalgebraic topology

Comparison of Waldhausen Constructions. Annals of K-Theory (2021)

Julia E. BergnerAngélica M. OsornoViktoriya OzornovaMartina RovelliClaudia I. Scheimbauer

categorical modelhigher category theorygeneralized waldhausenwaldhausen constructionshomological algebraalgebracategory theorymathematicsalgebraic topologyexact functors

A Survey of Models for (∞, N)-Categories. Chapman and Hall/CRC eBooks (2020)

Julia E. Bergner

categorical modelhigher category theorymathematical sciencescategory theorymathematics

Comparison of Models for (∞,N)‐Categories, II. Journal of Topology (2020)

Julia E. BergnerCharles Rezk

combinatorial theorycategorical modelhigher category theoryexplicit quillen equivalencespure mathematicshomological algebramodel categoryalgebracategory theoryapplied mathematicsmathematicsalgebraic topologyquillen equivalencesmodel theory

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Julia Bergner

Professor

University of Virginia

Affiliations

College and Graduate School of Arts and Sciences

Department of Mathematics

Julia Bergner is currently serving as a College And Graduate School Of Arts And Sciences Professor at University of Virginia.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Julia Bergner

University of Virginia

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

2-Segal Sets From Cuts of Rooted Trees. Topology and its Applications (2025)

Julia E. BergnerOlivia BorghiPinka DeyImma Gálvez-CarrilloTeresa Hoekstra-Mendoza

An Explicit Comparison Between 2–Complicialsets and Θ2–Spaces. Algebraic & Geometric Topology (2024)

Julia E BergnerViktoriya OzornovaMartina Rovelli

topologygeometry and topologyset-theoretic topologytopological algebracomplex geometryalgebraic geometrytopological propertiesmathematicsalgebraic topologygeometric topologygeometry

Discreteness and Completeness for ΘN-Models of(∞,N)-Categories. Tunisian Journal of Mathematics (2024)

Julia E. Bergner

Enriched Functor Categories for Functor Calculus. Topology and its Applications (2022)

Lauren BandklayderJulia E. BergnerRhiannon GriffithsBrenda JohnsonRekha Santhanam

categorical modelhigher category theorypure mathematicshomological algebraenriched functor categoriesalgebracategory theorymathematical sciencesmathematics

2–Segal Objects and the Waldhausen Construction. Algebraic & Geometric Topology (2021)

Julia E BergnerAngélica M OsornoViktoriya OzornovaMartina RovelliClaudia I Scheimbauer

categorical modeltopologyhigher category theoryhomological algebramodel categorystable doublequillen equivalencecategory theorymathematical sciencesmathematicsalgebraic topology

Action Graphs, Rooted Planar Forests, and Self-Convolutions of the Catalan Numbers. Involve a Journal of Mathematics (2021)

Julia E. BergnerCedric HarperRyan KellerMathilde Rosi-Marshall

An Explicit Comparison Between $2$-Complicial Sets and $\Theta_2$-Spaces. arXiv (Cornell University) (2021)

Julia E. BergnerViktoriya OzornovaMartina Rovelli

categorical modeltopologyhigher category theorycomplete segal-complicial setscategory theorydirect quillen equivalencemathematicsalgebraic topology

Comparison of Waldhausen Constructions. Annals of K-Theory (2021)

Julia E. BergnerAngélica M. OsornoViktoriya OzornovaMartina RovelliClaudia I. Scheimbauer

categorical modelhigher category theorygeneralized waldhausenwaldhausen constructionshomological algebraalgebracategory theorymathematicsalgebraic topologyexact functors

A Survey of Models for (∞, N)-Categories. Chapman and Hall/CRC eBooks (2020)

Julia E. Bergner

categorical modelhigher category theorymathematical sciencescategory theorymathematics

Comparison of Models for (∞,N)‐Categories, II. Journal of Topology (2020)

Julia E. BergnerCharles Rezk

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geometric representation

representation theory

Thomas Koberda

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Cornell University

mathematical logic

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coxeter group

property tau

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geometry

topology