Navigation

  • Skip to Content
NTNU Home NTNU Home

ntnu.edu

  • Studies
    • Master's programmes in English
    • For exchange students
    • PhD opportunities
    • All programmes of study
    • Courses
    • Financing
    • Language requirements
    • Application process
    • Academic calendar
    • FAQ
  • Research and innovation
    • NTNU research
    • Research excellence
    • Strategic research areas
    • Innovation resources
    • PhD opportunities
  • Life and housing
    • Student in Trondheim
    • Student in Gjøvik
    • Student in Ålesund
    • For researchers
    • Life and housing
  • About NTNU
    • Contact us
    • Faculties and departments
    • Libraries
    • International researcher support
    • Vacancies
    • About NTNU
    • Maps
  1. Employees

Språkvelger

Norsk

Rune Haugseng

Download press photo
Download press photo
Foto:

Rune Haugseng

Professor
Department of Mathematical Sciences

rune.haugseng@ntnu.no
+4773412408 Sentralbygg 2, 1250, Gløshaugen
Personal home page
About Publications

About

For more information see my home page.

Competencies

  • Higher category theory
  • Homotopy theory

Publications

  • Chronological
  • By category
  • See all publications in Cristin

2025

  • Cnossen, Bastiaan; Haugseng, Rune; Lenz, Tobias; Linskens, Sil. (2025) Homotopical commutative rings and bispans. Journal of the London Mathematical Society
    Academic article

2024

  • Martini, Louis; Haugseng, Rune; Quick, Gereon. (2024) Internal Higher Category Theory. Doctoral theses at NTNU (251)
    Doctoral dissertation
  • Haugseng, Rune Gjøringbø; Kock, Joachim. (2024) ∞-operads as symmetric monoidal ∞-categories. Publicacions matemàtiques
    Academic article

2023

  • Haugseng, Rune; Hebestreit, Fabian; Linskens, Sil; Nuiten, Joost. (2023) Two-variable fibrations, factorisation systems and -categories of spans. Forum of Mathematics, Sigma
    Academic article
  • Elmanto, Elden; Haugseng, Rune. (2023) On distributivity in higher algebra I: The universal property of bispans. Compositio Mathematica
    Academic article
  • Haugseng, Rune; Hebestreit, Fabian; Linskens, Sil; Nuiten, Joost. (2023) Lax monoidal adjunctions, two-variable fibrations and the calculus of mates. Proceedings of the London Mathematical Society
    Academic article

2022

  • Chu, Hongyi; Haugseng, Rune. (2022) Free algebras through Day convolution. Algebraic and Geometric Topology
    Academic article
  • Haugseng, Rune. (2022) On (co)ends in ∞-categories. Journal of Pure and Applied Algebra
    Academic article
  • Gepner, David; Haugseng, Rune; Kock, Joachim. (2022) ∞-Operads as Analytic Monads. International Mathematics Research Notices (IMRN)
    Academic article

2021

  • Haugseng, Rune. (2021) Segal spaces, spans, and semicategories. Proceedings of the American Mathematical Society
    Academic article
  • Haugseng, Rune. (2021) ∞ -Operads via symmetric sequences. Mathematische Zeitschrift
    Academic article
  • Haugseng, Rune. (2021) On lax transformations, adjunctions, and monads in (∞,2)-categories. Higher Structures
    Academic article
  • Chu, Hongyi; Haugseng, Rune. (2021) Homotopy-coherent algebra via Segal conditions. Advances in Mathematics
    Academic article

2020

  • Haugseng, Rune; Melani, Valerio; Safronov, Pavel. (2020) Shifted coisotropic correspondences. Journal of the Institute of Mathematics of Jussieu
    Academic article
  • Chu, Hongyi; Haugseng, Rune. (2020) Enriched ∞-operads. Advances in Mathematics
    Academic article

2018

  • Haugseng, Rune Gjøringbø; Gwilliam, Owen. (2018) Linear Batalin-Vilkovisky quantization as a functor of ∞-categories . Selecta Mathematica, New Series
    Academic article
  • Haugseng, Rune Gjøringbø. (2018) Iterated spans and classical topological field theories. Mathematische Zeitschrift
    Academic article
  • Haugseng, Rune Gjøringbø; Chu, Hongyi; Heuts, Gijs. (2018) Two models for the homotopy theory of ∞-operads . Journal of Topology
    Academic article
  • Haugseng, Rune Gjøringbø. (2018) On the equivalence between $\Theta_n$-spaces and iterated Segal spaces. Proceedings of the American Mathematical Society
    Academic article

2017

  • Haugseng, Rune Gjøringbø. (2017) The higher Morita category of $E_n$-algebras. Geometry and Topology
    Academic article
  • Haugseng, Rune Gjøringbø; Gepner, David; Nikolaus, Thomas. (2017) Lax colimits and free fibrations in ∞-categories . Documenta Mathematica
    Academic article

2016

  • Haugseng, Rune Gjøringbø; Miller, Haynes. (2016) On a spectral sequence for the cohomology of infinite loop spaces . Algebraic and Geometric Topology
    Academic article
  • Haugseng, Rune Gjøringbø. (2016) Bimodules and natural transformations for enriched ∞-categories. Homology, Homotopy and Applications
    Academic article

2015

  • Haugseng, Rune Gjøringbø; Gepner, David. (2015) Enriched ∞-categories via non-symmetric ∞-operads . Advances in Mathematics
    Academic article
  • Haugseng, Rune Gjøringbø. (2015) Rectification of enriched ∞-categories. Algebraic and Geometric Topology
    Academic article

Journal publications

  • Cnossen, Bastiaan; Haugseng, Rune; Lenz, Tobias; Linskens, Sil. (2025) Homotopical commutative rings and bispans. Journal of the London Mathematical Society
    Academic article
  • Haugseng, Rune Gjøringbø; Kock, Joachim. (2024) ∞-operads as symmetric monoidal ∞-categories. Publicacions matemàtiques
    Academic article
  • Haugseng, Rune; Hebestreit, Fabian; Linskens, Sil; Nuiten, Joost. (2023) Two-variable fibrations, factorisation systems and -categories of spans. Forum of Mathematics, Sigma
    Academic article
  • Elmanto, Elden; Haugseng, Rune. (2023) On distributivity in higher algebra I: The universal property of bispans. Compositio Mathematica
    Academic article
  • Haugseng, Rune; Hebestreit, Fabian; Linskens, Sil; Nuiten, Joost. (2023) Lax monoidal adjunctions, two-variable fibrations and the calculus of mates. Proceedings of the London Mathematical Society
    Academic article
  • Chu, Hongyi; Haugseng, Rune. (2022) Free algebras through Day convolution. Algebraic and Geometric Topology
    Academic article
  • Haugseng, Rune. (2022) On (co)ends in ∞-categories. Journal of Pure and Applied Algebra
    Academic article
  • Gepner, David; Haugseng, Rune; Kock, Joachim. (2022) ∞-Operads as Analytic Monads. International Mathematics Research Notices (IMRN)
    Academic article
  • Haugseng, Rune. (2021) Segal spaces, spans, and semicategories. Proceedings of the American Mathematical Society
    Academic article
  • Haugseng, Rune. (2021) ∞ -Operads via symmetric sequences. Mathematische Zeitschrift
    Academic article
  • Haugseng, Rune. (2021) On lax transformations, adjunctions, and monads in (∞,2)-categories. Higher Structures
    Academic article
  • Chu, Hongyi; Haugseng, Rune. (2021) Homotopy-coherent algebra via Segal conditions. Advances in Mathematics
    Academic article
  • Haugseng, Rune; Melani, Valerio; Safronov, Pavel. (2020) Shifted coisotropic correspondences. Journal of the Institute of Mathematics of Jussieu
    Academic article
  • Chu, Hongyi; Haugseng, Rune. (2020) Enriched ∞-operads. Advances in Mathematics
    Academic article
  • Haugseng, Rune Gjøringbø; Gwilliam, Owen. (2018) Linear Batalin-Vilkovisky quantization as a functor of ∞-categories . Selecta Mathematica, New Series
    Academic article
  • Haugseng, Rune Gjøringbø. (2018) Iterated spans and classical topological field theories. Mathematische Zeitschrift
    Academic article
  • Haugseng, Rune Gjøringbø; Chu, Hongyi; Heuts, Gijs. (2018) Two models for the homotopy theory of ∞-operads . Journal of Topology
    Academic article
  • Haugseng, Rune Gjøringbø. (2018) On the equivalence between $\Theta_n$-spaces and iterated Segal spaces. Proceedings of the American Mathematical Society
    Academic article
  • Haugseng, Rune Gjøringbø. (2017) The higher Morita category of $E_n$-algebras. Geometry and Topology
    Academic article
  • Haugseng, Rune Gjøringbø; Gepner, David; Nikolaus, Thomas. (2017) Lax colimits and free fibrations in ∞-categories . Documenta Mathematica
    Academic article
  • Haugseng, Rune Gjøringbø; Miller, Haynes. (2016) On a spectral sequence for the cohomology of infinite loop spaces . Algebraic and Geometric Topology
    Academic article
  • Haugseng, Rune Gjøringbø. (2016) Bimodules and natural transformations for enriched ∞-categories. Homology, Homotopy and Applications
    Academic article
  • Haugseng, Rune Gjøringbø; Gepner, David. (2015) Enriched ∞-categories via non-symmetric ∞-operads . Advances in Mathematics
    Academic article
  • Haugseng, Rune Gjøringbø. (2015) Rectification of enriched ∞-categories. Algebraic and Geometric Topology
    Academic article

Report

  • Martini, Louis; Haugseng, Rune; Quick, Gereon. (2024) Internal Higher Category Theory. Doctoral theses at NTNU (251)
    Doctoral dissertation

NTNU – Norwegian University of Science and Technology

  • For employees
  • |
  • For students
  • |
  • Intranet
  • |
  • Blackboard

Studies

  • Master's programmes in English
  • For exchange students
  • PhD opportunities
  • Courses
  • Career development
  • Continuing education
  • Application process

News

  • NTNU News
  • Vacancies

About NTNU

  • About the university
  • Libraries
  • NTNU's strategy
  • Research excellence
  • Strategic research areas
  • Organizational chart

Contact

  • Contact NTNU
  • Employees
  • Find experts
  • Press contacts
  • Researcher support
  • Maps

NTNU in three cities

  • NTNU in Gjøvik
  • NTNU in Trondheim
  • NTNU in Ålesund

About this website

  • Use of cookies
  • Accessibility statement
  • Privacy policy
  • Editorial responsibility
Facebook Instagram Linkedin Snapchat Tiktok Youtube
Sign In
NTNU logo