Mountain View

Johanne Haugland

I am a PhD Candidate in the Algebra group in the Department of Mathematical Sciences at the Norwegian University of Science and Technology (NTNU) with Prof. Petter Andreas Bergh as my supervisor and Prof. Steffen Oppermann as my co-supervisor. My research is in the general area of representation theory of algebras, and I am particularly interested in homological and categorical aspects of this theory.

Address:  Department of Mathematical Sciences
NTNU
NO-7491 Trondheim
Norway
Office: 856, Sentralbygg 2
Email: johanne.haugland[at]ntnu.no
Representation theory of (finite dimensional) algebras
(Higher) homological algebra
Triangulated categories
Classification of subcategories
Extriangulated and n-exangulated categories
Generalized Koszul algebras

Papers and preprints

J. Haugland, The Grothendieck group of an n-exangulated category, Appl. Categ. Structures 29 (2021), no. 3, 431-446 (publication, preprint)

J. Haugland, Auslander-Reiten triangles and Grothendieck groups of triangulated categories, Algebr. Represent. Theory (2021) (publication, preprint)

J. Haugland and M.H. Sandøy, Higher Koszul Duality and connections with n-hereditary algebras (preprint)

J. Haugland, K. M. Jacobsen and S. Schroll, The role of gentle algebras in higher homological algebra (preprint)

Papers in preparation

R. Bennett-Tennenhaus, J. Haugland, M. H. Sandøy and A. Shah, Structure-preserving functors between higher exangulated categories

J. August, J. Haugland, K. M. Jacobsen, S. Kvamme, Y. Palu and H. Treffinger, title TBC (higher torsion classes)
January 2021: Together with Karin M. Jacobsen and Sibylle Schroll, I organized the one day conference Flash Talks in Representation Theory at NTNU.

November 2020: Together with Aslak Bakke Buan, Sigrid Grepstad, Sibylle Schroll and Therese Strand, I organized the meeting "Women in Pure Mathematics in Trondheim".

Fall 2020: I participated in the Junior Trimester Program New Trends in Representation Theory at the Hausdorff Research Institute for Mathematics (HIM) in Bonn from September 1st to December 11th.

I have a pedagogical education and experience as a teacher in lower secondary school. I have also taught the following courses at NTNU:

Fall 2018: TMA4100 Matematikk 1 (interactive lectures)
Spring 2019: TMA4150 Algebra
Spring 2021: TMA4150 Algebra (together with Øyvind Solberg)
I have supervised teacher students in pedagogical training.

I was a mentor in a mentoring program for master students in Mathematical Sciences from August 2019 to June 2020, and I am also a mentor for new PhD students in mathematics at NTNU.

In mathematical sciences, I have supervised the following students:

Johan Vik Mathisen: Bachelor's thesis, An introduction to triangulated categories via the stable category of a Frobenius category

Conference talks

August 2022 (upcoming): Invited talk in the special session on representation theory, Nordic Congress of Mathematicians, Helsinki, FI.

March 2021: Functors and subcategories of n-exangulated categories, Additive categories between algebra and functional analysis, online

September 2020: Subcategories of n-exangulated categories, Categorifications in Representation Theory, Leicester, UK (online).

March 2020: Auslander-Reiten triangles and Grothendieck groups of triangulated categories, Topics in Category Theory: A Spring School, Edinburgh, UK.

September 2018: Classification of subcategories, Nasjonalt matematikermøte (national meeting of mathematicians), 10 minutes talk, Bergen, NO.

August 2018: Subcategories of the derived category of a quantum polynomial ring, XVIII International Conference on Representations of Algebras (ICRA), Prague, CZ.

Seminar talks

September 2021 (upcoming): Title TBA, FD Seminar (online)

April 2021: Higher Koszul duality and connections with n-hereditary algebras, Cologne Algebra Seminar, Cologne, DE (online)

April 2021: Higher Koszul duality and connections with n-hereditary algebras, Representation Theory and Related Topics Seminar at Northeastern University, Boston, US (online)

March 2021: Functors and subcategories of n-exangulated categories, NTNU algebra seminar, Trondheim, NO (online)

November 2020: Examples in higher homological algebra, Women in Pure Mathematics in Trondheim, 10 minutes talk, Trondheim, NO (online).

March 2020: Grothendieck groups, Deltas matteklubb (seminar by local student association), Trondheim, NO.

January 2020: Extriangulated categories – functors and subcategories, PITA seminar (Problems I Think About), Trondheim, NO.

October 2019: Coherent functors, Algebra learning seminar, Trondheim, NO.

February 2019: Introduction to algebraic geometry, Algebra learning seminar, Trondheim, NO.

October 2018: Introduction to dg-categories, Algebra learning seminar, Trondheim, NO.

October 2018: United representation rings of finite groups, StudForsk-konferansen (student research conference), 10 minutes talk, Trondheim, NO.

October 2017: The Hopkins-Neeman theorem, BIKES (student seminar in commutative algebra), Salt Lake City, US.

Short communications

May 2021: Higher Koszul duality and connections with n-hereditary algebras, Advances in Representation Theory of Algebras (ARTA), accepted contribution, 10 minutes video, online

November 2020: Subcategories of n-exangulated categories, Workshop and International Conference on Representations of Algebras (ICRA), online