Axel Hultman

Professor

I conduct research in algebraic, topological, and geometric combinatorics. In particular, I have a soft spot for Coxeter groups.

Publications

2023

Axel Hultman, Vincent Umutabazi (2023)

Boolean Complexes of Involutions Annals of Combinatorics, Vol. 27, p. 129-147 (Article in journal)

https://dx.doi.org/10.1007/s00026-022-00629-9

2022

Axel Hultman, Vincent Umutabazi (2022)

Smoothness of Schubert varieties indexed by involutions in finite simply laced types Seminaire Lotharingien de Combinatoire, Vol. 84, Article B84b (Article in journal)

2019

Nancy Abdallah, Mikael Hansson, Axel Hultman (2019)

Topology of posets with special partial matchings Advances in Mathematics, Vol. 348, p. 255-276 (Article in journal)

https://dx.doi.org/10.1016/j.aim.2019.02.031

Mikael Hansson, Axel Hultman (2019)

A word property for twisted involutions in Coxeter groups Journal of combinatorial theory. Series A (Print), Vol. 161, p. 220-235 (Article in journal)

https://dx.doi.org/10.1016/j.jcta.2018.07.006

2018

Nancy Abdallah, Axel Hultman (2018)

Combinatorial invariance of Kazhdan-Lusztig-Vogan polynomials for fixed point free involutions Journal of Algebraic Combinatorics, Vol. 47, p. 543-560 (Article in journal)

https://dx.doi.org/10.1007/s10801-017-0785-z

Research

Jgmoxness, CC BY-SA 4.0 <https://creativecommons.org/licenses/by-sa/4.0>, via Wikimedia Commons

Algebraic Combinatorics

The practitioners of algebraic combinatorics are interested in combinatorial aspects of algebraic objects in order to explain, make concrete, and describe their properties.

Organisation

A tiling of the hyperbolic plane. CRED: By Claudio Rocchini - Own work, CC BY 2.5, https://commons.wikimedia.org/w/index.php?curid=1669501.

Algebra, Geometry and Discrete Mathematics (ALGD)

Our research focuses on a number of different subject areas such as algebra, geometry, topology, dynamic systems, combinatorics and graph theory. The division consists of about twenty teachers, researchers and doctoral students.

Department of Mathematics (MAI)

The department conducts research in computational mathematics, mathematics and applied mathematics, mathematical statistics, and optimization. We provide courses to students in most degree programmes in mathematics, science and engineering.

Studenthuset on Campus Valla in Linköping

About LiU

Linköping University, LiU, offers innovative education and boundary-crossing research. The students are among the most desirable in the labour market and international rankings consistently place LiU as a leading global university.