Jan Snellman
Associate Professor, Docent
My research lies at the intersection of algebraic combinatorics, commutative algebra and elementary number theory, with a focus on monomial ideals, posets and simplicial complexes.
CV
Education
- Licentiate of Philosophy (filosofie licentiat, fil.lic.) in Mathematics, Stockholm University, 1996 — the Swedish intermediate postgraduate degree, roughly half a doctorate.
- PhD in Mathematics (filosofie doktor, fil.dr), Stockholm University, 1998. Thesis: A graded subring of an inverse limit of polynomial rings. Advisor: Jörgen Backelin.
- Docent, Linköping University, 21 November 2006.
Appointments
- 1996–1998 — Cryptography, Försvarets radioanstalt (FRA), the Swedish National Defence
Radio Establishment. - 1998–1999 — Postdoctoral researcher (stagiaire post-doc), Laboratoire GAGE, École
Polytechnique, Palaiseau, France. About a year, from the autumn of 1998. Funded by Centre
International des Étudiants et Stagiaires and Svenska institutet. Laboratory head: Marc Giusti; host: Guillermo Moreno-Socías. - 1999–2000 — Postdoctoral researcher, School of Informatics, University of Wales, Bangor.
Autumn 1999 to late summer 2000. Group leader: Ronnie Brown. - 2000–2001 — Temporary lecturer, Department of Mathematics (MAI), Linköping University, from the start of the autumn 2000 term.
- 2001–2005 — Forskarassistent, Department of Mathematics, Stockholm University, from
late 2001. - 2005–present — Universitetslektor, Department of Mathematics (MAI), Linköping University.
Research programmes
Spring 2005 — participant, the semester programme on Algebraic Combinatorics,
Institut Mittag-Leffler.
Doctoral students
- Jonna Gill, 2013 — The k-assignment polytope, phylogenetic trees, and permutation
patterns. Principal supervisor. - Mikael Hansson, 2018 — Combinatorics and topology related to involutions in Coxeter
groups. Assistant supervisor. - Vincent Umutabazi, 2022 — Boolean complexes of involutions and smooth intervals in Coxeter groups. Assistant supervisor.
Bachelor's and Master's thesis students, as advisor
At Stockholm University
- Michael Paulsen, 2003 — Enumerativa egenskaper för konkava partitioner av heltal.Parts published in Journal of Integer Sequences 7 (2004).
- Elin Gawell, 2005 — Rings of arithmetic functions with regular convolutions.
At Linköping University
- Kåre Krig, 2010 — Methods for phylogenetic analysis (Master's; with Svante Linusson)
- Olle Abrahamsson, 2016 — A Gröbner basis algorithm for fast encoding of Reed–Müller codes
- Ludwig Rahm, 2017 — Generating functions and regular languages of walks with modular
restrictions in graphs - Aliaksandra Kupreyeva, 2019 — Simplices of f-vectors
- Albin Jaldevik, 2022 — A study on Poset Probability
- Oliver Pavlić, 2025 — Failure and recovery of unique factorization in the rings of integers
Links
Research
Publications
2026
The coordinate ring of the -fold iterated commutator locus for 2 × 2 matrices
(Report)
https://dx.doi.org/10.3384/LiTH-MAT-R-2026-05
Hilbert functions over the exterior algebra and f-vectors in higher rank: I: Amata-Crupi monomial modules, Kozlov polytopes, and r-vectors of simplicial complexes
(Report)
https://dx.doi.org/10.3384/LiTH-MAT-R-2026-04
Truncations of the ring of number-theoretic functions, revisited
(Report)
https://dx.doi.org/10.3384/LiTH-MAT-R-2026-03
On the directions occurring in lattice-line coverings of the integer plane
(Report)
https://dx.doi.org/10.3384/LiTH-MAT-R-2026-02
Generating functions for borders
Journal of difference equations and applications (Print), Vol. 32, p. 1240-1258
(Article in journal)
https://dx.doi.org/10.1080/10236198.2026.2677520