Douglas Lundholm
Senior Lecturer/Associate Professor at Department of Mathematics; Academic staff
- Telephone:
- +46 18 471 33 18
- E-mail:
- douglas.lundholm@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 524
751 20 UPPSALA
Download contact information for Douglas Lundholm at Department of Mathematics; Academic staff
Senior Lecturer/Associate Professor at Department of Mathematics; Analysis and Partial Differential Equations
- Telephone:
- +46 18 471 33 18
- E-mail:
- douglas.lundholm@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 524
751 20 UPPSALA
- CV:
- Download CV
- ORCID:
- 0000-0003-3456-5846
Short presentation
Member of the research group Analysis, PDEs and Applications
Research interests:
Mathematical physics, including: spectral theory of quantum mechanical systems (typically incolving supersymmetry - such as supermembrane matrix models, or exotic particle statistics - anyons), Clifford (geometric) algebras and their applications, quantum gravity and quantum geometry.
Previous web pages:

Publications
Selection of publications
-
Magnetic Thomas-Fermi theory for 2D abelian anyons
Part of SCIPOST PHYSICS CORE, 2026
- DOI for Magnetic Thomas-Fermi theory for 2D abelian anyons
- Download full text (pdf) of Magnetic Thomas-Fermi theory for 2D abelian anyons
-
Part of Encyclopedia of Condensed Matter Physics (Second Edition), p. 450-484, Elsevier, 2024
-
Quantum statistics transmutation via magnetic flux attachment
Part of Probability and Mathematical Physics, p. 803-848, 2023
-
Lieb–Thirring inequalities for wave functions vanishing on the diagonal set
Part of Annales Henri Lebesgue, p. 251-282, 2021
-
Molecular Impurities as a Realization of Anyons on the Two-Sphere
Part of Physical Review Letters, 2021
-
Quantum impurity model for anyons
Part of Physical Review B, 2020
Recent publications
-
Exchange and Exclusion in the Non-abelian Anyon Gas
Part of Complex Analysis and Operator Theory, 2026
- DOI for Exchange and Exclusion in the Non-abelian Anyon Gas
- Download full text (pdf) of Exchange and Exclusion in the Non-abelian Anyon Gas
-
Part of International Journal of Geometric Methods in Modern Physics (IJGMMP), 2026
-
Magnetic Thomas-Fermi theory for 2D abelian anyons
Part of SCIPOST PHYSICS CORE, 2026
- DOI for Magnetic Thomas-Fermi theory for 2D abelian anyons
- Download full text (pdf) of Magnetic Thomas-Fermi theory for 2D abelian anyons
-
Part of Encyclopedia of Condensed Matter Physics (Second Edition), p. 450-484, Elsevier, 2024
-
"The six blind men and the elephant": An Interdisciplinary Selection of Measurement Features
Part of Geometric Methods in Physics XL, p. 275-307, 2024
All publications
Articles in journal
-
Exchange and Exclusion in the Non-abelian Anyon Gas
Part of Complex Analysis and Operator Theory, 2026
- DOI for Exchange and Exclusion in the Non-abelian Anyon Gas
- Download full text (pdf) of Exchange and Exclusion in the Non-abelian Anyon Gas
-
Part of International Journal of Geometric Methods in Modern Physics (IJGMMP), 2026
-
Magnetic Thomas-Fermi theory for 2D abelian anyons
Part of SCIPOST PHYSICS CORE, 2026
- DOI for Magnetic Thomas-Fermi theory for 2D abelian anyons
- Download full text (pdf) of Magnetic Thomas-Fermi theory for 2D abelian anyons
-
Quantum statistics transmutation via magnetic flux attachment
Part of Probability and Mathematical Physics, p. 803-848, 2023
-
Lieb–Thirring inequalities for wave functions vanishing on the diagonal set
Part of Annales Henri Lebesgue, p. 251-282, 2021
-
Molecular Impurities as a Realization of Anyons on the Two-Sphere
Part of Physical Review Letters, 2021
-
Emergence of Anyons on the Two-Sphere in Molecular Impurities
Part of Atoms, 2021
- DOI for Emergence of Anyons on the Two-Sphere in Molecular Impurities
- Download full text (pdf) of Emergence of Anyons on the Two-Sphere in Molecular Impurities
-
Quantum impurity model for anyons
Part of Physical Review B, 2020
Chapters in book
-
Part of Encyclopedia of Condensed Matter Physics (Second Edition), p. 450-484, Elsevier, 2024
Conference papers
-
"The six blind men and the elephant": An Interdisciplinary Selection of Measurement Features
Part of Geometric Methods in Physics XL, p. 275-307, 2024