[numberlab]
Preprints/drafts:
Most of my research in the last decade or so, concerns (noncommutative) arithmetic geometry, moduli theory, deformation theory and (recently) cryptography. For an indication of my recent projects I refer to the preprints (which I list first) below. The year indicates latest year of edit.
Larsson, D.
Larsson, D.
Arithmetic hom-Lie algebras and L-functions (2013)
(This will never be published. I think.)
Research
Published papers:
Larsson, D.
Key generation using chaotic point constructions on elliptic curves
Conference proceedings for WSPC2021, published in SDPS-2021 (2022)
Lyth, A., Juric, R. and Larsson, D.
Proceedings of the 55th Hawaii International Conference on System Sciences, 2022
Knutson, P., Raja, K., Larsson, D. and Ramachandra, R.
Finite Field Elliptic Curve for Key Generation and Biometric Template Protection
2021 IEEE International Workshop on Biometrics and Forensics (IWBF) |
Larsson, D.
Equivariant hom-Lie algebras and twisted derivations on (arithmetic) schemes
Journal of Number Theory 176 (2017) 249–278
Larsson, D.
Burchnall-Chaundy theory, Ore extensions and σ-Differential operators
Journal of Algebra and Its Applications, Vol. 13, No. 7 (2014)
Larsson, D.
Arithmetic Witt--hom-Lie algebras
Journal of Generalized Lie Theory and Applications Vol. 3 (2009), No. 4, 297–310
Larsson, D. and Silvestrov., S.D.
On q-differential graded algebras and N-complexes
Generalized Lie Theory in Mathematics, Physics and Beyond, Springer-Verlag, 2009.
Larsson, D., Sigurdsson, G. and Silvestrov., S.D.
Quasi-deformations on the algebra F[t]/(t^N)
Journal of Generalized Lie Theory and Applications Vol. 2 (2008), No. 3, 201–205
Larsson, D. and Silvestrov., S.D.
Communications in Algebra 35: 4303–4318, 2007
Larsson, D. and Silvestrov., S.D.
The Lie algebra sl_2(F) and Quasi-Deformations
Czechoslovak Journal of Physics, Vol. 55 (2005), No. 11
Larsson, D., Sigurdsson, G. and Silvestrov., S.D.
On some almost quadratic algebras coming from twisted derivations
Journal of Nonlinear Mathematical Physics Volume 13, Supplement (2006), 76–86
Larsson, D. and Silvestrov., S.D.
Czechoslovak Journal of Physics, Vol. 55 (2005), No. 11
Larsson, D. and Silvestrov., S.D.
Cont. Math. AMS 391 (2005)
Larsson, D. and Silvestrov., S.D.
Quasi-deformations of sl_2(R) with base R[t,t^{-1}]
Czechoslovak Journal of Physics, Vol. 56 (2006), No. 10/11
Hartwig, J.T., Larsson, D. and Silvestrov., S.D.
Deformations of Lie algebras using σ-derivations
Journal of Algebra 295 (2006) 314–361
Larsson, D. and Silvestrov, S.D.
Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
Journal of Algebra 288 (2005) 321–34
Larsson, D. and Silvestrov., S.D.
Burchnall-Chaundy theory for q-difference operators and q-deformed Heisenberg algebras
Journal of Nonlinear Mathematical Physics Volume 10, Supplement 2 (2003), 95–106