[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