Publications and Preprints of Lourdes Juan

  1. Surjectivities, Octonions and Differential Galois Theory (with Arne Ledet), Commmunications in Algebra,  Link to manuscript
  2. Generic Picard-Vessiot extensions for non-connected groups (with Arne Ledet), Commmunications in Algebra  44 (2016), no. 7, 2989--3004. PDF
  3. Differential `Galois' extensions with new constants (with Andy Magid), C. R. Acad. Sci. Paris, Ser. I, 348 (2010), 487-490, PDF
  4. Picard-Vessiot extensions with specified Galois group (with Ted Chinburg and Andy Magid), Pacific Journal of Mathematics, 243 (2009), no. 2, 233-242, PDF
  5. Differential central simple algebras and Picard-Vessiot representations (with Andy Magid), Proceedings of the American Mathematical Society 136 (2008), 1911-1918.
       --If you care for more details, you may take a look at this earlier version
  6. On generic differential SOn-extensions (with Arne Ledet), Proceedings of the American Mathematical Society 136 (2008), 1145--1153, PDF
  7. On Picard-Vessiot extensions with group PGL3 (with Arne Ledet), Journal of Algebra 318 (2007), no. 2, 786--793, PDF
  8. Equivariant vector fields on non-trivial SOn-torsors and differential Galois theroy (with Arne Ledet), Journal of Algebra 316 (2007), no.2, 735--745, PDF
  9. Generic Picard-Vessiot extensions for connected-by-finite groups, Journal of Algebra 312 (2007), no.1, 194--206, PDF
  10. Generic rings for Picard-Vessiot extensions and generic differential equations (with Andy Magid), Journal of Pure and Applied Algebra 209 (2007), no. 3, 793--800, PDF
  11. Pure Picard-Vessiot extensions with generic properties, Proceedings of the AMS 132 (2004), no. 9, 2549--2556, PDF
  12. Principal differential ideals and a generic inverse differential Galois problem for GLn, Communications in Algebra 30 (2002), no. 12, 6071--6103, PDF
  13. Some results about symmetric semigroups, Communications in Algebra  21 (1993), 3637-3645, PDF


  1. Space/time evolutionary sthoichiometric model for the algae-daphnia ecosystem, K. Long, C. Dissanayake, A. Peace and L. Juan (in preparation)
  2. Differential Projective Modules and Azumaya Algebras over Differential Rings, with Andy Magid, under review. PDF
  3. Fast Computation of Inverse Transcendental Functions of Polynomial Chaos Expansion Through Iterated Means, with Kevin Long and Kaleb Mackale, under review.