Publications and Preprints of Lourdes Juan

  1. Genotypic selection in spatially heterogeneous producer-grazer systems subject to stoichiometric constraints. Chandani Dissanayake, Lourdes Juan, K. R. Long, Angie Peace, Md Masud Rana, Bulletin of Mathematical Biology, (To appear)
  2. Mechanistically derived spatially heterogeneous producer-grazer model subject to stoichiometric constraints. Md Masud Rana, Chandani Dissanayake, Lourdes Juan, K. R. Long, Angie Peace, Mathematical Biosciences & Engineering, (To appear)
  3. Surjectivities, Octonions and Differential Galois Theory (with Arne Ledet), Commmunications in Algebra,  Link to manuscript
  4. Generic Picard-Vessiot extensions for non-connected groups (with Arne Ledet), Commmunications in Algebra  44 (2016), no. 7, 2989--3004. PDF
  5. Differential `Galois' extensions with new constants (with Andy Magid), C. R. Acad. Sci. Paris, Ser. I, 348 (2010), 487-490, PDF
  6. Picard-Vessiot extensions with specified Galois group (with Ted Chinburg and Andy Magid), Pacific Journal of Mathematics, 243 (2009), no. 2, 233-242, PDF
  7. 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
  8. On generic differential SOn-extensions (with Arne Ledet), Proceedings of the American Mathematical Society 136 (2008), 1145--1153, PDF
  9. On Picard-Vessiot extensions with group PGL3 (with Arne Ledet), Journal of Algebra 318 (2007), no. 2, 786--793, PDF
  10. 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
  11. Generic Picard-Vessiot extensions for connected-by-finite groups, Journal of Algebra 312 (2007), no.1, 194--206, PDF
  12. 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
  13. Pure Picard-Vessiot extensions with generic properties, Proceedings of the AMS 132 (2004), no. 9, 2549--2556, PDF
  14. Principal differential ideals and a generic inverse differential Galois problem for GLn, Communications in Algebra 30 (2002), no. 12, 6071--6103, PDF
  15. Some results about symmetric semigroups, Communications in Algebra  21 (1993), 3637-3645, PDF


  • Differential Projective Modules over Differential Rings, with Andy Magid, under review. PDF
  • Fast Computation of Inverse Transcendental Functions of Polynomial Chaos Expansion Through Iterated Means, with Kevin Long and Kaleb Mackale, under revision.