LEO JIMENEZ
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Research Interests:

Model theory and its applications:
  • Geometric stability theory
  • Differential algebra and algebraic ordinary differential equations
  • The canonical base property
  • Combinatorics

Preprints:

Algebraic independence of solutions to multiple Lotka-Volterra systems (with Yutong Duan and Christine Eagles)
Submitted, arXiv
Note on a differential algebra bound
Submitted, arXiv
Internality of autonomous algebraic differential equations (with Christine Eagles)
Submitted, arXiv

Published and accepted articles:

Domination, fibrations and splitting (with Christine Eagles)
Accepted at Journal of Symbolic Logic, arXiv
Splitting differential equations using Galois theory (with Christine Eagles)
​Transactions of the American Mathematical Society, DOI, arXiv
Finite-dimensional differential-algebraic permutation groups (with James Freitag and Rahim Moosa)
Journal of the Institute of Mathematics of Jussieu, DOI, arXiv
Enriching a predicate and tame expansions of the integers (with Gabriel Conant, Christian D'Elbée, Yatir Halevi and Silvain Rideau-Kikuchi)
Journal of Mathematical Logic, DOI, arXiv
Relative Internality and definable fibrations (with Rémi Jaoui and Anand Pillay)
Advances in Mathematics, Volume 415, DOI, arXiv
CM-trivial structures without the canonical base property (with Thomas Blossier)
 Model Theory, Volume 1, Issue 1, 31-54,  DOI, arXiv
Groupoids and relative internality
Journal of Symbolic Logic, Volume 84, Issue 3, 987-1006, DOI, arXiv

Thesis:

Internality in Families.
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