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:

Special classes of functions (with James Freitag and Ronnie Nagloo)
arXiv
Algebraic independence of solutions to multiple Lotka-Volterra systems (with Yutong Duan and Christine Eagles)
Submitted, arXiv
Internality of autonomous algebraic differential equations (with Christine Eagles)
Submitted, arXiv

Published and accepted articles:

Note on a differential algebra bound
Accepted at Notre Dame Journal of Formal Logic, arXiv
Domination, fibrations and splitting (with Christine Eagles)
Journal of Symbolic Logic, DOI, 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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