Omar Leon Sanchez

Search results

• 2024

  MORE ON GALOIS COHOMOLOGY, DEFINABILITY AND DIFFERENTIAL ALGEBRAIC GROUPS

  Leon Sanchez, O., Meretzky, D. & Pillay, A., 11 Apr 2024, In: The Journal of Symbolic Logic.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Cohomologies 100%
  • Definability 100%
  • Galois Cohomology 100%
  • Made Explicit 16%
  • Automorphism Group 16%
  9 Downloads (Pure)

• SEPARABLY DIFFERENTIALLY CLOSED FIELDS

  Ino, K. & Leon Sanchez, O., 27 Nov 2024, (Accepted/In press) In: Illinois Journal of Mathematics.

  Research output: Contribution to journal › Article › peer-review
• 2023

  A POISSON BASIS THEOREM FOR SYMMETRIC ALGEBRAS OF INFINITE-DIMENSIONAL LIE ALGEBRAS

  Leon Sanchez, O. & Sierra, S. J., 30 Jan 2023, (Accepted/In press) In: Arkiv foer Matematik.

  Research output: Contribution to journal › Article › peer-review

  • Infinite Dimensional Lie Algebra 100%
  • Basis Theorem 100%
  • Symmetric Algebra 100%
  • Ascending Chain Condition 60%
  • Graded Lie Algebra 40%

• DIFFERENTIALLY LARGE FIELDS

  Leon Sanchez, O. & Tressl, M., 20 Mar 2023, (Accepted/In press) In: Algebra and Number Theory.

  Research output: Contribution to journal › Article › peer-review

  • Power Series 100%
  • Algebraic Closure 50%
  • Algebraic Extension 50%
• 2022

  Commutative bidifferential algebra

  Leon Sanchez, O. & Moosa, R., 4 Aug 2022, In: Journal of Algebra.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Transcendentals 100%
  • Algebraic Geometry 100%
  • Morphism 100%
  • Binary Operation 100%
  • Unitary Ring 100%
  22 Downloads (Pure)
• 2021

  Differential Weil Descent

  Leon Sanchez, O. & Tressl, M., 13 Jul 2021, (Accepted/In press) In: Communications in Algebra.

  Research output: Contribution to journal › Article › peer-review

  • Scalar 100%

• MODEL THEORY OF DIFFERENTIAL FIELDS WITH FINITE GROUP ACTIONS

  Hoffmann, D. M. & Leon Sanchez, O., 22 Sept 2021, (Accepted/In press) In: Journal of Mathematical Logic .

  Research output: Contribution to journal › Article › peer-review

  • Automorphism 100%
  • Finite Group 100%

• On The Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry

  Boulier, F., Falkensteiner, S., Noordman, M. P. & Leon Sanchez, O., 12 Jul 2021, (Accepted/In press) Computer Algebra in Scientific Computing 2021.

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

  • Algebraic Geometry 100%
  • Differential Algebra 100%
  • PDE 33%
  • Ordinary Differential Equation 33%
  • Polynomial 33%
• 2020

  COINCIDENCE OF DIMENSIONS IN CLOSED ORDERED DIFFERENTIAL FIELDS

  Eleftheriou, P. E., Leon Sanchez, O. & Regnault, N., 9 Oct 2020, (Accepted/In press) In: Notre Dame Journal of Formal Logic.

  Research output: Contribution to journal › Article › peer-review

  • Coincides 100%

• DIFFERENTIAL GALOIS COHOMOLOGY AND PARAMETERIZED PICARD-VESSIOT EXTENSIONS

  Leon Sanchez, O. & Pillay, A., 12 Sept 2020, (Accepted/In press) In: Communications in Contemporary Mathematics.

  Research output: Contribution to journal › Article › peer-review

  • Linear Differential Equation 100%
  • Cohomologies 100%
  • Existence Result 100%
  • Galois Cohomology 100%
• 2019

  EFFECTIVE DEFINABILITY OF KOLCHIN POLYNOMIALS

  Freitag, J., Leon Sanchez, O. & Li, W., 17 Sept 2019, (Accepted/In press) In: Wound Repair and Regeneration.

  Research output: Contribution to journal › Article › peer-review

  • Polynomial 100%
  • Definability 100%
  • Irreducibility 50%
  • Irreducibles 50%

• Estimates for the coefficients of differential dimension polynomials

  Leon Sanchez, O., 2019, In: Mathematics of Computation. 88, 0, p. 2959-2985

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Polynomial 100%
  • characteristic set χ 50%
  • Lower and upper bounds 50%
  • Strong Form 50%
  93 Downloads (Pure)

• Isolated types of finite rank: an abstract Dixmier–Moeglin equivalence

  Leon Sanchez, O. & Moosa, R., Mar 2019, In: Selecta Mathematica.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File
  81 Downloads (Pure)

• On the Dixmier–Moeglin equivalence for Poisson–Hopf algebras

  Launois, S. & Leon Sanchez, O., 13 Apr 2019, In: Advances in Mathematics. 346, p. 48-69 21 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Hopf Algebras 100%
  • Finite-Dimensional Lie Algebra 50%
  • Poisson Structure 50%
  • Symmetric Algebra 50%
• 2018

  ALGEBRO-GEOMETRIC AXIOMS FOR DCF_0;m

  Leon Sanchez, O., 2018, In: Fundamenta Mathematicae. 243, 1, p. 1-8

  Research output: Contribution to journal › Article › peer-review

• D-groups and the Dixmier–Moeglin equivalence

  Bell, J., Leon Sanchez, O. & Moosa, R., 2018, In: Algebra and Number Theory. 12, 2, p. 343-378

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Hopf Algebras 100%
  • Algebra over a Field 33%
  • Central Role 33%
  96 Downloads (Pure)

• Differential Weil Descent and Differentially Large Fields

  Tressl, M. & Leon Sanchez, O., 30 Jul 2018, (Submitted) In: Journal of the Institute of Mathematics of Jussieu. 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Algebraic Extension 100%
• 2017

  Effective bounds for the consistency of differential equations

  Gustavson, R. & Leon Sanchez, O., 2017, In: Journal of Symbolic Computation.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Upper Bound 100%
  • Differential Equation 100%
  • Systems Of Partial Differential Equations 66%
  • characteristic set χ 33%
  90 Downloads (Pure)

• Poisson algebras via model theory and differential algebraic geometry

  Bell, J., Launois, S., Sanchez, O. & Moosa, R., 22 May 2017, In: Journal of the European Mathematical Society. 19, 7, p. 2019–2049

  Research output: Contribution to journal › Article › peer-review

  File

  • Algebraic Geometry 100%
  • Coincides 100%
  • Counterexample 100%
  • Closed Ideal 50%
  • Three-Dimension 50%
  153 Downloads (Pure)

• Some definable Galois Theory and Examples

  Leon Sanchez, O. & Pillay, A., Jun 2017, In: Bulletin of Symbolic Logic. 23, 2, p. 145-159 15 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Galois Theory 100%
  • Made Explicit 25%
  • Automorphism Group 25%
  • Weierstrass 25%
  • Normal (Extension) 25%
  271 Downloads (Pure)
• 2016

  A new bound for the existence of differential field extensions

  Gustavson, R. & Sanchez, O., 2016, Mathematical aspects of computer and information sciences: 6th International Conference, MACIS 2015, Berlin, Germany 11-13, 2015. Revised selected papers. Kotsireas, I. S., Rump, S. M. & Yap, C. K. (eds.). Springer Nature, p. 358-361 (Lecture notes in computer science; vol. 9582).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

• Effective uniform bounding in partial differential fields

  Freitag, J. & Sanchez, O., Jan 2016, In: Advances in Mathematics. 288, p. 308-336

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Upper Bound 100%
  • Solution Set 100%
  • Ordinary Differential Equation 50%
  • Polynomial Equation 50%
  • Finite Solution 50%
  130 Downloads (Pure)

• On bounds for the effective differential Nullestensatz

  Sanchez, O. & Ovchinnikov, A., 1 Mar 2016, In: Journal of Algebra. 449, p. 1-21

  Research output: Contribution to journal › Article › peer-review

  File

  • Algebraic Geometry 100%
  • Nullstellensatz 100%
  • Antichain 100%
  112 Downloads (Pure)

• On linear dependence over complete differential algebraic varieties

  Freitag, J., Sanchez, O. & Simmons, W., 2016, In: Communications in Algebra. 44, 6, p. 2645-2669

  Research output: Contribution to journal › Article › peer-review

  File

  • Algebraic Variety 100%
  • Linear Dependence 100%
  • Projective 40%
  • Differential Equation 20%
  • Necessary and Sufficient Condition 20%
  175 Downloads (Pure)

• On parameterized differential Galois extensions

  Sanchez, O. & Nagloo, J., Jul 2016, In: Journal of Pure and Applied Algebra. 220, 7, p. 2549-2563

  Research output: Contribution to journal › Article › peer-review

  File

  • Normal (Extension) 100%
  • Galois Extension 100%
  • PDE 50%
  • Ordinary Differential Equation 50%
  • Existence Result 50%
  158 Downloads (Pure)

• On the model companion of partial differential fields with an automorphism

  Sanchez, O., May 2016, In: Israel Journal of Mathematics. 212, 1, p. 419–442

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Automorphism 100%
  • Canonical Base 50%
  149 Downloads (Pure)

• The model companion of differential fields with free operators

  Sanchez, O. & Moosa, R., 29 Jun 2016, In: The Journal of Symbolic Logic. 81, 2, p. 493-509

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Mathematical Logic 100%
  • Differential Algebra 100%
  139 Downloads (Pure)
• 2015

  Relative D-groups and differential Galois theory in several derivations

  Sanchez, O., 13 Mar 2015, In: Transactions of the American Mathematical Society. 367, 11, p. 7613-7638

  Research output: Contribution to journal › Article › peer-review

  File

  • Galois Theory 100%
  • Differential Equation 50%
  • Algebraic Geometry 50%
  • Normal (Extension) 50%
  97 Downloads (Pure)
• 2012

  Geometric axioms for differentially closed fields with several commuting derivations

  Sanchez, O., 15 Jul 2012, In: Journal of Algebra. 362, p. 107-116

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Closed Set 100%
  136 Downloads (Pure)
• 2011

  Fundamental Theorem of Calculus

  Sobczyk, G. & Sanchez, O., Mar 2011, In: Advances in Applied Clifford Algebras. 21, 1, p. 221-231

  Research output: Contribution to journal › Article › peer-review

  File

  • Fundamental Theorem of Calculus 100%
  • Complex Variable 50%
  • Calculus 50%
  • Analytic Function 50%
  • Green's Theorem 50%
  417 Downloads (Pure)

• The Clifford-Fourier Transform Fo and Monogenic Extensions

  Bezanilla Lopez, A. & Sanchez, O., Dec 2011, In: Advances in Applied Clifford Algebras. 21, 4, p. 757-772

  Research output: Contribution to journal › Article › peer-review

  File

  • Fourier Transform 100%
  • Clifford Algebra 50%
  • Continuous Function 25%
  • Operational Calculus 25%
  145 Downloads (Pure)