Vahagn Aslanyan

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My primary research interests are in model theory, which is a branch of mathematical logic. More specifically, I am interested in the model theory of differential equations and its applications to number theory. I am also interested in universal algebra, in particular, first and second order properties of De Morgan algebras and De Morgan functions.

DPhil Thesis

Ax-Schanuel type inequalities in differentially closed fields, University of Oxford, April 2017.

Publications and preprints

  1. Ax-Schanuel and strong minimality for the j-function, Preprint, 2018.

  2. Strongly minimal sets in j-reducts of differentially closed fields, Preprint, 2018.

  3. Weak Modular Zilber-Pink with Derivatives, Preprint, 2018.

  4. Adequate predimension inequalities in differential fields, Preprint, 2018.

  5. Ax-Schanuel type theorems and geometry of strongly minimal sets in differentially closed fields, Preprint, 2017.

  6. Ax-Schanuel for linear differential equations, Archive for Mathematical Logic, 2017.

  7. Definability of derivations in the reducts of differentially closed fields, The Journal of Symbolic Logic, 82(4), 2017, pp. 1252-1277.

  8. Characterization of zigzag De Morgan functions, Discrete Math. Algorithms Appl., 8 (2016), no. 2.

  9. A functional completeness theorem for De Morgan functions (with Yu. Movsisyan), Discrete Applied Mathematics, 162 (2014), pp. 1-16.

  10. Boole-De Morgan algebras and quasi-De Morgan functions (with Yu. Movsisyan), Communications in Algebra, 42:11 (2014), pp. 4757-4777.

  11. Super-De Morgan functions and free De Morgan quasilattices (with Yu. Movsisyan), Central European Journal of Mathematics, 12 (2014), no. 12, pp. 1749-1761.

  12. Super-Boolean functions and free Boolean quasilattices (with Yu. Movsisyan), Discrete Math. Algorithms Appl, 6 (2014), no. 2.

  13. De Morgan functions and free De Morgan algebras (with Yu. Movsisyan), Demonstr. Math., 47 (2014), no. 2, pp. 271-283.

  14. Subdirectly irreducible algebras with hyperidentities of the variety of De Morgan algebras (with Yu. Movsisyan), Journal of Contemporary Mathematical Analysis, 48 (2013), no. 6, pp. 241-246.

  15. Algebras with hyperidentities of the variety of De Morgan algebras (with Yu. Movsisyan), Journal of Contemporary Mathematical Analysis, 5 (2013), no. 5, pp. 233-240.

  16. Hyperidentities of De Morgan algebras (with Yu. Movsisyan), Logic Journal of the IGPL, 20(2012), pp. 1153-1174.