# Vahagn Aslanyan

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

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

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

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

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

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

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

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

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

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

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

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

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

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

- 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.

- 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.

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