# Publications

## Peer-reviewed publications

- (with M.F. Singer)
*Galois groups for integrable and projectively integrable linear difference equations*. Journal of Algebra**480**, 423-449, (2017). doi:10.1016/j.jalgebra.2017.02.032 *Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation*. Communications in Contemporary Mathematics**19**(6), (2017). doi:10.1142/S0219199716500565*On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters*. Journal of Symbolic Computation**75**, 25-55, (2015). doi:10.1016/j.jsc.2015.11.006*Computing the differential Galois group of a parameterized second-order linear differential equation*. Proceedings of ISSAC 2014, 43-50, (2014). doi:10.1145/2608628.2608680. [Distinguished Student Author Award]*Computation of the unipotent radical of the differential Galois group of a parameterized second-order linear differential equation*. Advances in Applied Mathematics**57**, 44-59, (2014). doi:10.1016/j.aam.2014.03.001- A Galois-theoretic proof of the differential transcendence of the incomplete Gamma function. Journal of Algebra
**389**, 119-127, (2013). doi:10.1016/j.jalgebra.2013.04.037

Preprint versions of my papers can also be found on the arXiv.

### Other works

*An algorithmic approach to the differential Galois theory of second-order linear differential equations with differential parameters*. Ph.D. Thesis, The Graduate Center, CUNY, (2014). http://academicworks.cuny.edu/gc_etds/337/*Examples of computation of parameterized differential Galois groups for some second-order linear differential equations with one differential parameter*. Maple worksheet, (2015). Here are the pdf version and the mw version.*Computing the differential Galois group of a one-parameter family of second-order linear differential equations*. Unpublished (2012). arXiv:1208.2226