# Publications

*Arboreal forcing notions and regularity properties of the real line*, DOI: 10.25365/thesis.20405, Universitaet Wien, 2012. (supervised by: Prof. Dr. Sy David Friedman)*On the separation of regularity properties of the reals*, Archive for Mathematical Logic, Volume 53, Issue 7-8, pp 731-747, 2014.*Some considerations on Amoeba forcing notions*, Archive for Mathematical Logic, Volume 53, Issue 5-6, pp 487-502, 2014.*Generalized Silver and Miller measurability*, Mathematical Logic Quarterly, Volume 61, Issue 1-2, pp 91-102, 2015.*Questions on generalized Baire spaces*, (joint with Yurii Khomskii, Benedikt Loewe and Ilya Sharankou), Mathematical Logic Quarterly, Volume 62, Issue 4-5, 2016.*Full-splitting Miller trees and infinitely often equal reals*, (joint with Yurii Khomskii), Annals of Pure and Applied Logic 168, no. 8, 1491-1506, 2017.*A null ideal for inaccessibles*, (joint with Sy David Friedman), Archive for Mathematical Logic, Volume 56, Issue 5-6, pp 691-697, 2017.*Uncountable trees and Cohen kappa-reals*, Journal of Symbolic Logic, Volume 84, Issue 3, pp. 877-894, 2019.*More on trees and Cohen reals*, (joint with Brendan Stuber-Rousselle), Mathematical Logic Quarterly, Volume 66, Issue 2, pp. 173-181, 2020.*On the representation and construction of social welfare orders*, (joint with Ram S. Dubey and Francesco Ruscitti), Mathematical Social Sciences, Volume 107, pp. 17-22, 2020.*On social welfare orders satisfying anonymity and asymptotic density-one Pareto*, (joint with Ram S. Dubey and Francesco Ruscitti), Mathematical Social Sciences, Volume 111, Pages 26-33, 2021.*Extended Gini index*, (joint with Ram Sewak Dubey), Economics Bulletin, Vol. 41, Issue 2, pp. 654-661, 2021.*Equitable preference relations on infinite utility streams*, (joint with Ram Sewak Dubey), Journal of Mathematical Economics, in press, 2021.*Laver trees in the generalised Baire space*, (joint with Yurii Khomskii, Marlene Koelbing and Wolfgang Wohofsky), accepted for publication, to appear in Israel Journal of Mathematics, 2021.*Social welfare relations and irregular sets*, (joint with Ram Sewak Dubey) submitted.*On splitting trees*, (joint with Heike Mildenberger and Brendan Stuber-Rousselle), submitted.*The non-democratic side of regular sets*, submitted.*Mathias and Silver forcing parametrised by density*, (joint with Heike Mildenberger and Brendan Stuber-Rousselle), submitted.*A characterization of Rawls social welfare function via risk measures*, (joint with Ram Sewak Dubey Francesco Ruscitti), submitted.

# In preparation

*How rare are the properties of preference relations?*, (joint with Ram Sewak Dubey), in preparation.