Marithania Silvero Casanova

at BGSMath - UB
Research area: Topology

Biosketch

I obtained my PhD Degree from the University of Seville in March 2016, supervised by Juan González-Meneses (University of Seville) and Pedro M. G. Manchón (Polytechnic University of Madrid).

I received a Degree in Mathematics (July 2011) and a Degree in Statistics (July 2012), from the University of Seville. In July 2012 I got a Master’s Degree in Advanced Mathematics.

I have been a visiting predoctoral researcher at The George Washington University (February – May 2013), University of Illonis at Chicago (September – December 2014) and Indiana University at Bloomington (February – May 2015), under the supervision of Józef H. Przytycki, Louis H. Kauffman and Charles Livingston, respectively.

As a postdoctoral researcher, I have been working at the Institute of Mathematics and Its Applications of the University of Zaragoza (April – May 2016), the Institute of Mathematics of the University of Barcelona (June - July 2016) and the University of Seville (July 2016 – January 2017). Before coming to Barcelona, I have worked for a year (January 2017 - January 2018) as an Assistant Professor at the Institute of Mathematics of the Polish Academy of Sciences (IMPAN), in Warsaw, in collaboration with the group of Maciej Borodzik.

Since January 2018 I am working as a postdoctoral researcher at the BGSMath, in Barcelona.

Selected publications

1.- J. H. Przytycki and M. Silvero, ``Homotopy type of circle graphs complexes motivated by extreme Khovanov homology''. Journal of Algebraic Combinatorics. To appear.

2.- J. González-Meneses, P. M. G. Manchón y M. Silvero, ``A geometric description of the extreme Khovanov homology''. Proceedings of The Royal Society of Edinburgh: Section A. To appear.

3.- S. Mukherjee, J. H. Przytycki, M. Silvero, and S. Y. Yang, ``Search for torsion in Khovanov homology''. Experimental Mathematics (2017).

3.- L. H. Kauffman y M. Silvero, ``Alexander-Conway polynomial state model and Link homology''. Journal of Knot Theory and Its Ramifications, 25 (2016), 3, 1640005 - 8 pp. 

4.- M. Silvero, ``Strongly quasipositive links with braid index 3 have positive Conway polynomial''.
Journal of Knot Theory and Its Ramifications, 25 (2016), 12, 1642015 - 14pp.

5.- M. Silvero, ``On a conjecture by Kauffman on alternative and pseudoalternating links''. Topology and its Applications, 188 (2015), 82-90.