I work at the intersection of Group Theory and Topology. Group theory is the mathematical abstraction to study symmetry, and topology is the study of space.
Publications
Publications
Fixed Point Sets in Diagrammatically Reducible Complexes
Shivam Arora, Eduardo Martinez-Pedroza
Submitted
Subgroups, hyperbolicity and cohomological dimension for totally disconnected locally compact groups
Shivam Arora, Ilaria Castellanoano, Ged Corob Cook, Eduardo Martinez Pedroza
Journal of Topology and Analysis
Subgroups of word hyperbolic groups in rational dimension 2
Shivam Arora, Eduardo Martinez-Pedroza
Groups, Geometry, and Dynamics
z-Classes in finite groups of conjugate type (n,1)
Shivam Arora, Krishnendu Gongopadhyay
Proceedings - Mathematical Sciences
MS Thesis
I completed my Master thesis under the supervision of Krishnendu Gongopadhyay at Indian Institute of science Education and Research, Mohali. The title of the thesis was 'z-Classes in finite p-group'.