Adam S. Sikora
PhD
Professor
Research Interests
Professor Sikora's main research areas are: Interactions between topology, algebra and number theory. Moduli spaces of representations, and their quantization.
Education
PhD, University of Maryland, College Park
Interactions between topology, algebra and number theory. Moduli spaces of representations, and their quantization.
Research Summary
Professor Sikora's main research areas are: Interactions between topology, algebra and number theory. Moduli spaces of representations, and their quantization.
Selected Publications
arXiv: 1503.08279
Journal of Algebra vol. 429, 2015, 324--341, arXiv: 1303.7181
Mathematische Zeitschrift, vol. 277, Issue 1-2, 2014, 241--256, arXiv: 1207.5284
, Journal of Pure and Applied Algebra, 217(11), (2013), 2076--2087.
, with J.H. Przytycki, Communications in Algebra, 42 , no 3, (2014), 1258--1269.
Trans. of AMS 364 (2012) 5173--5208.
"Topology on the spaces of orderings of groups," Bull. London Math. Soc. 36 (2004) 519--526., arXiv: 0111002.
A. Sikora, Analogies between group actions on 3-manifolds and number fields Comm. Math. Helv 78 (2003), no. 4, 832--844, http://arxiv.org/abs/math.GT/0107210
A. Sikora, Character varieties,Trans. of AMS 364 (2012) 5173--5208., http://arxiv.org/abs/0902.2589