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, ÃÛÌÒ´«Ã½ 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