Recent Papers

• (with F. R. Cohen and M. A. Xicotencatl) Orbit configuration spaces associated to discrete subgroups of PSL(2, R), Journal of Pure and Applied Algebra, 213, (2009), 2289 -- 2300.
  
  
• Bar complex, configuration spaces and finite type invariants for braids, Topology and Its Applications 157 (2010) 2--9.
  
  
• (with L. Funar). On Burau representations at roots of unity, Geometriae Dedicata: Volume 169, Issue 1 (2014), 145-163.
  
  
• Hyperplane arrangements, local system homology and iterated integrals, Advanced Studies in Pure Mathematics, 62, (2012), 157--174.
  
  
• KZ equation - structure of monodromy representations and their applications to invariants of knots, Appendix to "Theory of Hypergeometric Functions" by Kazuhiko Aomoto amd Michitake Kita, Springer, (2010), 283--301.
  
  
• (with A. Pajitnov), Circle-valued Morse theory for complex hyperplane arrangements, arXiv:1101.0437v1 [math.GT], to appear in Forum Mathematicum, Published on line DOI 10.1515/forum-2013-0032, 16 pages.
  
  
• Quantum and homological representations of braid groups, "Configuration Spaces - Geometry, Combinatorics and Topology, Edizioni della Normale (2012), 355--372.
  
  
• (with L. Funar). Free subgroups within the images of quantum representations, arXiv:1108.4904 [math.GT], Forum Mathematicum 2011, Published on line DOI 10.1515, 19 pages.
  
  
• Homological representations of braid groups and KZ connections, Journal of Singularities 5, (2012), 94--108.
  
  
• (with A. Pajitnov), Novikov homology, jump loci and Massey products, arXiv:1302.6785 [math.AT], Cent. Eur. J. Math. 12(9), (2014), 1285-1304, DOI: 10.2478/s11533-014-0413-2.
  
  
• Local systems on configuration spaces, KZ connections and conformal blocks, Acta Mathematica Vietnamica, Volume 39, Issue 4 (2014), 575--598.
  
  
• Quantum representations of braid groups and holonomy Lie algebras, Advanced Studies in Pure Mathematics 72 (2017), 117-144.
  
  
• Higher holonomy maps of formal homology connections and braid cobordisms, Journal of Knot Theory and Its Ramifications Vol. 26 (2016), DOI: 10.1142/S0218216516420074
  
  
• Homological Representations of Braid Groups and the Space of Conformal Blocks, F. Callegaro et al. (eds.), Perspectives in Lie Theory, Springer INdAM Series 19, DOI 10.1007/978-3-319-58971-8
  
  
• Higher holonomy maps for hyperplane arrangements, European Journal of Mathematics, 1-23 DOI 10.1007/s40879-019-00382-z
  
  
• Higher holonomy and iterated integrals.
  
  

List of Publications