Areas of expertise

• Topology 010112

Research interests

Publications

• Durst, S, Kegel, M & Licata, J 2021, 'Rotation numbers and the euler class in open books', Michigan Mathematical Journal, vol. 70, no. 4, pp. 869-888.
• Gay, D & Licata, J 2018, 'MORSE STRUCTURES ON OPEN BOOKS', Transactions of the American Mathematical Society, vol. 370, no. 6, pp. 3771-3802.
• Licata, J & Matthews, D 2016, 'Morse structures on partial open books with extendable monodromy', in David R. Wood, Jan de Gier, Cheryl E. Praeger, Terence Tao (ed.), 2016 MATRIX Annals, Springer Cham, Switzerland, pp. 287-303.
• Hryniewicz, U, Licata, J & SalomËœao, P 2015, 'A dynamical characterization of universally tight lens spaces', Proceedings of the London Mathematical Society, vol. 110, no. 1, pp. 213-269pp.
• Dunfield, N, Hoffman, N & Licata, J 2015, 'Asymmetric hyperbolic L-spaces, Heegaard genus, and Dehn filling', Mathematical Research Letters, vol. 22, no. 6, pp. 1679-1698.
• Licata, J & Sabloff, J 2013, 'Legendrian contact homology in Seifert fibered spaces', Quantum Topology, vol. 4, no. 3, pp. 265-301.
• Licata, J & Sabloff, J 2012, 'Rational seifert surfaces in Seifert fibered spaces', Pacific Journal of Mathematics, vol. 258, no. 1, pp. 199-221.
• Licata, J 2011, 'Legendrian grid number one knots and augmentations of their differential algebras', in Markus Banagl and Denis Vogel (ed.), The Mathematics of Knots: Theory and Application, Springer, USA, pp. 143-168.
• Licata, J 2011, 'Invariants for Legendrian knots in lens spaces', Communications in Contemporary Mathematics, vol. 13, no. 1, pp. 91-121.
• Licata, J 2010, 'Constructing Seifert surfaces for n-bridge link projections', Journal of Knot Theory and Its Ramifications, vol. 19, no. 3, pp. 313-334.
• Licata, J 2008, 'The Thurston polytope for four-stranded pretzel links', Algebraic and Geometric Topology, vol. 8, pp. 211-243.

Related websites

• https://sites.google.com/view/joanlicata/home
  

  personal webpage