Publications
2023
107.37 PWW: trisecting a line across an angle does not trisect the angle
Banks, J. E. (2023). 107.37 PWW: trisecting a line across an angle does not trisect the angle. The Mathematical Gazette, 107(570), 512. doi:10.1017/mag.2023.109
2022
Minimal genus Seifert surfaces for alternating links
Banks, J. E. (2022). Minimal genus Seifert surfaces for alternating links. New York Journal of Mathematics, 28, 445-493.
2018
Is a straight line the shortest path?
Banks, J. E. (2018). Is a straight line the shortest path?. The Mathematical Gazette, 102(553), 1-12. doi:10.1017/mag.2018.2
2016
The quasi-isomorphism class of the Kakimizu complex
Banks, J. E. (2017). The quasi-isomorphism class of the Kakimizu complex. NEW YORK JOURNAL OF MATHEMATICS, 23, 1173-1183. Retrieved from https://www.webofscience.com/
2014
The Birman exact sequence for 3-manifolds
Banks, J. E. (2017). The Birman exact sequence for 3-manifolds. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 49(4), 604-629. doi:10.1112/blms.12051
2013
Monodromy Action on Unknotting Tunnels in Fiber Surfaces
Banks, J., & Rathbun, M. (2016). Monodromy Action on Unknotting Tunnels in Fiber Surfaces. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 68(6), 1201-1226. doi:10.4153/CJM-2016-002-1
Point-pushing in 3-manifolds
Banks, J. E. (2013). Point-pushing in 3-manifolds. Retrieved from http://arxiv.org/abs/1310.7884v2
2012
The Kakimizu complex of a split link
Banks, J. E. (2012). The Kakimizu complex of a split link. Retrieved from http://arxiv.org/abs/1211.7035v1
2011
THE KAKIMIZU COMPLEX OF A CONNECTED SUM OF LINKS
Banks, J. E. (2013). THE KAKIMIZU COMPLEX OF A CONNECTED SUM OF LINKS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 365(11), 6017-6036. doi:10.1090/S0002-9947-2013-05839-4
Homogeneous links, Seifert surfaces, digraphs and the reduced Alexander polynomial
Banks, J. E. (2013). Homogeneous links, Seifert surfaces, digraphs and the reduced Alexander polynomial. GEOMETRIAE DEDICATA, 166(1), 67-98. doi:10.1007/s10711-012-9786-1
2010
On links with locally infinite Kakimizu complexes
Banks, J. E. (2011). On links with locally infinite Kakimizu complexes. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 11(3), 1445-1454. doi:10.2140/agt.2011.11.1445