Hans U. Boden
Profile Photo
Professor
HH 313
(905) 525 9140 ext. 23428
(905) 522-0935
...

Research Area: Geometry & Topology

Research Profile: Gauge theory and low-dimensional topology.
My research concerns the topology and geometry of character varieties and moduli spaces of flat connections, and applications to invariants of knots, links, and 3-manifolds.

Gauge theory, knots and 3-manifolds

2020/2021
Math 1ZB3
Math 4E03/6E03

2019/2020
ArtSci 1D06
Math 4TT3
Math 731

2018/2019
Math 2X03
Math 3T03
Math 4TT3/6TT3

2017/2018
Math 4B03/6B03

2016/2017
Math 3T03

2015/2016
Math 731

2014/2015
On Research Leave

2013/2014
Math 4B03/6B03

H. U. Boden and H. Karimi, The Jones-Krushkal polynomial and minimal diagrams of surface links, 2019 preprint, ArXiv math.GT/1908.06453

H. U. Boden and M. Chrisman, Virtual concordance and the generalized Alexander polynomial, 2019 preprint, ArXiv math.GT/1903.08737

H. U. Boden, M. Chrisman, and R. Gaudreau, Signature and concordance of virtual knots, 2017 preprint, ArXiv math.GT/1708.08090, to appear in Indiana University Mathematics Journal (2020)

H. U. Boden and A. J. Nicas, Virtual and welded periods of classical knots, Breadth in Topology, 29–42, Proceedings of Symposia in Pure Mathematics, 102, American Mathematical Society, Providence, RI, 2019

H. U. Boden, A. Nicas, and L. White, Alexander invariants of virtual knots, Dissertationes Mathematicae, 530 (2018), 1–59

H. U. Boden, M. Chrisman, and R. Gaudreau, Virtual knot cobordism and bounding the slice genus, Experimental Mathematics, 28 (2019), no. 4, 475–491

H. U. Boden and M. Nagel, Concordance group of virtual knots, Proceedings of the American Mathematical Society 145 (2017), no. 12, 5451–5461

H. U. Boden, R. Gaudreau, E. Harper,A. J. Nicas, and L. White, Virtual knot groups and almost classical knots, Fundamenta Mathematicae 138 (2017), no. 2, 101–142

H. U. Boden and C. M. Herald, The SU(N) Casson-Lin invariant of the Hopf link, Pacific Journal of Mathematics 285 (2016), no. 2, 283–288

H. U. Boden and E. Harper, The SU(N) Casson-Lin invariant for links, Pacific Journal of Mathematics 285 (2016), no. 2, 257–282

H. U. Boden and C. Curtis, The SL(2,C) Casson invariant for knots and the A^-polynomial, Canadian Journal of Mathematics 68 (2016), no. 1, 3–23

Additional publications and preprints available here

Currently Supervising:
Jie Chen (PhD Math)
Lindsay White (MSc CSE)

Past Students:
Jie Chen MSc (2019)
Homayun Karimi PhD (2018)
Lindsay White PhD (2016)
Robin Gaudreau MSc (2016)
Chris Gatopoulos MSc (2014)
Homayun Karimi MSc (2013)
Chris Henry MSc (2012)
Michael Parchimowicz MSc (2011)
George Dragomir PhD (2011)

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