Benjamin Himpel



Refereed Publications

  1. GETOpt mesh smoothing: Putting GETMe in the framework of global optimization-based schemes (with Dimitris Vartziotis, Doris Bohnet), Finite Elements in Analysis & Design, ISSN 0168-874X, 08/2018, Volume 147, 10-20
  2. Trends of Machine Learning in Additive Manufacturing (with Felix Baumann, André Sekulla, Michael Hassler, Markus Pfeil), International Journal of Rapid Manufacturing, January 2018
  3. The Witten-Reshetikhin-Turaev invariant for links in finite order mapping tori I (with Jørgen Ellegaard Andersen, Søren Fuglede Jørgensen, Johan Martens, Brendan McLellan), arXiv:1408.2499 [math.GT], Adv. Math. 304 (2017), 131–178
  4. Efficient mesh optimization using the gradient flow of the mean volume (with Dimitris Vartziotis), SIAM J. Numer. Anal. 52(2) (2014), 1050–1075
  5. Efficient and Global Optimization-Based Smoothing Methods for Mixed-Volume Meshes (with Dimitris Vartziotis), Proceedings of the 22nd International Meshing Roundtable, Springer International Publishing (2014), 293–311
  6. The Witten-Reshetikhin-Turaev invariants of finite order mapping tori II (with Jørgen Ellegaard Andersen), Quantum Topol. 3 (2012), no. 3–4, 377–421
  7. Splitting the spectral flow and the SU(3) Casson invariant for spliced sums (with Hans Boden), Algebr. Geom. Topol. 9 (2009), no. 2, 865–902
  8. A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of SU(2) connections, Geom. Topol. 9 (2005), 2261–2302
  9. Calderón projector for the Hessian of the perturbed Chern-Simons function on a 3-manifold with boundary (with Paul Kirk and Matthias Lesch), Proc. London Math. Soc. (3) 89 (2004), no. 1, 241–272


  1. Laplacian smoothing revisited (with Dimitris Vartziotis), arXiv:1406.4333 [math.OC]

Lecture notes, reports, and other publications

  1. Lecture notes on Chern-Simons theory,, 2009
  2. A splitting formula for the su(N) spectral flow of the odd signature operator coupled to a path of SU(N) connections, Oberwolfach Reports, Report No. 21/2006, 31–34
  3. A splitting formula for spectral flow on closed 3-manifolds, 2004, Ph.D. thesis, Indiana University, Bloomington, 144 pages

Books edited

  1. Chern-Simons gauge theory: 20 years after (with Jørgen E. Andersen, Hans U. Boden and Atle Hahn (editors)), AMS/IP Studies in Advanced Mathematics, 50. American Mathematical Society, Providence, RI; International Press, Cambridge, MA, 2011

© 2020 Benjamin Himpel

Thema von Anders Norén