# Daniel Barter

## Employment

• Australian National University. February 2018 - . Postdoctoral fellow. Working on topological phases of matter and low dimensional categories.
• University of Sydney. August 2017 - January 2018. Postdoctoral researcher in Physics. Thinking about topological phases of matter.
• University of Michigan. September 2012 - May 2016. Graduate student instructor for calculus 1, 2 and 3. Taught classes with 20-30 students, three times a week. Held office hours. Helped students use Mathematica. Graded homework/exams.
• University of Sydney. March 2011 - June 2012. Tutor for calculus 1 and 2. Supervised problem sessions and graded homework/exams.

## Preprints

• Domain walls in topological phases and the Brauer-Picard ring for $${\bf Vec}(\mathbb{Z}/p\mathbb{Z})$$. Joint with Jacob Bridgeman and Corey Jones. arXiv:1806.01279
• Deligne categories and representations of the infinite symmetric group. Joint with Inna Entova-Aizenbud and Thorsten Heidersdorf. arXiv:1706.03645
• Eigenvalues of rotations and braids in spherical fusion categories. Joint with Corey Jones and Henry Tucker. arXiv:1611.00071
• Computing the minimal model for the quantum symmetric algebra. arXiv:1610.05204
• A remark about 6j symbols and young semi-normal form. arXiv:1610.05248
• Noetherianity and rooted trees. arXiv:1509.04228

## Invited Talks

• University of Sydney algebra seminar, 2018, Fusion categories and (2+1)-dimensional topological quantum field theory.
• University of Sydney quantum information seminar, 2018, Fusion categories, 2D LRE topological phases and Brauer-Picard rings.
• Scott's Kioloa conference, 2017, One way Modular Tensor Categories arise in condensed matter physics.
• Berkeley combinatorics seminar, 2015, Combinatorial categories, configuration spaces and tensorial species.
• Michigan theoretical computer science seminar, 2014, Tensor rank and stability in representation theory.