Tobias Hagge

Welcome to my mathematical home page. I am an assistant professor in the department of Mathematical Sciences at U.T. Dallas. I study topology and quantum computing.

Courses

Spring 2009: Theory of Complex Functions I
Fall 2008: Representations of Finite Groups

Research Interests

Quantum topology, quantum computing, knot theory, category theory, quantum logic.

Personal Information

B.A. University of Iowa, 2002
Ph.D. Indiana University, 2008

Curriculum Vitae

C.V.

Papers Published

H. Every reidemeister move is needed for each knot type. Proc. Amer. Math. Soc., 134(1):205-301, 2006.
http://arxiv.org/abs/math/0404145
J. Michael Dunn, H, Lawrence Moss, and Zhenghan Wang. Quantum logic as motivated by quantum computing. J. Symbolic Logic, 70(2):353-359, 2005.
http://arxiv.org/abs/math/0412144
H. ql(C^n) determines n. J. Symbolic Logic, 72(4):1194-1196, 2007.
http://arxiv.org/abs/math/0604373

Accepted Manuscripts

H and Seung-Moon Hong. Some non-braided fusion categories of rank 3. Communications in Contemporary Mathematics.
http://arxiv.org/abs/0704.0208

Software

I have a Mathematica program which attempts to classify semi-simple tensor categories for a user-specified Grothendeick ring. When the code is in a little better shape I'll post it here.

Links

Zotero.