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Physics

- M. Salamon, P. Anderson,
+21 authors Tobias J. Hagge - PhysicsNature
- 1 March 1929

PROF. H. A. WILSON is best known for his experimental researches, but this book shows that he is also able to give clear expositions of the more theoretical aspects of modern physics. As he has… Expand

On the necessity of Reidemeister move 2 for simplifying immersed planar curves

- Tobias J. Hagge, Jonathan Yazinski
- Mathematics
- 5 December 2008

In 2001, Oestlund conjectured that Reidemeister moves 1 and 3 are sufficient to describe a homotopy from any generic immersion from the circle into the plane to the standard embedding of the circle.… Expand

Quantum logic as motivated by quantum computing

- J. Dunn, Tobias J. Hagge, L. Moss, Zhenghan Wang
- PhilosophyJournal of Symbolic Logic
- 7 December 2004

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Some non-braided fusion categories of rank 3

- Tobias J. Hagge, Seung-Moon Hong
- Mathematics
- 2 April 2007

We classify all fusion categories for a given set of fusion rules with three simple object types. If a conjecture of Ostrik is true, our classification completes the classification of fusion… Expand

Enforcing constraints for interpolation and extrapolation in Generative Adversarial Networks

- P. Stinis, Tobias J. Hagge, A. Tartakovsky, E. Yeung
- Computer ScienceJ. Comput. Phys.
- 22 March 2018

Fermionic Modular Categories and the 16-fold Way

- P. Bruillard, C. Galindo,
+4 authors Zhenghan Wang - Physics
- 30 March 2016

We study spin and super-modular categories systematically as inspired by fermionic topological phases of matter, which are always fermion parity enriched and modelled by spin TQFTs at low energy. We… Expand

On Arithmetic Modular Categories

- Orit Davidovich, Tobias J. Hagge, Zhenghan Wang
- Mathematics
- 9 May 2013

Modular categories are important algebraic structures in a variety of subjects in mathematics and physics. We provide an explicit, motivated and elementary definition of a modular category over a… Expand

Some non-braided fusion categories of rank three

- Tobias J. Hagge, Seung-Moon Hong
- Mathematics
- 1 August 2009

We classify all fusion categories for a given set of fusion rules with three simple object types. If a conjecture of Ostrik is true, our classification completes the classification of fusion… Expand

Graphical calculus for fusion categories and quantum invariants for 3-manifolds

- Tobias J. Hagge
- Mathematics
- 2008

Solving differential equations with unknown constitutive relations as recurrent neural networks

- Tobias J. Hagge, P. Stinis, E. Yeung, A. Tartakovsky
- Computer ScienceArXiv
- 6 October 2017

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