Links to Recent Papers by Participants that are Related to the Project, with names of project members in boldface. (Links to posters are at the bottom of this page, as well as links to articles that refer to the project.)
 Yunxiang Ren, Universal skein theory for group actions, arXiv:1903.02012
 Arthur Jaffe and Zhengwei Liu, Refelction Positivity for Levin-Wen models, arXiv:1901.10662
 Zhengwei Liu, William Norledge, and Adrian Ocneanu, The adjoint braid arrangement as a combinatorial Lie algebra via the Steinmann relations, arXiv:1901.03243
 Lu Li, Kaifeng Bu, and Zi-Wen Liu, Quantifying the resourse content of quantum channels: An operational approach, arXiv:1812.02572
 Kaifeng Bu and Dax Enshan Koh, Classical simulation of quantum circuits by half Gauss sums, arXiv:1812.00224
 Fei Wei, Arithmetic functions of natural numbers and its application, arXiv:1811.11000
 Kaifeng Bu, Weichen Gu, and Arthur Jaffe, Duality of graph invariants, arXiv:1810.08633
 Fei Wei, Disjointness of Möbius from asymptotically periodic functions, arXiv:1810.07360
 Yunxiang Ren, From skein theory to presentations for Thompson group, Journal of Algebra, 498(1) 2018, 178-196
 Ryuji Takagi, Bartosz Regula, Kaifeng Bu, Zi-Wen Liu, and Gerardo Adesso, Operational advantage of quantum resources in subchannel discrimination, arXiv:1809.01672. To appear in Physical Review Letters.
 Jordan Nikkel and Yunxiang Ren, On Jones Subgroup of R. Thompson's Group T, arXiv:1710.06972, International Journal of Algebra and Computation, 28(5) (2018), 877-903.
 Kaifeng Bu, Arthur Jaffe, Zhengwei Liu and Jinsong Wu, De Finetti Theorems for Braided Parafermions, arXiv:1805.05990
 Zhengwei Liu and Jinsong Wu, Antisymmetric Characters and Fourier Duality, arxiv:1805.04783
 Zhengwei Liu and Jinsong Wu, Extremal Pairs of Young’s Inequality for Kac Algebras, Pacific Journal of Mathematics, 295(1) (2018), 103-121.
 Arthur Jaffe, Reflection Positivity Then and Now, arXiv:1802.07880
 William Norledge, Singer cyclic lattices of type M, arXiv:1711.09332.
 William Norledge, Quotients of buildings by groups acting freely on chambers, arXiv: 1711.09330.
 William Norledge, Quotients of buildings as W-groupoids, arXiv:1710.06968.
 Keshab Chandra Bakshi, Sayan Das, Zhengwei Liu, and Yunxiang Ren, An angle between intermediate subfactors and its rigidity, arXiv:1710.00285, to appear in Transactions of the AMS.
 Zhengwei Liu, Scott Morrison, and David Penneys, Lifting shadings on symmetrically self-dual subfactor planar algebras, arXiv:1709.05023, to appear in Contemporary Mathematics.
 Zhengwei Liu, Quon Language: Surface Algebras and Fourier Duality, Comm. Math. Phys. 366 (2019), 865--894.
 Chunlan Jiang, Zhengwei Liu, and Jinsong Wu, Block maps and Fourier analysis, arXiv:1706.03551.
 Zhengwei Liu and Feng Xu, Jones-Wassermann subfactors for modular tensor categories, arXiv:1612:08573.
 Corey Jones, Zhengwei Liu, and Yunxiang Ren, Classification of Thurston-Relation Subfactor Planar Algebras, arXiv:1606.00779, to appear in Quantum Topology.
 Arthur Jaffe, Zhengwei Liu, and Alex Wozniakowski, Holographic Software for Quantum Networks, Science China Mathematics 61(4) (2018), 593-626.
 Arthur Jaffe, Zhengwei Liu, and Alex Wozniakowski, Qudit Isotopy, arXiv:1602.02671
 Zhengwei Liu, Yang-Baxter Relation Planar Algebras, arXiv:1507.06030
 Zhengwei Liu and David Penneys, The generator conjecture for 3G subfactor planar algebras. Proceedings of the 2014 Maui and 2015 Qinhuangdao Conferences in Honour of Vaughan F.R. Jones' 60th Birthday. 344-366
Links to Posters by Participants that are Related to the Project.
These may be large files, which take some time to load.
 Harvard Physics Research Scholar Retreat September 12, 2018. Poster by Kaifeng Bu (Awarded first prize)
Links to Articles that Refer to the Project.
 Peter Reuell, Picture Perfect Approach to Science, Harvard Gazette, January 24, 2018.
 Daniel S. Silver, The New Language of Mathematics, American Scientist, 105:6 (2017), 365.
 Peter Reuell, Making Math More Lego Like, Harvard Gazette, March 2, 2017.