### Research Statement

Prof. Wu has been extensively working on various problems in the frontier of theoretical physics (particle theory, condensed matter theory and mathematical physics). These include unified string theory, quantum gauge field theory, fractional statistics and strongly correlated systems, integrable field theory and statistical models (quantum groups and the Yang-Baxter equations), as well as geometry and field/string theory on a space time with non-commutative coordinates. In particular, he is interested in the topological aspects of physical phenomena in both particle and condensed-matter physics, and in the geometric and algebraic structures underlying the fundamental laws in physics that unify all matter and forces in nature. In recent years, he also became interested in topological quantum computation: an emergent interdisciplinary research frontier between physics, mathematics and computer science.

### Research Keywords

- Theoretical Physics
- String Theory
- Statistical Mechanics
- Quantum Field Theory
- Mathematical Physics
- Elementary Particle Physics
- Condensed Matter theory

### Presentations

- "When Topology Meets Many-Body Physics -- the Making of 2016 Nobel Prize in Physics", Colloquium, Department of Physics and Astronomy, University of Utah. Other, Presented, 12/08/2016.
- "Chinese Magic and Hidden Simplicity in Yang-Mills Theory", Invited Seminar, Institute for Advanced Study, Tsinghua University, Beijing. Invited Talk/Keynote, Presented, 10/12/2016.
- "Correspondence between solutions of Scattering Equations and Scattering Amplitudes in Four Dimensions", Talk given by at the International Conference High Energy Physics 2016, Chicago, Illinois, U.S.A. Contributed Talk, Presented, 08/04/2016.
- "One Hundred Years of the Exploration of Gravitation Waves -- from Einstein to LIGO", Colloquium, Interdisciplinary Center for Theoretical Science, University of Science and Technology of China, Hefei, Anhui Province, China. Other, Presented, 04/22/2016.
- “Scattering Equation and Yang-Mills Amplitudes”， Invited talk given at the Fudan-Tokyo-Yonsei Workshop on Nuclear and Particle Physics", Fudan University, Shanghai, China. Invited Talk/Keynote, Presented, 04/14/2016.
- "One Hundred Years of the Exploration of Gravitation Waves -- from Einstein to LIGO", Popular Science Lecture, Fudan University, Shanghai, China. Other, Presented, 03/08/2016.
- "Gauging Quantum Groups: Yang-Baxter joining Yang-Mills", Invited Talk given at the Institute for Advanced Study, Tsinghua University, Beijing, China; June 25, 2015. Invited Talk/Keynote, Presented, 06/30/2015.
- "Gauging Quantum Groups -- Yang-Baxter joining Yang-Mills", Invited talk given at the International Conference on 60 Years of Yang-Mills Theory", National Nanyang University, Singapore, May 25-29, 2015. Invited Talk/Keynote, Presented, 05/28/2015.
- "Emergent Properties in Two-dimensional Topological Phases from Discrete Exactly Solvable Models", given at the Internal Workshop on "Topological States of Quantum Matter", held at the Center of Field Theory and Particle Physics, Fudan University, Shanghai, China; July 2014. Invited Talk/Keynote, Presented, 07/11/2014.
- "Ideas, Thoughts and Recent Trends on the Frontiers of Foundations of Theoretical Physics", Keynote at the 2014 Across-Strait Conference on ``Particle Physics and Field Theory'', held at the Interdisciplinary Center of Theoretical Science, University of Science and Technology of China (Hefei, Anhui Province; China) . Invited Talk/Keynote, Presented, 05/05/2014.
- "Review and Comments on Recent BICEP II Results", Seminar at the Department of Physics, Fudan University (Shanghai, China). Other, Presented, 03/25/2014.
- "Holography between Bulk Entropy and Entanglement Entropy at the Boundary", given at the 4th FQXi Conference at Vieques, Puerto Rico (January 5-9, 2014). Contributed Talk, Presented, 01/07/2014.
- ``Quantum Field Theory of Condensed Matter Systems'', Mini-course lectures, Department of Physics, Tsinghua University, Beijing, China. Other, Presented, 07/17/2013.
- "Recent Progress in Discrete Exactly Solvable Models for Topological Phases in Two-dimensional Systems", given at the International Symposium on "Topology and Physics", held at the Institute for Advanced Study, Tsinghua University, Beijing, China (July 1-12, 2013). Invited Talk/Keynote, Presented, 07/04/2013.
- "Recent Development of Exactly Solvable Discrete Models for 2d Topological Quantum Matter'', at the Symposium on Frontiers in Condensed Matter Physics, Institute for Advanced Study, Hong Kong University of
Science and Technology (Hong Kong, China; Dec 17-18, 2012).
Invited Talk/Keynote,
Presented, 12/17/2012.

http://publish.ust.hk/WebAlbum2/Web/PreviewAlbum.a... - "Twisted Quantum Double Model: A Generalized Toric Code",
at the 2012 Hong Kong Forum of Physics on
Hong Kong University (Hong Kong, China; Dec 12-13, 2012).
Invited Talk/Keynote,
Presented, 12/12/2012.

http://www.physics.hku.hk/~ctcp/HKForum12/Index.ht... - "Topological Quantum matter and Phase Transitions", Lecture Series at the 2nd Fudan Summer School on Condensed Matter Physics, Fudan University (Shanghai, China; July 12-30, 2012).
Invited Talk/Keynote,
Presented, 07/27/2012.

http://www.fdss-phy.fudan.edu.cn/en/ - "Yang-Mills, Yang-Baxter and Contemprorary Physics", at the Symposium in Honor of Professor Chen-Ning Yang's 90th Birthday, The Institute for Advanced Study, Tsinghua University (Beijing, China; June30, 2012). Invited Talk/Keynote, Presented, 06/30/2012.
- "Ground State Degeneracy and Non-Abelian Braiding Statistics in 2d Exactly Solvable Discrete Models for Topological Matter", at the 3rd International Workshop on "Entanglement, Decoherence and Quantum Control", Shanghai University (Shanghai, China; June 12-14, 2012).
Invited Talk/Keynote,
Presented, 06/12/2012.

http://www.stevens.edu/ccqs/EDC2012/introduction2.... - "de Sitter Relativity Does Not Allow Superluminal Neutrinos", at the Workshop on "de Sitter Physics and Mathematical Problems", Beijing Morningside Center for Mathematics, Chinese Academy of Science (Beijing, China; May 26-27, 2012). Invited Talk/Keynote, Presented, 05/26/2012.
- "Recent developments in Exactly Solvable Discrete Models for Topological Phases", given at the American Physical Society March meeting, held at Boston, MA. Contributed Talk, Presented, 02/27/2012.
- "Type Ia Supernovae and the Accelerated Expansion of the Universe-On 2011 Nobel Prize of Physics", given at Department of Physics, Fudan University (Shanghai, China). Invited Talk/Keynote, Presented, 12/13/2011.
- "Faster-Than-Light Neutrinos: Real or Phantom?", given at the Institute for Advanced Study, Tsinghua University (Beijing, China). Invited Talk/Keynote, Presented, 10/31/2011.
- "Recent Progress in 2d Exactly Solvable Models for Topological Phases", given at the Summer School on "Topological Quantum computation", held at Beijing International Center of Mathematical Research", Beijing University. Invited Talk/Keynote, Presented, 07/2011.
- "Recent Progress in 2d Exactly Solvable Models for Topological Phases", given at the International Summer School and Workshop on "Topological Aspects of Condensed matter Physics", held at the Abdus Salam International Center for Theoretical Physics (Trieste, Italy). Invited Talk/Keynote, Presented, 06/27/2011.
- "Ground State Degeneracy as Topological Invariant in 2d Exactly Solvable Models for Topological Phases", given at the International Symposium on "Conformal Field Theory and Tensor Category", held at Beijing International Center of Mathematical Research", Beijing University. Invited Talk/Keynote, Presented, 06/14/2011.
- "Emergent Properties of Topological Quantum Matter and Fundamental Physics", given at the Annual Meeting of Department of Physics, Fudan University (Shanghai, china). Invited Talk/Keynote, Presented, 06/04/2011.
- "The Yang-Mills Field and Its Mass Gap-The Seventh Clay Institute Millennium Prize Problem", given at the Fudan Institute for Mathematics, Fudan University (Shanghai, China). Invited Talk/Keynote, Presented, 11/17/2010.
- "Topological Effects in Physics", given at Department of Physics, Shanghai Jiao Tong University. Invited Talk/Keynote, Presented, 10/27/2010.
- "Atiyah-Patodi-Singer Index Theorem, Spectral Flow and Topological Z_2 Number for Time-Reversal Invariant Systems", given at the International Conference on "Novel Quantum States in Condensed Matter", held at the Beijing Center of University of Chicago (Beijing, China). Invited Talk/Keynote, Presented, 09/01/2010.
- "New Trends in Foundational Theoretical Physics", given at the Fudan Workshop on "Topological Phases and Emergent Phenomena in Physics", held at Fudan University (Shanghai, China). Invited Talk/Keynote, Presented, 07/05/2010.
- "Ground State Degeneracy in Abelian Topological Phases", given at the Institute for Advanced Study at Tsinghua University (Beijing, China). Invited Talk/Keynote, Presented, 06/29/2010.
- "Theory of Fractional Statistics", given at the Institute for Advanced Study at Tsinghua University (Beijing, China). Invited Talk/Keynote, Presented, 06/28/2010.
- "Topological States of Quantum Matter", given at the Symposium on "New Directions in Theoretical Physics", in celebration of Professor Hua-Zhong Li's 80th birthday and 60 years of teaching, held at the Center for Advanced Study, Sun Yat-Sen University (Canton, China). Invited Talk/Keynote, Presented, 06/05/2010.
- "Topological Quantum matter and Interdisciplinary Frontiers of Theoretical Science", given at the workshop "Topology and Physics", held at Putuo Mountain Resort, (Zhou-Shan Islands, Zhejiang Province, China). Invited Talk/Keynote, Presented, 05/21/2010.

### Research Groups

- Ethan Lake , Undergraduate Student. Physics and Astronomy . 09/2015 - present.
- Zhuxi Luo, Graduate Student. Physics and Astronomy. 01/12/2015 - present.
- Yi-Jian Du , Visiting Student. Physics and Astronomy/High Energy Theory. 10/01/2013 - 12/01/2013.
- Yuting Hu , Postdoc. Physics and Astronomy . 08/15/2013 - 06/30/2016.
- Fei Teng, Graduate Student. Department of Physics. 08/26/2010 - 12/31/2016. Awards/Scholarships/Stipends: Got PhD in 2016.
- Brendan Pankovich, Graduate Student. Physics and Astronomy. 08/23/2009 - present.
- Fuwen Shu, Postdoc. Physics and Astronomy. 01/2009 - 06/2010. Awards/Scholarships/Stipends: Supported by an FQXi grant.
- Eric Brown, Graduate Student. Physics and Astronomy. 08/2007 - 05/2009. Awards/Scholarships/Stipends: Got Master (thesis) in 2009 .
- Yuting Hu, Graduate Student. Physics and Astronomy. 08/27/2006 - 08/14/2013. Awards/Scholarships/Stipends: Outstanding Research Award 2013 Outstanding Teaching Assistant Award 2013.
- Aaron Ballard, Graduate Student. Physics and Astronomy. 08/2005 - 08/2010.
- Fa-Min Chen, Graduate Student. Physics and Astronomy. 01/2004 - 08/2010.

### Languages

- Chinese, fluent.
- English, fluent.

### Geographical Regions of Interest

- Canada
- China
- Hong Kong Special Administrative Region of China
- Japan
- Taiwan

### Publications

- "Bulk-Edge Correspondence, Spectral Flow, and Atiyah-Padoti-Singer Theorem for the Z_2-invariant in Topological Insulators", Nuclear Physics
**B.**(01/2017). Accepted, 01/19/2017. - "Direct Evaluation of n-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills thery using the CHY formalism", JHEP 09 (2017) 171. Published, 01/2017.
- "Correspondence between solutions of Scattering Equations and Scattering Amplitudes in Four Dimensions", Talk given by at the International Conference High Energy Physics 2016, Chicago. Accepted, 12/2016.
- "Characterizing the solutions to scattering equatins that support tree-level N^kMHV gaue/gravity amplitudes". JHEP 11 (2016) 088. Published, 11/2016.
- Signature of Broken Parity and Time-Reversal Symmetry in Generalized String-Net Models', Physical Review
**B 94**, 115139 (2016). Published, 09/2016. - "On Quantum Entanglement in Topological Phases on a Torus", Phys. Rev. B94, 075126 (2016). Published, 08/12/2016.
- "CHY Formula and MHV ampitudes", JHEP 05 (2016) 086. Published, 05/2016.
- "Gauging Quantum Groups -- Yang-Baxter joining Yang-Mills", Modern Physics Letters
*B*,**30**, 1630003 (2016). Published, 03/2016. - "Gauging Quantum Groups -- Yang-Baxter joining Yang-Mills", in the Proceedings of the International Conference on "60 Years of the Yang-Mills Theory", Institute for Advanced Study, Nanyang University; Singapore; May 25-30, 2015. (World Scientific Publish Company, Singapore). Published, 01/2016.
- ``Full Dyon Spectrum Excitation Spectrum of Generalized Levin-Wen Models'',arXiv:1502.03433. In progress, 03/2015.
- ``Exotic Fractional Topological States in Two-Dimensional Organometallic Material'', Phys. Rev.
**B 89**, 125411 (2014). Published, 09/2014. - ``Exotic electronic states in the world of flat bands: from theory to material'', Chinese Phys. B 23, 077308 (2014). Published, 08/2014.
- ``Emergent Exclusion Statistics of Fibonnaci Anyons in 2D Topological Phases'', Phys. Rev.
**B 89**, 115133 (2014). Published, 03/2014. - ``Twisted Quantum Double Model of Topological Phases in Two Dimensions'', Phys. Rev.
**B 87**, 125114 (2013). Published, 03/2013. - ``Flat Chern Band in a Two-Dimensional Organometallic Framework'', Phys. Rev. Lett.
**110**, 106804 (2013). Published, 02/2013. - "Construction of New D=3, N=4 Quiver Gauge Theories", JHEP
**1302**, 016 (2013). Published, 12/2012. - "Fusion of Superalgebras and D=3, N=4 Quiver Gauge Theories", arXiv:1212.6650. In progress, 12/2012.
- "Emergent Exclusion Statistics for Fibonnaci Anyons in 2d Topological Phase", Phys. Rev. B89, 115133 (2014) . Published, 12/2012.
- ``Twisted Quantum Double Model of Topological Phases in Two Dimensions``, Phys. Rev.
**B 87**, 125114 (2013). Accepted, 12/2012. - ``Fusion of Superalgebras and D=3, N=4 Quiver Gauge Theories'', eprint arXiv:1212.6650 (hep-th). Released, 12/2012.
- "Ground State Degeneracy in the Levi-Wen Model for Topological Phases Phases", Phys. Rev.
**B 85**, 075107 (2012). Published, 02/2012. - "Stable Non-trivial Z_2 Topology in Ultrathin Bi (111) Films: a First-Principle Study", Phys. Rev. Lett.
**107**, 136805 (2011). Published, 10/2011. - "Renormalization Group Flow for Noncommutative Fermi Liquids", Phys. Rev.
**D 83**, 125006 (2011). Published, 06/2011. - "Superspace Formulation in a Three-Algebra Approach to D=2,N=4,5 Superconformal Chern-Simons Matter Theories", Phys. Rev.
**D82**, 106012 (2010). Published, 12/2010. - "Reply to a Comment on 'Statistical Distribution for Generalized Ideal Gas of Fractional Statistics Particles'", Phys. Rev. Lett.
**105**, 198902 (2010). Published, 05/2010. - "Extra-Special Two-groups, Generalized Yang-Baxter Equations and Braiding Quantum Gates", Quant. Info. and Comp. 10, no.
**7 & 8**, 0685-0702 (2010). Published, 02/2010. - "Cartan Decomposition and Entangling Power of Braiding Quantum Gates", Chapter 1 in Proceedings of the International Conference on "Cross Disciplinary Advances in Quantum Computing", (ed. K. Mahdavi, D. Koslover, L. Brown), Contemporary Mathematics Book Series by Amer. Math. Society (Providence Rhode Island; 2010). Published, 01/2010.
- "Symplectic Three-Algebra and N=6 Sp(2N) x U(1) Superconformal Chern-Simons-Matter Theory", Euro. Phys. Jour.
**C69**, 305 (2010). Published, 01/2010.