Inspire HEP: Zhian Jia
Physics Stack Exchange: link
Twitter/X: Zhian Jia
Welcome to my homepage!
I am a researcher in mathematical and theoretical physics, focusing on the mathematical structures that underpin quantum theory and its manifestations in quantum field theory and quantum phases of matter, quantum information and computation.
My recent work centers on topological field theories and their lattice realizations (topological orders), as well as generalized symmetries in both field-theoretic and lattice frameworks.
I began my research career in quantum information and computation theory; therefore, I also work on traditional topics in quantum information and computation, and I am broadly interested in the intersections of high-energy physics, quantum matter, and quantum information science, especially in applying quantum information tools to quantum field theory and condensed matter systems.
$$ \operatorname{Hopf}: \mu\circ (\operatorname{id}\otimes S) \circ \Delta = \eta\circ \varepsilon = \mu \circ (S\otimes \operatorname{id}) \circ \Delta$$
$$\operatorname{Bulk-Boundary}: \mathsf{Bulk} \simeq Z(\mathsf{Boundary}) $$
$$\operatorname{TQFT}: \mathsf{Cob}_{d+1} \to \mathsf{Hilb} $$
$$\operatorname{QECC}: \mathsf{R}\circ \mathsf{E}(\varrho) \propto \varrho $$
$$\text{index}(D) = \int_{{T^*}M} \text{Ch} (\psi(\sigma_H(D))) \wedge \text{Td}(M)$$
$$\operatorname{Anyon condensation}: \mathbf{C} \to \mathsf{Mod}_L(\mathbf{C})= \mathbf{C}_L$$
$$\operatorname{SymTFT}: \mathbf{B}_{sym} + Z(\mathbf{B}_{sym}) + \mathbf{B}_{phys} $$
For more details of my research, please refer to my
research page and publication/preprint page.
If you are interested in these topics, feel free to contact me via email.
“On some shelf in some hexagon, it was argued, there must exist a book that is the cipher and perfect compendium of all other books, and some librarian must have examined that book; this librarian is analogous to a god. In the language of this zone there are still vestiges of the sect that worshiped that distant librarian. Many have gone in search of Him. For a hundred years, men beat every possible path and every path in vain. How was one to locate the idolized secret hexagon that sheltered Him? Someone proposed searching by regression: To locate book A, first consult book B, which tells where book A can be found; to lo cate book B, first consult book C, and so on, to infinity....It is in ventures such as these that I have squandered and spent my years. I cannot think it unlikely that there is such a total book on some shelf in the universe. I pray to the unknown gods that some man-even a single man, tens of centuries ago-has perused and read that book. If the honor and wisdom and joy of such a reading are not to be my own, then let them be for others. Let heaven exist, though my own place be in hell. Let me be tortured and battered and annihilated, but let there be one instant, one creature, wherein thy enormous Library may find its justification.”
I am also actively engaged in academic communication through conferences, seminars, and collaborative community activities, aiming to contribute to and learn from the broader scientific community.
See this page for details about my academic activities, including the conferences and workshops I have participated in or plan to attend, as well as my editorial and reviewing work.
I also actively engage in popular science communication and digital content creation in mathematics and theoretical physics across multiple platforms.
I enjoy discussing interesting topics with others, so feel free to reach out via email.
Beyond my work in mathematics and physics,
I enjoy reading books—some of my favorites are "One Hundred Years of Solitude", "Don Quixote", "Moby-Dick", "The Brothers Karamazov", "On the Road", "Pale Blue Dot"—as well as traveling and writing.
Check this link (in Chinese) for my 2026 reading list.