Dr. Liu received her Bachelor in Mathematics (Education with a teacher certification of China) from Hebei Normal University, China in 2007, her Master in Mathematics (on analytic number theory) from Shandong University, China in 2010, her Ph.D. in Mathematics (on algebraic number theory) from Wesleyan University, CT in 2016, and held a two-year Post-Doctoral Scholar position at Hong Kong University, China before joining A&M-SA in 2018 for family reunion. In addition, she has experiences in visiting MSRI/SLMath, UC Berkeley; Banff International Research Station, Canada; La Trobe University, Australia; Seoul National University, South Korea; and Imperial College London, UK etc.

The academic family tree of Dr. Liu within 10 generations, based on Mathematics Genealogy Project, is Carl Friedrich Gauss → Johann Franz Friedrich Encke → Karl Christian Bruhns → Hugo Hans von Seeliger → Gustav Herglotz/Otto Ludwig Hölder → Emil Artin → Nesmith Cornett Ankeny → John Sollion Hsia → Wai Kiu Chan → Jingbo Liu

The primary research field of Dr. Liu is quadratic/Hermitian forms/lattices and applications to lattice-based cryptography; her recent research publications appeared in Bulletin des Sciences Mathématiques, International Mathematics Research Notices, Journal of Algebra, Journal of Number Theory, and Transactions of the American Mathematical Society, all top-tier journals in the field. Dr. Liu has presented her research findings at meetings organized by the American Mathematical Society frequently and symposia organized by the Association for Women in Mathematics at UCLA and TAMU, and at international conferences hosted/organized by Imperial College London, UK, Seoul National University, South Korea, Hong Kong University, China, and the University of Sydney, Australia etc.

Dr. Liu has taught various undergraduate courses in the U.S. both at Wesleyan and A&M-SA including College Algebra, Pre-Calculus, Differential and Integral Calculus, Discrete Mathematics, Linear Algebra, Mathematical Proofs, Advanced Probability, Modern Algebra, Number Theory, and (basic) Lattice Theory, and truly enjoys mathematics teaching.

As dedicated to excellence in educating particularly the first-generation students, Dr. Liu is very interested in directing rigorous undergraduate research projects which can lead to quality work. Five of her undergraduate mentees have presented both at MAA MathFest 2021/2023 and JMM AMS-PME 2022/2024.

Dr. Liu served as the single Program Director successfully holding the 2023 National Research Experience for Undergraduate Program (NREUP): A&M-SA Summer Research Program on Lattice Reduction Theory being funded by the National Science Foundation through the Mathematical Association of America and she was the solo Principal Investigator.

Selected Publications: (All publications follow the tradition in mathematics research listing authors on joint work in alphabetical order)

1. Cong Ling, Jingbo Liu, and Andrew Mendelsohn. On the spinor genus and the distinguishing lattice isomorphism problem. Accepted by International Association for Cryptologic Research—Asiacrypt 2024: International Conference on the Theory and Application of Cryptology and Information Security. To be published in Advances in Cryptology—ASIACRYPT 2024, Lecture Notes in Computer Science, Springer. Rank A (the highest rank) https://iacr.org/cryptodb/data/paper.php?pubkey=34658                                                                                                                                                                             An interdisciplinary collaborative research on Lattice-based Cryptography supported by rigorous mathematical proofs.
2. Qi Han, Jingbo Liu, and Nadeem Malik. Borel lemma: geometric progression vs. Riemann zeta-function. (Under review) https://doi.org/10.48550/arXiv.2401.14481
3. Jingbo Liu. An algorithm for g-invariant on unary Hermitian lattices over imaginary quadratic fields. (Under review) https://doi.org/10.48550/arXiv.2309.16138
4. Jingbo Liu. g-invariant on unary Hermitian lattices over imaginary quadratic fields with class number 2 or 3. Journal of Algebra, 622 (2023), 636-675. (SCI) https://www.sciencedirect.com/science/article/pii/S0021869322005695
5. Jingbo Liu and Bruce McOsker* (Undergraduate student). A new proof of Legendres theorem on the Diophantine equation ax²+by²+cz²=0. https://doi.org/10.48550/arXiv.2309.06616
6. Jingbo Liu. On a Waring’s problem for Hermitian lattices. Bulletin des Sciences Mathématiques, 174 (2022), Article 102970 (25 Pages). (SCI) https://www.sciencedirect.com/science/article/pii/S0007449721000269
   
7. Qi Han and Jingbo Liu. Algebraic differential independence regarding the Riemann ζ-function and the Euler Γ-function. Journal of Number Theory, 221 (2021), 109-121. (SCI) https://www.sciencedirect.com/science/article/pii/S0022314X20300147
8. Ben Kane and Jingbo Liu. Universal sums of m-gonal numbers. International Mathematics Research Notices IMRN, (2020), 6999-7036. (SCI) https://ieeexplore.ieee.org/document/9519216
   
9. Qi Han and Jingbo Liu. On differential independence of ζ and Γ. Annales Polonici Mathematici, 124 (2020), 151-159. (SCIE) https://www.impan.pl/en/publishing-house/journals-and-series/annales-polonici-mathematici/all/124/2/113414
10. Constantin Nicolae Beli, Wai Kiu Chan, María Inés Icaza, and Jingbo Liu. On a Waring’s problem for quadratic and Hermitian forms. Transactions of the American Mathematical Society, 371 (2019), 5505-5527. (SCI) https://www.ams.org/journals/tran/2019-371-08/S0002-9947-2018-07571-7
    
11. Wei Chen, Qi Han, and Jingbo Liu. On Fermat Diophantine functional equations, little Picard theorem, and beyond. Aequationes Mathematicae, 93 (2019), 425-432. (SCIE) https://link.springer.com/article/10.1007/s00010-018-0614-z
    
12. Jingbo Liu and Alicia Marino. Strictly regular ternary Hermitian forms. Journal of Number Theory, 168 (2016), 374-385. (SCI) https://www.sciencedirect.com/science/article/pii/S0022314X16300907
    
13. Amy Feaver, Anna Haensch, Jingbo Liu, and Gabriele Nebe. Kneser-Hecke-operators for codes over finite chain rings. Directions in number theory, 245-270. Proceedings of the 2014 WIN3 Workshop “Women in Numbers.” Association for Women in Mathematics Series. Springer, Switzerland, 2016. https://link.springer.com/chapter/10.1007/978-3-319-30976-7_8

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