Jingbo Liu

Jingbo Liu

Assistant Professor of Mathematics
College Of Arts And Sciences
Department of Mathematical, Physical, and Engineering Sciences
Academic and Administration Building 314T

210-784-2812   |jliu@tamusa.edu

View Curriculum Vitae

Dr. Liu received her Ph.D. in Mathematics from Wesleyan University, Middletown, CT in 2016 and held a two-year post-doctoral scholar position at the University of Hong Kong before joining A&M-SA in 2018 primary for the family reunion. In addition, she has experiences in visiting MSRI at UC Berkeley, Banff International Research Station at Canada, La Trobe University at Australia, and Seoul National University at South Korea etc.

Dr. Liu has conducted mathematics research mainly in quadratic and 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 of which are top-tier journals in the field. Dr. Liu has presented her research at meetings organized by the American Mathematical Society frequently and a symposium organized by the Association for Women in Mathematics at UCLA, and at international conferences hosted/organized by the University of Sydney at Australia and Seoul National University at South Korea 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/integral calculus, discrete mathematics, linear algebra, mathematical structures and proofs, probability, and modern algebra, and truly enjoys mathematics teaching. As dedicated to excellence in educating particularly the first-generation students, she is very interested in directing rigorous undergraduate research projects that lead to good publications*. One of her undergraduate mentees presented the work 2 below both at MAA MathFest 2021 and JMM AMS-PME 2022.

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

  1. 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
  2. Jingbo Liu and Bruce McOsker* (Undergraduate student). A new proof of Legendre's theorem on the Diophantine equation ax2+by2+cz2=0. (Under review) https://arxiv.org/abs/1912.11750
  3. 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
  4. 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
  5. Ben Kane and Jingbo Liu. Universal sums of m-gonal numbers. International Mathematics Research Notices, (2020), 6999-7036(SCI) https://ieeexplore.ieee.org/document/9519216
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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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Courses Teaching

Subject Number Section Description Term Syllabus
MATH 4340 001 Modern Algebra Spring 2023 Syllabi
MATH 3340 002 Linear Algebra with Appl Spring 2023 Syllabi
MATH 3325 001 Intro to Mathematical Proofs Spring 2023 Syllabi