"I am only one, but still I am one. I cannot do everything, but still I can do something." — Helen Keller

Dr. Han earned his Bachelor of Science in Pure and Applied Mathematics with teacher certification from the University of Jinan, China, in 2003. He subsequently completed a Ph.D. in Pure Mathematics at Shandong University in 2008, followed by a second Ph.D. in Theoretical Applied Mathematics at the University of Houston in 2012. His doctoral advisor was Professor James Giles Auchmuty, a distinguished mathematician and applied scientist, who has been a member of the Institute for Advanced Study in Princeton, held a tenured professorship at Indiana University Bloomington, and is a Fellow of the Australian Mathematical Society.

Before joining A&M–San Antonio, Dr. Han held a three-year postdoctoral scholar appointment at Worcester Polytechnic Institute. He has also engaged in visiting research programs at several academic institutions, including Yamagata University, Japan (August 2006–August 2007), the Fields Institute at the University of Toronto, Canada (November 2008), the Institute for Mathematics and Its Applications at the University of Minnesota, Twin Cities (May–June 2014), and Purdue University (June 2015).

Dr. Han considers himself an entry-level researcher in mathematics. He believes that the intricate beauty of mathematics is a reflection of God creation and takes great joy in the ongoing process of learning. His current research interests focus on the analysis and optimal control of partial differential equations.

Dr. Han is regularly invited to serve as an anonymous referee for internationally recognized scientific journals. Since October 2013, he has been an appointed reviewer for Mathematical Reviews (MathSciNet), published by the American Mathematical Society, where he has evaluated a number of significant contributions to the field. He frequently presents his research at national conferences organized by the American Mathematical Society and the Society for Industrial and Applied Mathematics. Additionally, Dr. Han currently serves on the organizing committee for the Texas Differential Equations Conference, hosted by Texas A&M University, College Station.

Dr. Han has taught a broad array of courses in the US, including Finite Mathematics, College Algebra and its corequisite model, Business Algebra, Business Calculus, Pre-Calculus, the full Calculus series, History of Mathematics, Mathematical Proofs, Ordinary Differential Equations, Linear Algebra and Matrices, Discrete Mathematics, Real Analysis, Complex Analysis, Probability, Statistics (both introductory and advanced), Abstract Algebra, Mathematical Finance, Mathematics and Politics, and Calculus of Variations.

Dr. Han draws inspiration from the example of Jesus Christ in his teaching, striving to serve and support his students. He believes that every student has the potential to learn mathematics and is committed to inspiring and engaging with them in ways that foster an appreciation for the unique beauty of the discipline. Dr. Han is particularly dedicated to mentoring undergraduate research projects, with a focus on producing good-quality work, such as that published in Involve.

Dr. Han has served in several leadership capacities at A&M-SA, including as the College Algebra Coordinator prior to Fall 2020 and as the interim Mathematics Program Coordinator in Fall 2020; currently, he serves as the A&M–San Antonio Faculty Director for the Joint Admission Medical Program (JAMP). Dr. Han has also contributed to several Quality Enhancement Plan (QEP) committees focused on Quantitative Reasoning (QR) and the University Resources Commission. Dr. Han currently serves on Faculty Senate.

Dr. Han is married to Dr. Jingbo Liu, a mathematics researcher specializing in Algebra and Number Theory, and a long-term collaborator in their shared commitment to providing high-quality education to students. Together, they have one daughter, Jacquelyn. Drs. Liu and Han are both first-generation college students and are grateful to be the first individuals in their families to earn Ph.D.s.

Doctoral Genealogy within 10 Generations: https://www.genealogy.math.ndsu.nodak.edu/

Sir George Gabriel Stokes (University of Cambridge 1841, President of the Royal Society 1885-1890, Fellow of the Royal Society of Edinburgh) ↓

John William Strutt (University of Cambridge 1868, Fellow of the Royal Society, the Winner of the Nobel Prize in Physics 1904) ↓

Sir Joseph John Thomson (University of Cambridge 1883, President of the Royal Society 1915-1920, the Winner of the Nobel Prize in Physics 1906) ↓

Ernest Rutherford (University of Cambridge, Fellow of the Royal Society, Fellow of the Royal Society of Edinburgh, the Winner of the Nobel Prize in Chemistry 1908) ↓

Archibald Vivian Hill (University of Cambridge 1909, Fellow of the Royal Society, 1 of the 2 Winners of the Nobel Prize in Physiology or Medicine 1922) ↓

Sir Ralph Howard Fowler (University of Cambridge 1915, Fellow of the Royal Society, 1 of the 2 Winners of the Nobel Prize in Physics 1983) ↓

Subrahmanyan Chandrasekhar (University of Cambridge 1933, Fellow of the Royal Society, 2 of the 2 Winners of the Nobel Prize in Physics 1983) ↓

Norman Ronald Lebovitz (University of Chicago 1961) ↓

James Giles Auchmuty (University of Chicago 1970) ↓

Qi Han (University of Houston 2012)

Selected Publications: (American Mathematical Society, MathSciNet profile; Google Scholar profile)

All of my publications adhere to the standard practice in mathematics research, where authors on joint works are listed in alphabetical order, with a few exceptions made to accommodate some of my co-authors due to unusual circumstances or practices (American Mathematical Society guidelines; mathematics authorship on wikipedia)

• Qi Han, Jingbo Liu, and Nadeem Malik. Borel lemma: geometric progression vs. Riemann zeta-function. (DOI)

• Qi Han. On partial differential equations of Waring’s-problem form in several complex variables. (DOI)

• Qi Han and Jingbo Liu. A short proof of the lemma of the logarithmic derivative in several complex variables. Appearing in Complex Analysis and Operator Theory.

• Wei Chen, Qi Han, and Qiong Wang. On generalized Fermat Diophantine functional and partial differential equations in C². Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas RACSAM, 116 (2022), Article 96. (16 pages) (DOI)

• Qi Han. Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations. Advances in Nonlinear Analysis, 11 (2022), 432-453. (DOI)

• Wei Chen and Qi Han. On entire solutions to eikonal-type partial differential equations. Journal of Mathematical Analysis and Applications, 506 (2022), Article 124704. (10 pages) (DOI)

• 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. (DOI)

• Qi Han. First Part: Compact Sobolev embeddings and positive solutions to a quasilinear equation with mixed nonlinearities. Journal of Mathematical Analysis and Applications, 481 (2020), Article 123150. (15 pages) (DOI)

                Second Part: Elliptic variational problems with mixed nonlinearities. Mathematical Methods in the Applied Sciences, 43 (2020), 1675-1684. (DOI)

                Third Part (Joint Work): Wei Chen, Qi Han, and Guoping Zhan. Continuity of weak solutions to an elliptic problem on p-fractional Laplacian. Mathematical Methods in the Applied Sciences, 46 (2023), 12660-12674. (DOI)

• Wei Chen, Qi Han, and Jingbo Liu. On Fermat Diophantine functional equations, little Picard theorem, and beyond. Aequationes Mathematicae, 93 (2019), 425-432. (DOI)

• Wei Chen and Qi Han. A non-integrated hypersurface defect relation for meromorphic maps over complete Kähler manifolds into projective algebraic varieties. Kodai Mathematical Journal, 41 (2018), 284-300. (DOI)

         Please read and compare: Do Duc Thai and Si Duc Quang. Non-integrated defect of meromorphic maps on Kähler manifolds. Mathematische Zeitschrift, 292 (2019), 211-229. https://link.springer.com/article/10.1007/s00209-018-2179-x

• Qi Han. Compact embedding results of Sobolev spaces and existence of positive solutions to quasilinear equations. Bulletin des Sciences Mathématiques, 141 (2017), 46-71. (DOI)

• Wei Chen, Qi Han, and Jingjing Qu. On Cartans theorem for linear operators. Mathematische Nachrichten, 290 (2017), 2560-2566. (DOI)

• Qi Han. Some uniqueness results related to L-functions. Bollettino dellUnione Matematica Italiana, 10 (2017), 503-515. (DOI)

         Please read and compare: Weichuan Lin and Katsuya Ishizaki. A "3IM+1CM result for periodic meromorphic functions. Journal of Mathematical Analysis and Applications, 466 (2018), 726-732. https://www.sciencedirect.com/science/article/pii/S0022247X18305018

• Qi Han. Compact embedding results of Sobolev spaces and positive solutions to an elliptic equation. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 146 (2016), 693-721. (DOI)

• Qi Han. On the first exterior p-harmonic Steklov eigenvalue. Journal of Mathematical Analysis and Applications, 434 (2016), 1182-1193. (DOI)

• Qi Han. Positive solutions of elliptic problems involving both critical Sobolev nonlinearities on exterior regions. Monatshefte für Mathematik, 176 (2015), 107-141; addendum 177 (2015), 325-327. (DOI1, DOI2)

• Qi Han. A hypersurface defect relation for a family of meromorphic maps on a generalized p-parabolic manifold. Colloquium Mathematicum, 139 (2015), 95-110. (DOI)

• Giles Auchmuty and Qi Han. Representations of solutions of Laplacian boundary value problems on exterior regions. Applied Mathematics and Optimization, 69 (2014), 21-45. (DOI)

• Giles Auchmuty and Qi Han. Spectral representations of solutions of linear elliptic equations on exterior regions. Journal of Mathematical Analysis and Applications, 398 (2013), 1-10. (DOI)

• Qi Han. A defect relation for meromorphic maps on generalized p-parabolic manifolds intersecting hypersurfaces in complex projective algebraic varieties. Proceedings of the Edinburgh Mathematical Society, 56 (2013), 551-574. (DOI)

• Qi Han. On complex analytic solutions of the partial differential equation (u_z1)^m + (u_z2)^m = u^m. Houston Journal of Mathematics, 35 (2009), 277-289. (DOI)

         Please read and compare: Feng Lü and Zhen Li. Meromorphic solutions of Fermat type partial differential equations. Journal of Mathematical Analysis and Applications, 478 (2019), 864-873. https://www.sciencedirect.com/science/article/pii/S0022247X19304664

• Xiaotian Bai and Qi Han. On a result of H. Fujimoto. Kyoto Journal of Mathematics, 49 (2009), 631-643. (DOI)

• Qi Han and Hongxun Yi. On the uniqueness problems of entire functions and their linear differential polynomials. Kodai Mathematical Journal, 30 (2007), 61-73. (DOI)

• Qi Han, Seiki Mori, and Kazuya Tohge. On results of H. Ueda and G. Brosch concerning the unicity of meromorphic functions. Journal of Mathematical Analysis and Applications, 335 (2007), 915-934. (DOI)