Bin Lu, Professor
Welcome to my faculty webpage!
Contact Information
Education
Ph.D. LSU
Research Interests
Domain Theory, Dynamical Systemes, Knot Theory, Measure and Probability via Domains, Math EducationDomain Theory is a branch of mathematics that studies special kinds of partially ordered sets called domains. It provides mathematical models for computation and serves as a foundation for programming language semantics. Domain theory is particularly important in understanding recursive definitions and in analyzing the behavior of algorithms.
Knot Invarient: Mathematical tools that help identify and classify knots. These are quantities that remain the same for equivalent knots, allowing mathematicians to determine when two knots are different from each other. Knot invariants range from simple yes/no answers to complex mathematical structures and help connect knot theory to other areas of mathematics.
Computability Theory: The study of what problems can be solved using step-by-step methods and which ones cannot. This field explores the boundaries of what computers can calculate and organizes unsolvable problems into different levels of difficulty.
Selected Publications
- Sun, Shuhao, Lei, JG, B. Lu, A Note on Marcinkiewucz-Zygmund Strong Law of Large Numbers, To appear.
- Sandie Han, B. Lu, S. Tu, J. K. Zhong, Inquiry-Based Learning in Cellege Mathematics in the US, Its Past and Present, Journal of College Mathematics,53-59, Volume 31, No. 5, October 2015
- B. Lu, J. K. Zhong, On Teaching College Business Mathematics in the US, Current and Its Trend, Journal of Mathematical Education, 1-3, Volume 6, December 2014
- B. Lu, J. K. Zhong, The Kauffman Polynomials of Pretzel Knots, Journal of Knot Theory and its Ramifications, 157-169, Volume 17, Number 2, February 2008
- B. Lu, J. K. Zhong. The Kauffman Polynomials of Generalized Hopf Links, Journal of Knot Theory and Ramifications, 1291-1306, Volume 11, Number 8, December 2008
- Jimmie Lawson, Bin Lu, Riemann and Edalat Integration on Domains, Theoretical Computer Science 305 (2003) 259-275
- Jianyuan K. Zhong, B. Lu, On the Kauffman Skeen Modules, Manuscripta Math. 10, 29-47 (2002)
Recent Student Projects
- Art in Linear Programming
- Image Compressions Via Discrete Fourier Transformation
Interesting Websites
Useful Links:
- American Mathematical Society https://www.ams.org/home/page
- Mathematical Association of America https://maa.org
- Uof A Math: https://www.math.arizona.edu/
- LSU Math: https://www.math.lsu.edu/
- Math Genealogy: https://www.mathgenealogy.org/
- Math History: https://mathshistory.st-andrews.ac.uk
- Wolfram Math: https://mathworld.wolfram.com/
- NCTM Math: https://www.nctm.org/classroomresources
Math career Information:
- Cryptography Career Hub: The National Security Agency
- Mathematical Finance Jobs: wilmott.com
- Mathematics in Industry: math-jobs.us
- Mathematics Career Navigator: Sloan Career Cornerstone Center
- Advanced Mathematics Job Board: monster.com
- ValueAtRisk & Quantitative Finance: gloriamundi.org
- Mathematics in STEM Forum: math-discussion-forum
- Job Application Strategic Guide: getting-your-resume-read
- Ph.D. Program Selection Guide: how-to-choose-a-Ph.D-program
News:
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