Personal Website of Lin JIU

JIU, Lin 酒 霖 Lin JIU

Assistant Professor of Mathematics                     @     Duke Kunshan University
Assistant Professor of the Practice                       @     Duke University
Adjunct of the Faculty of Graduate Studies           @     Dalhousie University



♣   Multi-headed lattices and Green functions (Slides)
    Invited Seminar Talk, Department of Mathematics and Statistics, Dalhousie University, Halifax, NS, Canada, Oct. 08, 2024
 
♣   q-Analogues on Hankel Determinants: the q-Euler Numbers and the q-Binomial Transform (Slides)
    The Canadian Number Theory Association XVI, Fields Institute, Toronto, ON, Canada, June 10--14, 2024.
 
♣   Shuffle to One, Shuffle to Normal (Slides)
    Invited Seminar Talk, Department of Mathematics and Statistics, Dalhousie University, Halifax, NS, Canada, Jan. 31, 2024
 
♣   Random Walk Models for Identities Involving Bernoulli and Euler Polynomials of Higher-orders (Slides)
    Invited Seminar Talk, Department of Mathematics and Statistics, Dalhousie University, Halifax, NS, Canada, Mar. 6th, 2023
 
♣   Random Walk Model on Finite Number of Sites (Slides)
    Invited Seminar Talk, School of Mathematics, Anhui University, Online, Oct. 19, 2022
 
♣   Bernoulli Symbol and Multiple Zeta Function at Non-negative Integers (Slides)
    The First International Conference on Multiple Zeta Values and Related Topics, Online, Aug. 08-09, 2022.
 
♣   Hankel Determinants of Certain Sequences of Bernoulli and Euler Polynomials (Slides)
    Invited Seminar Talk, Department of Mathematics, Zhejiang Sci-Tech University, Online, June 12, 2022.
 
♣   Bernoulli and Euler Symbols: Umbral Calculus, Random Variables, and Multiple Zeta Values (Slides)
    Duke Kunshan University-Shanghai Jiao Tong University Joint Workshop for Mathematics and Data Science, Shanghai, P. R. China, Jan. 5, 2022.
 
♣   Random Walk Models for Non-trivial Identities Involving Bernoulli and Euler Polynomials of Higher-orders (Slides)
    Suzhou Area Youth Mathematicians 2nd Annual Workshop, Soochow University, Suzhou, Jiangsu Province, P. R. China, Sept. 25–26, 2021.
 
♣   Random Walks and Identities Involving Bernoulli and Euler Polynomials of Higher-order (Slides)
    Invited Seminar Talk, Institute of Statistics and Big Data, Renming University of China, Beijing, P. R. China, June 18, 2021.
 
♣   Examples on Computer Proofs (Slides)
    Invited Seminar Talk, Wuhan University, Wuhan, Hubei Province, P. R. China, May 28, 2021.
 
♣   Hankel Determinant of Sequences Related to Bernoulli and Euler Polynomials (Slides)
    DKU-WHU Math and Stat Academic Workshop, Wuhan University, Wuhan, Hubei Province, P. R. China, May 27, 2021.
 
♣   Hankel Determinant on Sequences Related to Bernoulli and Euler Polynomials (Slides)
    Suzhou Area Youth Mathematicians 1st Annual Workshop, Duke Kunshan University, Kunshan, Suzhou, Jiangsu Province, P. R. China, Nov. 14–15, 2020.
 
♣   Three Examples on Computer Proofs (Slides)
    Zu Chongzhi Colloquium Series, Duke Kunshan University, Kunshan, Suzhou, P. R. China, Nov. 6, 2020.
 
♣   Orthogonal Polynomials for Higher-order Euler Polynomials (Slides)
    The 15th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA), Hagenberg, Austria, July 22--26, 2019.
 
♣   On Harmonic Sums: Integral and Matrix Representations with Connections to Partition-theoretic Generalization of the Riemann Zeta-function and Random Walks (Slides)
    Analytic and Combinatorial Number Theory: The Legacy of Ramanujan (A conference in honor of Bruce C. Berndt's 80th birthday), University of Illinois at Urbana-Champaign, Urbana, IL, U. S. A., June 6--9, 2019.
 
♣   Random Walk Approaches to Identities on Higher-order Bernoulli and Euler Polynomials (Slides)
    AMS Spring Southeastern Sectional Meeting, Auburn University, Auburn, AL, U.S.A. Mar. 15--17, 2019.
 
♣   Matrix Representation for Higher-Order Euler Polynomials (Slides)
    2019 Joint Mathematics Meetings, Baltimore, MD, U.S.A. Jan. 16–19, 2019.
 
♣   Bernoulli Symbol and Sum of Powers (Slides)
    International Congress on Mathematical Software 2018, University of Notre Dame, Notre Dame, IN, U.S.A., July 24–27, 2018.
 
♣   Random Walks and Identities for High-order Bernoulli and Euler Polynomials (Slides)
    The 18th International Conference on Fibonacci Numbers and Their Applications, Halifax, NS, Canada, July 1–8, 2018.
 
♣   Matrix Representations for Bernoulli and Euler Polynomials (Slides)
    2018 Canadian Mathematical Society Summer Meeting, Fredericton, NB, Canada, June 1--4, 2018.
 
♣   The Probabilistic and Combinatorial Interpretations of the Bernoulli Symbol (Slides)
    2017 Canadian Mathematical Society Winter Meeting, Waterloo, ON, Canada, Dec. 8th--11th, 2017.
 
♣   Bernoulli Symbol on Multiple Zeta Values at Negative Integers (Slides)
    23rd Conference on Applications of Computer Algebra (Commemorating the heritage of Jonathan Michael Borwein), Jerusalem, Israel, July 17th--21st, 2017.
 
♣   On Bernoulli Symbol (Slides)
    Klagenfurt-Linz-Wien Workshop, Reifnitz, Austria, May 03rd--06th, 2017.
 
♣   The Method of Brackets (MoB) and Integrating by Differentiating (IbD) Method (Slides)
    Laboratoire des Signaux et Systemes, Université Paris Sud XI, Orsay, France, Dec. 8th, 2016.
 
♣   "Random Walks'' for Harmonic Sums (Slides)
    SFB Statusseminar, Strobl, Austria, Nov. 27th--30th, 2016.
 
♣   Random Walk: A Probabilistic and Geometric Approach to Number Theory (Slides)
    International Conference on Mathematical Characterization, Analysis and Applications of Complex Information, Beijing Institute of Technology, Beijing, China, July 19th--20th, 2016.
 
♣   On Binomial Identities in Arbitrary Bases (Slides)
    Beijing Key Laboratory on Mathematical Characterization, Analysis and Applications of Complex Information, Beijing Institute of Technology, Beijing, China, July 26th, 2016.
 
♣   The Method of Brackets (Slides)
    The 5th International Congress on Mathematical Software (ICMS), The Zuse Institute Berlin (ZIB), Berlin, Germany, July 11th--14th, 2016.
 
♣   On Bernoulli Symbol \mathcal{B} and Its Applications (Slides)
    Center for Combinatorics, Nankai University, Tianjin, China, July 8th, 2015.
 
♣   Recursion Rules for the Hypergeometric Zeta Functions (Slides)
    Midwest Number Theory Conference for Graduate Students and Recent PhDs, X, University of Illinois at Urbana-Champaign, Urbana, IL, U. S. A., June 3rd--4th, 2014.
 
♣   Implementation of an Algorithm on Converting Sums into Nested Sums (Slides)
    Laboratoire des Signaux et Systemes, Université Paris Sud XI, Orsay, France, Jan. 9th, 2014.