Identities Involving Central (q-)Binomial Coefficients via (q-)Hypergeometric Series (Slides)
Invited Number Theory Seminar Talk, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Mar. 18, 2026.
Hankel Determinants of Sequences Related to Bernoulli Polynomials, Euler Polynomials, and q-series (Slides)
Invited Number Theory Seminar Talk, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Feb. 11, 2026.
Hankel Determinants and Big q-Jacobi Polynomials for q-Euler Numbers (Slides)
The Third Joint SIAM/CAIMS Annual Meetings (AN25)
Montréal, QC, Canada, July 28--Aug. 1, 2025.
Examples of Computer Proofs: From Elementary to Recent Ones (Slides)
Invited Honours Seminar Talk, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Jan. 15, 2025.
Multi-headed lattices and Green functions (Slides)
Invited Number Theory 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 Number Theory Seminar Talk, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Jan. 31, 2024.
Hankel Determinants on Bernoulli polynomials and q-analogues (Slides)
Discrete Math Seminar, Zu Chongzhi Center, Duke Kunshan University
Kunshan, Suzhou, Jiangsu Province, P. R. China, Sept. 1, 2023.
Random Walk Models for Identities Involving Bernoulli and Euler Polynomials of Higher-orders (Slides)
Invited Number Theory Seminar Talk, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Mar. 6, 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 13, 2022.
Introduction on Continued Fractions, II (Slides)
Discrete Math Seminar, Zu Chongzhi Center, Duke Kunshan University
Kunshan, Suzhou, Jiangsu Province, P. R. China, Mar. 25, 2022.
Introduction on Continued Fractions, I (Slides)
Discrete Math Seminar, Zu Chongzhi Center, Duke Kunshan University
Kunshan, Suzhou, Jiangsu Province, P. R. China, Mar. 11, 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, School of Mathematics and Statistics, 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, School of Mathematics and Statistics, 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, Zu Chongzhi Center, Duke Kunshan University
Kunshan, Suzhou, Jiangsu Province, P. R. China, Nov. 14–15, 2020.
Three Examples on Computer Proofs (Slides)
Zu Chongzhi Colloquium Series, Zu Chongzhi Center, Duke Kunshan University
Kunshan, Suzhou, Jiangsu Province, P. R. China, Nov. 6, 2020.
Introduction to Four Symbolic Integration Methods: Two Examples (Slides)
Number Theory Seminar, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Sept. 23, 2019.
On b-ary Binomial Coefficients (Slides)
Number Theory Seminar, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Sept. 16, 2019.
Orthogonal Polynomials for Higher-order Euler Polynomials (Slides)
The 15th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA)
Hagenberg im Mühlkreis, 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)
American Mathematical Society Spring Southeastern Sectional Meeting, Auburn University
Auburn, AL, U.S.A. Mar. 15--17, 2019.
Random Walk & Identities (Slides)
Number Theory Seminar, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Feb. 25, 2019.
Matrix Representation for Higher-Order Euler Polynomials (Slides)
2019 Joint Mathematics Meetings
Baltimore, MD, U.S.A. Jan. 16–19, 2019.
Orthogonal Polynomials for Bernoulli and Euler Polynomials (Slides)
Number Theory Seminar, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Jan. 7, 2019.
Three Examples of Computer Proofs of Combinatorial Results (Slides)
Honours Seminar, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Oct. 17, 2018.
Matrix Representation for Multiplicative Nested Sums (Slides)
Number Theory Seminar, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Sept. 21, 2018.
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, Dalhousie University
Halifax, NS, Canada, July 1–8, 2018.
Matrix Representations for Bernoulli and Euler Polynomials (Slides)
2018 Canadian Mathematical Society Summer Meeting, University of New Brunswick
Fredericton, NB, Canada, June 1--4, 2018.
Two Sequences Related to Bernoulli and Euler Numbers (Slides)
Number Theory Seminar, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, May 30, 2018.
Hidden Walks (Slides)
Number Theory Seminar, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Feb. 26, 2018.
Introduction to Zonal Polynomials (Slides)
Number Theory Seminar, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Jan. 22, 2018.
The Probabilistic and Combinatorial Interpretations of the Bernoulli Symbol (Slides)
2017 Canadian Mathematical Society Winter Meeting, University of Waterloo
Waterloo, ON, Canada, Dec. 8--11, 2017.
Bernoulli Symbol \mathcal{B}: from Umbral Calculus to Random Variable and Combinatorics (Slides)
Number Theory Seminar, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Oct. 13, 2017.
Visualization of Bernoulli Numbers (Slides)
Colloquium, Department of Mathematics and Statistics, Dalhousie University
Halifax, NS, Canada, Oct. 12, 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 College of Technology
Jerusalem, Israel, July 17--21, 2017.
On Bernoulli Symbol (Slides)
Klagenfurt-Linz-Wien Workshop
Reifnitz, Austria, May 3--6, 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. 8, 2016.
"Random Walks'' for Harmonic Sums (Slides)
SFB Statusseminar
Strobl, Austria, Nov. 27--30, 2016.
A Hot Pot (Slides)
Algorithmic Combinatorics Seminar, Research Institute for Symbolic Computations, Johannes Kepler University
Hagenberg im Mühlkreis, Austria, Oct. 5, 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, P. R. China, July 26, 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, P. R. China, July 19--20, 2016.
The Method of Brackets (Slides)
The 5th International Congress on Mathematical Software (ICMS), The Zuse Institute Berlin
Berlin, Germany, July 11--14, 2016.
The Method of Brackets (Slides)
Algorithmic Combinatorics Seminar, Research Institute for Symbolic Computations, Johannes Kepler University
Hagenberg im Mühlkreis, Austria, June 22, 2016.
Binomial Identities in Arbitrary Bases (Slides)
Graduate Students Colloquium, Department of Mathematics, Tulane University
New Orleans, LA, U. S. A., Mar. 8, 2016.
On Bernoulli Symbol \mathcal{B} and Its Applications (Slides)
Invited Seminar Talk, Center for Combinatorics, Nankai University
Tianjin, China, July 8, 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 3--4, 2014.
Implementation of an Algorithm on Converting Sums into Nested Sums (Slides)
Laboratoire des Signaux et Systemes, Université Paris Sud XI
Orsay, France, Jan. 9, 2014.