Lan Nguyen

Selected Publications

2025: Simultaneous Orderings and Combinatorial Interpretations of Generalized Factorials and Binomial Coefficients, Advances in Applied Mathematics (25 pp.)

: On the Open Problem of M. Bhargava concerning the Existence of Generalized p-Adic Gamma Functions of Morita, Submitted (30 pp.)

: On the Open Problems of M. Bhargava and D.S. Thakur concerning the Existence of Generalized Gamma Functions, Submitted (35 pp.)

: The Collatz Conjecture and Its Complete Proof, Submitted (68 pp.)

: On the Existence of Bi-Lipschitz Equivalences and Quasi-Isometries of Arithmetic Metric Spaces with General Infinite Generating Sets of Integers and the associated Local Global Problems, Submitted (80 pp.)

: The Existence of Bi-Lipschitz Equivalences and Quasi-Isometries of Arithmetic Metric Spaces with Integer Generating Sets and the Local Global Principle, Submitted (45 pp.)

: The Local-Global Principle and the Existence of Bi-Lipschitz Equivalences and Quasi-Isometries of Arithmetic Metric Spaces with Integer Generating Sets of Opposite Parity, Submitted (50 pp.)

: On the Existence of Bi-Lipschitz Equivalences and Quasi-Isometries of Arithmetic Metric Spaces for Consecutive Integer Bases, Submitted (63 pp.)

: On the Local Global Compatibility for Bi-Lipschitz Maps and the Problems of Richard E. Schwartz concerning Quasi-Isometries and Bi-Lipschitz Equivalences of Arithmetic Metric Spaces, Submitted (92 pp.)

Departmental Service

2012: Chairperson - Department of Mathematics Assessment Liason

MATH 113 - Trigonometry
MATH 114 - College Algebra II/Trigonmetry
MATH 221 - Calculus & Analytic Geometry I
MATH 221 - Calculus/Analytic Geometry I
MATH 367 - Elementary Number Theory
MATH 423 - Complex Analysis
MATH 441 - Abstract Algebra
MATH 495 - Senior Seminar
MATH 499 - Independent Study: