Lan Nguyen

• 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.
• (2025) Simultaneous Orderings and Combinatorial Interpretations of Generalized Factorials and Binomial Coefficients. Advances in Applied Mathematics, 25 pp.
• The Complete Proof of the Collatz Conjecture. Submitted, 74 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 104 - College Math with Applications
MATH 113 - Trigonometry
MATH 114 - College Algebra II/Trigonmetry
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: