School:
School of Arts & Sciences
Department:
Mathematics, Computer Science, & Physics
Office Location:
Jeffries Hall 139
Office Hours:
Educational Background
Ph.D. in Mathematics (2013) University of Wyoming, Laramie, WY
- Dissertation: Sparse Moment Problem
Professional Experience
Associate Professor of Mathematics (2024 – present),
Assistant Professor of Mathematics (2020 – 2024)
- Georgian Court University, Lakewood, NJ
- Montana State University Billings, Billings, MT
- Python Programming, Database Management with SQL, Mathematical Analysis, Probability & Statistics, Modern Geometry, Mathematical Computing with Mathematica, Methods of Proofs, Differential Equations, Discrete Mathematics, Multivariate Calculus, Calculus II, Calculus I, Finite Mathematics, College Trigonometry, College Algebra, Contemporary Mathematics, Intermediate Statistical Concepts, Intro to Statistics, Intro to Statistical Concepts
Research / Creativity Interest Area
Dr. Aryal’s primary research interest is sparse moment problem, which deals with missing moment data. It has very deep and broad applications since data obtained from physical experiments and phenomena are often corrupt or incomplete. He also enjoy dabbling in areas of elementary number theory, applied analysis, control systems, finance mathematics and mathematics education. He is enthusiastic about getting undergraduate students involved in his research projects.
Publications:
Research projects with students:
Publications:
- An Exploratory Study: Indicators of NCLEX-RN Success
- (Co-authors: Jo Ann F. Cummings, Deborah Kennard, Judith Egan, Cindy McVey) Teaching and Learning in Nursing, ISSN 1557-3087 (2024)
- Two New Properties of the Fibonacci Sequence
- (Co-authors: Sarita Nemani, Kaitlyn Bragen, Alexa Curcio) Applied Mathematics E-Notes, 22:452-456 (2022)
- Stability of polynomials under uniform perturbation
- (Co-author: Sarita Nemani) Systems & Control Letters, 160:105132 (2022)
- Sparse Hamburger moment multisequences
- (Co-authors: Hayoung Choi, Farhad Jafari) In Problems and recent methods in operator theory, volume 687 of Contem. Math., pages 21-30. Amer. Math. Soc., Providence, RI, 2017
- Hamburger moment sequences and their moment subsequences
- (Co-authors: Hayoung Choi, Farhad Jafari) Linear and Multilinear Algebra, 65(9):1838-1851, 2016
- Market Volatility and market indexed exchange traded funds
- (Co-author: Rakesh Sah) Review of Business Research, 14:163-170, 10 2014
Research projects with students:
- Circulant Matrices
- Student: Victoria Vonfrolio, Co-mentor: Sarita Nemani
- Funded by New Jersey Space Grant Consortium, AY 2021-22
- A Property of Fibonacci Sequence Involving Determinants
- Student: Kaitlyn Bragen, Co-mentor: Sarita Nemani
- Funded by New Jersey Space Grant Consortium, AY 2020-21
- Presented at Garden State Undergraduate Mathematics Conference, April 2021 and Academic Excellence Celebration, April 2021
- A Divisibility Property for the Fibonacci Sequence
- Student: Alexa Curcio, Co-mentor: Sarita Nemani
- Funded by New Jersey Space Grant Consortium, AY 2020-21
- Presented at Garden State Undergraduate Mathematics Conference, April 2021 and Academic Excellence Celebration, April 2021
Additional Information
Outside mathematics, Dr. Aryal enjoys hiking, swimming, and travelling around the world visiting different cultures. He grew up in Nepal before coming to U.S. for college.