Joseph P. McCollum

I have a PhD in the area of Random Walk Theory and what that means is that I am very knowledgeable in that areas of Group Theory, Probability, and Statistics. I love to teach and I try to make each student see the beauty of the mathematics inside of real world examples. This love of mathematics can be seen in my research. I have used mathematics to form conclusions in Business Law, Economics, Marketing, and Baseball. What I want students to understand is the power of statistics and how it touches all areas of Business and Science.

My Siena Experience

My Teaching Philosophy

My teaching style is to bring the material to the audience in a clear and straightforward manner. I use examples from the real world to clarify the abstract mathematical ideas in the Quantitative Business courses. I like to use a question and answer style of teaching so that I can judge the understanding of the whole classroom and not just a few of the students. My main goal that I strive for is that my class might be difficult but that in the end I was fair to all students.

What I Love About Siena

The class size at Siena is just right. It gives a professor the chance to know each of his/her students. It really helps to connect to each student so that I can create a good learning environment.

My Favorite Courses to Teach

Any Undergraduate Math Course

My Professional Experience

Current Research

Random Walk Theory.
Math Education.
Probability.
Group Theory.

Articles & Book Reviews

• Cluster Analysis and Population Density Theories: An Exploratory Study of Indigenous Female Entrepreneurship
  Journal of Applied Business and Economics, vol. 27
  2025
• Gen Z Digital Media Usage and Trust
  Journal of Applied Business and Economics, vol. 27
  2025
• Student Athletes Navigating Division I Sports in a Small College: Role Conflict in the Small College Context
  Journal for the Study of Sports and Athletes in Education, vol. 19
  2025
• An Exploratory Study of Indigenous Female Entrepreneurship: Cluster Analysis and More
  Academy of Management Annual Meeting, vol. 2024
  2024
• The Impact of Store Brands on Overall Product Category Performance
  Journal of Applied Business and Economics, vol. 25
  2023
• The impact of using a Blended Learning Choice Model method on student performance in higher education during COVID-19
  Journal Of Education For Business, vol. 98
  2023
• A Tale of Success: Embedding Remediation and Curricular Design
  Numeracy, vol. 15
  2022
• Siena College: Course Scheduling for the Business Analytics Department
  Case Research Journal, vol. 41
  2021
• Introducing Advanced Exploratory Data Analysis Tools in an MBA Program
  Global Journal of Business Pedagogy, vol. 3
  2019
• Advanced Directives Containing Pregnancy Exclusions: Are They Constitutional
  North East Journal Of Legal Studies, vol. 34
  2015
• Physician-Assisted Suicide: Moral, Ethical and Legal Considerations
  International Journal of Arts and Sciences, vol. 08
  2015
• An Upper Bound on Random Walks on Dihedral Groups
  Statistics And Probability Letters, vol. 83
  2013
• Consumer Confidence and the Unemployment Rate in New York State: A Panel Study
  New York Economic Review
  2013
• Consumer Confidence and the Labor Market in New York State
  New York State Economics Association, vol. 5
  2012
• Linking Information Literacy, Experiential Learning, and Student Characteristics: Pedagogical Possibilities in Business Education
  Academy of Educational Leadership Journal, vol. 16
  2012
• Hazing on College Campuses: Who is Liable?
  North East Journal Of Legal Studies, vol. 26
  2011
• Random Walks on Dihedral Groups
  Journal of Theoretical Probability, vol. 24
  2011
• Extension of a Random Walk on Finite Abelian Groups
  International Journal of Pure and Applied Mathematics, vol. 54
  2009
• Generating Random Vectors in (Z_p)^d via an Affine Random Process
  Journal of Theoretical Probability, vol. 21
  2008

Awards & Distinctions

• School of Business Teaching Award
  Category: Teaching
  School of Business, 2024
• School of Business Service Award
  Category: Service-University
  School of Business, 2021
• Invited Graduation Speech
  Category: Service-Professional
  Mathematics Department at SUNY Albany, 2015
• Best Paper Award, QBUS Track (Advisor)
  Category: Teaching
  SCSCB, 2014
• 
  
  Category: Teaching
  SCSCB, 2010
• Star Teacher Award for working with students with disabilities
  Category: Teaching
  Elms College, 2008
• Excellence in Teaching
  Category: Teaching
  University at Albany, SUNY, 2002
• Excellence in Teaching
  Category: Teaching
  University at Albany, SUNY, 1999

Presentations

• A Change Point Analysis of Female Youth Labor Force Participation During COVID19
  October, 2024
  National Association of Business, Economics and Technology Annual Conference, State College, Pennsylvania
• An Exploratory Study of Indigenous Female Entrepreneurship: Cluster Analysis and More
  August, 2024
  Academy of Management Annual Meeting, Chicago, Illinois
• Youth Employment in the United States During Covid-19
  May, 2023
  Eastern Academy of Management Annual Meeting, Philadelphia, Pennsylvania
• Academics vs Athletics: Student Athletes' Dichotomous Performance at a Small Division I Liberal Arts College
  March, 2021
  Global Conference on Business and Finance, Virtual, Virtual
• Analysis of the Efficacy of Out of Competition Drug Testing in Track and Field
  2020
  Business Research Consortium, Lewiston, New York
• An Exploratory Data Analysis of Railroad Safety: A Pedagogical Approach
  November, 2019
  Decision Sciences Institute, New Orleans, Louisiana
• Using R Programming to Enhance Mathematical and Statistical Learning.
  January, 2018
  Joint Mathematics Meeting, Baltimore, Maryland
• Utilizing World Bank Data to Enrich the Learning of Students in all Levels of Statistics
  January, 2017
  Joint Mathematical Meetings, Atlanta, Georgia
• The Potential for OECD Members to be Global Leaders in Environmental Sustainability.
  October, 2015
  New York State Economics Association Annual Conference, Loundonville, New York
• The Value of Human Life
  June, 2015
  International Conference for Academic Disciplines, Florence, Italy
• Estate Planning and Advance Directives: The Duty to Inform Clients of the Pregnancy Exclusion
  April, 2014
  North East Academy of Legal Studies in Business, Lenox, Massachusetts
• Seasonality and Autocorrelation: The typical problem children in business statistics
  January, 2013
  Joint Mathematical Meetings, San Diego, California
• Thoughts and Experiences of a Faculty Member in the Tutoring Center
  January, 2013
  Joint Mathematical Meetings, San Diego, California
• Basic Statistics: From Pedagogy to Research
  2013
  NES/MAA meeting, Danbury, Connecticut
• Consumer Confidence and the Labor Market in New York State
  October, 2012
  New York State Economics Association Annual Conference, Farmingdale, New York
• Yes it is true! A deck of 52 cards can be randomized with 7 shuffles
  April, 2012
  Hudson River Undergraduate Mathematics Conference, Springfield, Massachusetts
• Home Run Derby Curse, Fact or Fiction
  2011
  Hudson River Undergraduate Mathematics Conference, Saratoga, New York