Dillon Hanson
Dr. Dillon Hanson
Assistant Professor of Mathematics
- Email address dhanson3@ju.edu
- Telephone number 904-256-7724
Biography
I fell in love with teaching in a ballroom dance studio in Madison, WI. Explaining
a new waltz pattern is no different than teaching integration techniques: 1) Identify
the shared vocabulary. 2) Outline the technique at whatever level the student can
handle. 3) Put it into context, contrasting it with other patterns/integration techniques
that the student knows.
In addition to teaching, I continue to explore the mathematical frontier. My research
is in algebra and combinatorics. Algebraists identify structure and patterns; for
example, every non-vertical line in the xy-plane is the solution space to the equation
y=mx+b for some real numbers m and b. Combinatorists partition a set of objects and
enumerate them; for example, there are 2^n total subsets of {1,2,…n}, and nCk (read
as n choose k) of them have size k for k=0,1,2,…n. Yes, this means that nC0 + nC1
+ nC2 + … + nCn = 2^n.
To my students
JU students are encouraged to attend office hours or schedule a meeting. Stopping by unexpectedly may interrupt planning lessons, grading, writing new theorems,
preparing papers for publication, writing talks for conferences, or meetings with
other professors.
Education
- Ph.D. Mathematics, University of North Texas, 2023
- B.S. Mathematics and Chemical Engineering, University of Notre Dame, 2014
Publications
- Primeness of generalized parking functions, with Sam Armon, Joanne Beckford, Naomi Krawzik, Olya Mandelshtam, Lucy Martinez, Catherine Yan. The Electronic Journal of Combinatorics, Volume 32, Issue 4, 2025, P4.48.
- Invariant differential derivations for reflection groups in positive characteristic, with Anne Shepler. Advances in Applied Mathematics, Volume 156, 2024, 102671.
Mathematics
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Contact
Mathematics
Office location
School of Sciences & Mathematics
Linda Berry Stein College of Arts & Sciences
Jacksonville University
Merritt Penticoff Science Building
2800 University Blvd N
Jacksonville, FL 32211
Telephone number
(904) 256-7100
Email address
