3,254 reputation
11949
bio website bu.edu/sed/about-us/faculty/…
location Boston University, SED
age 29
visits member for 3 years, 4 months
seen yesterday

If you would like to contact me directly, please do!

Electronic correspondence: bdickman[at]bu。edu

Profile for Benjamin Dickman on Stack Exchange: MESE, MSE, and MO

Postdoctoral Fellow, Mathematics Education, Boston University SED. 2014-2016.

Ph.D., Mathematics Education, Columbia University. 2014. NSFGRFP.

Dissertation: Conceptions of Creativity in Elementary School Mathematical Problem Posing. (Advisor: HP Ginsburg.)

(Relevant MESE post here.)

M.Phil., Mathematics Education, Columbia University. 2014.

Fulbright Grant, Mathematics/Mathematics Education, Nanjing Normal University (南京师范大学). 2008-2009.

Research Topic: High School Mathematics Teacher Training in China.

B.A., Mathematics, Amherst College. 2008. Honors Program.

Undergraduate Thesis: On a Theorem of Dwork. (Expository thesis on the rationality part of the Weil Conjectures; advisor: RL Benedetto.)

(Relevant MSE post here.)


Have you solved any of my puzzles? If so, send me an email!


Aug
23
comment Why does $d^n \exp(-x-x^{-1})/(dx)^n$ only have $n$ positive real zeroes?
RE: (3) The $\phi_n$ appear - I don't think very helpfully, but do not read German - in an old paper of Raabe here. See II on page 95.
Jul
27
comment Minimal number of intersections in a convex $n$-gon?
Maybe check this paper (I do not have access, but the abstract looks somewhat promising).
Jul
24
revised Integers in a triangle, and differences
The final link was broken; replaced it with a working one.
Jul
15
reviewed Approve about relative homotopy group
Jun
18
comment Probability that a stick randomly broken in five places can form a tetrahedron
@GerryMyerson Thanks for the link. And a "(Dickman, 2013)" attribution around 3:53! Very nice.
Jun
18
revised Probability that a stick randomly broken in five places can form a tetrahedron
Linked to May 2015 IGL project report
Jun
13
reviewed Approve Maximal minimum for a sum of two (or more) cosines
Jun
12
comment A new generalisation of Fermat's little theorem?
Does Example 2.2(3) here suffice?
Jun
6
awarded  Enlightened
Jun
6
awarded  Nice Answer
Jun
6
comment Anti-Mandelbrot set
@AlexandreEremenko You're welcome! I used antiholomorphic and Mandelbrot to find this particular paper; 'Mandelbar' is a pretty good word...
Jun
6
answered Anti-Mandelbrot set
Jun
1
comment Nice applications of Liouville's theorem
How about Section E here? (Citation: Joyce, W. B. (1974). Classical-particle description of photons and phonons. Physical Review D, 9 (12), 3234.)
May
30
comment Value of prolate speroidal wave function at 0
(Commenting from mobile: Have you checked the classic papers of Henry Pollak and Henry Landau?)
May
25
comment Idempotent ideal in ring of continuous functions
Not an answer - truly a comment - but perhaps this can add a shred of context: It is easy to find all the idempotent elements in the ring of continuous functions: the two constant functions, $0$ and $1$ (proof: intermediate value theorem). In a Noetherian ring, every idempotent ideal is generated by an idempotent element; unfortunately, this fact is not of direct use here: the ring of continuous functions is not Noetherian. Hence the question at hand may arise.
May
2
comment Guess that group via product queries
Loosely related? is MO 107298: Realizable Order Sequences for Finite Groups
Apr
19
comment Simultaneously using the real and 2adic norms
Not an answer to your question, but the "lynch pin" you identify leads me to recall the very end of Koblitz's book p-adic Numbers, p-adic Analysis, and Zeta-Functions in which he finishes his write-up of Dwork's Theorem (rationality of the Weil Conjectures) as follows.
Apr
17
awarded  Yearling
Apr
11
comment Do rational numbers admit a categorification which respects the following “duality”?
Just to link back: This question also connects, to some extent, with the answer I put up to MESE 7837.
Apr
4
revised The diameter of a certain graph on the positive integers
Corrected 69+52 sum (as suggested by joro in a comment)