bio | website | bu.edu/sed/about-us/faculty/… |
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location | Boston University, SED | |
age | 29 | |
visits | member for | 3 years, 1 month |
seen | 8 hours ago | |
stats | profile views | 2,959 |
If you would like to contact me directly, please do!
Electronic correspondence: bdickman[at]bu。edu
Postdoctoral Fellow, Mathematics Education, Boston University SED.
Ph.D., Mathematics Education, Columbia University. 2014. NSFGRFP.
Dissertation: Conceptions of Creativity in Elementary School Mathematical Problem Posing.
(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.
(Relevant MSE post here.)
Have you solved any of my puzzles? If so, send me an email!
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) |
Apr 2 |
revised |
Elementary examples of the Weil conjectures
Finally fixing a couple of TeX typos that have been irking me! |
Mar 28 |
comment |
Texts about Dwork's work
Certainly check out Koblitz's book (if you haven't already) entitled, "p-adic Numbers, p-adic Analysis, and Zeta-Functions" as mentioned here... |
Mar 6 |
revised |
Exact reference for Liouville theorem
edited tags |
Mar 6 |
answered | Exact reference for Liouville theorem |
Jan 25 |
comment |
How to calculate the infinite sum of this double series?
See also: math.stackexchange.com/q/1117583/37122 |
Jan 16 |
comment |
Extending an assignment property from Q to R (or C)
(See also: A Problem That Bears Repeating: 11002 in the AMM.) |
Jan 14 |
comment |
What mathematical models can analyze and optimize systems based on gossip?
The first thing that comes to mind for me is a note about a secondary school lesson plan; on the off chance that it is of any use, here is a link to the page 8 excerpt from this lesson in COMAP's Mathematical Modeling Handbook. |
Jan 10 |
awarded | Pundit |
Jan 9 |
comment |
Cube-free infinite binary words
@JoelReyesNoche Ah, I see now that $x$ can be one or more letters; my erroneous count is for the restriction $|x| = 1$. Thanks for the clarification. |
Jan 9 |
comment |
Cube-free infinite binary words
@JoelReyesNoche and OP: w.r.t. (3) - Isn't the number of finite binary cfw of length $n$ just twice the $(n+1)$st Fibonacci number? |
Jan 3 |
comment |
Are there any serious investigations of whether “mathematicians do their best work when they're young”?
Simonton's 1997 article is available here. |
Jan 1 |
comment |
Who first introduced the functional definition of symmetry?
I had wondered specifically if there was anything of value in foot-note 3 of p. 163: The source is in German (Wulff, 1897) but I could not track down that particular reference... You are right that it (and other sources) are mentioned in Hilton (1903); I had not searched through Hilton for that reference, though it makes sense reading Rogers' acknowledgement at the end of the paper. (In any event: your answer here is very nice!) |
Dec 31 |
comment |
Who first introduced the functional definition of symmetry?
You might check: Rogers, A. F. (1926). A mathematical study of crystal symmetry. Proceedings of the American Academy of Arts and Sciences (pp. 161-203). American Academy of Arts and Sciences. (In particular, "Symmetry Operations" beginning on p. 162 and the references contained therein.) |
Dec 29 |
awarded | Popular Question |
Dec 28 |
comment |
Mod sequences that seem to become constant; and the number 316
@PaceNielsen I think this is the same as your latter observation, just slightly restated: Even in JO'R's original problem, assuming randomness, the chance of getting a number to appear for a second time in a row is $1/n$ for step $n$ (really beginning at step two, so your product counter would start at $n=2$). As István observes, a number appearing twice in a row is sufficient for the sequence to become constant. So the probability of no repeats is $\prod_{n=2}^{\infty} (1-1/n) \rightarrow 0$. There would need to be a major conspiracy for there never to be any repetition... |