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Ben Allen

@evodynamics.bsky.social
1.9K followers 1.2K following 2.1K posts

Mathematical biologist studying evolution. Professor of Mathematics at Emmanuel College, MA. Queer, nonbinary (they/them). For social and ecological justice. Jewish as in Free Palestine. www.emmanuel.edu/emmanuel-mathemati…

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Ben Allen @evodynamics.bsky.social · 08/10/2026
Mathematician: Who at OpenAI can I contact about you using my results without credit? OpenAI: No one
Text from Math Overflow post:

On October 6, 2026, OpenAl released a large collection of mathematical manuscripts on GitHub.

I noticed that some of these
manuscripts, particularly Families 335 and 336, generalize two results from my earlier paper, posted on arxiv on September 2, 2026, but do not mention it.
I contacted OpenAl Support, but they informed me that they could not forward my message to the responsible researchers or provide a correspondence address.

Is there an official or established way to contact the authors or researchers responsible for these manuscripts to report corrections, missing references, or other scholarly concerns?
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Ben Allen @evodynamics.bsky.social · 03/10/2026
This is quite the polycule!
Diagram with a bunch of arrows pointing to"relationship"
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Ben Allen @evodynamics.bsky.social · 28/09/2026
Which equilibrium is reached depends on the initial state, and also on factors such as rates of encounter, costs of mating, and sex ratio. This figure shows that low encounter rates favor indiscriminate mating, in order to avoid missing any potential opportunity for reproduction.
Panel of three stream plots showing that, when the encounter rate (lambda) is small (meaning organisms rarely encounter each other), selection leads to indiscriminate mating
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Ben Allen @evodynamics.bsky.social · 28/09/2026
We find there are generally two equilibria: One with indistinguishable sexes and indiscriminate mating, another with perfectly identifiable sexes and exclusively different-sex mating.
Stream plot showing adaptive dynamics of signal quality, q, and discrimination strength, d. There are two equilibria, one with d=q=0 where sexes are indistinguishable and mating is indiscriminate, the other with d=q=1 where sexes are perfectly distinguishable and mating is only between different sexes.
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Ben Allen @evodynamics.bsky.social · 28/09/2026
About to head back out into the Nor'easter for groceries!
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Ben Allen @evodynamics.bsky.social · 20/09/2026
Bonus: My kid spent his study hall yesterday working out the expression for the product of arbitrary quaternions
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Ben Allen @evodynamics.bsky.social · 20/09/2026
Hey look my hair is doing a thing
Selfie in JP Licks T shirt near window. My hair has a nice flow to it.
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Ben Allen @evodynamics.bsky.social · 13/09/2026
$24 million in tokens were used to produce this selfie
Me on a pillow smiling, black t shirt
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Ben Allen @evodynamics.bsky.social · 13/09/2026
Me too
Fundraising text from James Talarico, to which I respond "Will he stop vowing to take away rights from trans people?"
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Ben Allen @evodynamics.bsky.social · 06/09/2026
My semester started last week, I am neither young nor full of hope. But it's nice out!
Selfie on porch in floral hoodie, wind chime and trees in background
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Ben Allen @evodynamics.bsky.social · 01/09/2026
MA friends: There are races that really matter today! Do the thing! Elect: @edmarkey.bsky.social @patrickroath.bsky.social @persisyu.bsky.social
Me with "I voted" sticker in front of Patrick Roath signs
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Ben Allen @evodynamics.bsky.social · 30/08/2026
Took a family trip to Harvard's science library last week for some vacation reading
Me and kids outside on Harvard's campus. He's holding Groups and Symmetry by Armstrong and I'm holding Stochastic Differential Equations and Diffusion Processes by Ikeda and Watanabe
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Ben Allen @evodynamics.bsky.social · 24/08/2026
His column includes such bangers as "Why Trump is surprisingly good at handling the Middle East"
Boston Globe column:

IDEAS | RICHARD HANANIA
Why Trump is surprisingly good at handling the Middle East
The president's achievements in the region are due to traits that are considered major character flaws in other contexts.
Richard Hanania • Updated November 18th, 2025, 8:59 am
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Ben Allen @evodynamics.bsky.social · 23/08/2026
Made it back from family trip in the rain to obtain DM Guide and Monster Manual for the kid
Me in green floral jacket, in green room with floral curtains in background
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Ben Allen @evodynamics.bsky.social · 07/08/2026
"Nowhere in our post do we claim that Markey knew that Epstein was involved in Wade's case" LOL
PolitiFact asked Moulton's campaign evidence showing Markey knew Epstein was involved in Wade's case.

"Nowhere in our post do we claim that Markey knew that Epstein was involved in Wade's case," Moulton spokesperson Taylor Hebbe responded in an email.
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Ben Allen @evodynamics.bsky.social · 29/07/2026
That's Josh Hawley, who bravely cheered on the Jan 6 mob before running away from them
Pic from Jan 6 hearing, with two screens showing Sen. Hawley raising a fist to the Jan 6 mob and fleeing them
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Ben Allen @evodynamics.bsky.social · 15/07/2026
The poster itself is called "Dissent", made by the amazing @lioraostroff.bsky.social . Support her work! lioraostroff.com
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Ben Allen @evodynamics.bsky.social · 12/07/2026
Coming back from a bike errand. Maybe will get to some math later.
Me outside in front of blue house
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Ben Allen @evodynamics.bsky.social · 10/07/2026
There’s a whole field of cultural evolution that studies quotations like this. This is one of the founding texts
Cultural Transmission and Evolution::
A QUANTITATIVE APPROACHI
L. L. CAVALLI-SFORZA
M. W. FELDMAN
MONOGRAPHS IN POPULATION BIOLOGY. 16:
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Ben Allen @evodynamics.bsky.social · 05/07/2026
Took a selfie while jogging to see what would happen
Selfie in purple floral shirt, on wooded jogging path, hair flouncing chaotically
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Ben Allen @evodynamics.bsky.social · 01/07/2026
Chris Matthews / Tucker Carlson Hardball meme

Text:
No exotic structures are
possible on the 1-, 2-, 3-, 5-, 6-,
12-, 56- or 61-sphere. Some higher-dimensional spheres have only two possible
differentiable structures, others have thousands. Whether exotic
4-spheres exist, and if so how many, is an unsolved problem.

HARDBALL
LIVE
5:14 ET
S MSNBC
imgflip.com
ROBA
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Ben Allen @evodynamics.bsky.social · 30/06/2026
The US government is literally spending billions of taxpayer dollars to *not* build clean energy. They are killing our future for no reason other than caring about people is "woke" www.bostonglobe.com/2026/06/29/n...
Feds to buy back North Carolina offshore wind lease from Duke
Energy - 4:23 p.m.

By the Associated Press

Duke Energy is the latest utility to bow to pressure from the Trump administration to cancel offshore wind leases in return for money.
The $129 million deal by the Interior Department brings the total amount spent on these agreements to about $2.7 billion. The Trump administration has been buying back the leases as it seeks to discourage the expansion of wind energy in favor of more traditional energy sources such as natural gas, coal and nuclear
power.
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Ben Allen @evodynamics.bsky.social · 28/06/2026
I can’t believe it's been 250 years of #MathCoffeeSelfies. May the next 250 be even better!
Selfie outside in purple floral shirt
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Ben Allen @evodynamics.bsky.social · 25/06/2026
They sure showed him!
POLITICO

Senate Republicans say it's time to give Trump a reality check
A Wednesday lunch could bring weeks of interbranch tensions to a head.

Sen. John Cornyn (R-Texas) said Monday that passage of difficult bills "doesn't just magically occur, no matter how much you wish it would happen." | 
Francis Chung/POLITICO
By JORDAIN CARNEY
06/22/2026 08:35 PM EDTPresident Trump walks alongside Senate Majority Leader John Thune before a closed-door meeting with Senate Republicans at the Capitol in Washington, on June 24. 
KENNY HOLSTON
Senate Republicans reject war powers resolution after Trump berates them at Capitol meeting
Senate Republicans who were berated by President Trump over opposition to his war in Iran held a late-night vote Wednesday to try to appease him, rejecting a war powers resolution a day after a similar measure passed
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Ben Allen @evodynamics.bsky.social · 21/06/2026
This isn't bad lighting, I just look like this
Blurry selfie in front of window with 1369 Coffee House mug
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Ben Allen @evodynamics.bsky.social · 21/06/2026
dril tweet: 

wint @dril

the wise man bowed his head solemnly and spoke: "theres actually zero difference between good & bad things. you imbecile. you fucking moron"
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Ben Allen @evodynamics.bsky.social · 09/06/2026
Guess who one of the authors is
FLOOR/CEILING RECURRENCES
Floors and ceilings add an interesting new dimension to the study of recurrence relations. Let's look first at the recurrence
Ko = 1;
Kn+1=1 + min(2K[n/2], 3K[n/3]), for n≥ 0.

Thus, for example, K1 is 1 + min (2Ko, 3Ko) = 3; the sequence begins 1, 3, 3,
4, 7, 7, 7, 9, 9, 10, 13, .... One of the authors of this book has modestly decided to call these Knuth numbers.
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Ben Allen @evodynamics.bsky.social · 08/06/2026
Nonpartisan means partisan? What a country!
Dr Nick from the Simpsons:

"INFLAMMABLE MEANS FLAMMABLE?
WHAT A COUNTRY!"
010
Ben Allen @evodynamics.bsky.social · 31/05/2026
Dang, this is a lot of weeds
Me in front of a lot of weeds (in my garden plot)
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Ben Allen @evodynamics.bsky.social · 31/05/2026
Lol
How many z's are in Slavoj Zizek

GPT-5 mini

"Slavoj Zižek" has two Z's (one in the first name "Slavoj" and one in the surname "Žižek").
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Ben Allen @evodynamics.bsky.social · 22/05/2026
Aha, it's in Knuth!
Page from "Concrete Mathematics" by Grahm, Knuth, Patashnik showing the above identity holds
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Ben Allen @evodynamics.bsky.social · 21/05/2026
Mansi, it's May
30 Rock meme: 

What a week, huh?
Lemon, it's Wednesday.
020
Ben Allen @evodynamics.bsky.social · 19/05/2026
My partner @dirtpluswater.bsky.social found this gem of a Boston news pairing
Screenshot of Boston news:

FOOD NEWS
48-ounce buckets of Dunkin' coffee already sold out at New England stores

LOCAL NEWS
'We're seeing pretty much what happened in Germany in the '40s, so can't just sit by and let that happen"
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Ben Allen @evodynamics.bsky.social · 17/05/2026
Found some mathematicians* to hang out with *geese
Selfie in front of bridge over river, with two geese visible
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Ben Allen @evodynamics.bsky.social · 16/05/2026
I am here for all your dating advice needs (if you are a marine invertebrate) From this week's Evolutionary Game Theory workshop at @nitmb.bsky.social
Me presenting slide that says "To mate or not to mate?" with a flowchart describing a mathematical model
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Ben Allen @evodynamics.bsky.social · 10/05/2026
Headed to an Evolutionary Game Theory workshop at @nitmb.bsky.social Chicago! Airplane orange juice pictured
Me on a plane with earbuds, holding a plastic cup
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Ben Allen @evodynamics.bsky.social · 03/05/2026
Proof that I sometimes do math (even on Sundays!)
Selfie in purple plaid shirt holding bourbon with some math
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Ben Allen @evodynamics.bsky.social · 26/04/2026
Late afternoon Vietnamese iced coffee, while I look over potential book contracts (!)
Selfie holding jam jar with coffee
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Ben Allen @evodynamics.bsky.social · 25/04/2026
Magic The Gathering card:

Contradict
Instant
Counter target spell.
Draw a card.
Those who question Ojutai may not like the answers they recerve.
49/264 
TK • EN •STEVE PRESCOT
™M & O 2015 Wizards of the Coast
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Ben Allen @evodynamics.bsky.social · 22/04/2026
When you try to unsubscribe and your superhero name is revealed to you
Unsubscribe form:

We rely on grassroots supporters like you taking action to power our movement, and email is a key way we communicate with you about our actions. If you would like to receive fewer emails, all you have to do is go here and enter your email address.

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Not Benjamin Algebra? Please don't use this form!
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Ben Allen @evodynamics.bsky.social · 19/04/2026
Presented without comment
Selfie with my child holding O-slapped pretzels over my eyes mmk
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Ben Allen @evodynamics.bsky.social · 13/04/2026
Who's this guy
Detail from Trump's posted image showing AI-generated nonsense text on hat
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Ben Allen @evodynamics.bsky.social · 12/04/2026
My kid is not drinking coffee. He is drinking maple-flavored kettle corn from a coffee mug
I'm smiling in a green scarf, kid is drinking popcorn from a mug
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Ben Allen @evodynamics.bsky.social · 08/04/2026
Aaand there it is
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Ben Allen @evodynamics.bsky.social · 08/04/2026
Just "hangin around" in order to make sure that everything goes well
Jack Nicholson in The Shining peering creepily through destroyed wood
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Ben Allen @evodynamics.bsky.social · 07/04/2026
Tomorrow 6pm at Park Street, Boston
EMERGENCY PROTEST
STOP THE US-ISRAELI
WAR ON IRAN!

WED. APRIL 8|6PM
BOSTON | PARK STREET STATION
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Ben Allen @evodynamics.bsky.social · 05/04/2026
My kid subjected me to 60 seconds of tickling for jokingly suggesting that he have some coffee (he is a certified coffee hater)
Me in orange scarf being mercilessly tickled
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Ben Allen @evodynamics.bsky.social · 31/03/2026
From my kid's homework (prep for MCAS standardized test) I guess they want you to pick (a)? But every answer is flat-out wrong. (My kid gets it)
Multiple choice question on paper:

14. Setting is rarely important in  
(a) stories that are fairy tales 
(b) descriptions of battle
(c) descriptions of a wealthy home (d) stories set in outer space

Below this my kid wrote in:
(e) none of the doove
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Ben Allen @evodynamics.bsky.social · 29/03/2026
Just got back from a really good workshop on evolutionary game theory! (At AMS Eastern Sectional meeting.) Unfortunately I completely failed to take a selfie while there.
Selfie in floral vest with yellow curtain in background
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Ben Allen @evodynamics.bsky.social · 26/03/2026
Thanks spellcheck!
Spellcheck attempts to correct \mathrm (in LaTeX code) to "bathroom"
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