Audrey 🏳️‍⚧️ @inannabelian Twitter profile

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Proof: involves a set Me, guy who has only ever heard of geometry: this has geometry vibes

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Audrey 🏳️‍⚧️

@inannabelian

3 years

@JRHagerty @FaeKronman The secret being, of course, that the resistance was never about grammar in the first place

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Audrey 🏳️‍⚧️

@inannabelian

2 years

We make fun of physicists for the whole “a tensor is something that transforms like a tensor” thing but don’t spend nearly enough time making fun of mathematicians for “a vector is an element of a vector space”

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Audrey 🏳️‍⚧️

@inannabelian

2 years

I could never do natural science because unlike math it’s too concerned with actual truth and not concerned with vibe

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Alright, I’ve made my decision! Next fall I will be starting my PhD at UC Berkeley!!!!

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Audrey 🏳️‍⚧️

@inannabelian

2 years

So…anyone got an AI that knows commutative algebra and representation theory?

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Audrey 🏳️‍⚧️

@inannabelian

3 years

When I took complex analysis, I hated it. Now I’m TAing the course, and the students hate it. It’s a beautiful subject, for sure. So why are we hating it? Did you hate it?

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Audrey 🏳️‍⚧️

@inannabelian

1 year

Have a set S? Want to show it’s finite? Here’s how! 1. Show S is naturally equipped with the structure of a smooth manifold. 2. Show the tangent space to S has dimension 0. 3. Show S is compact. This is a very normal and reasonable thing to do.

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Got my first acceptance. I am going to grad school!!!

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Audrey 🏳️‍⚧️

@inannabelian

4 years

@bunnnyboots @nefaeriest @almiemccoy @siimsus I don’t think this is a productive mindset. Many people find it easier to cut down on animal products than to cut them out. If a lot of people go “90% vegan” then this still works towards vegan goals while being more attainable for many people.

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Audrey 🏳️‍⚧️

@inannabelian

4 years

My mom emailed Allen Hatcher for gift ideas 😭😭😭

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Audrey 🏳️‍⚧️

@inannabelian

3 years

The goal of advancing mathematics should *always* be secondary to the goal of making the world a better place

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Audrey 🏳️‍⚧️

@inannabelian

1 year

One of the most prominent mathematicians in my field writes exclusively in Microsoft Word. He also has written multiple 300-page technical treatises that prove foundational results in the field, that accordingly 3 people have ever actually read

the finite physicist

@FinitePhysicist

1 year

Just found out about Latex! This is so much better for writing physics papers than microsoft word

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Audrey 🏳️‍⚧️

@inannabelian

2 years

I PROVED A THING I PROVED A THING I PROVED A THING* *modulo a small technical detail that I hope my advisor tells me is trivial

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Over half of the math PhD applicants I know of at my school are queer

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Audrey 🏳️‍⚧️

@inannabelian

9 months

Never, ever write an abstract like this 💀

arXiv math.DG Differential Geometry

@mathDGb

9 months

William Bies: Unification of the Fundamental Forces in Higher-Order Differential Geometry

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Complex algebraic geometry gives me a truly poetic sense of despair. Two hours of staring at a holomorphic line bundle and I can feel my soul weeping in my hollow heart

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Audrey 🏳️‍⚧️

@inannabelian

3 years

I know math is *technically* STEM but I still consistently feel like I’m not quite welcome at STEM events

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Guys I think I just proved a thing!!!!!

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Audrey 🏳️‍⚧️

@inannabelian

1 year

I don’t really know why undergrad linear algebra spends so much time harping on the rank-nullity theorem, given that it’s just a special case of the Atiyah-Singer Index Theorem over a point which they’ll be learning soon enough after anyways

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Audrey 🏳️‍⚧️

@inannabelian

4 years

I just wanna know math so I can write one of those explanatory math threads about a cool subject that everyone on here doesn’t already know and get lots of likes and endorphins

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Audrey 🏳️‍⚧️

@inannabelian

3 years

@Bakari45 @BoycottLex @tabali_tigi @ritacricks @dijoni Hell I still hear about the Boston marathon bombings every couple months

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Got a tip from a well-respected mathematician that one of the (published) papers I’m citing is wrong. He didn’t know what part of the argument failed, but he gave me some names of people to talk to who might know. And so the hunt begins.

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Audrey 🏳️‍⚧️

@inannabelian

2 years

There’s a cis guy here wearing an “I hrt math” shirt

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Seiberg-Witten Theory, thread 1/2: 4-manifolds and "why Seiberg-Witten Theory?" After this I will do a thread going a little more into the technical details, because I think too often the analysis is glossed over and it's actually really cool! 1/n

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Audrey 🏳️‍⚧️

@inannabelian

1 year

I know my students. I know what they understand. It’s SO painful to grade their quizzes and see how many points they lost because they clearly freaked out and wrote down something nonsensical due to time pressure. Why does anyone still think timed exams reflect understanding??

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Audrey 🏳️‍⚧️

@inannabelian

2 years

I think it would be cool if we did away with timed exams before I flunk out of my PhD program as opposed to after

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Why are the p-adics useful?

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Everyone I talk to seems to be pushing me in the direction of the higher ranked schools I’ve gotten into. It seems to me that some of these higher ranked schools are/can be toxic, which scares me. Dunno what to do

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Audrey 🏳️‍⚧️

@inannabelian

1 year

@ppppp1245688 @platformedboots Conversely, I’d argue that marketing towards women is part of what’s *making* women like this. It’s not like women are born desperately chasing the new fashion trends. This culture is manufactured!

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Audrey 🏳️‍⚧️

@inannabelian

1 year

Y’know…I’m coming to the realization that I’m not actually sure I like math enough to spend 80 hours a week on work. I’m going to set work-life boundaries and then I am going to get my PhD and if I don’t make it academia…that’s that, I guess

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Folks who did grad school right after undergrad - what did you do the summer after graduating?

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Two weeks in to being PhD student at Berkeley after undergrad at a small school: 1. Actual classes are clearly designed for undergrads 2. What is homework 3. I do whatever I want 4. So I just spend all my time going to seminars 5. Haven’t seen a professor in years

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Audrey 🏳️‍⚧️

@inannabelian

1 year

I actually agree here that at a physics/math PhD level, integrals count as basic math - they’re bread and butter tools. So is division! But lord knows I’m not comfortable with manually dividing 30 digit numbers by 12 digit numbers. Luckily I don’t have to do it in my day to day

ame🪻 | working on comms

@ameblum

1 year

@ominouslozenge @frogsforgirls Computing (or trying to compute) integrals is something a physics/math/engineering major is supposed to be able to do. The meaning of "basic math" is dependent of the context. Keep your sarcasm to yourself.

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Audrey 🏳️‍⚧️

@inannabelian

4 years

How can we make math culture more positive?

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Look I just love SO(n) okay

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Audrey 🏳️‍⚧️

@inannabelian

4 years

I will henceforth be using “number” to mean any element of any algebraic structure

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Audrey 🏳️‍⚧️

@inannabelian

1 year

@JayGenXer @GregLon42879786 @LadyJayPersists What is this, 2011?

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Audrey 🏳️‍⚧️

@inannabelian

2 years

At what point do you abandon a research question

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Class today: Student: what do you mean by “fibration” Professor: *thinks for a moment, then draws a commutative diagram* does that make sense?

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Audrey 🏳️‍⚧️

@inannabelian

4 years

Do people get annoyed if an undergrad shows up to research seminars (and is very quiet and not obnoxious) because with everything on zoom I now actually have access to seminars I’m interested in

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Audrey 🏳️‍⚧️

@inannabelian

2 years

We do not deserve a higher wage because we are at a prestigious university. We deserve a higher wage because everyone deserves a living wage. Because we do essential labor for the university. And because the university can damn well afford it.

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Stop making functors. There are enough functors

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Told a professor I hadn’t read the textbook chapters she assigned (which she lectured on very clearly in class, and I understood) because I had grad school applications and a thesis. She told me that if this was too much, I was gonna have a bad time in grad school.

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Audrey 🏳️‍⚧️

@inannabelian

11 months

Coming to the unfortunate realization that single variable analysis is the only fun type of math and everything after it was a mistake

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Audrey 🏳️‍⚧️

@inannabelian

2 years

:/

Audrey 🏳️‍⚧️

@inannabelian

2 years

Guys I think I just proved a thing!!!!!

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Audrey 🏳️‍⚧️

@inannabelian

4 years

I do know 1 cool thing and here it is: a thread about the relationship between fluid dynamics and geometry. Specifically, there's a result of Arnold which relates solutions to the Euler equations for a perfect fluid and geodesics on an infinite dimensional Lie group. 1/n

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Audrey 🏳️‍⚧️

@inannabelian

3 years

I think my students are frustrated for a couple reasons. One: it feels like a calculus course. They just got out of real analysis and abstract algebra and now they’re in a calculus course. And it’s really, really hard. How humiliating is that!

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Audrey 🏳️‍⚧️

@inannabelian

9 months

Lovely answer by Elliot to follow up on my answer to @taz_chu . Now that I'm thinking about this, though, I'd like to talk a little more about a perspective Elliot didn't touch on, which is the perspective that symplectic is sort of "generalized complex geometry"

chessapig

@chessapigbay

9 months

1980s: Breakthrough time. Gromov does hard analysis, counts number of curves satisfying certain differential equations ("pseudoholomorphic curves"), and solves like 3 open problems in 1 paper. He built the first nontrivial symplectic invariant, and nopes out of the field. 13/

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Audrey 🏳️‍⚧️

@inannabelian

4 years

Why are there high schoolers on math Twitter and why do they know more math than me

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Audrey 🏳️‍⚧️

@inannabelian

3 years

So…which one of you is the covariant and which one is the contravariant?

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Audrey 🏳️‍⚧️

@inannabelian

3 years

I think complex analysis is extraordinarily unintuitive if you haven’t had courses in, like, PDE and topology, because it’s essentially a combination of those two. These students barely survived conservative vector fields, but this is a whole other level.

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Audrey 🏳️‍⚧️

@inannabelian

10 months

@taz_chu I think about it like this: the basic thing a symplectic form gives us is a way to measure even dimensional area. So it’s a geometric rigidity: not all diffeomorphisms preserve 2k dim area. It’s also slightly squishier than even that because you’re working with a closed form

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Audrey 🏳️‍⚧️

@inannabelian

2 years

After nearly a year: Seiberg-Witten Theory, thread 2/2: how SW theory actually works. When I wrote this thread I had just learned SW theory. Now, a year later, I have actually used it; on the other hand, my research has strayed away from SW theory so I may be a bit rusty. 1/n

Audrey 🏳️‍⚧️

@inannabelian

3 years

Seiberg-Witten Theory, thread 1/2: 4-manifolds and "why Seiberg-Witten Theory?" After this I will do a thread going a little more into the technical details, because I think too often the analysis is glossed over and it's actually really cool! 1/n

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Audrey 🏳️‍⚧️

@inannabelian

1 year

Reflections from day 1 of class: 1. Teaching is so cool 2. I want to be a teacher for the rest of my life

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Audrey 🏳️‍⚧️

@inannabelian

2 years

It’s official, I have been deadnamed in a grad school acceptance.

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Anyone have suggestions for topology/geometry tattoo ideas? Current leading contenders are Stokes’ Theorem and the Hopf Fibration

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Audrey 🏳️‍⚧️

@inannabelian

8 months

I found that studying foliation theory and contact geometry was *really good* for my intuitive understanding of differential forms, at least 1- and 2- forms

adithya

@00aleph00

8 months

does anyone *actually* understand what a differential form is? like in their heart?

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Both schools have now apologized and corrected their letters of admission. Now I can go get excited about my stream of acceptances lol

Audrey 🏳️‍⚧️

@inannabelian

2 years

Aaaaaand I just got deadnamed again by ANOTHER grad school what the fuck

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Audrey 🏳️‍⚧️

@inannabelian

2 years

@ben_steffan L^2 + ratio + you get no integrals

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Audrey 🏳️‍⚧️

@inannabelian

2 years

My first tattoo!! Poem/quote by the wonderful @sadqueer4life , tattoo by Salem Jones (@ jonesthepilot on Instagram)

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Audrey 🏳️‍⚧️

@inannabelian

1 year

@Abelian_Surface Generally when I say finiteness I mean: a set S is “finite” iff every group structure on S is trivial when abelianized and then tensored (over Z) with the rational numbers. As this is a purely algebraic definition, one does not strictly need a topology to demonstrate it!

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Solving a hard math problem is just a series of reductions and sometimes it really feels like difficulty is a conserved quantity

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Audrey 🏳️‍⚧️

@inannabelian

4 years

@TheMathThey He told her we’re interested in slightly different areas, but gave her a list of ones he thought I’d like. She ended up getting me a copy of Bott&Tu, which was exactly what I wanted so

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Why did I get gendered correctly more consistently in rural MA than I do in Berkeley, California

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Two: they feel like they don’t understand any of the concepts. Namely, they’ve struggled a lot with Laurent series and understanding when the Cauchy integral theorem applies. I’ve had a surprising amount of difficulty explaining the concepts. I thought I understood them!

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Audrey 🏳️‍⚧️

@inannabelian

10 months

I am currently in a class where I am the only woman for the first time in my life. People have been reasonably nice and I like the professor, but I do feel extremely visible and out of place

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Audrey 🏳️‍⚧️

@inannabelian

3 years

The GRE still has a fucking VOCABULARY section and anyone takes it seriously??

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Audrey 🏳️‍⚧️

@inannabelian

4 years

All I want for Christmas is my own cohomology theory

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Please god don’t let conservative Twitter see this tweet

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Sexual coorientation: the people who are attracted to you

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Actually, speaking of conservative vector fields, they all hated multi too. Too many subjects packed into too little time - you can’t actually take the time to appreciate any of them! Maybe this stems from that because CA is basically multi pt 2

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Audrey 🏳️‍⚧️

@inannabelian

2 years

I now know what the Sylow theorems are everyone I’m ready to Partake in the Discourse

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Audrey 🏳️‍⚧️

@inannabelian

3 years

All theorems are just the Gauss-Bonnet theorem

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Starting the grad school search. On one hand, Notre Dame has a lot of really cool people doing really cool work. On the other: do I feel comfortable going to grad school in a red state? (Trans people please chime in)

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Audrey 🏳️‍⚧️

@inannabelian

3 years

@stevenstrogatz A bundle of geometers

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Audrey 🏳️‍⚧️

@inannabelian

1 year

My advisor, sensing that I am a masochist (aspiring analyst), has suggested I retype and streamline one of the proofs in LaTeX, both for my own education and as some form of community service

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Audrey 🏳️‍⚧️

@inannabelian

3 years

A bit of a ramble, but basically I’m trying to figure out how we can make complex analysis a better experience for students.

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Audrey 🏳️‍⚧️

@inannabelian

2 years

Aaaaaand I just got deadnamed again by ANOTHER grad school what the fuck

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Audrey 🏳️‍⚧️

@inannabelian

2 years

I’m so cute look at me

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Audrey 🏳️‍⚧️

@inannabelian

1 year

University requiring me to use a particular $80 textbook for my class instead of the free one online. Oh, and it’s a special version of a popular textbook made specifically for the university, and as far as I know there are no PDFs made of this book

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Audrey 🏳️‍⚧️

@inannabelian

4 years

To my budding understanding, it looks like there’s a growing “categorical viewpoint” on differential geometry, using groupoids and especially Lie groupoids to reimagine a lot of ideas. Here’s an informal thread on what I know. If any experts read this please chime in.

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Audrey 🏳️‍⚧️

@inannabelian

1 year

@girlofswords I don’t but my endo tells me basically “yeah if you know anything about endocrinology some trans women getting periods really isn’t that surprising”

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Audrey 🏳️‍⚧️

@inannabelian

1 year

Every time I’m at CVS this one pharmacist is always like “those are such cool fucking pants, that jacket is on point, your fits always go so fucking hard” before he gives me my, like, stomach pain meds and estrogen. I’ve started dressing up a little every time I go

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Audrey 🏳️‍⚧️

@inannabelian

3 years

So I think I don’t like Hatcher’s AT that much. I need something a little more terse, specifically for homology and cohomology theory. Any recommendations?

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Wow this algebra sure is abstract

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Audrey 🏳️‍⚧️

@inannabelian

2 years

I think there are a lot of good reasons we should be offering more online classes. Primarily: disability accommodation. But please let’s not pretend that everyone finds them easier. I didn’t. I found that I could hardly pay attention. Most of my friends felt the same way.

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Audrey 🏳️‍⚧️

@inannabelian

2 years

@HutorTv @hallatolali @fayemikah Sex

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Wish I knew more math

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Audrey 🏳️‍⚧️

@inannabelian

1 year

The main difference between geometry and topology is that geometer a study Banach manifolds, whereas topologists study Fréchet manifolds

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Audrey 🏳️‍⚧️

@inannabelian

3 years

My favorite hobby is getting my professors to say “you’re awfully excited about this, perhaps you should consider majoring!” So far I’ve had it happen in 5 departments, none of them math

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Okay, question 2: any tips on how to tell if a school is going to be secretly horrible to trans people?

Audrey 🏳️‍⚧️

@inannabelian

3 years

Starting the grad school search. On one hand, Notre Dame has a lot of really cool people doing really cool work. On the other: do I feel comfortable going to grad school in a red state? (Trans people please chime in)

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Audrey 🏳️‍⚧️

@inannabelian

4 years

In high school I went to my calc teacher with my latest nerdy math question and she asked if I had any friends. And since then she’s lived in my brain rent-free

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Audrey 🏳️‍⚧️

@inannabelian

3 years

A little thread on a new paper posted to arXiv last week that I'm excited about (I haven't read it through yet), in 4-dimensional topology by Peter Lambert-Cole. 1/19

An adjunction criterion in almost-complex 4-manifolds

The adjunction inequality is a key tool for bounding the genus of smoothly embedded surfaces in 4-manifolds. Using gauge-theoretic invariants, many versions of this inequality have been...

arxiv.org

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Alright boys we’re going in

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Audrey 🏳️‍⚧️

@inannabelian

3 years

It’s really astounding just how much more *stuff* we know in 3 dimensions than 4. Like there are 8 billion tools that all intersect in cool ways while in 4 dimensions there’s...Seiberg-Witten theory, some variants, and Kirby calculus. And like symplectic/algebraic stuff sometimes

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Audrey 🏳️‍⚧️

@inannabelian

3 years

Lagrange multipliers?! In my good Christian low-dimensional topology???

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Audrey 🏳️‍⚧️

@inannabelian

10 months

they call me symplectic form the way im transing people

Analysis Fact

@AnalysisFact

10 months

“I usually like to say that vector fields are like a man, and differential forms are like a woman. Society must have two sexes. If you only have one, it’s not enough.” — Shiing-Shen Chern

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Audrey 🏳️‍⚧️

@inannabelian

3 years

What if maybe physics is actually cool and also I learned some algebraic geometry

4

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Audrey 🏳️‍⚧️

@inannabelian

4 years

Update: my brother got my some homotopy theory book I’ve never heard of that looks awesome that he found on Hatcher’s website I’m so happy rn

1

0

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