Tootfinder

From finding a spanning subgraph $H$ to an $H$-factor
Allan Lo
https://arxiv.org/abs/2509.18832 https://arxiv.org/pdf/2509.18832

Study on the certain type of nonlinear algebraic partial differential equation in $\mathbb{C}^m$
Sujoy Majumder, Debabrata Pramanik, Nabadwip Sarkar
https://arxiv.org/abs/2508.15857

Study on the certain type of nonlinear algebraic partial differential equation in $\mathbb{C}^m$
In the paper, using Nevanlinna's value distribution theory of meromorphic functions in $\mathbb{C}^m$, we study for the existence of entire solutions $f$ in $\mathbb{C}^m$ of the following algebraic partial differential equation \[f^n(z)+P_d(f(z))=p(z)e^{\langle α,\ol z\rangle},\] where $P_d(f)$ is an algebraic differential polynomial in $f$ of degree $d \leq n-2$, $n \geq 3$ is an integer, $p$ is a non-zero polynomial, $α=(α_{1},\ldots,α_{m})\neq (0,\ldots,0)$ and $\langle α,\ol z\rangle=…

Just finished "The Melancholy of Summer" by Louisa Onomé. It's an excellent book about parental abandonment, rejecting and accepting help, and friendship, set in Toronto. There were a few threads that didn't quite get wrapped up by the end, but the ending wasn't dissatisfying, and the writing is excellent, particularly TV gee dialogue and the narration of Summer's thoughts. I felt like the strategic use of stutters both gave the main character extra vulnerability, but also helped subtly clue the reader into moments where Summer's perception of her interlocutors doesn't match their real feelings. Between this and "Like Home", I feel like Onomé's novels are a bit rough around the edges, yet they're still some of the most enjoyable books I've been reading, probably because she's pours so much humanity into her characters and lets their honest desire for something better rub off on the audience.
#AmReading

Join us today for 'Relational Ecologies of Knowledge and Practice: A Workshop of the Epistemic Justice Network', following from the UNESCO Chairs Forum in Dakar.
UKFIET Conference in Oxford, Wednesday, 17 September, 13:30-15:00
We will brainstorm actionable ideas for achieving epistemic justice as we face broader global challenges of opposition, to imagine visions and learn from lived experiences of reparative partnerships for research and knowledge co-creation.

Ripple Effects
Hosted by Soph Dicker from So Invested following Australian founders and VC operators on a transformative two-week journey in Tanzania...
Great Australian Pods Podcast Directory: https://www.greataustralianpods.com/ripple-effects/

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels
Pramath Anamby, Soumya Das
https://arxiv.org/abs/2509.12148 https://a…

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels
We prove the following statement about any Siegel modular form $F$ of degree $n$ and arbitrary odd level $N$ on the group $Γ_1^{(n)}(N)$. Let $A(F,T)$ denote the Fourier coefficients of $F$ and write $T=(T(i,j))$. Suppose that $F$ has a non-zero Fourier coefficient $A(F,T_0)$ such that $(T_0(n,n),N)=1$. Then there exist infinitely many odd and square-free (and thus fundamental) integers $m$ such that $m=\mathrm{discriminant}(T)$ and $A(F,T)\neq 0$. In the case of odd degrees, we prove a stro…

On the integral simplicial volume of cyclic covers of mapping tori
Federica Bertolotti, Ervin Hadziosmanovic
https://arxiv.org/abs/2510.11651 https://arxiv…

On the integral simplicial volume of cyclic covers of mapping tori
In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an $n$-dimensional torus. By studying the integral filling volume -- an invariant introduced by Frigerio and the first author -- for the monodromy, we establish both lower and upper bounds for the limit of the integral simplicial volume of these covers, normalized by the degree of the covering. These bounds are expressed in terms of…

The Trump administration is not attacking the "excesses" of "woke" scholarship. They're at war with the very idea of power analysis, with the feeling of deep empathy with the oppressed, with ethical commitment to make a just world.

Number of integers represented by families of binary forms III: fewnomials
Etienne Fouvry, Michel Waldschmidt
https://arxiv.org/abs/2509.08335 https://arxi…

Number of integers represented by families of binary forms III: fewnomials
In a series of papers we investigated the following question: given a family $\calF$ of binary forms having nonzero discriminant and integer coefficients, for each $d\geqslant 3$, we estimate the number of integers $m$ with $|m|\leqslant N$ which are represented by an element in $\calF$ of degree $\geqslant d$. Under suitable assumptions, asymptotically as $N\to\infty$, the main term in the estimate is given by the forms in $\calF$ having degree $d$ (if any), while the forms of degree…