Tumor mutational burden correlates with response to immune checkpoint blockade in
multiple solid tumors, although in microsatellite-stable tumors this association is of uncertain …

BACKGROUND. Understanding the integrated immunogenomic landscape of advanced
prostate cancer (APC) could impact stratified treatment selection. METHODS. Defective …

Despite continued widespread use, the genomic effects of cisplatin-based chemotherapy
and implications for subsequent treatment are incompletely characterized. Here, we analyze …

Tumor molecular profiling of single gene-variant (‘first-order’) genomic alterations informs
potential therapeutic approaches. Interactions between such first-order events and global …

We investigate the rank growth of elliptic curves from $\mathbb{Q}$ to $S_4$ and $A_4$
quartic extensions $K/\mathbb{Q}$. In particular, we are interested in the quantity $\mathrm{rk}(…

We generalize Mertens’ product theorem to Chebotarev sets of prime ideals in Galois
extensions of number fields. Using work of Rosen, we extend an argument of Williams from …

A result of Hohloch links the theory of integer partitions with the Monge formulation of the
optimal transport problem, giving the optimal transport map between (Young diagrams of) …

When ordered by discriminant, it is known that about 83% of quartic fields over $\mathbb {Q}
$ have associated Galois group $ S_4 $, while the remaining 17% have Galois group $ D_4 …

We study how often exceptional configurations of irreducible polynomials over finite fields
occur in the context of prime number races and Chebyshev's bias. In particular, we show that …

A 1976 result from Norton may be used to give an asymptotic (but not explicit) description of
the constant in Mertens' second theorem for primes in arithmetic progressions. Assuming the …