Uniform estimates for almost primes over finite fields
 Elboim, D Gorodetsky, O Proceedings of the American Mathematical Society volume 150 issue 7 2807-2822 (2022)
A note on the snout
 Fowler, A Journal of Glaciology volume 69 issue 273 211-216 (22 Jun 2022)
Deficiency, relation gap and two-dimensional groups
 Kar, A Nikolov, N Journal of Topology and Analysis volume 17 issue 1 131-141 (24 Jul 2023)
Potential automorphy over CM fields
 Allen, P Calegari, F Caraiani, A Gee, T Helm, D Le Hung, B Newton, J Scholze, P Taylor, R Thorne, J Annals of Mathematics volume 197 897-1113 (23 Mar 2023)
Amylase and esterase polymorphisms in economically important stored product mites (Acari: Astigmata)
 Bowman, C Lessiter, M Comparative Biochemistry and Physiology Part B Comparative Biochemistry volume 81 issue 2 353-360 (Jan 1985)
Profinite rigidity and free groups
 Bridson, M 2313 volume 2313 233-240 (03 Aug 2023)
Thu, 16 Jun 2022

16:00 - 17:00
L4

Ax-Schanuel and exceptional integrability

Jonathan Pila
(University of Oxford)
Abstract

In joint work with Jacob Tsimerman we study when the primitive
of a given algebraic function can be constructed using primitives
from some given finite set of algebraic functions, their inverses,
algebraic functions, and composition. When the given finite set is just {1/x}
this is the classical problem of "elementary integrability".
We establish some results, including a decision procedure for this problem.

A mathematical model of aqueous humor production and composition
 Dvoriashyna, M Foss, A Gaffney, E Repetto, R Investigative Ophthalmology and Visual Science volume 63 issue 9 (02 Aug 2022)
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