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) doi:10.1142/S1793525323500085
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) doi:10.4007/annals.2023.197.3.2
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) doi:10.1016/0305-0491(85)90325-6
SMT-Based Reachability Analysis of High Dimensional Interval Max-Plus Linear Systems
 Mufid, M Adzkiya, D Abate, A IEEE Transactions on Automatic Control volume 67 issue 6 2700-2714 (18 Jun 2021) doi:10.1109/tac.2021.3090525
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) doi:10.1167/iovs.63.9.1
Tracking the 2022 monkeypox outbreak with epidemiological data in real-time
 Kraemer, M Tegally, H Pigott, D Dasgupta, A Sheldon, J Wilkinson, E Schultheiss, M Han, A Oglia, M Marks, S Kanner, J O'Brien, K Dandamudi, S Rader, B Sewalk, K Bento, A Scarpino, S de Oliveira, T Bogoch, I Katz, R Brownstein, J The Lancet Infectious Diseases volume 22 issue 7 941-942 (09 Jul 2022) doi:10.1016/s1473-3099(22)00359-0
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