On the local-global principle for isogenies of abelian surfaces
D. Lombardo, M. Verzobio, Selecta Mathematica 30 (2024).
LibreCat: https://research-explorer.ista.ac.at/record/12312
DOI: 10.1007/s00029-023-00908-0
arXiv: 2206.15240

Common valuations of division polynomials
B. Naskrcki, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2024).
LibreCat: https://research-explorer.ista.ac.at/record/12311
DOI: 10.1017/prm.2024.7
arXiv: 2203.02015

Density of rational points on some quadric bundle threefolds
D. Bonolis, T.D. Browning, Z. Huang, Mathematische Annalen (2024).
LibreCat: https://research-explorer.ista.ac.at/record/15337
DOI: 10.1007/s00208-024-02854-4
arXiv: 2204.09322

Generalised quadratic forms over totally real number fields
T.D. Browning, L.B. Pierce, D. Schindler, Journal of the Institute of Mathematics of Jussieu (2024).
LibreCat: https://research-explorer.ista.ac.at/record/15338
DOI: 10.1017/S1474748024000161
arXiv: 2212.11038

Square-free values of random polynomials
T.D. Browning, I.E. Shparlinski, Journal of Number Theory 261 (2024) 220–240.
LibreCat: https://research-explorer.ista.ac.at/record/15312
DOI: 10.1016/j.jnt.2024.02.013
arXiv: 2305.15493 Search...

Local solubility for a family of quadrics over a split quadric surface
T.D. Browning, J. Lyczak, R. Sarapin, Involve 16 (2023) 331–342.
LibreCat: https://research-explorer.ista.ac.at/record/13180
DOI: 10.2140/involve.2023.16.331
arXiv: 2203.06881

Integral points of bounded height on a log Fano threefold
F.A. Wilsch, International Mathematics Research Notices 2023 (2023) 6780–6808.
LibreCat: https://research-explorer.ista.ac.at/record/9034
DOI: 10.1093/imrn/rnac048
WoS: 000773116000001
arXiv: 1901.08503

Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups
F. Balestrieri, Proceedings of the American Mathematical Society 151 (2023) 907–914.
LibreCat: https://research-explorer.ista.ac.at/record/12427
DOI: 10.1090/proc/15239
WoS: 000898440000001

Free rational curves on low degree hypersurfaces and the circle method
T.D. Browning, W. Sawin, Algebra and Number Theory 17 (2023) 719–748.
LibreCat: https://research-explorer.ista.ac.at/record/13091
DOI: 10.2140/ant.2023.17.719
WoS: 000996014700004
arXiv: 1810.06882

The Hasse principle for random Fano hypersurfaces
T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203.
LibreCat: https://research-explorer.ista.ac.at/record/8682
DOI: 10.4007/annals.2023.197.3.3
WoS: 000966611000003
arXiv: 2006.02356

Uniform bounds for rational points on hyperelliptic fibrations
D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze 24 (2023) 173–204.
LibreCat: https://research-explorer.ista.ac.at/record/12916
DOI: 10.2422/2036-2145.202010_018
arXiv: 2007.14182

Some effectivity results for primitive divisors of elliptic divisibility  sequences
M. Verzobio, Pacific Journal of Mathematics 325 (2023) 331–351.
LibreCat: https://research-explorer.ista.ac.at/record/12313
DOI: 10.2140/pjm.2023.325.331
WoS: 001104766900001
arXiv: 2001.02987

Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces
J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478.
LibreCat: https://research-explorer.ista.ac.at/record/13973
DOI: 10.5802/aif.3529
WoS: 001000279500001
arXiv: 2005.14013

Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution
T. Horesh, A. Nevo, Pacific Journal of Mathematics 324 (2023) 265–294.
LibreCat: https://research-explorer.ista.ac.at/record/14245
DOI: 10.2140/pjm.2023.324.265
WoS: 001047690500001
arXiv: 1612.08215

Equidistribution of primitive lattices in dn
T. Horesh, Y. Karasik, Quarterly Journal of Mathematics 74 (2023) 1253–1294.
LibreCat: https://research-explorer.ista.ac.at/record/14717
DOI: 10.1093/qmath/haad008
arXiv: 2012.04508

Existence and density problems in Diophantine geometry: From norm forms to Campana points
A.L. Shute, Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/12072
DOI: 10.15479/at:ista:12072

Integral points of bounded height on a certain toric variety
F.A. Wilsch, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/10788
DOI: 10.48550/arXiv.2202.10909
arXiv: 2202.10909

Equidistribution and freeness on Grassmannians
T.D. Browning, T. Horesh, F.A. Wilsch, Algebra &; Number Theory 16 (2022) 2385–2407.
LibreCat: https://research-explorer.ista.ac.at/record/9199
DOI: 10.2140/ant.2022.16.2385
WoS: 000961514100004
arXiv: 2102.11552

On the size of the maximum of incomplete Kloosterman sums
D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590.
LibreCat: https://research-explorer.ista.ac.at/record/9364
DOI: 10.1017/S030500412100030X
WoS: 000784421500001
arXiv: 1811.10563

Integral points on singular del Pezzo surfaces
U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu (2022).
LibreCat: https://research-explorer.ista.ac.at/record/10018
DOI: 10.1017/S1474748022000482
WoS: 000881319200001
arXiv: 2109.06778