Research preprints
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Milne's rationality conjecture for abelian varieties
05:17 min - 2
BSD leading-term formula from low Selmer corank
06:21 min - 3
Selmer converse and sums of two cubes
04:39 min - 4
The two-primary BSD formula in rank one
04:22 min - 5
Zero-free regions and the quasi-Riemann hypothesis
Viendo ahora - 6
The quasi-Riemann hypothesis and zero-free regions
04:33 min - 7
Landau–Siegel zeros: how a determinant could forbid a real zero near 1
06:21 min - 8
Converse theorem for elliptic curves with 2-torsion
05:48 min - 9
Hilbert's tenth problem over the rationals
05:21 min - 10
Why Catalan's constant G is irrational
05:05 min - 11
Goldfeld's conjecture and the 2∞-Selmer converse
06:32 min - 12
Average rank of elliptic curve twists
05:27 min - 13
Chowla–Elliott correlations via divisibility graphs
05:54 min - 14
The Grothendieck–Teichmüller Lie algebra and the Deligne–Drinfeld conjecture
06:43 min - 15
Milnor K-theory and field reconstruction mod p
05:48 min - 16
Milnor K-theory and birational anabelian reconstruction
06:09 min - 17
Bogomolov–Pop reconstruction: the uniform bound along a pencil
05:51 min - 18
Fontaine–Mazur modularity at the prime 2
06:23 min - 19
The dimension of the two-adic Hecke algebra
04:39 min - 20
Pro-modularity at 2 without de Rham conditions
05:38 min - 21
Beating the parity obstruction for primes p with μ(p − 1) = 1
05:29 min - 22
Poisson-Dirichlet law for prime factors of p−1
05:47 min - 23
Totient function fibers and smooth shifted primes
05:38 min - 24
Independence of largest prime factors in consecutive integers
06:50 min - 25
Ostmann's inverse Goldbach problem and prime indecomposability
05:54 min - 26
Hecke eigensheaves with tame ramification
05:49 min - 27
Frobenius structures on tame Hecke eigensheaves
06:14 min - 28
Global Arthur parameters via cuspidal excursion data
04:38 min - 29
Nilpotent orbit decomposition of cuspidal automorphic functions
06:09 min - 30
Rationality of the canonical Arthur filtration
06:04 min - 31
Hecke eigensheaves with ramification at marked points
06:07 min - 32
Temperedness at ramified places for exceptional groups
05:17 min - 33
Restricted geometric Langlands in positive characteristic
05:38 min - 34
Equidistribution of prime-degree torus packets
06:12 min - 35
Sextic torus packets: why degree six needs a new machine
05:29 min - 36
Equidistribution of quartic torus packets as orders grow
06:17 min - 37
Zilber–Pink for curves in A2: elliptic squares
06:21 min - 38
Finiteness of quaternionic points on Siegel curves
06:27 min - 39
Why E × CM points run out: the exponent race behind Zilber–Pink for curves in A2
05:41 min - 40
The abelian Zilber–Pink conjecture: atypical intersections and height scales
05:51 min - 41
Irrationality exponent of π and Flint–Hills convergence
05:56 min - 42
Normal subgroups and the Margulis–Platonov conjecture
05:26 min - 43
The Margulis–Platonov conjecture over number fields
06:10 min - 44
Section conjecture for p-adic curves
05:57 min - 45
Étale covers with a prescribed exterior sheet
05:53 min - 46
Power-free values of irreducible quartic to octic polynomials
06:32 min - 47
Jacobsthal's function and the quadratic bound
06:20 min - 48
The weak inhomogeneous Duffin–Schaeffer problem
05:31 min - 49
Kummer's bias in cubic Gauss sums
05:29 min - 50
Counting totient values: Ford's asymptotic refined
05:45 min - 51
Short Egyptian fraction expansions and Erdős's bound
05:03 min - 52
Positive density of large prime gaps
05:11 min - 53
Zariski density of integral points on character varieties
06:24 min - 54
Gaussian moats: why bounded-step prime walks must stop
06:26 min - 55
Artin's primitive root conjecture explained
06:03 min - 56
Simultaneous primitive roots: conditional bound
06:57 min - 57
Modularity of elliptic curves over imaginary quadratic fields
05:30 min - 58
Uchida's conjecture: from local correspondences to Hoshi's cyclotomic test
05:33 min - 59
A conditional reduction for algebraic Kuga–Satake correspondences
05:45 min - 60
Hodge conjecture for self-powers via Gale duality
04:20 min - 61
Hodge conjecture for K3 self-powers via Kuga–Satake
05:51 min - 62
Hodge classes on CM abelian varieties
05:49 min - 63
Hodge conjecture on abelian variety powers
05:08 min - 64
Kähler canonical bundle formula and b-semiampleness
05:58 min - 65
Logarithmic Kodaira dimension and whole-fiber variation
05:04 min - 66
Iitaka subadditivity and Campana's orbifold conjecture
06:02 min - 67
Iitaka's subadditivity via Hodge-theoretic techniques
05:31 min - 68
Logarithmic Kodaira additivity and the reverse inequality
05:07 min - 69
Abundance after nonvanishing for compact Kähler fourfolds
04:43 min - 70
Bounded Stein degree for log Calabi–Yau boundaries
05:58 min - 71
Good minimal models for Kähler fourfolds
05:11 min - 72
Canonical nonvanishing for fourfolds via moving jets
05:37 min - 73
Lifting sections for log abundance in fourfolds
05:52 min - 74
Log abundance for compact Kähler spaces
06:10 min - 75
Log abundance for log canonical pairs in characteristic zero
06:09 min - 76
Minimal singular metrics on nef adjoint bundles
05:55 min - 77
Uniform Cartier bounds in canonical bundle formulas
06:38 min - 78
Pseudo-effectivity and Kodaira dimension of fiber spaces
05:11 min - 79
Effective Iitaka fibrations and uniform pluricanonical degree
05:02 min - 80
Effective log Iitaka fibrations for fourfolds
05:29 min - 81
Uniform index bounds for slc Calabi–Yau pairs
05:52 min - 82
Uniform Iitaka fibrations and bounded moduli denominators
06:11 min - 83
Abundance in numerical dimension one for terminal threefolds
05:18 min - 84
Abundance in numerical dimension one for threefolds
05:53 min - 85
Minimal models or Mori fibre spaces for generalized log canonical Q-pairs
06:14 min - 86
Minimal models in numerical dimension one
06:20 min - 87
Understanding the Generalized Abundance Conjecture
06:25 min - 88
Generalized abundance for nef adjoint classes on Kähler manifolds
05:40 min - 89
Normalized volume gap in dimension four
05:58 min - 90
Normalized volume gap at ordinary double points
05:42 min - 91
Fujita's freeness conjecture explained
05:31 min - 92
Nagata–Biran–Szemberg threshold via Okounkov simplex reshaping
06:47 min - 93
Maximal Seshadri constants: the qualitative Nagata–Biran conjecture
04:54 min - 94
Multipoint Seshadri constants in positive characteristic
06:01 min - 95
Nagata's Conjecture: Multiplicity Bounds for Plane Curves
06:01 min - 96
Bloch's conjecture via Quot scheme localization
06:38 min - 97
Why Lagrangian fibration bases are projective space
05:54 min - 98
The strong hyperkähler SYZ conjecture and Lagrangian fibrations
05:38 min - 99
Why every complex K3 surface is Oka
05:33 min - 100
P = W in composite rank for fixed determinant
05:44 min