Curves of low genus on surfaces and applications

Special L-values for Drinfeld modules over elliptic curves

Linear relations among double zeta values in positive characteristic

Recent results on linear independence of dilogarithmic values

Multiple zeta values and their cyclotomic generalizations

Some recent work on the abc conjecture

On GCD of sequences over function field

Subgroups of Class Groups and the Absolute Chevalley-Weil Theorem

Current Trends in Diophantine Geometry and Transcendence

A review and update on the abc conjecture.

Powers with second differences equal to 2.

Towards Portable Machine Learning Kernels for Deep Neural Networks with Autotuning on top of OpenCL and First Generation High Bandwidth Memory GPUs

Harmonic maps of Painlevé-type: the loop group point of view

Harmonic maps of Painlevé-type: the loop group point of view

Exponential Hodge theory (II)

Exponential Hodge theory (I)

Monodromy dependence and connection formulae for isomonodromic tau functions

Monodromy dependence and connection formulae for isomonodromic tau functions

Gromov-Witten theory and variation of Hodge structure under conifold transitions for Calabi-Yau threefolds

Gromov-Witten theory and variation of Hodge structure under conifold transitions for Calabi-Yau threefolds

Hyperkahler manifolds from connections and quivers

Non-perturbative symplectic manifolds and non-commutative algebras

An explicit geometry of moduli spaces of Higgs bundles and Singular connections on a smooth curve and differential equations of Painlevé types

An explicit geometry of moduli spaces of Higgs bundles and Singular connections on a smooth curve and differential equations of Painlevé types

The Painlevé III equation of type (0,0,4,-4), associated vector bundles with additional structure, and the geometry of the movable poles of real solutions

The Painlevé III equation of type (0,0,4,-4), associated vector bundles with additional structure, and the geometry of the movable poles of real solutions

Dubrovin connection under flips

Asymptotic behaviour of certain families of harmonic bundles on Riemann surface

Asymptotic behaviour of certain families of harmonic bundles on Riemann surface

Dubrovin connection under flips