Many touchings force many crossings

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These notes cover the lectures of the first named author at 2021 IHES Summer School on "Enumerative Geometry, Physics and Representation Theory" with additional details and references. They cover the definition of Khovanov-Rozansky triply graded homology, ...

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Many touchings force many crossings

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The multivariate Serre conjecture ring

Solving Non-linear Kolmogorov Equations in Large Dimensions by Using Deep Learning: A Numerical Comparison of Discretization Schemes

New SIDH Countermeasures for a More Efficient Key Exchange

Biobased surfactants

Detecting whether a stochastic process is finitely expressed in a basis

Quantitative Sheaf Theory

Preface

On the equation (Du)(t) H Du = G

On Succinct Non-interactive Arguments in Relativized Worlds

Algebra and geometry of link homology Lecture notes from the IHES 2021 Summer School

Unramified F-divided objects and the etale fundamental pro-groupoid in positive characteristic

Dynamic CO2 sorption on MgO-based sorbent in the presence of CO and H2O at elevated pressures

Spherical cap harmonic analysis (SCHA) for characterising the morphology of rough surface patches

Metaball skinning of synthetic astroglial morphologies into realistic mesh models for visual analytics and in silico simulations

Efficient equilibrium-based stress recovery for isogeometric laminated curved structures

Probing the buckling of pressurized spherical shells

A Third Way Alternative; Critical Assessments from the Model of the Yugoslav City

On reducing the number of decision variables for dynamic optimization

Approximating nonabelian free groups by groups of homeomorphisms of the real line

Synthetic Studies toward Amanita Phalloides Toxins