Publications related to Distinct Distances on Algebraic Curves in the Plane

Multi space reduced basis preconditioners for parametrized partial differential equations

The multiquery solution of parametric partial differential equations (PDEs), that is, PDEs depending on a vector of parameters, is computationally challenging and appears in several engineering contexts, such as PDE-constrained optimization, uncertainty qu ...

EPFL2018

Rapid Deployment of Curved Surfaces via Programmable Auxetics

Mark Pauly, Mina Konakovic Lukovic

Deployable structures are physical mechanisms that can easily transition between two or more geometric configurations; such structures enable industrial, scientific, and consumer applications at a wide variety of scales. This paper develops novel deployabl ...

ASSOC COMPUTING MACHINERY2018

Fragility Curves for Wide-Flange Steel Columns and Implications on Building-Specific Earthquake-Induced Loss Assessment

Dimitrios Lignos, Ahmed Mohamed Ahmed Elkady, Subash Ghimire

Building-specific loss assessment methodologies utilize component fragility curves to compute the expected losses in the aftermath of earthquakes. Such curves are not available for steel columns assuming they remain elastic due to capacity design considera ...

2018

Algebraic and topological methods in combinatorics

Adrian Claudiu Valculescu

The present thesis deals with problems arising from discrete mathematics, whose proofs make use of tools from algebraic geometry and topology. The thesis is based on four papers that I have co-authored, three of which have been published in journals, and o ...

EPFL2017

On some algebraic and extremal problems in discrete geometry

Seyed Hossein Nassajianmojarrad

In the present thesis, we delve into different extremal and algebraic problems arising from combinatorial geometry. Specifically, we consider the following problems. For any integer

n\ge 3

, we define

e(n)

to be the minimum positive integer such that an ...

EPFL2017

Generating Calligraphic Trajectories with Model Predictive Control

Sylvain Calinon

We describe a methodology for the interactive definition of curves and motion paths using a stochastic formulation of optimal control. We demonstrate how the same optimization framework can be used in different ways to generate curves and traces that are g ...

2017

Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration

Dimitri Stelio Wyss, Michael Gröchenig

We prove the Topological Mirror Symmetry Conjecture by Hausel-Thaddeus for smooth moduli spaces of Higgs bundles of type

SL_n

and

PGL_n

. More precisely, we establish an equality of stringy Hodge numbers for certain pairs of algebraic orbifolds generica ...

2017

Erdos Distinct Distances Problem and Extensions over Finite Spaces

Van Thang Pham

In this thesis we study a number of problems in Discrete Combinatorial Geometry in finite spaces. The contents in this thesis are structured as follows: In Chapter 1 we will state the main results and the notations which will be used throughout the thesis. ...

EPFL2017

Dynamic Graffiti Stylisation with Stochastic Optimal Control

Sylvain Calinon

We present a method for the interactive generation of stylised letters, curves and motion paths that are similar to the ones that can be observed in art forms such as graffiti and calligraphy. We define various stylisations of a letter form over a common g ...

ACM2017

Distinct Distances on Algebraic Curves in the Plane

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Multi space reduced basis preconditioners for parametrized partial differential equations

Rapid Deployment of Curved Surfaces via Programmable Auxetics

Fragility Curves for Wide-Flange Steel Columns and Implications on Building-Specific Earthquake-Induced Loss Assessment

Algebraic and topological methods in combinatorics

On some algebraic and extremal problems in discrete geometry

Generating Calligraphic Trajectories with Model Predictive Control

Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration

Erdos Distinct Distances Problem and Extensions over Finite Spaces

Dynamic Graffiti Stylisation with Stochastic Optimal Control

Rapid Deployment of Curved Surfaces via Programmable Auxetics

On some algebraic and extremal problems in discrete geometry

Algebraic and topological methods in combinatorics

Dynamic Graffiti Stylisation with Stochastic Optimal Control

Generating Calligraphic Trajectories with Model Predictive Control

Mirror symmetry for moduli spaces of Higgs bundles via $p$-adic integration

Erdos Distinct Distances Problem and Extensions over Finite Spaces

Multi space reduced basis preconditioners for parametrized partial differential equations

Fragility Curves for Wide-Flange Steel Columns and Implications on Building-Specific Earthquake-Induced Loss Assessment