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A survey of semisimple algebras in algebraic combinatorics
This is a survey of semisimple algebras of current interest in algebraic combinatorics, with a focus on questions which we feel will be new and...
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The Mathematics of László Lovász
This is an exposition of the contributions of László Lovász to mathematics and computer science written on the occasion of the bestowal of the Abel...
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Transcendence in Algebra, Combinatorics, Geometry and Number Theory TRANS19 – Transient Transcendence in Transylvania, Brașov, Romania, May 13–17, 2019, Revised and Extended Contributions
This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient...
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Martin Kneser’s Work on Quadratic Forms and Algebraic Groups
This article provides an overview of the research work of Martin Kneser on the arithmetic theory of quadratic forms and algebraic groups, focusing on...
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Celebrating Loday’s associahedron
We survey Jean-Louis Loday’s vertex description of the associahedron, and its far reaching influence in combinatorics, discrete geometry, and...
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On the works of Avi Wigderson
This is an overview of some of the works of Avi Wigderson, 2021 Abel prize laureate. Wigderson’s contributions span many fields of computer science...
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An Elementary Analog of the Operator Method in Additive Combinatorics
AbstractThis paper provides an elementary proof of inequalities previously obtained by the operator method and having applications in additive...
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Generating Functions and Analytic Combinatorics
This book is concerned with the study of sequences and their generating functions.
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Grothendieck: A Short Guide to His Mathematical and Philosophical Work (1949–1991)
We present a short survey of Grothendieck’s “known” work (1949–1991), before his seclusion in the Pyrenees (1991–2014). Three main periods are...
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The Newton polytope and Lorentzian property of chromatic symmetric functions
Chromatic symmetric functions are well-studied symmetric functions in algebraic combinatorics that generalize the chromatic polynomial and are...
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Punctual Dimension of Algebraic Structures in Certain Classes
AbstractPunctual presentations of algebraic structures in several familiar classes are studied. It is proved that the punctual dimension of punctual...
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Compact Torus Action on the Complex Grassmann Manifolds
We survey recent achievements in the theory of the canonical action of the compact torus on the complex Grassmann manifolds. The fundamental problem...
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The research and progress of the enumeration of lattice paths
The enumeration of lattice paths is an important counting model in enumerative combinatorics. Because it can provide powerful methods and technical...
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List of Publications for László Lovász
[1] On graphs not containing independent circuits. Mat. Lapok, 16:289–299 (in Hungarian).
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Generalizations of Stirling-like and Bell-like Numbers
Stirling and Bell numbers play a fundamental role in enumerative combinatorics, they count, among others, partitions of a finite set. We give a...
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Intersection theoretic inequalities via Lorentzian polynomials
We explore the applications of Lorentzian polynomials to the fields of algebraic geometry, analytic geometry and convex geometry. In particular, we...
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Historical steps of development of convexity as a field
In this chapter we will show historical steps of the development of convexity as a field and, in addition, developments of the relations between...