There are four problems in the Olympiad covering geometry, number theory, algebra, and combinatorics
Zeta and L-functions in Number Theory and Combinatorics
Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics
and graph theory.
Cheriton School of Computer Science and the Department of Combinatorics
and Optimization at Waterloo's Faculty of Mathematics.
A pair ([B.sup.1], [B.sup.2]) of reduced plane curves in P2 is said to be a Zariski pair if (i) both [B.sup.1] and [B.sup.2] have the same combinatorics
and (ii) ([P.sup.2], [B.sup.1]) is not homeomorphic to ([P.sup.2], [B.sup.2]) (see  for details about Zariski pairs).
Contestants wrestle with three complex math problems for 4.5 hours each over two days, covering number theory, combinatorics
, geometry and algebra (polynomials, inequalities, functional equations).
This year's volume places particular emphasis on finite dimensional algebras and cluster combinatorics
and includes both five main talks and four that were invited to submit papers for publication.
His primary focuses are in harmonic analysis, PDE, geometric combinatorics
, arithmetic combinatorics
, analytic number theory, compressed sensing, and algebraic combinatorics
Kenyon; 'Hyperbolicity and stable polynomials in combinatorics
and probability' by Robin Permantle; and 'Introduction to KPZ' by Jeremy Quastel.
The interplay between algebraic combinatorics
and quantum field theory (QFT) has become more and more present within the spectrum of Combinatorial Physics (spectrum represented by many other subjects, such as the combinatorics
of quantum mechanics, of statistical physics or of integrable systems--see, for example, Blasiak and Flajolet (2011), Blasiak et al.
Through the online classes that are part of his San Francisco State University-Colombia Combinatorics
Initiative, Ardila brings together mathematics students from SFSU; the University of California, Berkeley; and Universidad de Los Andes in Bogota, Colombia.