A Journey Through Discrete Mathematics

Simplex Range Searching and Its Variants: A Review: Pankaj K. Agarwal.- Fair Representation by Independent Sets: Ron Aharoni, Noga Alon, Eli Berger, Maria Chudnovsky, Dani Kotlar, Martin Loebl, and Ran Ziv.- Computing Heegaard Genus Is NP-Hard: David Bachman, Ryan Derby-Talbot, and Eric Sedgwick.- Approximation-Friendly Discrepancy Rounding: Nikhil Bansal and Viswanath Nagarajan.- A Tverberg Type Theorem for Matroids: Imre Barany, Gil Kalai, Roy Meshulam.- Gershgorin Disks for Multiple Eigenvalues of Non-Negative Matrices: Imre Barany and Jozsef Solymosi.- Computing the Partition Function of a Polynomial on the Boolean Cube: Alexander Barvinok.- Siegel's Lemma Is Sharp: Jozsef Beck.- On Codimension One Embedding of Simplicial Complexes: Anders Bjorner and Afshin Goodarzi.- Around Brouwer's Fixed Point Theorem: Anders Bjorner, Jiri Matousek, and Gunter M. Ziegler.- Beyond the Borsuk-Ulam Theorem: The Topological Tverberg Story: Pavle V. M. Blagojevic and Gunter M. Ziegler.- One-Sided Epsilon-Approximants: Boris Bukh and Gabriel Nivasch.- A Note on Induced Ramsey Numbers: David Conlon, Domingos Dellamonica Jr., Steven La Fleur, Vojtech Rodl, and Mathias Schacht.- ARRIVAL: A Zero-Player Graph Game in NP coNP: Jerome Dohrau, Bernd Gartner, Manuel Kohler, Jiri Matousek, and Emo Welzl.- Constant-Factor Approximation for TSP with Disks: Adrian Dumitrescu, and Csaba D. Toth.- Transport-Entropy Inequalities and Curvature in Discrete-State Markov Chains: Ronen Eldan, James R. Lee, and Joseph Lehec.- Bounding Helly Numbers Via Betti Numbers: Xavier Goaoc, Pavel Patak, Zuzana Patakova, Martin Tancer, and Uli Wagner.- Ruled Surface Theory and Incidence Geometry: Larry Guth.- Approximating the k-Level in Three-Dimensional Plane Arrangements: Sariel Har-Peled, Haim Kaplan, and Micha Sharir.- Schrijver Graphs and Projective Quadrangulations: Tomas Kaiser and Matej Stehlik.- Near-Optimal Lower Bounds for nets for Halfspaces and Low Complexity Set Systems: Andrey Kupavskii, Nabil H. Mustafa, and Janos Pach.- Random Simplicial Complexes - Around the Phase Transition: Nathan Linial and Yuval Peled.- Nullspace Embeddings for Outerplanar Graphs: Laszlo Lovasz and Alexander Schrijver.- Homology of Spaces of Directed Paths in Euclidean Pattern Spaces: Roy Meshulam and Martin Raussen.- Sperner's Colorings and Optimal Partitioning of the Simplex: Maryam Mirzakhani and Jan Vondrak.- Teaching and Compressing for Low VC-Dimension: Shay Moran, Amir Shpilka, Avi Wigderson, and Amir Yehudayo.- Restricted Invertibility Revisited: Assaf Naor and Pierre Youssef.- Rational Polygons: Odd Compression Ratio and Odd Plane Coverings: Rom Pinchasi and Yuri Rabinovich.- First Order Probabilities for Galton{Watson Trees: Moumanti Podder and Joel Spencer.- Crossing-Free Perfect Matchings in Wheel Point Sets: Andres J. Ruiz-Vargas and Emo Welzl.- Network Essence: Page Rank Completion and Centrality-Conforming Markov Chains: Shang-Hua Teng.- Anti-Concentration Inequalities for Polynomials: Van Vu.