Publications and pre-prints

• "On the equivalence of quasirandomness and exchangeable representations independent from lower-order variables", joint with Henry Towsner. 2024. Pre-print available here.
• "How to get the random graph with non-uniform probabilities?", joint with Jarosław Swaczyna and Agnieszka Widz. 2024. Pre-print available here.
• "High-arity PAC learning via exchangeability", joint with Maryanthe Malliaris. 2024. Pre-print available here.
• "Weak randomness in graphons and theons", joint with Maryanthe Malliaris. 2022. Pre-print available here.
• "Exact Completeness of LP Hierarchies for Linear Codes", joint with Fernando Granha Jeronimo and Chris Jones. ITCS 2023. Final version available here. Pre-print available here.
• "Left-cut-percolation and induced-Sidorenko bigraphs". SIAM J. Discrete Math., 38(2):1586–1629, 2024. Final version available here. Pre-print available here.
• "Countable Ramsey", joint with Maryanthe Malliaris. 2022. Pre-print available here.
• "A Complete Linear Programming Hierarchy for Linear Codes", joint with Fernando Granha Jeronimo and Chris Jones. ITCS 2022. Final version available here. Pre-print available here.
• "Biregularity in Sidorenko's Conjecture", joint with Alexander A. Razborov. 2021. Pre-print available here.
• "Natural quasirandomness properties", joint with Alexander A. Razborov. Random Structures & Algorithms, 63(3):624–688, 2023. Final version available here. Pre-print available here.
• "On the abstract chromatic number and its computability for finitely axiomatizable theories". J. Combin. Theory Ser. B, 154:175–210, 2022. Final version available here. Pre-print available here.
• "Tighter Bounds on the Independence Number of the Birkhoff Graph", joint with Fernando Granha Jeronimo. European Journal of Combinatorics, 105:103564, 2022. Final version availabe here. Pre-print available here.
• "Semantic limits of dense combinatorial objects", joint with Alexander A. Razborov. Russian version: Uspekhi Mat. Nauk, 75(4(454)):45-152, 2020. English version: Russian Mathematical Surveys, 75(4):627-723, aug 2020. English final version available here. English pre-print available here.
• "On the maximum density of fixed strongly connected subtournaments", joint with Roberto F. Parente and Cristiane M. Sato. Electronic Journal of Combinatorics, 26(1):Paper 1.44, 48, 2019. Final version available here. Pre-print available here.
• "Quasi-carousel tournaments". Journal of Graph Theory, 88(1):192-210, 2018. Final version available here. Pre-print available here.
• "On the density of transitive tournaments", joint with Alexander A. Razborov. Journal of Graph Theory, 85(1):12-21, 2017. Final version available here. Pre-print available here.
• "Packing densities of layered permutations and the minimum number of monotone sequences in layered permutations", joint with Josefran O. Bastos. Discrete Mathematics & Theoretical Computer Science, 18(2):Paper No. 7, 24, 2016. Pre-print available here.
• "A continuous time stochastic model for biological neural nets". 2015. Pre-print available here.

Ph.D. Dissertation

"Applications of continuous combinatorics to quasirandomness and extremal combinatorics", University of Chicago, Chicago, United States. [pdf]

Masters Dissertations

"Semantic Limits of Combinatorial Objects", University of Chicago, Chicago, United States. [pdf]

"Flag algebras and tournaments", USP, São Paulo, Brazil. [USP Digital Library (page in Portuguese)]

Last modified: Fri Jun 14 00:09:18 UTC 2024 by Leonardo