معرفی
Jozsef Balogh is a Professor in the Department of Mathematics at the University of Illinois, holding the J. Andrew and Susan Langan Scholar title. He is affiliated with the College of Liberal Arts & Sciences and focuses on Combinatorics, Graph Theory, and related areas. His research emphasizes extremal combinatorics, additive combinatorics, and the development of the container method for hypergraphs, which has applications in Ramsey theory and theoretical computer science.
Education: Ph.D. in Mathematics from the University of Memphis (2001). He has held prestigious fellowships including the Simons Fellowship (2013–2014) and Marie Curie Fellowship (2013–2017), and received the George Pólya Prize in Combinatorics (2016) from SIAM. His NSF CAREER Award (2008–2013) supported work in modern combinatorics.
Research highlights include resolving conjectures on maximal triangle-free graphs, maximal sum-free sets, and union-free sets using the container theorem. His work bridges probabilistic methods and combinatorial structures, influencing areas like discrete geometry and algorithm design. Recent publications address extremal graph problems, Ramsey-type tilings, and probabilistic thresholds in combinatorial systems.
Awards and grants reflect his impactful contributions, while his advising and mentorship are central to his academic role. Ongoing research focuses on expanding applications of container methods and exploring new frontiers in extremal combinatorics.
