معرفی
Isaac M. Goldbring is a Professor in the Department of Mathematics at the University of California, Irvine (UCI), with a courtesy appointment in the Department of Logic and Philosophy of Science. He holds a Ph.D. from the University of Illinois at Urbana-Champaign (2009) and a B.S./M.A. from UCLA (2004). His research spans model theory, operator algebras, and nonstandard analysis, with applications to combinatorics, quantum complexity, and geometric group theory. He is Editor-in-Chief of the Journal of Logic and Analysis and has led major NSF-funded projects, including work on model theory and quantum complexity.
Education:
- Ph.D., Mathematics, University of Illinois at Urbana-Champaign (2009)
- B.S. & M.A., Mathematics, University of California, Los Angeles (2004)
Research interests include continuous model theory, tracial von Neumann algebras, and applications of nonstandard methods to Ramsey theory and combinatorial number theory. He has organized conferences like the 2023 North American Annual Meeting of the Association for Symbolic Logic and delivered keynotes globally, including at the Mathematical Congress of the Americas and Oberwolfach workshops.
Scientific awards include the Gerald Sacks Prize (2009) and Robert Sorgenfrey Teaching Award (2012). He advises five current students and has published extensively in top journals like the Annals of Mathematics and Journal of Functional Analysis. His teaching spans advanced topics in logic, analysis, and topology, reflecting his commitment to both research and education.
Grants:
- NSF Grant DMS-2054477 (2021-2024) on Model Theory, Quantum Complexity, and Operator Algebras
- NSF CAREER Grant (2014-2019)
He is part of UCI’s Logic and Foundations group and collaborates internationally with institutions like the Fields Institute and the Banff International Research Station. His work bridges foundational mathematics with cutting-edge areas like quantum information theory and geometric group theory.
