Biography
Isaac Goldbring is a Professor in the Department of Mathematics at the University of California, Irvine, a position he has held since July 2022. Goldbring completed his Ph.D. in Mathematics at the University of Illinois at Urbana-Champaign in 2009, where his dissertation focused on nonstandard methods in Lie theory under the supervision of Lou van den Dries. Prior to his current role, he was an Associate Professor at UC Irvine from 2018 to 2022 and previously held positions at the University of Illinois at Chicago and the University of California, Los Angeles.
Goldbring's research encompasses a variety of areas in mathematics, including model theory, nonstandard analysis, continuous logic, Lie theory, geometric group theory, and operator algebras. He has published extensively, contributing over 70 peer-reviewed articles to journals such as the Journal of Symbolic Logic and Advances in Mathematics. His work has been recognized with several grants from the National Science Foundation, including a CAREER grant. Goldbring received the Gerald Sacks Prize for the best dissertation in mathematical logic worldwide in 2009, an accolade that highlights his early contributions to the field.
In addition to his research, Goldbring is actively involved in teaching and mentoring at UC Irvine. He teaches a range of courses, including Model Theory, Complex Analysis, and Real Analysis, for both undergraduate and graduate students. Goldbring also serves the academic community through his editorial work as the Editor-in-Chief of the Journal of Logic and Analysis and his involvement in organizing conferences and workshops, such as the North American Annual Meeting of the Association of Symbolic Logic. His professional service extends to reviewing for various mathematics journals and participating in several mathematical societies, including the Association for Symbolic Logic and the American Mathematical Society.
Return to topEducation
- Ph.D. in Mathematics, University of Illinois at Urbana-Champaign, 2009
- B.S. in Mathematics, University of California, Los Angeles, 2004
- M.A. in Mathematics, University of California, Los Angeles, 2004
Distinctions
- Gerald Sacks Prize for best dissertation in mathematical logic worldwide, 2009
- Robert Sorgenfrey Distinguished Teaching Award, UCLA Department of Mathematics, 2012
- Invited participant of Banff International Research Station workshop 'Classification Problems in von Neumann algebras', 2019
- Scott Dissertation Completion Fellowship, 2008-2009
- American Institute of Mathematics, Accepted Workshop Proposal; project title: Nonstandard methods in combinatorial number theory and Ramsey theory, 2016
- Irving Reiner Memorial Award in Algebra, University of Illinois at Urbana-Champaign, 2008
- National Science Foundation CAREER Grant, 2014-2019
- Arnold O. Beckman Research Award Research Assistantship, 2008
- Daus Prize in Mathematics, UCLA, 2004
- National Science Foundation VIGRE Fellowship, University of Illinois at Urbana-Champaign, 2004-2006
Areas of Expertise
- Mathematical Logic
- Model Theory
- Nonstandard Analysis
- Operator Algebras
- Geometric Group Theory
- Quantum Complexity
- Lie Theory
- Continuous Logic
- Combinatorial Number Theory
- Geometric Group Theory
Recent Publications
- “A non-uniformly inner amenable group” (opens in new tab), Journal of Algebra, vol. 653, pp. 102-108, 2024.
- Fox A., Goldbring I., Hart B., “Locally universal C<sup>⁎</sup>-algebras with computable presentations” (opens in new tab), Journal of Functional Analysis, vol. 287, 2024.
- Goldbring I., Hart B., “THE UNIVERSAL THEORY of the HYPERFINITE II FACTOR IS NOT COMPUTABLE” (opens in new tab), Bulletin of Symbolic Logic, vol. 30, pp. 181-198, 2024.
- Arulseelan J., Goldbring I., Hart B., “THE UNDECIDABILITY OF HAVING THE QWEP” (opens in new tab), Journal of Operator Theory, vol. 92, pp. 349-362, 2024.
- Goldbring I., Jekel D., Elayavalli S.K., Pi J., “Uniformly super McDuff II1 factors” (opens in new tab), Mathematische Annalen, 2024.
- “Model theory and ultrapower embedding problems in operator algebras” (opens in new tab), Model theory and operator algebras, De Gruyter’s Logic and its Applications series, vol. 11, 2023.
- Bradd Hart, “A survey on the model theory of tracial von Neumann algebras” (opens in new tab), Model theory and operator algebras, De Gruyter’s Logic and its Applications series, vol. 11, 2023.
- “Spectral gap and definability” (opens in new tab), Beyond First Order Model Theory Volume 2, CRC Press, 2023.
- Itaï Ben Yaacov, “Unitary representations of locally compact groups as metric structures” (opens in new tab), Notre Dame Journal of Formal Logic, vol. 64, pp. 159-172, 2023.
- “Non-embeddable II_1 factors resembling the hyperfinite II_1 factor” (opens in new tab), Journal of noncommutative geometry, vol. 17, pp. 233-239, 2023.
- Bradd Hart, “On Tsirelson pairs of C*-algebras” (opens in new tab), Reviews in Mathematical Physics, vol. 35, pp. Article No. 2350016, 2023.
- Caleb Camrud, Timothy McNicholl, “On the complexity of the theory of a computably presented metric structure” (opens in new tab), Archive for Mathematical Logic, vol. 62, pp. 1111-1129, 2023.
- Srivatsav Kunnawalkam Elayavalli, Yash Lodha, “Generic algebraic properties in spaces of enumerated groups” (opens in new tab), Transactions of the American Mathematical Society, vol. 376, pp. 6245-6282, 2023.
- Ryan Burkhart, “Subsets of virtually nilpotent groups with the SBM property” (opens in new tab), Journal of Algebraic Combinatorics, vol. 58, pp. 837-866, 2023.
- “Model theory of operator algebras” (opens in new tab), DeGruyter’s Logic and its application series, vol. 11, 2023.
- Scott Atkinson, Srivatsav Kunnawalkam Elayavalli, “Factorial commutants and II_1 factors with the generalized Jung property” (opens in new tab), Advances in Mathematics, vol. 396, pp. Paper No. 108107, 2022.
- H. Jerome Keisler, “Continuous sentences preserved under reduced products” (opens in new tab), Journal of Symbolic Logic, vol. 87, pp. 649-681, 2022.
- Cyril Houdayer, “Existentially closed W*-probability spaces” (opens in new tab), Mathematische Zeitschrift, vol. 301, pp. 3787-3816, 2022.
- “The Connes Embedding Problem: a guided tour” (opens in new tab), Bulletin of the American Mathematical Society, vol. 59, pp. 503-560, 2022.
- Jeffrey Barrett, “Everettian mechanics with hyperfinitely many worlds” (opens in new tab), Erkenntnis, 2022.
Most Cited Publications
- Thomas Sinclair, “On Kirchberg’s embedding problem” (opens in new tab), Journal of Functional Analysis, vol. 269, pp. 155-198, 2015.
- “Hilbert’s fifth problem for local groups” (opens in new tab), Annals of Mathematics, vol. 172, pp. 1269-1314, 2010.
- Ilijas Farah, Bradd Hart, David Sherman, “Existentially closed II_1 factors” (opens in new tab), Fundamenta Mathematicae, vol. 233, pp. 173-196, 2016.
- Bradd Hart, Thomas Sinclair, “The theory of tracial von Neumann algebras does not have a model companion” (opens in new tab), Journal of Symbolic Logic, vol. 78, pp. 1000-1004, 2013.
- Bradd Hart, “On the theories of McDuff’s II_1 factors” (opens in new tab), International Mathematics Research Notices, vol. 27, no. 18, pp. 5609-5628, 2017.
- Clifton Ealy, “Thorn-forking in continuous logic” (opens in new tab), Journal of Symbolic Logic, vol. 77, pp. 63-93, 2012.
- “Enforceable operator algebras” (opens in new tab), Journal of the Institute of Mathematics of Jussieu, vol. 20, pp. 31-63, 2021.
- Mauro Di Nasso, Martino Lupini, “Nonstandard methods in Ramsey theory and combinatorial number theory”, Lecture Notes in Mathematics, Springer-Verlag, vol. 2239, 2019.
- Christopher Eagle, Alessandro Vignati, “The pseudoarc is a co-existentially closed continuum” (opens in new tab), Topology and its applications, vol. 207, pp. 1-9, 2016.
- Thomas Sinclair, “Omitting types in operator systems” (opens in new tab), Indiana University Mathematics Journal, vol. 66, pp. 821-844, 2017.
Contact Information
Website: http://www.math.uci.edu/~isaac
Email: isaac@math.uci.edu
Phone: (949) 824-5500
Address: 340 Rowland Hall (Bldg. #400) Irvine, CA 92697-3875
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Last updated on 2/14/2025.