Thomas Sinclair

PhD, Mathematics, Vanderbilt University, 2011
BS, Mathematics, IUPUI, 2006

Assistant Professor | Mathematics Department | Purdue University | West Lafayette, IN
MATH 744 | tsincla @ purdue.edu | 7654941901 (math main office) | 7654940548 (fax)

My math genealogy. Family photo. My pages on MathSciNet and Google Scholar.

I am coordinating the Virginia Tech Regional Math Contest at Purdue. The contest will be held Saturday, October 26, 2019.
Send me an email if you would like to participate.

Check out the Purdue Operator Algebras Seminar.

My research is currently partially supported by NSF grant DMS-1600857.

Teaching

Spring 2020, Math 490, Collaborative Problem Solving
Fall 2019, Math 598, Mathematics of Quantum Information Theory
Fall 2019, Math 261, Multivariate Calculus
Spring 2019, Math 341, Foundations of Analysis
Spring 2019, Math 490, Collaborative Problem Solving
Fall 2018, Math 261, Multivariate Calculus
Spring 2018, Math 490, Collaborative Problem Solving
Spring 2018, Math 546, Functional Analysis
Fall 2017, Math 351, Linear Algebra
Spring 2017, Math 693, Introduction to K-Theory
Fall 2016, Math 341, Foundations of Analysis
Spring 2016, Von Neumann Algebras
Fall 2015, Math 266

Research Interests

Von Neumann Algebras
Ergodic Theory
Geometric Group Theory
Model Theory of Metric Structures

Publications

You can find all of my publications/preprints in their current versions on the arXiv.

Strong solidity of group factors from lattices in SO(n,1) and SU(n,1), J. Funct. Anal. 260 (2011), no. 11, 3209-3221. article.
w/ Jesse Peterson, On cocycle superrigidity for Gaussian actions, Ergodic Theory Dynam. Systems 32 (2012), 249-272. pdf. article.
w/ Ionuţ Chifan, On the structural theory of II₁ factors of negatively curved groups, Ann. Sci. Éc. Norm. Supér. 46 (2013), 1-33. arXiv. article.
w/ Ionuţ Chifan and Bogdan Udrea, On the structural theory of II₁ factors of negatively curved groups, II, Adv. Math. 245 (2013), 208-236. arXiv. article.
w/ Isaac Goldbring and Bradd Hart, The theory of tracial von Neumann algebras does not have a model companion, J. Symbolic Logic 78 (2013), 1000-1004. arXiv. article.
w/ Ionuţ Chifan, On the ergodic theorem for affine actions on Hilbert space, Bull. Belgian Math. Soc. 22 (2015), 429-446.arXiv.
w/ Isaac Goldbring, On Kirchberg's embedding problem, J. Funct. Anal. 269 (2015), 155-198 arXiv. article.
w/ Isaac Goldbring, Games and elementary equivalence of II₁ factors, Pacific J. Math. 278 (2015) 103-118. arXiv. article.
w/ Ionuţ Chifan and Bogdan Udrea, Inner amenability for groups and central sequences in factors, Ergodic Theory Dynam. Systems, 36 (2016) 1106-1129. arXiv. article.
w/ Rolando de Santiago and Ionuţ Chifan, W*-rigidity for von Neumann algebras of products of hyperbolic groups, Geom. Funct. Anal. 26 (2016) 136-159. arXiv. article.
w/ Isaac Goldbring, Omitting types in operator systems, Indiana Univ. Math. J. 66 (2017) 821-844. arXiv. article.
CP-stability and the local lifting property, New York J. Math. 23 (2017) 739-747. arXiv. article.
w/ Isaac Goldbring, Robinson forcing and the quasidiagonality problem, Internat. J. Math., 28 (2017) Article 175008. arXiv. article.
w/ Isaac Goldbring, On the axiomatizability of C*-algebras as operator systems, Glasg. Math. J., 61 (2019). arXiv. article.
w/ Isaac Goldbring and Bradd Hart, Correspondences, ultraproducts and model theory, preprint. arXiv. submitted.
w/ Rolando de Santiago, Ben Hayes, and Daniel J. Hoff, Maximal rigid subalgebras of deformations and L²-cohomology. arXiv. submitted.
w/ Ben Hayes, David Jekel, and Brent Nelson, A random matrix approach to absorption in free products. arXiv. submitted.
w/ Roy Araiza and Adam Dor-On, Tensor products, matrix convex sets, and noncommutative Choquet boundaries. in preparation.

"[E]ach bringing/ From the water in which he believed and out of desire/ Things made by mid-terrestrial, mid-human/ Makers without knowing, or intending, uses."
---Wallace Stevens, from A Completely New Set of Objects

Notes

Remark on harmonic functions of almost sublinear growth. pdf.
A very short proof of the existence of an injective envelope for an operator space. pdf.

PhD Students

Postdocs

Meng-Che (Turbo) Ho

Conferences and Workshops

Statement of Inclusiveness.

Turbo Ho, Ben McReynolds, Julia Knight, and I are organizing a special session "Group Theory and Logic" at the AMS Central Spring Sectional Meeting, Purdue University, April 4-5, 2020.
Roy Araiza and I organized the workshop "QLA meets QIT," November 14-16, 2019 at Purdue.
I co-organized the workshop "Classification of Group von Neumann Algebras" which was held at AIM January 29 - February 2, 2018.

Travel Agenda

*May 3-9, NCGOA 2019, Vanderbilt University
July 15-19, The Many Faceted Connes Embedding Problem, BIRS
September 29-October 4, Classification Problems in von Neumann Algebras, BIRS
November 9-10, Brazos Analysis Seminar, Baylor University
December 6-9, CMS Winter Meeting, Toronto
2020
March 13-15, AMS Spring Southeastern Sectional Meeting, University of Virginia
May 25-29, Canadian Operator Symposium, Fields Institute

*=participant only