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 27.
Send me an email if you would like to participate. Please see this flier for more information.

Check out the Purdue Operator Algebras Seminar.

I co-organized the workshop "Classification of Group von Neumann Algebras" which was held at AIM January 29 - February 2, 2018.

Statement of Inclusiveness.

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

Teaching

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/ 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/ 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/ 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/ 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, On the axiomatizability of C*-algebras as operator systems, Glasg. Math. J., to appear. arXiv.
w/ Isaac Goldbring, Robinson forcing and the quasidiagonality problem, Internat. J. Math., 28 (2017) Article 175008. arXiv. article.
w/ Isaac Goldbring and Bradd Hart, Correspondences, ultraproducts and model theory, preprint. arXiv.

"[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

Travel Agenda

January 29-February 2, Classification of Group von Neumann Algebras, AIM, San Jose
*March 8-10, Latinx in Mathematics 2018, IPAM UCLA
April 3, Operator Theory Seminar, University of Virginia
April 14-15, AMS Sectional Meeting, Vanderbilt University
April 28, OHIO Conference, Ohio State University
April 30-May 5, Approximation Properties in Operator Algebras and Ergodic Theory, IPAM, UCLA
May 14-19, NCGOA 2018, University of Munster
*May 29-June 2, GPOTS, Miami University
*September 15-16, Wabash Mini-Conference, IUPUI
September 21, Colloquium, Indiana University
November 25-30, Model Theory and Operator Algebras, BIRS
September 29-October 4, Classification Problems in von Neumann Algebras, BIRS

*=participant only