Tao Mei, Ph.D.
Professor of Mathematics
Mathematics
Dr. Mei joined the Baylor faculty Aug. 2015. Prior to coming to Baylor he taught at Wayne State University (2010-2015) and the University of Illinois at Urbana-Champaign (2006-2010). He obtained his Ph.D. at Texas A&M University in 2006 under the supervision of Gilles Pisier. Dr. Mei's main research interests are in analysis and probability. His research is currently supported by NSF awards DMS-2247123.
Seminars/Conferences
Virtual Noncommutative Analysis Weekly Seminar
An international online seminar in noncommutative analysis and probability.
Brazos Analysis seminar (NSF DMS-2400113)
A regional seminar rotating at Baylor, TCU, Texas A&M, U. of Houston, and UT Austin.
Rondom Matrices and Free Probability Learning Seminar.
Quantum Information Theory Learning Seminar.
Baylor Analysis Seminar
Students and Postdocs
Chian Y. Chuah, PhD. student, graduated 2022
Zhen C. Liu, PhD student, graduated 2023
Sebastian Vargas Loaiza, PhD student, Fall 2023-
Ismael Cano Marmol, postdoc 2023-
open position: Research assistantship for undergraduates
Former undergraduate research assistants: Zifei Li (Fall 2021), Doreen Euler (Spring and Fall 2022), Hunter Hundley (Spring 2023), Matthew Freeman (Spring 2024).
Recent Publications
C. Chuah, Z. Liu, T. Mei, A Marcinkiewicz multiplier theory for Schur multipliers, Analysis & PDE, to appear.
C. Chuah, Z. Liu, T. Mei, A Direct Proof of Hardy-Littlewood Maximal Inequality for Operator-valued Functions, Pure Appl. Funct. Anal. 9 (2024), no. 4, 1009–1021.
C. Chuah, Z. Liu, T. Mei, Characterization of positive definite, radial functions on free groups, Proc. Amer. Math. Soc. Ser. B 10 (2023), 168-181.
T. Mei and E. Ricard, Q. Xu, A Mikhlin multiplier theory for free groups and amalgamated free products of von Neumann algebras. Adv. in Math., 403 (2022), Paper No. 108394, 32 pp.
C. Chuah, Y. Han, Z. Liu, T. Mei, Paley’s Inequality for Discrete Groups. J. Fourier Anal. Appl. 28 (2022), no. 5, Paper No. 77.
M. Junge, T. Mei, J. Parcet and R. Xia, Algebraic Calderon-Zygmund theory, Adv. in Math., (2021), Paper No. 107443, 72pp.
Guixiang Hong, Tao Mei, and Honghai Liu. An operator-valued T1 theory for symmetric CZOs, Journal of Functional Analysis, 278 (2020), no. 7, 108420, 27 pp.
C. Chuah, F. Gesztesy, L, Littlejohn, T. Mei, I. Michael, M. Pang, On weighted Hardy-type inequalities. Math. Inequal. Appl. 23 (2020), no. 2, 625-646.
T. Mei and Q. Xu, Some Fourier multipliers on free groups, Science China Mathematics, 49 (2019): 1655-1662.
T. Ferguson, T. Mei, B. Simanek, H∞-calculus for semigroup generators on BMO, Adv. in Math., 347 (2019), 408-441.
M. Junge, T. Mei and J. Parcet, Noncommutative Riesz transforms- a dimension free estimate, Journal of European Math. Society, 20 (2018), 529-595.
T. Mei, E. Ricard, Free Hilbert transforms, Duke Mathematical Journal , 166 (2017), no. 11, 2153-2182.
T. Mei, M. de la Salle, Complete boundedness of Heat Semigroups on the von Neumann Algebra of hyperbolic groups, Transactions of the American Math. Society, 369 (2017), no. 8, 5601-5622.
J. M. Conde, T. Mei and J. Parcet, “Large BMO spaces vs interpolation”, Analysis & PDE, 8 (2015), 713-747.
M. Junge, T. Mei and J. Parcet, “Smooth Fourier Multipliers on Group von Neumann Algebras”, Geometric and Functional Analysis, 24 (2014), 1913-1980.
M. Junge, T. Mei, and J. Parcet, An invitation to harmonic analysis associated with semigroups of operators, Contemporary Mathematics, 612 (2014), 107-122.
G. X. Hong, T. Mei,; John-Nirenberg inequality and atomic decomposition for noncommutative martingales. Journal of Functional Analysis, 263 (2012), no. 4, 1064-1097.
M. Junge, T. Mei, “BMO spaces Associated with Semigroups of Operators”, Math. Ann., 2012, Volume 352, Number 3, 691-743.
Preprint
C. Chuah, Z Liu, T. Mei, “ Khintchine Inequalities and Z2 Sets”, preprint, arXiv:2503.03187.
T. Mei, “Λp-property for Separated Branches of Hyperbolic Groups”, preprint, arXiv:2408.10949.
T. Mei, “An H1-BMO duality theory for semigroups of operators”, arXiv:1204.5082.
A. Ismael Cano, T. Mei, “Lifting property of H1-Fourier Multipliers”, preprint.
Recent Invited Lectures
May. 2025, Functional Analysis Seminar, UCSD
Mar. 2025, Quantum Information & Analysis Seminar, U of South Carolina.
Feb. 2024, Noncommutative Geometry, Analysis on Groups, and Mathematical Physics, Ghent University.
Aug. 2023, Non-Commutative Harmonic Analysis and Rigidity of Operator Algebras, Delft, Netherland.
July, 2023, SUMIRFAS 2023, Texas A&M, College station.
Apr. 2023, Analysis seminar, Quantum Symmetry seminar, Ohio State Univ., Columbus.
Nov. 2022, Wabash Mini Conference 2022; IUPUI, Indianapolis.
July 2022, Glasgow Analysis Seminar, U. of Glasgow, UK
May 2022, Great Plains Operator Theory Symposium 2022; Washington University in St. Louis
April 2022, 85th Midwest PDE Seminar; Baylor University
March 2022, Inverse Problem and Analysis seminar, U. of Delaware
Dec. 2021, Analysis Seminar, University of Wisconsin (Madison).
Oct. 2021, International Seminar Series on "Harmonic Analysis & Applications", Video
Oct. 2021, Analysis Seminar, University of Houston.
Apr. 2021, Albany Analysis Seminar
Mar. 2020, Probabilistic Operator Algebra Seminar, Lp Fourier Multipliers and Singular Integrals on group von Neumann algebras ( on Zoom), UC Berkeley.
Dec. 2019, Mini course lecturer, NCM Workshop in Harmonic Analysis, IISER Bhopal, India.
May 2018, Plenary speaker, ``Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information", Oberwolfach, Germany.
May 2017, Plenary speaker at ``International workshop on Probability method in Harmonic analysis", Wuhan, China.
May 2016, semi-Plenary speaker at 36th Great Plains Operator Theory Symposium, University of Illinois at Urbana-Champaign, IL.
Oct. 2014, Plenary speaker at ``Functional calculus and Harmonic analysis of semigroups" workshop, Besan\c con, France.
June 2013, Plenary speaker, ``Workshop on Operator Spaces, Harmonic Analysis and Quantum Probability", ICMAT, Madrid.