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Mark TomfordeView profile

Associate Professor

• Functional Analysis
• Operator Algebras
• C*-algebras
• +6 more

Mark Tomforde is an Associate Professor in the Department of Mathematics at the University of Colorado Colorado Springs (UCCS), part of the College of Letters, Arts & Sciences. His research focuses on Functional Analysis, Operator Algebras, and the interplay between algebraic and analytic structures in mathematics. He holds a Ph.D. in Mathematics from Dartmouth College (2002), an M.A. from Dartmouth (1999), and a B.A. from Gustavus Adolphus College (1997). Tomforde's research interests include C*-algebras, K-theory, graph C*-algebras, Leavitt Path Algebras, and Morita Equivalence. His work bridges algebraic concepts like rings and modules with analytic frameworks such as operator algebras, emphasizing structural classifications and invariants. His recent publications (2020–2025) explore themes like Naimark's Problem in graph C*-algebras, Morita equivalence for graded rings, and quantum correlations in operator systems. These contributions highlight advancements in classification theorems, K-theoretic applications, and interdisciplinary connections between algebra and analysis. No scientific awards are listed, though his extensive publication record reflects sustained academic engagement. Tomforde's teaching and advising roles are not detailed in the provided materials.

• Functional Analysis
• Operator Theory
• Harmonic Analysis
• +7 more

MARIA CARMEN FERNANDEZ ROSELL is a Professor in the Department of Mathematical Analysis at the Faculty of Mathematics, University of Valencia. She is a member of the ESALDI research group (Spaces and Algebras of Differentiable Functions), focusing on functional analysis, operator theory, and time-frequency analysis, with significant interdisciplinary contributions in Bayesian statistics and econometrics. Her research spans Functional Analysis , Operator Theory , Harmonic Analysis , and Bayesian Modeling . She investigates ultradifferentiable functions, pseudodifferential operators, composition operators on function spaces, and time-frequency localization. Her statistical work includes Bayesian inference for fat tails, skewness, model averaging, and spatial modeling, often in collaboration with prominent statisticians like Mark F. J. Steel and Peter J. Green. The most recent publications highlight her expertise in composition operators on Gelfand-Shilov classes, spectral analysis, and characterizations of function spaces via harmonic oscillators. Her work bridges pure mathematical analysis with applied statistical modeling, particularly in econometrics and biological systems. On Bayesian modeling of fat tails and skewness (1998) Benchmark priors for Bayesian model averaging (2001) Annihilating sets for the short time Fourier transform (2010) Dynamics and spectra of composition operators on the Schwartz space (2018) She has supervised doctoral research, including Dr. Manuel Valdivia Ureña. Her work is supported by extensive collaborations, particularly with Antonio Galbis, José Bonet, and Mark F. J. Steel. She has contributed to major journals such as the Journal of Mathematical Analysis and Applications, Journal of Econometrics, and The Journal of Fourier Analysis and Applications. She is active in the research group ESALDI, which focuses on the theory of spaces and algebras of differentiable functions, exploring structural properties, duality, and applications to partial differential equations and signal analysis.