Mark Tomforde | Academic Influence

Mark Tomforde's AcademicInfluence.com Rankings

Mark Tomforde

Mathematics

#6945

World Rank

#9531

Historical Rank

Algebra

#553

World Rank

#732

Historical Rank

Measure Theory

#4750

World Rank

#5560

Historical Rank

mathematics Degrees

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Mathematics

Mark Tomforde's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Mark Tomforde Influential?

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According to Wikipedia, Mark Tomforde is an American mathematician and Professor of Mathematics at University of Colorado Colorado Springs. He works in the areas of functional analysis and algebra, and he earned his Ph.D. in mathematics at Dartmouth College in 2002. Tomforde's research interests are in operator algebras and C*-algebras, and he has made contributions to the study of graph C*-algebras and Leavitt path algebras. He was an invited speaker at the 2015 Abel Symposium, and he is a founding member of the Algebras and Rings in Colorado Springs center. He has also received several awards for his teaching and outreach efforts.

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Mark Tomforde's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Uniqueness theorems and ideal structure for Leavitt path algebras (2006) (176)
The $C^*$-Algebras of Arbitrary Graphs (2000) (142)
Tensor products of operator systems (2009) (129)
Quotients, exactness, and nuclearity in the operator system category (2010) (108)
Leavitt path algebras with coefficients in a commutative ring (2009) (99)
Vector Spaces with an Order Unit (2007) (92)
Operator system structures on ordered spaces (2009) (86)
A groupoid generalisation of Leavitt path algebras (2011) (82)
A unified approach to Exel-Laca algebras and C*-algebras associated to graphs (2001) (82)
Adding tails to $C^*$-correspondences (2002) (75)
Isomorphism and Morita equivalence of graph algebras (2008) (68)
Equiangular tight frames from complex Seidel matrices containing cube roots of unity (2008) (63)
Topological Quivers (2003) (50)
Computing K-theory and Ext for graph C*-algebras (2001) (49)
Simplicity of ultragraph algebras (2001) (43)
Reconstruction of groupoids and C*-rigidity of dynamical systems (2017) (36)
One-sided shift spaces over innite alphabets (2012) (32)
Strong shift equivalence of C*-correspondences (2005) (30)
Stability of C^*-algebras associated to graphs (2002) (29)
On the classification of nonsimple graph C*-algebras (2009) (28)
Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence (2008) (27)
The ordered K_0-group of a graph C*-algebra (2002) (25)
Ideals in Graph Algebras (2012) (24)
INDEX MAPS IN THE K-THEORY OF GRAPH ALGEBRAS (2010) (23)
Computing $K$-theory and $\mathrm{Ext}$ for graph $C^*$-algebras (2002) (22)
A groupoid generalization of Leavitt path algebras (2011) (21)
Ultragraph C -algebras via topological quivers (2006) (21)
Classification of unital simple Leavitt path algebras of infinite graphs (2012) (16)
Frame theory for binary vector spaces (2009) (15)
C*-algebras of labeled graphs (2001) (15)
The ranges of k-theoretic invariants for nonsimple graph algebras (2012) (15)
The nuclear dimension of graph C*-algebras (2013) (13)
Real rank zero and tracial states of C*-algebras associated to graphs (2002) (12)
Ideal-related K-theory for Leavitt path algebras and graph C*-algebras (2012) (12)
Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras (2008) (11)
THE STRUCTURE OF GRAPH C*-ALGEBRAS AND THEIR GENERALIZATIONS (2006) (11)
K-theory for Leavitt path algebras: computation and classification (2014) (11)
Continuity of ring *-homomorphisms between C*-algebras (2008) (10)
Computing Ext for graph algebras (2001) (9)
Classification theorems for the C*-Algebras of graphs with sinks (2001) (9)
A class of C*-algebras that are prime but not primitive (2013) (8)
Naimark's problem for graph C*-algebras (2017) (7)
The extension problem for graph C∗-algebras (2018) (5)
Ext classes and embeddings for C*-algebras of graphs with sinks (2001) (5)
Strong Shift Equivalence in the C*-algebraic setting: Graphs and C*-correspondences (2005) (4)
A Universal Representation for Quantum Commuting Correlations (2021) (4)
Classification of graph algebras: A selective survey (2016) (4)
Simplicity of labeled graph algebras (2001) (2)
Identifying AF-algebras that are graph C*-algebras (2013) (2)
Matricial Archimedean order unit spaces and quantum correlations (2021) (2)
The prime spectrum and primitive ideal space of a graph C*-algebra (2014) (1)
Chaotic behavior in a forecast model (2014) (1)
COMPUTING EXT FOR GRAPH ALGEBRAS (UNABRIDGED) (2001) (0)
Research Statement – (2005) (0)
Classification of Leavitt path algebras: How to use tools from the classification of C∗-algebras in the Algebra setting (2013) (0)
Simplicity of Cuntz-Pimsner algebras (2022) (0)
HUWA-SANReg. TR 50 as a disinfectant. Investigations into its effect on unwanted bacteria in different areas of dairy factories (1998) (0)
Ideals in Graph Algebras (2013) (0)
Research Online Research Online A groupoid generalisation of Leavitt path algebras A groupoid generalisation of Leavitt path algebras (2020) (0)
Morita equivalence for graded rings (2022) (0)
A groupoid generalisation of Leavitt path algebras (2014) (0)
Contributions to the Theory of Relative Cuntz-Pimsner Algebras (2002) (0)
[Clostridia in milk - a problem for cheese making] (1997) (0)
CLASSIFICATION OF GRAPH C∗-ALGEBRAS AND LEAVITT PATH ALGEBRAS (2012) (0)

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