Thomas Banchoff
#19,959
Most Influential Person Now
American mathematician
Thomas Banchoff's AcademicInfluence.com Rankings
Thomas Banchoffmathematics Degrees
Mathematics
#1054
World Rank
#1807
Historical Rank
#458
USA Rank
Measure Theory
#2354
World Rank
#2815
Historical Rank
#667
USA Rank
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Mathematics
Thomas Banchoff's Degrees
- PhD Mathematics University of California, Berkeley
- Bachelors Mathematics Princeton University
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Why Is Thomas Banchoff Influential?
(Suggest an Edit or Addition)According to Wikipedia, Thomas Francis Banchoff is an American mathematician specializing in geometry. He is a professor at Brown University, where he has taught since 1967. He is known for his research in differential geometry in three and four dimensions, for his efforts to develop methods of computer graphics in the early 1990s, and most recently for his pioneering work in methods of undergraduate education utilizing online resources.
Thomas Banchoff'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
- Differential Geometry of Curves and Surfaces (2010) (1060)
- The Politics of the (2002) (610)
- CRITICAL POINTS AND CURVATURE FOR EMBEDDED POLYHEDRA (1967) (243)
- Critical Points and Curvature for Embedded Polyhedral Surfaces (1970) (218)
- German Identity and European Integration (1999) (134)
- Legitimacy and the European Union: The Contested Polity (1999) (126)
- Cusps of Gauss mappings (1982) (115)
- Institutions, Inertia and European Union Research Policy (2002) (115)
- The 9-vertex complex projective plane (1983) (92)
- Triple points and surgery of immersed surfaces (1974) (90)
- Democracy and the new religious pluralism (2007) (78)
- A generalization of the isoperimetric inequality (1971) (77)
- Path Dependence and Value-Driven Issues: The Comparative Politics of Stem Cell Research (2005) (66)
- Religious pluralism, globalization, and world politics (2008) (64)
- The spherical two-piece property and tight surfaces in spheres (1970) (57)
- The German Problem Transformed: Institutions, Politics, and Foreign Policy, 1945-1995 (1999) (57)
- Tightly Embedded 2-Dimensional Polyhedral Manifolds (1965) (56)
- Beyond The Third Dimension (1990) (55)
- German policy towards the European union: The effects of historical memory (1997) (52)
- Linear Algebra Through Geometry (1984) (37)
- Tight Submanifolds, Smooth and Polyhedral (1997) (32)
- Religion and the Global Politics of Human Rights (2011) (30)
- On the Geometry of Piecewise Circular Curves (1994) (27)
- The behaviour of the total twist and self-linking number of a closed space curve under inversions. (1975) (27)
- Tight polyhedral Klein bottles, projective planes, and Möbius bands (1974) (24)
- The two-piece property and tight -manifolds-with-boundary in ⁿ (1971) (24)
- Topology and mechanics with computer graphics (1986) (23)
- Counting tritangent planes of space curves (1985) (20)
- Equilibrium triangulations of the complex projective plane (1992) (20)
- Double tangency theorems for pairs of submanifolds (1981) (19)
- Global geometry of polygons. I: The theorem of Fabricius-Bjerre (1974) (17)
- Triple points and singularities of projections of smoothly immersed surfaces (1974) (17)
- Geometrical class and degree for surfaces in three-space (1981) (17)
- Global theorems for symmetry sets of smooth curves and polygons in the plane (1987) (16)
- Tangential and normal Euler numbers, complex points, and singularities of projections for oriented surfaces in four-space (1993) (15)
- Embryo Politics: Ethics and Policy in Atlantic Democracies (2011) (15)
- Immersions and Mod-2 Quadratic Forms (1977) (13)
- Height functions on surfaces with three critical points (1975) (12)
- The Jesuits and Globalization: Historical Legacies and Contemporary Challenges (2016) (10)
- Non-rigidity theorems for tight polyhedra (1970) (9)
- The normal Euler class and singularities of projections for polyhedral surfaces in 4-space (1998) (9)
- Art and Visualization: Oil and Water? (1998) (8)
- Introduction: Religious Pluralism in World Affairs (2008) (8)
- A combinatorial formula for normal Stiefel-Whitney classes (1979) (8)
- Flatland: An Edition with Notes and Commentary (2009) (8)
- High codimensional 0-tight maps on spheres (1971) (7)
- Whitney duality and singularities of projections (1977) (7)
- TOTAL CENTRAL CURVATURE OF CURVES (1970) (7)
- "American Religious Pluralism: Civic and Theological Discourse" in Democracy and the New Religious Pluralism edited by Thomas Banchoff (2007) (7)
- Symmetry sets of piecewise-circular curves (1993) (6)
- Immersions and \opertornameMod-2 Quadratic Forms (1977) (6)
- Interreligious Dialogue and International Relations (2012) (5)
- Salvador Dalí and the Fourth Dimension (2014) (5)
- Minimal submanifolds of the bicylinder boundary (1976) (5)
- Normal curvatures and Euler classes for polyhedral surfaces in 4-space (1984) (5)
- An Interactive Gallery on the Internet: "Surfaces beyond the Third Dimension" (1999) (5)
- The International Human Rights Regime (2011) (4)
- A Virtual Reconstruction of a Virtual Exhibit (2002) (4)
- The Politics of the European Research Area. ACES Working Paper 2002.3, August 2002 (2002) (4)
- Tight polyhedral models of isoparametric families, and PL-taut submanifolds (2007) (3)
- Comparative Evaluation of Desktop and Cave Environments for Learning Hypercube Rotations (3)
- AN INTERACTIVE EXPERIENCE (2000) (3)
- The Mathematician as a Child and Children as Mathematicians. (2000) (3)
- Complementary Coffee Cups (2006) (2)
- The Gauss map of polyhedral vertex stars. (2019) (2)
- The Jesuits and Globalization (2016) (2)
- Germany's European Policy: A Constructivist Perspective. CES Germany & Europe Working Papers, No. 08.1, 1998 (1998) (2)
- Religious Pluralism and the Politics of a Global Cloning Ban (2008) (2)
- Curves in Space: Global Properties (2016) (2)
- Polyhedral Catastrophe Theory I: Maps of the Line to the Line (1973) (2)
- Stem Cell Politics, Religious and Secular (2007) (2)
- Foliations of knot complements in the bicylinder boundary (1974) (2)
- Para além da terceira dimensão = Beyond the third dimension : geometry (2000) (1)
- Flatland with Notes and Commentary (2009) (1)
- Visualiser la quatrième dimension (2003) (1)
- Introduction: The Jesuits and globalization (2016) (1)
- Book Review: Visual geometry and topology (1997) (1)
- Global Differential Geometry. Editor, S. S. Chern (1991) (1)
- Math Awareness Month 2000: An Interactive Experience (2005) (1)
- The Power of the Liberal Arts in the Mathematics Classroom (2002) (1)
- La Quatrieme Dimension (1996) (1)
- Theories of incompleteness (1994) (1)
- Products of Linear Transformations (1983) (1)
- Student-generated software for differential geometry (1991) (1)
- Classification of Conic Sections (1983) (0)
- Curves and Surfaces in n-dimensional Euclidean Space (2016) (0)
- Quadratic Forms in n Variables (1992) (0)
- Transformations of 3-Space (1983) (0)
- Invitation to Geometry (Z. A. Melzak) (1985) (0)
- § 12: Of the Doctrine of our Priests (2009) (0)
- § 3: Concerning the Inhabitants of Flatland (2009) (0)
- Chapter 1. The Emergence of Ethical Controversy (2017) (0)
- Least Squares Approximation (1992) (0)
- Integration of Functions of Three Variables (2003) (0)
- Orthogonal Decomposition of a Vector Space (1992) (0)
- Torus Decompostions of Regular Polytopes in 4-space (2013) (0)
- Extrinsic global differential geometry (1962) (0)
- Chapter 2. First Embryo Research Regimes (2017) (0)
- § 4: Concerning the Women (2009) (0)
- The Fundamental Equations of Surfaces (2016) (0)
- Inverses and Systems of Equations (1983) (0)
- Reaching Mathematical Audiences across All Levels (2008) (0)
- § 5: Of our methods of recognizing one another (2009) (0)
- § 21: How I tried to teach the theory of Three Dimensions to my Grandson, and with what success (2009) (0)
- Inhomogeneous Systems of Equations (1983) (0)
- The Emergence of Ethical Controversy (2011) (0)
- FLATLAND: an introduction (2015) (0)
- Vector Geometry in n -Space, n ≥ 4 (1992) (0)
- First Embryo Research Regimes (2011) (0)
- Flatland: How I came to Spaceland, and what I saw there (2009) (0)
- § 19: How, though the Sphere showed me other mysteries of Spaceland, I still desired more; and what came of it (2009) (0)
- The First and Second Fundamental Forms (2016) (0)
- § 15: Concerning a Stranger from Spaceland (2009) (0)
- Bases and Dimension (1992) (0)
- Flatland: Of the Climate and Houses in Flatland (2009) (0)
- § 7: Concerning Irregular Figures (2009) (0)
- Vector Geometry in 4-Space (1983) (0)
- Notes on Contributors (2002) (0)
- Concerning our Priests (2009) (0)
- § 20: How the Sphere encouraged me in a vision (2009) (0)
- The Ethics of Embryonic Stem Cell Research (2011) (0)
- Curvature of Function Graphs (1992) (0)
- Governing Ideas: Strategies for Innovation in France and Germany . By J. Nicholas Ziegler. Ithaca, NY: Cornell University Press, 1997. 255p. $35.00. (1999) (0)
- Transformations of the Plane (1983) (0)
- Chatting fractals and New Math (1985) (0)
- What's going on in mathematics? (1987) (0)
- The Gauss-Bonnet Theorem and Geometry of Geodesics (2016) (0)
- Shadows of Reality: The Fourth dimension in relativity, Cubism, and modern thought (2008) (0)
- Classification of Quadric Surfaces (1983) (0)
- Vector Spaces with an Inner Product (1992) (0)
- Transformations of 4-Space (1983) (0)
- § 8: Of the Ancient Practice of Painting (2009) (0)
- Stem Cell and Cloning Politics (2011) (0)
- Critical Reaction to Flatland (2009) (0)
- Interactive Geometry and Critical Points (2007) (0)
- Arthur Cayley, Mathematician Laureate of the Victorian Age, by Tony CrillyJames Joseph Sylvester, Jewish Mathematician in a Victorian World, by Karen Parshall (2009) (0)
- Flatland: Recommended Reading (2009) (0)
- § 10: Of the Suppression of the Chromatic Sedition (2009) (0)
- Vector Geometry in 3-Space (1983) (0)
- Through to another dimension (1984) (0)
- Chapter 4. Stem Cell and Cloning Politics (2017) (0)
- Sums and Products of Linear Transformations (1983) (0)
- Epilogue by the Editor (2009) (0)
- Homogeneous Systems of Equations in n-Space (1992) (0)
- Flatland: The Life and Work of Edwin Abbott Abbott (2009) (0)
- Arthur Cayley, Mathematician Laureate of the Victorian Age, and: James Joseph Sylvester, Jewish Mathematician in a Victorian World (review) (2009) (0)
- The Matrix Relative to a Given Basis (1992) (0)
- Linear Transformations and Matrices (1983) (0)
- § 6: Of Recognition by Sight (2009) (0)
- Vectors in the Line (1983) (0)
- Homogeneous Systems of Equations (1983) (0)
- Symmetric Matrices in n Dimensions (1992) (0)
- Human Rights, the Catholic Church, and the Death Penalty in the United States (2011) (0)
- § 17: How the Sphere, having in vain tried words, resorted to deeds (2009) (0)
- Chapter 3. The Ethics of Embryonic Stem Cell Research (2017) (0)
- Subspaces, Linear Dependence, Dimension (1983) (0)
- § 9: Of the Universal Colour Bill (2009) (0)
- Plane Curves: Local Properties (2016) (0)
- The seduction of curves: the lines of beauty that connect mathematics, art, and the nude (2018) (0)
- Catastrophe (D. K. Sinha) (1984) (0)
- Flatland: How in my Vision I endeavoured to explain the nature of Flatland, but could not (2009) (0)
- Flatland: How I then tried to diffuse the Theory of Three Dimensions by other means, and of the result (2009) (0)
- The Geometry of Vectors in the Plane (1983) (0)
- AMS-MAA-MER Special Session on Mathematics and Education Reform, I (2005) (0)
- Circular and Countercircular Images of Plane Curves (1983) (0)
- Plane Curves: Global Properties (2016) (0)
- § 1: Of the Nature of Flatland (2009) (0)
- Transformations of n -Space, n ≥ 4 (1992) (0)
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