Philip L. Bowers

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All published works

Action	Title	Year	Authors
+	Tame and relatively elliptic ℂℙ1–structures on the thrice-punctured sphere	2024	Samuel A. Ballas Philip L. Bowers Alex Casella Lorenzo Ruffoni
+	Infinite circle packings on surfaces with conical singularities	2024	Philip L. Bowers Lorenzo Ruffoni
+	Infinite circle packings on surfaces with conical singularities	2023	Philip L. Bowers Lorenzo Ruffoni
+	Tame and relatively elliptic $\mathbb{CP}^1$-structures on the thrice-punctured sphere	2021	Samuel A. Ballas Philip L. Bowers Alex Casella Lorenzo Ruffoni
+	Tame and relatively elliptic $\mathbb{CP}^1$-structures on the thrice-punctured sphere	2021	Samuel A. Ballas Philip L. Bowers Alex Casella Lorenzo Ruffoni
+	Lectures on Quantum Mechanics: A Primer for Mathematicians	2020	Philip L. Bowers
+	The Mathematical Structure of Quantum Mechanics	2020	Philip L. Bowers
+	Clifford Algebras and Spin Representations ∗	2020	Philip L. Bowers
+	Hamilton–Jacobi Theory ∗	2020	Philip L. Bowers
+	Wave Mechanics VI: Hidden Symmetry Solved	2020	Philip L. Bowers
+	Evaluating Path Integrals II	2020	Philip L. Bowers
+	Ensembles and Density Operators	2020	Philip L. Bowers
+	Bibliography	2020	Philip L. Bowers
+	Classical Mechanics Regain’d	2020	Philip L. Bowers
+	Wave Mechanics I: Heisenberg Uncertainty	2020	Philip L. Bowers
+	Angular Momentum I: Basics	2020	Philip L. Bowers
+	Observables and Expectation Values	2020	Philip L. Bowers
+	A Review of Classical Mechanics	2020	Philip L. Bowers
+	Unitary Representations and Conservation Laws	2020	Philip L. Bowers
+	The Feynman Formulation of Quantum Mechanics	2020	Philip L. Bowers
+	Preface	2020	Philip L. Bowers
+	Lectures on Quantum Mechanics	2020	Philip L. Bowers
+	Wave Mechanics V: Hidden Symmetry Revealed	2020	Philip L. Bowers
+	Evaluating Path Integrals I	2020	Philip L. Bowers
+	Angular Momentum IV: Addition Rules and Spin	2020	Philip L. Bowers
+	Bosons and Fermions	2020	Philip L. Bowers
+	A Mathematical Interlude: Gaussian Integrals	2020	Philip L. Bowers
+	Angular Momentum II: Representations of su(2)	2020	Philip L. Bowers
+	Wave Mechanics III: The Quantum Oscillator	2020	Philip L. Bowers
+	Rigged Hilbert Space and the Dirac Calculus	2020	Philip L. Bowers
+	Epilogue	2020	Philip L. Bowers
+	Wave Mechanics VII: Pauli’s Spinor Theory	2020	Philip L. Bowers
+	The Projection Postulate Examined	2020	Philip L. Bowers
+	Wave Mechanics II: The Fourier Transform	2020	Philip L. Bowers
+	Index	2020	Philip L. Bowers
+	Combinatorics Encoding Geometry: The Legacy of Bill Thurston in the Story of One Theorem	2020	Philip L. Bowers
+	Combinatorics encoding geometry: the legacy of Bill Thurston in the story of one theorem	2020	Philip L. Bowers
+ PDF Chat	Almost all circle polyhedra are rigid	2019	John C. Bowers Philip L. Bowers Kevin Pratt
+	Almost all circle polyhedra are rigid.	2018	John C. Bowers Philip L. Bowers Kevin Pratt
+	Almost all circle polyhedra are rigid	2018	John C. Bowers Philip L. Bowers Kevin Pratt
+ PDF Chat	Rigidity of circle polyhedra in the $2$-sphere and of hyperideal polyhedra in hyperbolic $3$-space	2017	John C. Bowers Philip L. Bowers Kevin Pratt
+ PDF Chat	Ma–Schlenker c-Octahedra in the 2-Sphere	2017	John C. Bowers Philip L. Bowers
+	Rigidity of Circle Polyhedra in the 2-Sphere and of Hyperideal Polyhedra in Hyperbolic 3-Space	2017	John C. Bowers Philip L. Bowers Kevin Pratt
+	Conformal tilings I: foundations, theory, and practice	2017	Philip L. Bowers Kenneth Stephenson
+	A Menger Redux: Embedding Metric Spaces Isometrically in Euclidean Space	2017	John C. Bowers Philip L. Bowers
+	Rigidity of Circle Polyhedra in the 2-Sphere and of Hyperideal Polyhedra in Hyperbolic 3-Space	2017	John C. Bowers Philip L. Bowers Kevin Pratt
+	Ma-Schlenker c-Octahedra in the 2-Sphere	2016	John C. Bowers Philip L. Bowers
+	Ma-Schlenker c-Octahedra in the 2-Sphere	2016	John C. Bowers Philip L. Bowers
+ PDF Chat	Book Review: Introduction to circle packing: The theory of discrete analytic functions	2009	Philip L. Bowers
+	CirclePack: Software for creating quasi-conformal flat maps of the brain	1999	Monica K. Hurdal D. W. Sumners Ken Stephenson Philip L. Bowers David A. Rottenberg
+ PDF Chat	Negatively curved graph and planar metrics with applications to type.	1998	Philip L. Bowers
+	A “regular” pentagonal tiling of the plane	1997	Philip L. Bowers Kenneth Stephenson
+ PDF Chat	Boundaries of nonpositively curved groups of the form <i>G</i> × ℤ<sup><i>n</i></sup>	1996	Philip L. Bowers Kim Ruane
+ PDF Chat	Fixed points in boundaries of negatively curved groups	1996	Philip L. Bowers Kim Ruane
+	The upper Perron method for labelled complexes with applications to circle packings	1993	Philip L. Bowers
+	Circle packings in surfaces of finite type: an in situ approach with applications to moduli	1993	Philip L. Bowers Kenneth Stephenson
+	The set of circle packing points in the Teichmüller space of a surface of finite conformal type is dense	1992	Philip L. Bowers Kenneth Stephenson
+	The Borsuk dimension of a graph and Borsuk's partition conjecture for finite sets	1990	Philip L. Bowers
+	Maximally symmetric homogeneous metrics on manifolds	1990	Philip L. Bowers
+ PDF Chat	Limitation Topologies on Function Spaces	1989	Philip L. Bowers
+ PDF Chat	Limitation topologies on function spaces	1989	Philip L. Bowers
+	Dense embeddings of nowhere locally compact separable metric spaces	1987	Philip L. Bowers
+	Homological characterization of boundary set complements	1987	Philip L. Bowers
+	Characterization of Hilbert space manifolds revisited	1986	Mladen Bestvina Philip L. Bowers Jerzy Mogilsky John Walsh
+	An Example of a Fake s-Manifold with a Nice Locally Contractible Compactification	1986	Philip L. Bowers
+ PDF Chat	An example of a fake 𝑠-manifold with a nice locally contractible compactification	1986	Philip L. Bowers
+ PDF Chat	Dense Embeddings of Sigma-Compact, Nowhere Locally Compact Metric Spaces	1985	Philip L. Bowers
+ PDF Chat	General Position Properties Satisfied by Finite Products of Dendrites	1985	Philip L. Bowers
+ PDF Chat	General position properties satisfied by finite products of dendrites	1985	Philip L. Bowers
+ PDF Chat	Discrete cells properties in the boundary set setting	1985	Philip L. Bowers
+ PDF Chat	Dense embeddings of sigma-compact, nowhere locally compact metric spaces	1985	Philip L. Bowers
+	Embedding EnG in Euclidean space	1984	Philip L. Bowers
+	EMBEDDING En/G IN EUCLIDEAN SPACE	1984	Philip L. Bowers
+ PDF Chat	Detecting cohomologically stable mappings	1982	Philip L. Bowers
+ PDF Chat	Detecting Cohomologically Stable Mappings	1982	Philip L. Bowers

Common Coauthors

Coauthor	Papers Together
John C. Bowers	6
Kevin Pratt	6
Lorenzo Ruffoni	5
John C. Bowers	4
Kenneth Stephenson	4
Samuel A. Ballas	3
Alex Casella	3
Kim Ruane	2
David A. Rottenberg	1
Monica K. Hurdal	1
Jerzy Mogilsky	1
De Witt Sumners	1
Mladen Bestvina	1
Ken Stephenson	1
John Walsh	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	31
+ PDF Chat	Les groupes projectifs qui ne laissent invariante aucune multiplicité plane	1913	Élie Cartan	30
+	Finite Dimensional Approximation Approach to Oscillatory Integrals and Stationary Phase in Infinite Dimensions	1993	S. Albeverio Zdzisław Brzeźniak	30
+	Linear Transformations in Hilbert Space and Their Applications to Analysis	1932	Margaret E. Stone	30
+	None	1999	Kolokoltsov Vassili	30
+	Inside Interesting Integrals	2014	Paul J. Nahin	30
+ PDF Chat	What Bell did	2014	Tim Maudlin	30
+	The unreasonable effectiveness of mathematics in the natural sciences. Richard courant lecture in mathematical sciences delivered at New York University, May 11, 1959	1960	E. P. Wigner	30
+	Applied Functional Analysis: Applications to Mathematical Physics	1995	Eberhard Zeidler	30
+	Introduction to Lie Algebras and Representation Theory	1972	James E. Humphreys	30
+	Lectures on Clifford (Geometric) Algebras and Applications	2004	Rafał Abłamowicz W. E. Baylis Thomas Branson Pertti Lounesto Ian R. Porteous John Ryan J. M. Selig Garret Sobczyk	30
+	Clifford Algebras: An Introduction	2011	D. J. H. Garling	30
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss	30
+	Representation Theory: A First Course	1991	William Fulton	30
+ PDF Chat	Calibrated geometries	1982	Reese Harvey H. Blaine Lawson	30
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	30
+	A Family of Integrals Serving to Connect the Wiener and Feynman Integrals	1960	R. H. Cameron	30
+	Companion to concrete mathematics : mathematical techniques and various applications	1973	Z. A. Melzak	30
+ PDF Chat	Marshall Stone and the internationalization of the American mathematical research community	2009	Karen Hunger Parshall	30
+	Mathematical Methods in Quantum Mechanics	2009	Gerald Teschl	30
+	Lie Groups Beyond an Introduction	1996	Anthony W. Knapp	30
+	Lecture Notes on Elementary Topology and Geometry.	1968	Morris W. Hirsch I. M. Singer J. A. Thorpe	30
+	Interpreting the quantum world	1998		29
+	The Classical Theory of Fields	1975	L.D. LANDAU Efrat Lifshitz	29
+	SEMI-RIEMANNIAN GEOMETRY With Applications to Relativity	1984	M. A. H. MacCallum	29
+	Operator Methods in Quantum Mechanics	1982	Dimitri D. Vvedensky	29
+	Special Functions	2010	Richard Beals Roderick Wong	29
+	Special Functions	1999	George E. Andrews Richard Askey Ranjan Roy	29
+	FUNCTIONS OF MATHEMATICAL PHYSICS	1972	F. M. Arscott	29
+	STUDIES IN MODERN ALGEBRA	1964	P. M. Cohn	29
+	Geometry, Particles, and Fields	1998	Bjørn Felsager	29
+	A = B	1996	Marko Petkovšek Herbert S. Wilf Doron Zeilberger	29
+	Elementary Lectures in Statistical Mechanics	2000	George D. J. Phillies	29
+	Do We Really Understand Quantum Mechanics?	2012	Franck Laloë	29
+	Hypergeometric Functions and Their Applications	1991	James B. Seaborn	29
+	Special Functions and their Applications	1966	Y. L. L. Nikolai Lebedev Richard A. Silverman	29
+	Hilbert	1996	Constance Reid	29
+	An Introduction to Spinors and Geometry With Applications in Physics	1988	I. M. Benn R.W. Tucker	29
+	Lie Groups, Lie Algebras, and Representations	2015	Brian C. Hall	29
+	The Calculus of Variations	2004	Bruce van Brunt	29
+	Geometry, Topology and Physics	1997	Boris N. Apanasov	27
+ PDF Chat	Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics	2004	Jonathan P. Keating	27
+ PDF Chat	Characterizing Hilbert space topology	1981	H. Toruńczyk	9
+ PDF Chat	On CE-images of the Hubert cube and characterization of Q-manifolds	1980	H. Toruńczyk	7
+ PDF Chat	Non-rigidity of Spherical Inversive Distance Circle Packings	2012	Jiming Ma Jean‐Marc Schlenker	7
+ PDF Chat	Discrete cells properties in the boundary set setting	1985	Philip L. Bowers	7
+ PDF Chat	The convergence of circle packings to the Riemann mapping	1987	Burt Rodin Dennis Sullivan	7
+	Boundary sets in the Hilbert cube	1985	D. W. Curtis	6
+ PDF Chat	The Schwarz-Pick Lemma for circle packings	1991	Alan F. Beardon Kenneth Stephenson	5
+ PDF Chat	The combinatorial Riemann mapping theorem	1994	J. W. Cannon	5