Victor Guillemin

Q: What Schools Are Affiliated With Victor Guillemin

Victor Guillemin is affiliated with the following schools: University of Illinois College of Medicine, Massachusetts Institute of Technology, University of Chicago, Harvard University

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Victor Guillemin

Mathematics

#385

World Rank

#783

Historical Rank

#178

USA Rank

Measure Theory

#326

World Rank

#494

Historical Rank

#142

USA Rank

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Mathematics

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According to Wikipedia, Victor William Guillemin is an American mathematician. He works at the Massachusetts Institute of Technology in the field of symplectic geometry, and he has also made contributions to the fields of microlocal analysis, spectral theory, and mathematical physics.

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Victor Guillemin'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

Stable mappings and their singularities (1973) (1873)
Symplectic Techniques in Physics (1984) (1521)
The spectrum of positive elliptic operators and periodic bicharacteristics (1975) (815)
Convexity properties of the moment mapping (1982) (721)
Geometric quantization and multiplicities of group representations (1982) (644)
Supersymmetry and equivariant de Rham theory (1999) (525)
Convexity properties of the moment mapping. II (1982) (484)
The Spectral Theory of Toeplitz Operators. (1981) (482)
Geometric Asymptotics, Revised edition (1977) (394)
Kaehler structures on toric varieties (1994) (365)
Moment Maps, Cobordisms, and Hamiltonian Group Actions (2002) (358)
Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces (1994) (336)
Symplectic Fibrations And Multiplicity Diagrams (1996) (317)
A New Proof of Weyl's Formula on the Asymptotic Distribution of Eigenvalues (1985) (284)
An algebraic model of transitive differential geometry (1964) (276)
Some inverse spectral results for negatively curved 2-manifolds (1980) (260)
The Gelfand-Cetlin system and quantization of the complex flag manifolds (1983) (214)
Birational equivalence in the symplectic category (1989) (185)
A Normal Form for the Moment Map (1984) (163)
The moment map and collective motion (1980) (160)
On normed rings (1987) (155)
Symplectic and Poisson geometry on b-manifolds (2012) (146)
Lectures on spectral theory of elliptic operators (1977) (144)
Some Problems in Integral Geometry and Some Related Problems in Micro-Local Analysis (1979) (141)
Grauert tubes and the homogeneous Monge-Ampère equation (1991) (139)
1-skeleta, Betti numbers, and equivariant cohomology (1999) (130)
Grauert tubes and the homogeneous Monge-Ampère equation. II (1991) (129)
Oscillatory integrals with singular symbols (1981) (128)
The Poisson Summation Formula for Manifolds with Boundary (1979) (127)
The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 (1981) (125)
Multiplicity-free spaces (1984) (119)
Semi-Classical Analysis (2013) (110)
The radon transform on zoll surfaces (1976) (105)
Homogeneous quantization and multiplicities of group representations (1982) (104)
Review: Gerald Folland, Harmonic analysis in phase space (1990) (103)
Toeplitz operators in n-dimensions (1984) (101)
A GKM description of the equivariant cohomology ring of a homogeneous space (2001) (100)
Sojourn Times and Asymptotic Properties of the Scattering Matrix (1976) (95)
The integrability problem for $G$-structures (1965) (92)
Equivariant de Rham theory and graphs (1998) (87)
Codimension one symplectic foliations and regular Poisson structures (2010) (82)
On collective complete integrability according to the method of Thimm (1983) (81)
Variations on a Theme by Kepler (1990) (80)
Wave-trace invariants (1996) (79)
Remarks on a paper of Hermann (1968) (79)
Cosmology in (2+1)- Dimensions, Cyclic Models, and Deformations of M2,1 (1989) (79)
Star products on compact pre-quantizable symplectic manifolds (1995) (78)
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology. (1996) (72)
Deformation theory of pseudogroup structures (1966) (70)
The Spectrum of Certain Invariant Differential Operators Associated to a Hermitian Symmetric Space * (67)
Residue Traces for Certain Algebras of Fourier Integral Operators (1993) (67)
Some Classical Theorems in Spectral Theory Revisited (1979) (64)
On the Kostant multiplicity formula (1988) (63)
Cohomology of vector fields on a manifold (1973) (63)
Toric Actions on b-Symplectic Manifolds (2013) (63)
Infinite dimensional primitive Lie algebras (1970) (62)
Symplectic reduction and Riemann-Roch for circle actions (1995) (58)
The Laplace operator on the nth tensor power of a line bundle: eigenvalues which are uniformly bounded in n (1988) (57)
On a certain class of Fuchsian partial differential equations (1977) (56)
Symplectic Implosion (2001) (54)
Some spectral results for the Laplace operator with potential on the n-sphere (1978) (53)
LXXX Photoelectric Nystagmography (1951) (53)
Measure Theory and Probability (1986) (53)
A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras (1968) (51)
The existence of generating families for the cohomology ring of a graph (2003) (49)
Band asymptotics in two dimensions (1981) (48)
Riemann-Roch for toric orbifolds (1997) (46)
The integrability of characteristics (1970) (45)
Equations of motion of a classical particle in a Yang-Mills field and the principle of general covariance (1978) (44)
On the cohomology of certain dynamical systems (1980) (44)
Heckman, Kostant, and Steinberg Formulas for Symplectic Manifolds (1990) (43)
Reduced Phase Spaces and Riemann-Roch (1994) (43)
Gauged Lagrangian Distributions (1993) (43)
The mod 2 cohomology of fixed point sets of anti-symplectic involutions (2001) (42)
Lie Theory and Geometry (1994) (42)
An inverse spectral result for elliptical regions in R2 (1979) (39)
Cobordism theory and localization formulas for Hamiltonian group actions (1996) (39)
Convexity properties of Hamiltonian group actions (2005) (39)
The classification of the complex primitive infinite pseudogroups. (1966) (39)
A vector partition function for the multiplicities of sl_k(C) (2003) (39)
Some spectral results on rank one symmetric spaces (1978) (39)
On some results of Gel fand in integral geometry (1984) (36)
The classification of the irreducible complex algebras of infinite type (1967) (35)
Reduction and the trace formula (1990) (35)
Eigenvalues associated with a closed geodesic (1976) (33)
Some Algebraic Results Concerning the Characteristics of Overdetermined Partial Differential Equations (1968) (32)
Riemann sums over polytopes (2006) (31)
GKM theory for torus actions with nonisolated fixed Points (2003) (30)
A semi-classical inverse problem I: Taylor expansions. (2008) (30)
Hodge Theory (2008) (29)
The Spectrum of Positiv Elliptic Operators and Periodic Geodesics (1975) (29)
Cohomology of GKM fiber bundles (2008) (28)
A Cohomological Invariant of Discrete Dynamical Systems (1981) (27)
Some inverse spectral results for semi-classical Schr\ (2005) (27)
G-actions on graphs (2000) (27)
Combinatorial Formulas for Products of Thom Classes (2000) (27)
The metaplectic representation, weyl operators and spectral theory (1981) (26)
On the period spectrum of a symplectic mapping (1991) (26)
Potential functions and actions of Tori on Kähler manifolds (2003) (25)
Hardy functions and the inverse spectral method (1983) (25)
Spectral properties of a certain class of complex potentials (1983) (25)
Convexity Theorems for Varieties Invariant under a Borel Subgroup (2005) (24)
Symplectic Origami (2009) (24)
Kähler metrics on singular toric varieties (2005) (24)
The moment map revisited (2005) (22)
Convexity for Hamiltonian torus actions on $b$-symplectic manifolds (2014) (22)
Spectral theory on S2: Some open questions (1981) (21)
An ultra-hyperbolic analogue of the Robinson-Kerr theorem (1986) (20)
The Story of Quantum Mechanics (1968) (20)
The Lewy counterexample and the local equivalence problem for $G$-structures (1967) (20)
HOW IS A GRAPH LIKE A MANIFOLD (2002) (20)
Some Remarks about Semiclassical Trace Invariants and Quantum Normal Forms (2009) (19)
Inverse spectral results on two-dimensional tori (1990) (18)
Remarks on a paper of D. Ludwig (1973) (18)
Some Algebraic Results Concerning Involutive Subspaces (1968) (16)
Semiclassical spectral invariants for Schrodinger operators (2009) (16)
Clustering theorems with twisted spectra (1986) (16)
Stability Functions (2008) (16)
Odd Dimensional Symplectic Manifolds (2010) (16)
Some stable results on the cohomology of the classical infinite-dimensional Lie algebras (1973) (15)
Desingularizing b^m-symplectic structures (2019) (15)
Balanced Fiber Bundles and GKM Theory (2011) (15)
On geometric quantization of $$b^m$$-symplectic manifolds (2016) (15)
On Spencer's Estimate for δ-Poincare (1965) (14)
The frobenius reciprocity theorem from a symplectic point of view (1983) (14)
Weight Varieties (2007) (14)
"Bottom of the well" semi-classical trace invariants (2006) (14)
Subelliptic estimates for complexes. (1970) (13)
Semiclassical States Associated with Isotropic Submanifolds of Phase Space (2015) (12)
Assignments and abstract moment maps (1999) (12)
Nystagmograph for clinical use. (1958) (12)
Hearing Delzant Polytopes From the Equivariant Spectrum (2009) (11)
Morse theory on Hamiltonian G-spaces and equivariant K-theory (2003) (11)
Spectral Asymptotics of Toeplitz Operators on Zoll Manifolds (1997) (11)
Three dimensional vector ballistocardiography. (1950) (10)
On the method of symes for integrating systems of the toda type (1983) (10)
Singularities of the wave trace near cluster points of the length spectrum (2010) (10)
Desingularizing $\boldsymbol{b^m}$-Symplectic Structures (2015) (10)
The Ehrhart Function for Symbols (2006) (10)
On the Kostant Multiplicity Formula for Group Actions with Non-isolated Fixed Points (1996) (10)
Subprincipal terms in Szegö estimates (1997) (10)
Convexity of the moment map image for torus actions on bm-symplectic manifolds (2018) (10)
The spectral density function of a toric variety (2007) (9)
Toric symplectic singular spaces I: isolated singularities (2005) (9)
A method of quantitative heat application to small skin areas at controlled temperature. (1952) (9)
Determinants of zeroth order operators (2006) (9)
Signature quantization (2003) (9)
Physiological effects of long term repetitive exposure to mechanical vibration. (1953) (8)
Clean intersection theory and Fourier Integrals (1975) (8)
Band invariants for perturbations of the harmonic oscillator (2011) (8)
A CONSIDERATION OF SOME EXPERIENCES WITH ELECTRIC SHOCK TREATMENT IN MENTAL DISEASES, WITH SPECIAL REGARD TO VARIOUS PSYCHOSOMATIC PHENOMENA AND TO CERTAIN ELECTROTECHNICAL FACTORS (1943) (8)
Reduction, the trace formula, and semiclassical asymptotics. (1987) (8)
Remarks on some results of Gelfand and Fuks (1972) (7)
The cohomology of infinite dimensional Lie algebras; some questions of integral geometry (1987) (7)
Souriau scattering and the Yang-Mills dust (1985) (7)
The relation between compact and non-compact equivariant cobordisms (1998) (7)
Moments and reductions (1982) (7)
Polynomial Assignments (2013) (6)
Semi-classical weights and equivariant spectral theory (2014) (6)
Equivariant Inverse Spectral Theory and Toric Orbifolds (2011) (6)
Seminar on micro-local analysis (1979) (6)
A generalization of the notion of polarization (1986) (6)
The trace formula for vector bundles (1986) (6)
The Mellin Transform and Spectral Properties of Toric Varieties (2007) (6)
Szegö theorems for Zoll operators (1996) (6)
On the university phase spaces for homogeneous principal bundles (1982) (5)
A SZEGO-TYPE THEOREM FOR SYMMETRIC SPACES (1980) (5)
Melrose-Uhlmann projectors, the metaplectic representation and symplectic cuts (2003) (5)
On the de Haas – van Alphen effect (1993) (5)
Photoelectric nystagmography. (1951) (5)
To the theory of normed rings. II. On absolutely convergent trigonometrical series and integrals (1987) (5)
The generalized Legendre transform and its applications to inverse spectral problems (2015) (4)
Douglas' solution of the Plateau problem. (1988) (4)
The linearization theorem (2002) (4)
On weight multiplicities of complex simple Lie algebras (2008) (4)
Signature quantization and representations of compact Lie groups. (2004) (4)
A Fulling–Kuchment theorem for the 1D harmonic oscillator (2011) (4)
Equivariant K-theory of GKM bundles (2012) (4)
SOME MICRO-LOCAL ASPECTS OF ANALYSIS ON COMPACT SYMMETRIC SPACES (1980) (4)
Mathematics past and present : Fourier integral operators : selected classical articles (1994) (3)
Canonical forms for perturbations of the harmonic oscillator (2013) (3)
Morse theory on graphs (2000) (3)
On one-parametrical groups of operators in a normed space (1987) (3)
Some spectral properties of periodic potentials (1987) (3)
To the theory of normed rings. III. On the ring of almost periodic functions (1987) (3)
Seminar on micro-local analysis (AM-93) (1980) (3)
The homogeneous Monge-Ampere equation on a pseudoconvex domain (1992) (2)
From b-Poisson manifolds to symplectic mapping tori and back (2012) (2)
One-Skeletons and Equivariant Cohomology (1999) (2)
Quantization commutes with reduction (2002) (2)
Codimension one symplectic foliations and regular Poisson manifolds (2010) (2)
Band asymptotics on line bundles over $S\sp 2$ (1985) (2)
25 Years of Fourier Integral Operators (1994) (2)
Some Riemann Sums Are Better Than Others (2008) (2)
4. THE METAPLECTIC REPRESENTATION (1981) (2)
Some remarks on I. M. Gelfand’s works (1987) (2)
Kaehler cuts (2002) (2)
Maslov theory and singularities (2013) (2)
Review: I. M. Gel′fand and G. E. Shilov, Generalized functions (1980) (2)
Singularities of the wave trace for the Friedlander model (2014) (2)
Deformations of a Hamiltonian Action of a Compact Lie Group (1993) (2)
The Weil Algebra (1999) (2)
Contact Equivalence for Lagrangian Manifolds M. GOLUBITSKY AND V. GUILLEMIN* (2003) (2)
13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS (1981) (2)
Cobordism invariance of the index of a transversally elliptic operator, by Maxim Braverman (2002) (2)
Remembering Johannes J . Duistermaat ( 1942 – 2010 ) (1942) (1)
Symplectic Fibrations and Multiplicity Diagrams: Symplectic Fibrations (1996) (1)
On the theory of characters of commutative topological groups (1987) (1)
Equivariant Inverse Spectral Problems (2012) (1)
Zoll Phenomena in (2 + 1) Dimensions (1988) (1)
Integral representations of isotropic semiclassical functions and applications (2021) (1)
Proper actions of lie groups (2002) (1)
Relative chilling effect of moist cold and dry cold climates. (1954) (1)
Cohomological Aspects of Hamiltonian Group Actions and Toric Varieties (2004) (1)
The Tian–Yau–Zelditch Theorem and Toeplitz Operators (2011) (1)
Oriented intersection theory (2010) (1)
Raoul Bott As We Knew Him (2010) (1)
A semiclassical heat trace expansion for the perturbed harmonic oscillator (2011) (1)
Review: Michael Spivak, A comprehensive introduction to differential geometry, Volumes I and II (1973) (1)
Part II. The general theory of Zollfrei deformations (1989) (0)
Main problems about geodesics (0)
The Duistermaat-Heckman Theorem (1994) (0)
Equivariant Symplectic Forms (1999) (0)
Various Equivalent Notions of Stability (1973) (0)
Differential operators and asymptotic solutions (1977) (0)
6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES (1981) (0)
The Kawasaki Riemann–Roch formula (2002) (0)
K ¨ Ahler Cuts (2002) (0)
7. THE COMPOSITION THEOREM (1981) (0)
Studies in applied mathematics : a volume dedicated to Irving Segal (1983) (0)
15. SOME CONCLUDING REMARKS (1981) (0)
Characteristic numbers, non-degenerate cobordisms, and non-virtual quantization (2002) (0)
11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS (1981) (0)
Part I. A relativistic approach to Zoll phenomena (1989) (0)
Classical brackets and configurational symmetries (2006) (0)
3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE (1981) (0)
Delzant polytopes from the equivariant spectrum (2012) (0)
12. THE TRACE FORMULA (1981) (0)
Bohr—Sommerfeld Levels for Quantum Completely Integrable Systems (2021) (0)
Differential Forms (2019) (0)
Part IV. The generalized x-ray transform (1989) (0)
§9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS (1981) (0)
Quantum mechanics and dynamical symmetries (2006) (0)
Integration on manifolds (2010) (0)
A remark on strong pseudoconvexity for elliptic operators (1972) (0)
Some elementary examples of the convexity theorem (2006) (0)
5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS (1981) (0)
18.101 Analysis II, Fall 2004 (2004) (0)
Signs and normalization conventions (2002) (0)
Signature quantization, representations of compact Lie groups, and a q-analogue of the Kostant partition function (2004) (0)
14. THE HILBERT POLYNOMIAL (1981) (0)
The quantum version of the linearization theorem (2002) (0)
2. GENERALIZED TOEPLITZ OPERATORS (1981) (0)
Applications of the convexity theorem (2006) (0)
On the Moment Mapping (1983) (0)
8. THE PROOF OF THEOREM 7.5 (1981) (0)
Dedication to Dusa McDuff (2007) (0)
POLAR ACTIONS ON NONNEGATIVELY CURVED MANIFOLDS (2015) (0)
Stable complex and ^{}-structures (2002) (0)
J. Differential Geometry Riemann-roch for Toric Orbifolds (1997) (0)
Measure zero and Sard’s theorem (2010) (0)
Introduction. The method of stationary phase (1977) (0)
A constructive proof of the non-abelian convexity theorem (2006) (0)
Kähler potentials and convexity (2006) (0)
Transversality and intersection (2010) (0)
Preliminaries on Manifolds (1973) (0)
10. THE TRANSPORT EQUATION (1981) (0)
Classification of compact one-manifolds (2010) (0)
Part III. Zollfrei deformations of M2,1 (1989) (0)
AMERICAN MATHElfaATICAL SOCIETY (1977) (0)
The convexity theorem for Hamiltonian -spaces (2006) (0)
Abstract moment maps (2002) (0)
Non-degenerate abstract moment maps (2002) (0)
Manifolds and smooth maps (2010) (0)
APPENDIX: QUANTIZED CONTACT STRUCTURES (1981) (0)
Reduction and applications (2002) (0)
“Anything goes” (2019) (0)
ON DIFFERENTIAL SYSTEMS, II. (1963) (0)
The Weil Model and the Cartan Model (1999) (0)
The Thom Class and Localization (1999) (0)
Basic definitions and examples (2018) (0)
Cohomologie Equivariante : G* and W* Algebres (0)
The conformal completion of Minkowski space (2006) (0)
Isadore M. Singer (1924–2021) In Memoriam Part 2: Personal Recollections (2022) (0)
Computations with Orbits (1996) (0)
The Malgrange Preparation Theorem (1973) (0)
Louis Boutet de Monvel, Selected Works (2017) (0)
The Ehrhart Function for Symbols Contents 1. Introduction. 1 2. an Ehrhart Formula for Simple Polytopes. 4 2.1. the Euler-maclaurin Formula for Symbols. 4 2.2. Regularization. 6 References 7 (0)
The integral geometry of line complexes and a theorem of Gelfand-Graev (2019) (0)
Part V. The Floquet theory (1989) (0)
Equivariant K-theory of GKM bundles (2012) (0)
Beyond cohomological assignments (2020) (0)
Classification of Singularities. Part I: The Thom-Boardman Invariants (1973) (0)
Polynomial assignments Citation (2013) (0)
The Abstract Localization Theorem (1999) (0)
Multiplicities as Invariants of Reduced Spaces (1994) (0)
Spectral Properties of Semi-classical Toeplitz Operators (2017) (0)
Classification of Singularities. Part II: The Local Ring of a Singularity (1973) (0)
倉西数学への誘い = Masatake Kuranishi:his life and mathematics (2013) (0)
Homogeneous models in general relativity (2006) (0)
Symplectic Fibrations and Multiplicity Diagrams: Examples of Symplectic Fibrations: The Coadjoint Orbit Hierarchy (1996) (0)
Geometric aspects of distributions (1977) (0)
Book Review: Semi-classical analysis (2013) (0)
Ju l 2 00 0 COMBINATORIAL FORMULAS FOR PRODUCTS OF THOM CLASSES (2008) (0)
The conformal group and hidden symmetries (2006) (0)
Duistermaat–Heckman Polynomials (1996) (0)
Equivariant Cohomology in Topology (1999) (0)
Symplectic Origami Citation (2011) (0)
Singularities of the wave trace for the Friedlander model (2017) (0)
Cohomology of GKM fiber bundles (2011) (0)
Semiclassical States Associated with Isotropic Submanifolds of Phase Space (2016) (0)
Inverse spectral results for non-abelian group actions (2020) (0)
THE GUTZWILLER TRACE FORMULA TORONTO 1/14–1/17, 2008 (0)

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What Schools Are Affiliated With Victor Guillemin?

Victor Guillemin is affiliated with the following schools: