Dan Freed | Academic Influence

Dan Freed's AcademicInfluence.com Rankings

Dan Freed

Mathematics

#944

World Rank

#1645

Historical Rank

#412

USA Rank

Measure Theory

#2342

World Rank

#2801

Historical Rank

#663

USA Rank

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Mathematics

Dan Freed's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics Princeton University

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Why Is Dan Freed Influential?

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According to Wikipedia, Daniel Stuart Freed is an American mathematician, specializing in global analysis and its applications to supersymmetry, string theory, and quantum field theory. He is currently the Shiing-Shen Chern Professor of Mathematics at Harvard University.

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Dan Freed'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

Anomalies in string theory with D-branes (1999) (573)
Instantons and Four-Manifolds (1984) (570)
The analysis of elliptic families (1986) (391)
The analysis of elliptic families. I. Metrics and connections on determinant bundles (1986) (291)
Special Kähler Manifolds (1997) (264)
Chern-Simons theory with finite gauge group (1991) (256)
Reflection positivity and invertible topological phases (2016) (244)
Twisted Equivariant Matter (2012) (235)
Gravitational anomaly cancellation for M-theory fivebranes (1998) (194)
Computer calculation of Witten's 3-manifold invariant (1991) (184)
Dirac Charge Quantization and Generalized Differential Cohomology (2000) (183)
Higher algebraic structures and quantization (1992) (179)
Anomalies in the space of coupling constants and their dynamical applications II (2019) (149)
Loop groups and twisted K‐theory I (2007) (145)
The geometry of loop groups (1988) (141)
Five Lectures on Supersymmetry (1999) (139)
Determinants, torsion, and strings (1986) (138)
On Ramond-Ramond fields and K-theory (2000) (135)
Heisenberg groups and noncommutative fluxes (2006) (133)
η‐invariants and determinant lines (1994) (133)
Classical Chern-Simons Theory, 1 (1995) (131)
Relative Quantum Field Theory (2012) (126)
Twisted equivariant K‐theory with complex coefficients (2002) (124)
The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group. (1989) (108)
Topological Quantum Field Theories from Compact Lie Groups (2009) (108)
Twisted K-theory and loop group representations (2003) (108)
The Uncertainty of Fluxes (2006) (107)
Setting the Quantum Integrand of M-Theory (2004) (99)
On Determinant Line Bundles (1987) (98)
CLASSICAL CHERN-SIMONS THEORY, PART 2 (1992) (98)
An index theorem in differential $K$–theory (2009) (96)
Geometry and Quantum Field Theory (1995) (96)
The M-theory 3-form and E8 gauge theory (2003) (89)
Anomalies and Invertible Field Theories (2014) (77)
Short-range entanglement and invertible field theories (2014) (76)
The Verlinde algebra is twisted equivariant K-theory (2001) (72)
Elliptic Cohomology: The M -theory 3-form and E 8 gauge theory (2007) (58)
Pions and generalized cohomology (2006) (54)
Introduction to the First Edition (1991) (54)
Loop groups and twisted $K$-theory II (2005) (54)
Loop groups and twisted K-theory III (2011) (51)
Reidemeister torsion, spectral sequences, and Brieskorn spheres. (1992) (48)
Remarks on Chern-Simons theory (2008) (46)
K-Theory in Quantum Field Theory (2002) (42)
Chern-Weil forms and abstract homotopy theory (2013) (40)
Twisted K-theory and loop groups (2002) (40)
Global anomalies on orbifolds (1988) (39)
Consistent Orientation of Moduli Spaces (2007) (38)
Lectures on Topological Quantum Field Theory (1993) (33)
Quantum Groups from Path Integrals (1995) (32)
On Wigner's theorem (2011) (30)
Spin structures and superstrings (2010) (28)
The Sum Over Topological Sectors and θ in the 2 + 1-Dimensional CP 1 σ-Model (27)
ℤ/k-manifolds and families of Dirac operators (1988) (26)
Flag Manifolds and Infinite Dimensional Kähler Geometry (1985) (25)
Topological dualities in the Ising model (2018) (24)
Global anomalies on orbifolds (1987) (23)
Two index theorems in odd dimensions (1998) (23)
The M theory three form and E(8) gauge theory (2003) (22)
Topological symmetry in quantum field theory (2022) (21)
Gapped Boundary Theories in Three Dimensions (2020) (20)
The Sum Over Topological Sectors and θ in the 2+1-Dimensional $${\mathbb{CP}^1 \sigma}$$CP1σ-Model (2017) (19)
Extended Structures in Topological Quantum Field Theory (1993) (19)
An index theorem for families of Fredholm operators parametrized by a group (1988) (18)
The cobordism hypothesis (2012) (17)
Quantum Fields and Strings: A Course for Mathematicians, Volumes I and 2. (2016) (15)
A modk index theorem (1992) (15)
Lectures on Field Theory and Topology (2019) (14)
A poisson process whose rate is a hidden Markov process (1982) (13)
Locality and Integration in Topological Field Theory (1992) (12)
Topology and Quantum Theory in Interaction (2018) (10)
Consistency of M-Theory on Non-Orientable Manifolds (2021) (9)
Characteristic Numbers and Generalized Path Integrals (1994) (8)
Invertible phases of matter with spatial symmetry (2019) (8)
M-Theory anomaly cancellation (2019) (8)
Erratum: “η-invariants and determinant lines” [J. Math. Phys. 35, 5155 (1994)] (2001) (7)
Classical Field Theory and Supersymmetry (2008) (7)
A Panorama Of Physical Mathematics c. 2022 (2022) (6)
Determinant Line Bundles Revisited (1995) (6)
LECTURES ON TWISTED K-THEORY AND ORIENTIFOLDS (2012) (6)
Dirac families for loop groups as matrix factorizations (2014) (4)
On equivariant Chern-Weil forms and determinant lines (2016) (4)
The Yang-Mills Equations (1991) (3)
FOUR LECTURES ON FINITE SYMMETRY IN QFT (2022) (2)
Two nontrivial index theorems in odd dimensions (1996) (2)
TF1 Snowmass Report: Quantum gravity, string theory, and black holes (2022) (2)
Introduction to topological symmetry in QFT (2022) (2)
FOUR LECTURES ON FINITE SYMMETRY IN QFT (2022) (2)
2001 LECTURES ON QUANTUM FIELDS AND STRINGS FOR MATHEMATICIANS (2001) (2)
Snowmass Whitepaper: Physical Mathematics 2021 (2022) (1)
Pumping conductance, the intrinsic anomalous {H}all effect, and statistics of topological invariants (2015) (1)
Ju n 20 02 Twisted K-Theory and Loop Groups (0)
Ju l 2 01 0 SPIN STRUCTURES AND SUPERSTRINGS (2021) (0)
Survey of D-branes and K-theory (2010) (0)
Lecture 7: Characteristic Classes (2012) (0)
v 2 8 J un 1 99 3 REVISED VERSION Higher Algebraic Structures and Quantization (1993) (0)
The Collar Theorem (1984) (0)
3 2 2 A ug 2 00 6 The Uncertainty of Fluxes (0)
Lecture 23: an Application of Morse-cerf Theory (0)
ON DETERMINANT LINE BUNDLES 1 REVISED VERSION ON DETERMINANT LINE BUNDLES (1987) (0)
Mathematisches Forschungsinstitut Oberwolfach Report No . 27 / 2005 Geometric Topology and Connections with Quantum Field Theory (2005) (0)
Lecture 11: Hirzebruch’s signature theorem (2012) (0)
A T ] 1 3 N ov 2 00 7 Loop Groups and Twisted K-Theory II (2007) (0)
ec 2 00 3 Twisted equivariant K-theory with complex coefficients (2008) (0)
Se p 20 04 Setting the Quantum Integrand of M-Theory (0)
Commentary on “Lectures on Morse theory, old and new” (2011) (0)
Eisenbud Lectures in Mathematics Physics (2010) (0)
Relative Quantum Field Theory (2014) (0)
Book Review: The heat kernel Lefschetz fixed point formula for the $\text{Spin}^c$ dirac operator (1997) (0)
Cones on ℂℙ2 (1984) (0)
Quantum Field Theory, Supersymmetry, and Enumerative Geometry: IAS Park City Mathematics Series, Volume II (2006) (0)
The Atiyah–Singer index theorem (2021) (0)
Lecture 8: More Characteristic Classes and the Thom Isomorphism (2012) (0)
J ul 2 00 7 REVISED VERSION Pions and Generalized (0)
Symplectic Constructions on 4-manifolds Symplectic Constructions on 4-manifolds Background and Preliminary Results (1996) (0)
Ju n 20 02 K-Theory in Quantum Field Theory (0)
M392C NOTES: INDEX THEORY (2018) (0)
SYMPLECTIC CONSTRUCTIONS ON 4-MANIFOLDS by JOHN BOYD ETNYRE (2013) (0)
Orientifold Précis the Twisted Spin Structure Appears in Definition 3 (0)
06 05 19 8 v 2 2 3 M ay 2 00 6 The Uncertainty of Fluxes (0)
Ja n 20 05 Setting the Quantum Integrand of M-Theory (0)
M392C NOTES: MORSE THEORY (2018) (0)
The dilogarithm and abelian Chern–Simons (2020) (0)
Calculation of Witten ' s 3-Manifold Invariant * (2004) (0)
ON DETERMINANT LINE BUNDLES 1 ON DETERMINANT LINE BUNDLES (1987) (0)
Manifolds of Connections (1984) (0)
Introduction to Taubes’ Theorem (1991) (0)
3 Quantum Groups from Path Integrals (0)
Lecture 20: Topological Bordism Categories (0)
Lecture 17: Invertible Topological Quantum Field Theories (2012) (0)
The Technique of Fintushel and Stern (1991) (0)
Twisted Equivariant Matter (2013) (0)
J un 1 99 4 REVISED VERSION η-Invariants and Determinant Lines Xianzhe (2022) (0)
3d spectral networks and classical Chern-Simons theory (2022) (0)
Lecture 9: Tangential structures (2012) (0)
Geometry, Quantum Fields, and Strings: Categorial Aspects (2010) (0)
N ov 2 00 5 Twisted K-theory and Loop Group Representations (0)
Quantum Field Theory, Supersymmetry, and Enumerative Geometry (2006) (0)
ON QUANTUM FIELDS AND STRINGS FOR MATHEMATICIANS (2001) (0)
A T ] 9 N ov 2 00 5 Loop Groups and Twisted K-Theory II (2005) (0)
Comment: ``Global anomalies on orbifolds'' (1988) (0)
J ul 2 00 7 REVISED VERSION Pions and Generalized Cohomology (0)
1 0 A ug 2 01 4 SHORT-RANGE ENTANGLEMENT AND INVERTIBLE FIELD THEORIES (2018) (0)
Lecture 22: Remarks on the proof of GMTW (2012) (0)
Mathematics of topological insulators (2021) (0)
Book Review: Differential topology and quantum field theory (1993) (0)
Lecture 6: Classifying Spaces (2012) (0)
Lecture 18: Groupoids and Spaces (2012) (0)

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