Kiyoshi Igusa

Q: What Schools Are Affiliated With Kiyoshi Igusa

Kiyoshi Igusa is affiliated with the following schools: University of California, Berkeley, University of California, Irvine, Princeton University, Brandeis University, University of Pennsylvania

Kiyoshi Igusa's AcademicInfluence.com Rankings

Kiyoshi Igusa

Mathematics

#4514

World Rank

#6397

Historical Rank

Measure Theory

#3331

World Rank

#3935

Historical Rank

mathematics Degrees

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Mathematics

Why Is Kiyoshi Igusa Influential?

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According to Wikipedia, Kiyoshi Igusa is a Japanese-American mathematician and a professor at Brandeis University. He works in representation theory and topology. Education and career He studied at the University of Chicago and Princeton University, where he obtained his Ph.D. in 1979, under the direction of Allen Hatcher.

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Kiyoshi Igusa'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

ON THE FINITISTIC GLOBAL DIMENSION CONJECTURE FOR ARTIN ALGEBRAS (2002) (132)
The stability theorem for smooth pseudoisotopies (1988) (126)
Higher Franz-Reidemeister torsion (2002) (114)
A characterization of finite Auslander—Reiten quivers (1984) (92)
Notes on the no loops conjecture (1990) (80)
Exceptional sequences and clusters (2009) (67)
Finite projectivity and contravariant finiteness (1990) (65)
Higher Singularities of Smooth Functions are Unnecessary (1984) (61)
The space of framed functions (1987) (60)
Links, pictures and the homology of nilpotent groups (2001) (57)
Cluster complexes via semi-invariants (2007) (50)
Combinatorial Miller-Morita-Mumford classes and Witten cycles (2002) (49)
Radical layers of representable functors (1984) (47)
Hochschild homology and the second obstruction for pseudoisotopy (1982) (40)
Graph cohomology and Kontsevich cycles (2003) (40)
On the homotopy type of the space of generalized Morse functions (1984) (38)
The Borel regulator map on pictures, II: An example from Morse theory (1993) (36)
Syzygy pairs in a monomial algebra (1990) (35)
Cluster Categories Coming from Cyclic Posets (2013) (33)
What happens to Hatcher and Wagoner's formula for πo C(M) when the first Postnikov invariant of M is nontrivial? (1984) (33)
On the cohomology of incidence algebras of partially ordered sets (1990) (32)
SIGNED EXCEPTIONAL SEQUENCES AND THE CLUSTER MORPHISM CATEGORY (2017) (31)
Semi-invariant pictures and two conjectures on maximal green sequences (2015) (30)
PICTURE GROUPS OF FINITE TYPE AND COHOMOLOGY IN TYPE An (2016) (28)
Continuous Cluster Categories I (2012) (27)
Higher Complex Torsion and the Framing Principle (2003) (25)
A proof of the strong no loop conjecture (2011) (24)
Solution of the Bulgarian Solitaire Conjecture (1985) (23)
The Borel regulator map on pictures, I: A dilogarithm formula (1993) (23)
On the cyclic homology of monomial relation algebras (1992) (22)
Iterated integrals of superconnections (2009) (21)
Auslander algebras Of finite representation type (1987) (20)
Linearity of stability conditions (2017) (19)
Stability Conditions for Affine Type A (2018) (19)
Continuous Frobenius Categories (2012) (18)
MODULATED SEMI-INVARIANTS (2015) (16)
TWISTING COCHAINS AND HIGHER TORSION (2002) (16)
Combinatorics of Exceptional Sequences in Type A (2015) (15)
On the algebraic K-theory of a∞-ring spaces (1982) (15)
The No Gap Conjecture for tame hereditary algebras (2016) (13)
THE CATEGORY OF NONCROSSING PARTITIONS (2014) (13)
Increasing trees and Kontsevich cycles (2003) (13)
The First Hochschild Cohomology Group of a Cluster tilted Algebra Revisited (2012) (12)
Mixed cobinary trees (2013) (12)
LECTURES ON ALGEBRAIC GEOMETRY (2014) (12)
C1 Local parametrized morse theory (1990) (12)
Continuous quivers of type A (I) foundations (2022) (11)
Parametrized Morse Theory and Its Applications (2010) (10)
Maximal green sequences for cluster-tilted algebras of finite representation type (2017) (9)
τ-Cluster morphism categories and picture groups (2018) (9)
Axioms for higher torsion invariants of smooth bundles (2005) (9)
A numerical characterization of finite Auslander-Reiten quivers (1986) (9)
The WH3 (π) obstruction for pseudoisotopy (1979) (9)
Exotic smooth structures on topological fiber bundles II (2010) (9)
Periodic trees and semi-invariants (2014) (9)
Cyclic homology and the determinant of the Cartan matrix (1992) (8)
Expository Lectures on Representation Theory (2014) (7)
CONTINUOUS QUIVERS OF TYPE A (III) EMBEDDINGS OF CLUSTER THEORIES (2020) (6)
Pairwise compatibility for 2-simple minded collections (2019) (6)
CONTINUOUS CLUSTER CATEGORIES OF TYPE D (2013) (6)
A Legendrian Turaev torsion via generating families (2019) (5)
An equivariant version of Hatcher's G/O construction (2013) (5)
Maximal green sequences for cluster-tilted algebras of finite type (2017) (5)
Picture groups and maximal green sequences (2020) (5)
Surveys in Representation Theory of Algebras (2018) (4)
PERIODIC TREES AND PROPICTURES (2014) (4)
EXCEPTIONAL SEQUENCES, BRAID GROUPS AND CLUSTERS (2009) (4)
Continuous quivers of type A (I) The generalized barcode theorem (2019) (4)
Universal quivers (2020) (3)
m-Noncrossing trees (2017) (3)
{\tau}-Cluster Morphism Categories and Picture Groups (2018) (3)
A multiplication in cyclic homology (1999) (3)
Continuously triangulating the continuous cluster category (2019) (3)
Resolution quiver and cyclic homology criteria for Nakayama algebras (2019) (3)
CONTINUOUS CLUSTER CATEGORIES II: CONTINUOUS CLUSTER-TILTED CATEGORIES (2019) (3)
OUTER AUTOMORPHISMS AND THE JACOBIAN (2005) (2)
Tame Hereditary Algebras have finitely many m-Maximal Green Sequences (2017) (2)
Turaev torsion of ribbon Legendrians (2019) (2)
Expository lectures on representation theory : Maurice Auslander Distinguished Lectures and International Conference, April 25-30, 2012, Woods Hole Oceanographic Institute, Quisset Campus, Falmouth, MA (2014) (2)
ENUMERATING m-CLUSTERS USING EXCEPTIONAL SEQUENCES (2018) (2)
OUTLINE OF HIGHER IGUSA-KLEIN TORSION (2009) (2)
Preprojective partitions and the determinant of the Hom matrix (1985) (2)
Pontrjagin classes and higher torsion of sphere bundles (2008) (2)
Exceptional sequences and rooted labeled forests (2021) (2)
Second obstruction to pseudoisotopy I (2021) (2)
TWISTED COCHAINS AND HIGHER TORSION (2002) (1)
A counterexample to the $$\phi $$ ϕ -dimension conjecture (2019) (1)
Representations of Algebras, Geometry and Physics (2021) (1)
Pairwise Compatibility for the 2-Simple Minded Collections of Gentle Algebras (2019) (1)
Tits form numbers (1989) (1)
Spaces of matrices and higher Franz-Reidemeister torsion (2002) (1)
A-INFINITY FUNCTORS AND HIGHER TORSION (2003) (1)
Tame Quivers have finitely many m-Maximal Green Sequences (2017) (1)
Frieze varieties are invariant under Coxeter mutation (2019) (1)
Second obstruction to pseudoisotopy in dimension 3 (2021) (1)
Maximal green sequences of quivers with multiple edges (2019) (1)
COMPARISON OF VIEWS ON FINITISTIC PROJECTIVE DIMENSION (2009) (1)
Higher Torsion Invariants in Differential Topology and Algebraic K-Theory (2006) (1)
The formula for the permutation of mutation sequences in $A_n$ straight orientation (2016) (1)
Infinitesimal semi-invariant pictures and co-amalgamation. (2020) (1)
Cyclic posets and triangulation clusters (2019) (1)
Continuous Cluster Categories I (2014) (0)
Analysis and Topology in Interaction (2006) (0)
ITERATED INTEGRALS OF SUPERCONNECTIONS 0902 a (2009) (0)
Scaled Homology and Topological Entropy (2021) (0)
Horizontal and vertical mutation fans (2018) (0)
Cocycles in Volodin -theory (2002) (0)
On the functoriality of the space of equivariant smooth $h$-cobordisms (2023) (0)
Morse theory and filtered chain complexes (2002) (0)
Weighted quivers. (2018) (0)
Families of regular matroids (2009) (0)
On the Cyclic Homology of (1992) (0)
Proof of complexified Bökstedt theorem (2002) (0)
Cyclic posets and triangulation clusters (2019) (0)
AXIOMS FOR HIGHER TORSION (2017) (0)
Homotopy type of the Whitehead space (2002) (0)
Frieze varieties are invariant under mutation (2019) (0)
Addendum to the plenary conferences (2015) (0)
A Note on the Optimal Output of Competitive Firm under Uncertainty (1988) (0)
NOTES ON ALGEBRAIC GEOMETRY (2014) (0)
A T ] 3 J ul 2 02 1 SCALED HOMOLOGY AND TOPOLOGICAL ENTROPY (2021) (0)
A counterexample to the (cid:2) -dimension conjecture (2021) (0)
On Clusters and Exceptional Sets in Types $\mathbb{A}$ and $\tilde{\mathbb{A}}$ (2022) (0)
Recent Developments in Representation Theory (2016) (0)
Binary trees using the bookshelf and baseball constructions (2021) (0)
A model for the Whitehead spaces (2002) (0)
Nsa Joint Project Proposal (with Gordana) Cluster Theory and Related Topics Bibliography for Kiyoshi Igusa (2014) (0)
Continuous Stability Conditions of Type A and Measured Laminations of the Hyperbolic Plane (2023) (0)
The framing principle and Bökstedt’s theorem (2002) (0)
Which cluster morphism categories are CAT(0) (2022) (0)
TWISTING COCHAINS AND HIGHER TORSION 091104 (2009) (0)
THE ORIGIN OF PICTURES: NEAR-RINGS AND ALGEBRAIC K-THEORY (2018) (0)
Horizontal and vertical mutation fans (2018) (0)
Probability distribution for exceptional sequences of type $A_n$ (2021) (0)
Outer authomorphisms and the Jacobian (2005) (0)

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What Schools Are Affiliated With Kiyoshi Igusa?

Kiyoshi Igusa is affiliated with the following schools: