Paul Monsky | Academic Influence

Paul Monsky's AcademicInfluence.com Rankings

Paul Monsky

Mathematics

#3721

World Rank

#5432

Historical Rank

#1349

USA Rank

Measure Theory

#3475

World Rank

#4100

Historical Rank

#1005

USA Rank

mathematics Degrees

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Mathematics

Paul Monsky's Degrees

PhD Mathematics Princeton University

Why Is Paul Monsky Influential?

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According to Wikipedia, Paul Monsky is an American mathematician and professor at Brandeis University. After earning a bachelor's degree from Swarthmore College, he received his Ph.D. in 1962 from the University of Chicago under the supervision of Walter Lewis Baily, Jr. He has introduced the Monsky–Washnitzer cohomology and he has worked intensively on Hilbert–Kunz functions and Hilbert–Kunz multiplicity. In 2007, Monsky and Holger Brenner gave an example showing that tight closure does not commute with localization.

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Paul Monsky'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

The Hilbert-Kunz function (1983) (204)
On the automorphisms of hypersurfaces (1963) (161)
Formal Cohomology: I (1968) (145)
On Dividing A Square Into Triangles (1970) (72)
P-adic analysis and zeta functions (1970) (64)
Formal Cohomology: III. Fixed Point Theorems (1971) (55)
Mock heegner points and congruent numbers (1990) (52)
Generalizing the Birch–Stephens theorem I. Modular curves (1996) (49)
Tight closure does not commute with localization (2007) (48)
Formal Cohomology: II. The Cohomology Sequence of a Pair (1968) (47)
Generalizing the birch-stephens theorem (1996) (44)
Formal cohomology. III (1971) (31)
Class numbers inZpd-extensions (1981) (30)
Hilbert-Kunz Functions for Normal Rings (2004) (27)
Onp-adic power series (1981) (23)
p-Fractals and power series–I. Some 2 variable results (2004) (22)
Hilbert–Kunz Functions in a Family: Point-S4Quartics (1998) (21)
Rationality of Hilbert-Kunz multiplicities: a likely counterexample (2008) (21)
The Hilbert–Kunz multiplicity of an irreducible trinomial (2006) (19)
p-Fractals and power series—II.: Some applications to Hilbert–Kunz theory (2005) (19)
Mason's theorem and syzygy gaps (2006) (18)
The Hilbert–Kunz Function of a Characteristic 2 Cubic (1997) (18)
Finiteness of De Rham Cohomology (1972) (15)
Hilbert–Kunz Functions in a Family: Line-S4Quartics (1998) (14)
A conjecture of Stein on plane dissections (1990) (13)
Some invariants ofZpd-extensions (1981) (13)
Three constructions of rational points onY2=X3±NX (1992) (13)
On the Hilbert–Kunz function of zD−p4(x,y) (2005) (12)
THE CONSTRUCTION OF FORMAL COHOMOLOGY SHEAVES. (1964) (10)
ONE DIMENSIONAL FORMAL COHOMOLOGY (1970) (10)
Transcendence of some Hilbert-Kunz multiplicities (modulo a conjecture) (2009) (9)
Hilbert-Kunz theory for nodal cubics, via sheaves (2010) (9)
Hilbert–Kunz functions for irreducible plane curves (2007) (8)
Simplifying the proof of Dirichlet's theorem (1993) (8)
p-Ranks of class groups inZpd-extensions (1983) (8)
The limit as p -> infinity of the Hilbert-Kunz multiplicity of sum(x_i^(d_i)) (2010) (8)
Calculating a Trapezoidal Spectrum (1996) (6)
Algebraicity of some Hilbert-Kunz multiplicities (modulo a conjecture) (2009) (6)
A result of Lemmermeyer on class numbers (2010) (5)
A Hecke algebra attached to mod 2 modular forms of level 3 (2015) (5)
Fine Estimates for the Growth of en in z;-Extensions (2018) (4)
Constructing equidissections for certain classes of trapezoids (2008) (3)
Generating Functions Attached to some Infinite Matrices (2009) (2)
Elementary Problems: E2695-E2700 (1978) (2)
Fine Estimates for the Growth of $e_{n}$ in $Z_{p}^{d}$-Extensions (1989) (2)
Tight Closure’s Failure to Localize - a Self-Contained Exposition (2009) (2)
Class Numbers in Z....-Extensions. III. (1986) (2)
Class numbers inZpd-extensions. III (1986) (1)
Generators and relations for the shallow mod 2 Hecke algebra in levels $Γ_{0}(3)$ and $Γ_{0}(5)$ (2017) (1)
Three constructions of rational points onY2=X3±NX (1992) (1)
Disquisitiones Arithmeticae and online sequence A108345 (2010) (1)
Variations on a Lemma of Nicolas and Serre (2016) (1)
A characteristic 2 recurrence related to $U_3$, with a Hecke algebra application (2016) (1)
Elementary Problems: E3159-E3164 (1986) (1)
The number of E2-E16 isomers (1983) (1)
Elementary Problems: E2709, E2749-E2754 (1979) (0)
Frobenius’ Result on Simple Groups of Order (2013) (0)
Advanced Problems: 6637-6639 (1990) (0)
Problems for Solution: E1101-E1105 (1954) (0)
Generators and relations for the shallow mod 2 Hecke algebra in levels $\Gamma_{0}(3)$ and $\Gamma_{0}(5)$ (2017) (0)
The reciprocals of some characteristic 2 "theta series" (2011) (0)
Three constructions of rational points on Y2 = X3 ... NX (Errata). (1993) (0)
Abstracts for Plenary Speakers (2005) (0)
Kepler's First Law—A Remark (2004) (0)
Class numbers inZpd-extensions. IV (1987) (0)
The number of E2-E1(6) isomers. (1983) (0)
Class numbers inZpd-extensions-II (1986) (0)
Advanced Problems: 5808-5813 (1971) (0)
Frobenius' result on simple groups of order (p^3-p)/2 (2011) (0)
Discrete Mathematics: To: O. Heden, "On the modular n-queen problem" 102 (1992) 155-161 (1993) (0)

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