James William Peter Hirschfeld | Academic Influence

James William Peter Hirschfeld's AcademicInfluence.com Rankings

James William Peter Hirschfeld

Mathematics

#3239

World Rank

#4830

Historical Rank

Number Theory

#214

World Rank

#277

Historical Rank

Algebra

#197

World Rank

#296

Historical Rank

Measure Theory

#1772

World Rank

#2172

Historical Rank

mathematics Degrees

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Mathematics

James William Peter Hirschfeld's Degrees

Bachelors Mathematics University of Melbourne
PhD Mathematics University of Melbourne

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Why Is James William Peter Hirschfeld Influential?

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According to Wikipedia, James William Peter Hirschfeld is an Australian mathematician, resident in the United Kingdom, specializing in combinatorial geometry and the geometry of finite fields. He is an emeritus professor and Tutorial Fellow at the University of Sussex.

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James William Peter Hirschfeld'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

Projective Geometries Over Finite Fields (1980) (1637)
General Galois geometries (1992) (751)
Finite projective spaces of three dimensions (1986) (747)
Finite Geometries (2018) (345)
Algebraic Curves over Finite Fields (1991) (335)
The packing problem in statistics, coding theory and finite projective spaces : update 2001 (2001) (244)
Description and clinical evaluation of a new computerized periodontal probe--the Florida probe. (1988) (242)
The packing problem in statistics, coding theory and finite projective spaces (1998) (148)
Complete Arcs in Planes of Square Order (1986) (92)
FINITE GENERALIZED QUADRANGLES (Research Notes in Mathematics, 110) (1985) (60)
Bounds on (n, r)-arcs and their application to linear codes (2005) (53)
Complete Systems of Lines on a Hermitian Surface over a Finite Field (1999) (53)
Curves covered by the Hermitian curve (1998) (50)
Sets of Type (1, n, q + 1) in PG(d, q) (1980) (49)
On the Embedding of an Arc into a Conic in a Finite Plane (1996) (48)
The weight hierarchy of higher dimensional Hermitian codes (1994) (47)
Surveys in Combinatorics: MAXIMUM SETS IN FINITE PROJECTIVE SPACES (1983) (46)
Open problems in finite projective spaces (2015) (43)
A characterization of Hermitian curves (1991) (38)
The characterization of elliptic curves over finite fields (1988) (38)
Applications of line geometry over finite fields I: The twisted cubic (1977) (36)
Ovals in Desarguesian planes of even order (1975) (36)
On Plane Maximal Curves (1998) (36)
Sets in a finite plane with few intersection numbers and a distinguished point (1991) (35)
Applications of line geometry over finite fields II. The Hermitian surface (1978) (33)
Intersections in Projective Space II: Pencils of Quadrics (1988) (33)
Arcs and Curves over a Finite Field (1999) (31)
On the number of rational points on an algebraic curve over a finite field (1998) (31)
Sets of Even Type in PG(3, 4), alias the Binary (85, 24) Projective Geometry Code (1980) (25)
INTRODUCTION TO CODING THEORY AND ALGEBRAIC GEOMETRY (1991) (25)
Orthogonal designs and third generation wireless communication (2001) (23)
The Characterization of Projections of Quadrics over Finite Fields of Even Order (1980) (23)
Linear independence in finite spaces (1987) (23)
Configurations of points and lines(Graduate Studies in Mathematics 103)ByBranko Grünbaum: 399 pp., US$75.00, 978-0-8218-4308-6 (American Mathematical Society, Providence, RI, 2009) (2010) (22)
Intersections in projective space I: Combinatorics (1986) (22)
The Main Conjecture for MDS Codes (1995) (21)
Bounds for Arcs of Arbitrary Degree in Finite Desarguesian Planes (2016) (20)
Caps in Elliptic Quadrics (1983) (19)
On the classification of geometric codes by polynomial functions (1995) (18)
On the size of arcs in projective spaces (1995) (17)
Complete arcs (1997) (17)
The double-six of lines over PG (3, 4) (1964) (16)
Constructions of Large Arcs and Blocking Sets in Finite Planes (1991) (15)
Thresholds for colourability and satisfiability in random graphs and boolean formulae (2001) (14)
A non-degenerate generalized quadrangle with lines of size four is finite (1991) (13)
Applications of line geometry, III: The quadric Veronesean and the chords of a twisted cubic (1997) (13)
The automorphism group of a complete (q − 1)‐arc in PG(2,q) (1994) (13)
Cubic Curves, Finite Geometry and Cryptography (2011) (12)
Cyclic Arcs in PG ( 2 , q ) (11)
Geometry, combinatorial designs and related structures : proceedings of the First Pythagorean Conference (1997) (11)
The dimension of projective geometry codes (1992) (11)
A new lower bound for the smallest complete (k, n)-arc in $$\mathrm {PG}(2,q)$$PG(2,q) (2019) (11)
Computation in permutation groups: counting and randomly sampling orbits (2001) (11)
A FAMILY OF CURVES COVERED BY THE HERMITIAN CURVE (2009) (10)
Some cyclic and 1-rotational designs (2001) (10)
Classification of cubic surfaces with twenty-seven lines over the finite field of order thirteen (2018) (9)
Advances in finite geometries and designs : proceedings of the Third Isle of Thorns Conference 1990 (1991) (9)
Finite Geometry and Combinatorics: Group-arcs of prime power order on cubic curves (1993) (9)
The Number of Points on an Elliptic Cubic Curve over a Finite Field (1980) (9)
On the Number of Solutions of an Equation Over a Finite Field (2001) (8)
Ovoids, spreads and m-systems of finite classical polar spaces (2016) (8)
Algebraic curves, arcs, and caps over finite fields (1986) (7)
Finite geometry after Aschbacher's Theorem: PGL(n, q) from a Kleinian viewpoint (1997) (7)
Caps on Hermitian varieties and maximal curves (2003) (7)
Projective geometry codes over prime fields (1994) (7)
The number of points on an algebraic curve over a finite field (2007) (7)
Finite Geometries: Proceedings of the Fourth Isle of Thorns Conference (2011) (6)
Double-fives and partial spreads in PG(5, 2) (1997) (6)
A note on Buekenhout-Metz unitals (1997) (5)
Surveys in combinatorics, 2001 (2001) (5)
A projective configuration (1970) (4)
The Desarguesian Plane of Order Thirteen (2001) (4)
A survey of small embeddings for partial cycle systems (1997) (4)
Finite Geometries and Designs: Cubic surfaces whose points all lie on their 27 lines (1981) (4)
A configuration of lines in three dimensions (1972) (4)
On the history of generalized quadrangles (1994) (4)
Curves of genus 3 (2010) (4)
The weil conjectures in finite geometry (1983) (4)
The number of points on a curve, and applications Arcs and curves: the legacy of Beniamino Segre (2006) (4)
Rank three geometries with simplicial residues (1997) (3)
Geometries with diagram (1993) (3)
Some translation planes of order 81 (1981) (3)
The geometry of cubic surfaces and Grace's extension of the double-six, over finite fields (1966) (3)
Codes on Curves and their Geometry (1993) (3)
Tangent sets in finite spaces (1996) (2)
Some remarks on D.R. Hughes' construction of M12 and its associated designs (1981) (2)
Sets with more than one representation as an algebraic curve of degree three (1990) (2)
Families of curves covered by the Hermitian curve (2010) (2)
The Lyons group has no distance-transitive representation (1993) (2)
On Projective Plane Over A Finite Field of Order Seventeen and its Application to Error-Correcting Codes (2016) (2)
Euclidean and Non-Euclidean (1968) (1)
On buildings and locally finite Tits geometries (1981) (1)
A complete (48, 4)-arc in the Projective Plane Over the Field of Order Seventeen (2021) (1)
CODES AND ALGEBRAIC CURVES (Oxford Lecture Series in Mathematics and its Applications 8) By O liver P retzel : 192 pp., £35.00, ISBN 0 19 850039 4 (Clarendon Press, 1998). (2000) (1)
Algebraic geometry and its applications : dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France 7-11 May 2007 (2008) (1)
The canonical series (1986) (1)
Finite geometries (2008) (1)
Finite Geometries, First Irsee Conference, 16-21 February, 2003 (2005) (0)
Editorial: Finite geometries (2013) (0)
Chapter Ten. Maximal and optimal curves (2008) (0)
Geometry, combinatorial designs and cryptology. Journal: Designs, Codes and Cryptography, vol. 64, n. 1-2 (July 2012), pp. 1-227 (2012) (0)
Chapter One. Fundamental ideas (2008) (0)
Arcs and caps (2016) (0)
Triangular Puzzles (1970) (0)
Chapter Nine. Zeta functions and curves with many rational points (2008) (0)
Algebraic geometry over a eld of positive characteristic (2000) (0)
The osculating hyperplane of a curve (1986) (0)
50 years of finite geometry (2017) (0)
Geometry, Combinatorial Designs and Related Structures: Talks (1997) (0)
Chapter Seven. Algebraic curves in higher-dimensional spaces (2008) (0)
The generalized Wronskian (1986) (0)
Weierstrass points in characteristic zero (1986) (0)
Proceedings of the 3rd international conference on finite geometries and combinatorics at Deinze (1998) (0)
Veronese and Segre varieties (2016) (0)
Chapter Twelve. Some families of algebraic curves (2008) (0)
A new upper bound for the largest complete \boldmath(𝑘,𝑛)-arc in \boldmath𝑃𝐺(2,𝑞) (2021) (0)
Appendix B. Notation (2008) (0)
Finite Geometries and Designs: Introduction (1981) (0)
Second Pythagorean Conference (2000) (0)
The maximum number of points on an algebraic curve (1986) (0)
Obituary: Daniel R. Hughes (1927–2012) (2013) (0)
Elliptic curves: fundamental aspects (1986) (0)
Preface: geometry, combinatorial designs and cryptology (2012) (0)
Finite Geometries: Second Irsee Conference, 10-16 September 2006 (2008) (0)
William Leonard Edge (2018) (0)
k-caps in (1986) (0)
Combinatorics 2010 (2011) (0)
Finite geometries and designs : proceedings of the second Isle of Thorns conference 1980 (1981) (0)
Finite geometries : selected papers form the first Irsee conference, 16-21 February, 2003 (2005) (0)
Linear Algebra Linear Algebra by Roger Baker Rinton Press Inc (2001) (0)
k-arcs on elliptic curves (1986) (0)
Chapter Three. Singular points and intersections (2008) (0)
Finite Geometry and Combinatorics: Introduction (1993) (0)
Editorial: Finite geometries (2012) (0)
The deduction of Serre's and Ihara's results from the Riemann hypothesis (1986) (0)
Chapter Four. Branches and parametrisation (2008) (0)
An improvement on the bound for when q is prime (1986) (0)
The essential idea in a particular case (1986) (0)
Appendix A. Background on field theory and group theory (2008) (0)
Book Review: Algebraic curves over finite fields (1992) (0)
Translation planes having PSL(2,w) or SL(3,w) as a collineation group (1981) (0)
Finite Geometries and Designs: Other talks (1981) (0)
Human lipoprotein polymorphism. (1965) (0)
Chapter Eight. Rational points and places over a finite field (2008) (0)
Chapter Two. Elimination theory (2008) (0)
Fundamental definitions in algebraic geometry (1986) (0)
On the Number of Zeros Over a Finite Field of Certain Symmetric Polynomials (1980) (0)
Gaining wider acceptance. (1997) (0)
Chapter Eleven. Automorphisms of an algebraic curve (2008) (0)
Preface: geometry, combinatorial designs and cryptology (2012) (0)
Chapter Six. Linear series and the Riemann–Roch Theorem (2008) (0)
Abstract Linear Algebra (1971) (0)
Projective spaces (2019) (0)
Chapter Five. The function field of a curve (2008) (0)
The essential construction (1986) (0)
Classification of cubic surfaces with twenty-seven lines over the finite field of order thirteen (2017) (0)
William Leonard Edge (2018) (0)
k-arcs in (1986) (0)
Book reviews (1985) (0)
Proceedings of the Conference on Finite Geometries (2003) (0)
Chapter Thirteen. Applications: codes and arcs (2008) (0)
Construction of some linear systems (1986) (0)
Classification of (k;4)-arcs up to projective inequivalence, for k < 10 (2020) (0)
A new lower bound for the smallest complete (k, n)-arc in PG(2,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\math (2018) (0)
Finite geometries (Special Issue, Proceedings Finite Geometries, Oberwolfach, December 2-7, 2001) (2003) (0)

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