Peter Orlik

5.5k citations

62 papers · 2.9k indexed · 1 hit paper · h-index 22

Impact in

Discrete Mathematics and Combinatorics top 0.2%
- Advanced Combinatorial Mathematics
Geometry and Topology top 0.1%
- Geometric and Algebraic Topology
- Algebraic Geometry and Number Theory
- Algebraic structures and combinatorial models
- Geometry and complex manifolds

Papers in

Discrete Mathematics and Combinatorics 29
- Advanced Combinatorial Mathematics 26
Geometry and Topology 38
- Geometric and Algebraic Topology 17
- Algebraic Geometry and Number Theory 15
- Algebraic structures and combinatorial models 9
- Advanced Differential Equations and Dynamical Systems 6

Co-authors: Hiroaki Terao Louis Solomon Philip Wagreich Frank Raymond Bettina Lorenz‐Depiereux Anna Benet‐Pagès Tim M. Strom John Milnor
Journals: Inventiones mathematicae (5 papers)Mathematische Annalen (5 papers)Topology (4 papers)Transactions of the American Mathematical Society (3 papers)Nagoya Mathematical Journal (3 papers)
Partner nations: United States Germany Norway

In The Last Decade

Peter Orlik

57 papers receiving 2.4k citations

Hit Papers

align trajectories log scale

Arrangements of Hyperplanes 1992 · 729 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

1992 CERN Document Server (European Organization for Nuclear Research)

Peers

Countries citing papers authored by Peter Orlik

Since Specialization

Citations

This map shows the geographic impact of Peter Orlik's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Peter Orlik with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Orlik more than expected).

Fields of papers citing papers by Peter Orlik

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter Orlik. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Peter Orlik. The network helps show where Peter Orlik may publish in the future.

Co-authorship network

The 25 scholars most cited alongside Peter Orlik, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Peter Orlik Line = papers co-authored together Peter Orlik links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	On Coxeter Arrangements and the Coxeter Number Advanced studies in pure mathematics ·Peter Orlik, Louis Solomon, Hiroaki Terao	2018	1
2	Algebraic Combinatorics Universitext ·Peter Orlik, Volkmar Welker, Gunnar Fløystad	2007	1
3	Arrangements and Hypergeometric Integrals Project Euclid (Cornell University) ·Peter Orlik, Hiroaki Terao	2007	18
4	Gauss-Manin connections for arrangements, IV. Nonresonant eigenvalues Commentarii Mathematici Helvetici ·Daniel C. Cohen, Peter Orlik	2006	2
5	An FGF23 missense mutation causes familial tumoral calcinosis with hyperphosphatemia Human Molecular Genetics ·Anna Benet‐Pagès, Peter Orlik, Tim M. Strom, Bettina Lorenz‐Depiereux	2004	373
6	Hypergeometric integrals and arrangements Journal of Computational and Applied Mathematics ·Peter Orlik	1999	2
7	Twisted de Rham Cohomology Groups of Logarithmic Forms Advances in Mathematics ·Kazuhiko Aomoto, Michitake Kita, Peter Orlik, Hiroaki Terao	1997	15
8	On the complements of affine subspace arrangements Topology and its Applications ·J.I. Burke, Peter Orlik, Boris Shapiro	1994	8
9	Commutative algebras for arrangements Nagoya Mathematical Journal ·Peter Orlik, Hiroaki Terao	1994	38
10	Milnor fiber complexes for Shephard groups Advances in Mathematics ·Peter Orlik	1990	8
11	Introduction to Arrangements Peter Orlik	1989	65
12	Discriminants in the invariant theory of reflection groups Nagoya Mathematical Journal ·Peter Orlik, Louis Solomon	1988	25
13	The Hessian map in the invariant theory of reflection groups Nagoya Mathematical Journal ·Peter Orlik, Louis Solomon	1988	7
14	Singularities Peter Orlik, (unknown)	1983	8
15	A character formula for the unitary group over a finite field Journal of Algebra ·Peter Orlik, Louis Solomon	1983	3
16	Actions of the torus on 4-manifolds—II Topology ·Peter Orlik, Frank Raymond	1974	27
17	Seifert Manifolds Lecture notes in mathematics ·Peter Orlik	1972	134
18	Weighted homogeneous polynomials and fundamental groups Topology ·Peter Orlik	1970	17
19	Isolated singularities defined by weighted homogeneous polynomials Topology ·John Milnor, Peter Orlik	1970	133
20	Smooth homotopy lens spaces. The Michigan Mathematical Journal ·Peter Orlik	1969	9

About Peter Orlik

Peter Orlik is a scholar working on Discrete Mathematics and Combinatorics, Geometry and Topology, Algebra and Number Theory, Mathematical Physics and Theoretical Computer Science, having authored 62 papers that have together received 2.9k indexed citations. Recurring topics across this work include Advanced Combinatorial Mathematics (26 papers), Advanced Algebra and Geometry (17 papers), Geometric and Algebraic Topology (17 papers), Algebraic Geometry and Number Theory (15 papers), Homotopy and Cohomology in Algebraic Topology (12 papers), Advanced Topics in Algebra (9 papers), Algebraic structures and combinatorial models (9 papers) and Advanced Differential Equations and Dynamical Systems (6 papers). The work is most often cited by research in Discrete Mathematics and Combinatorics (1.3k citations), Geometry and Topology (1.9k citations), Algebra and Number Theory (629 citations), Mathematical Physics (1.1k citations) and Nephrology (323 citations). Peter Orlik has collaborated with scholars based in United States, Germany and Norway. Frequent co-authors include Hiroaki Terao, Louis Solomon, Philip Wagreich, Frank Raymond, Bettina Lorenz‐Depiereux, Anna Benet‐Pagès, Tim M. Strom, John Milnor, Daniel C. Cohen and Elmar Vogt. Their work appears in journals such as Inventiones mathematicae, Mathematische Annalen, Topology, Transactions of the American Mathematical Society and Nagoya Mathematical Journal.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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