Michael A. Hill

1.1k total citations
38 papers, 326 citations indexed

About

Michael A. Hill is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Michael A. Hill has authored 38 papers receiving a total of 326 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Mathematical Physics, 32 papers in Geometry and Topology and 14 papers in Algebra and Number Theory. Recurrent topics in Michael A. Hill's work include Homotopy and Cohomology in Algebraic Topology (32 papers), Algebraic structures and combinatorial models (25 papers) and Advanced Topics in Algebra (14 papers). Michael A. Hill is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (32 papers), Algebraic structures and combinatorial models (25 papers) and Advanced Topics in Algebra (14 papers). Michael A. Hill collaborates with scholars based in United States, Australia and Netherlands. Michael A. Hill's co-authors include Michael J. Hopkins, Douglas C. Ravenel, Tyler Lawson, John Francis, Christopher L. Douglas, André Henriques, Mark Behrens, Andrew J. Blumberg, Mark Mahowald and Michael A. Mandell and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Michael A. Hill

33 papers receiving 291 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Michael A. Hill United States	8	295	282	141	55	39	38	326
Thomas Nikolaus Germany	10	300 1.0×	264 0.9×	149 1.1×	45 0.8×	37 0.9×	24	324
Robert Bruner United States	8	209 0.7×	194 0.7×	102 0.7×	26 0.5×	22 0.6×	21	239
Ethan S. Devinatz United States	7	312 1.1×	307 1.1×	158 1.1×	28 0.5×	14 0.4×	12	337
Damien Calaque France	10	213 0.7×	202 0.7×	165 1.2×	18 0.3×	28 0.7×	27	258
John Rognes Norway	12	360 1.2×	373 1.3×	174 1.2×	23 0.4×	16 0.4×	43	389
Michael Penkava United States	8	117 0.4×	135 0.5×	100 0.7×	43 0.8×	33 0.8×	24	181
Stefan Müller–Stach Germany	9	212 0.7×	259 0.9×	71 0.5×	49 0.9×	25 0.6×	35	313
Andrei Căldăraru United States	8	197 0.7×	250 0.9×	74 0.5×	56 1.0×	49 1.3×	14	276
Oscar Randal‐Williams United Kingdom	10	310 1.1×	279 1.0×	56 0.4×	29 0.5×	16 0.4×	44	342
J. Mrčun Slovenia	9	305 1.0×	230 0.8×	218 1.5×	15 0.3×	39 1.0×	15	369

Countries citing papers authored by Michael A. Hill

Since Specialization

Citations

This map shows the geographic impact of Michael A. Hill'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 Michael A. Hill with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael A. Hill more than expected).

Fields of papers citing papers by Michael A. Hill

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael A. Hill. 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 Michael A. Hill. The network helps show where Michael A. Hill may publish in the future.

Co-authorship network of co-authors of Michael A. Hill

This figure shows the co-authorship network connecting the top 25 collaborators of Michael A. Hill. A scholar is included among the top collaborators of Michael A. Hill based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael A. Hill. Michael A. Hill is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Hill, Michael A., et al.. (2024). The homological slice spectral sequence in motivic and Real bordism. Advances in Mathematics. 458. 109955–109955.

Blumberg, Andrew J., et al.. (2024). Homotopical Combinatorics. Notices of the American Mathematical Society. 71(2). 1–1.

Hill, Michael A., et al.. (2023). Transchromatic extensions in motivic bordism. CU Scholar (University of Colorado Boulder). 10(7). 76–90.

Hill, Michael A., et al.. (2023). The Slice Spectral Sequence of a 𝐶₄-Equivariant Height-4 Lubin–Tate Theory. Memoirs of the American Mathematical Society. 288(1429). 1 indexed citations

Hill, Michael A., et al.. (2023). Counting compatible indexing systems forCpn. 1(1). 37–58. 1 indexed citations

Hill, Michael A., et al.. (2021). Quotient rings of 𝐻𝔽₂∧ℍ𝔽₂. Transactions of the American Mathematical Society. 374(12). 8949–8988. 1 indexed citations

Hill, Michael A., et al.. (2021). Models of Lubin–Tate spectra via Real bordism theory. Advances in Mathematics. 392. 108020–108020. 7 indexed citations

Hill, Michael A., Michael J. Hopkins, & Douglas C. Ravenel. (2021). Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem. Cambridge University Press eBooks. 3 indexed citations

Blumberg, Andrew J., et al.. (2018). Topological Cyclic Homology Via the Norm. Documenta Mathematica. 23. 2101–2163. 11 indexed citations

10.

Hill, Michael A., Michael J. Hopkins, & Douglas C. Ravenel. (2017). The slice spectral sequence for certain R O(Cpⁿ)-graded suspensions of HZ. 23(1). 289–317. 3 indexed citations

11.

Hill, Michael A.. (2017). On the André–Quillen homology of Tambara functors. Journal of Algebra. 489. 115–137. 5 indexed citations

12.

Blumberg, Andrew J., et al.. (2016). Interpreting the Bökstedt smash product as the norm. Proceedings of the American Mathematical Society. 144(12). 5419–5433.

13.

Douglas, Christopher L., John Francis, André Henriques, & Michael A. Hill. (2014). Topological Modular Forms. Mathematical surveys and monographs. 41 indexed citations

14.

Hill, Michael A., Michael J. Hopkins, & Douglas C. Ravenel. (2010). The Arf-Kervaire Invariant Problem in Algebraic Topology: Introduction. Project Euclid (Cornell University). 2009. 23–57. 5 indexed citations

15.

Hill, Michael A.. (2010). Ext and the motivic Steenrod algebra over R. Journal of Pure and Applied Algebra. 215(5). 715–727. 13 indexed citations

16.

Hill, Michael A. & Tyler Lawson. (2010). Automorphic forms and cohomology theories on Shimura curves of small discriminant. Advances in Mathematics. 225(2). 1013–1045. 6 indexed citations

17.

Hill, Michael A., Michael J. Hopkins, & Douglas C. Ravenel. (2010). The Arf-Kervaire problem in algebraic topology: Sketch of the proof. 2010(1). 1–44. 7 indexed citations

18.

Hill, Michael A., et al.. (2010). Topological Hochschild homology of ℓ and ko. American Journal of Mathematics. 132(2). 297–330. 6 indexed citations

19.

Hill, Michael A.. (2007). The 3-local 𝑡𝑚𝑓-homology of 𝐵Σ₃. Proceedings of the American Mathematical Society. 135(12). 4075–4086. 4 indexed citations

20.

Hopkins, Michael J. & Michael A. Hill. (2006). Computational methods for higher real k-theory with applications to tmf. 1 indexed citations

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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