Tom Ilmanen

2.6k total citations
16 papers, 1.2k citations indexed

About

Tom Ilmanen is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Tom Ilmanen has authored 16 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Applied Mathematics, 9 papers in Geometry and Topology and 4 papers in Astronomy and Astrophysics. Recurrent topics in Tom Ilmanen's work include Geometric Analysis and Curvature Flows (14 papers), Geometry and complex manifolds (8 papers) and Nonlinear Partial Differential Equations (5 papers). Tom Ilmanen is often cited by papers focused on Geometric Analysis and Curvature Flows (14 papers), Geometry and complex manifolds (8 papers) and Nonlinear Partial Differential Equations (5 papers). Tom Ilmanen collaborates with scholars based in United States, Switzerland and Germany. Tom Ilmanen's co-authors include Gerhard Huisken, Dan Knopf, Mikhail Feldman, David L. Chopp, Sigurd Angenent, Lei Ni, Michael Feldman, Brian White, William P. Ziemer and Peter Sternberg and has published in prestigious journals such as Journal of Differential Geometry, Indiana University Mathematics Journal and Communications in Partial Differential Equations.

In The Last Decade

Tom Ilmanen

16 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Tom Ilmanen United States	11	936	625	364	210	181	16	1.2k
Anthony J. Tromba United States	17	495 0.5×	416 0.7×	114 0.3×	125 0.6×	199 1.1×	53	857
Frédéric Hélein France	13	605 0.6×	277 0.4×	75 0.2×	290 1.4×	343 1.9×	26	1.1k
Tristan Rivière Switzerland	22	1.1k 1.2×	383 0.6×	60 0.2×	450 2.1×	419 2.3×	71	1.4k
Arthur Wasserman United States	18	428 0.5×	305 0.5×	273 0.8×	287 1.4×	365 2.0×	47	1.1k
Kai-Seng Chou Hong Kong	17	581 0.6×	340 0.5×	106 0.3×	97 0.5×	164 0.9×	35	971
Wu-Yi Hsiang United States	20	822 0.9×	826 1.3×	273 0.8×	111 0.5×	422 2.3×	69	1.3k
Robert McOwen United States	15	498 0.5×	204 0.3×	86 0.2×	195 0.9×	220 1.2×	30	701
Emmanuel Hebey France	17	1.4k 1.5×	296 0.5×	124 0.3×	804 3.8×	654 3.6×	33	1.6k
Rafe Mazzeo United States	27	1.6k 1.7×	816 1.3×	305 0.8×	566 2.7×	1.0k 5.8×	82	2.2k
Harold Donnelly United States	20	953 1.0×	672 1.1×	135 0.4×	353 1.7×	914 5.0×	99	1.5k

Countries citing papers authored by Tom Ilmanen

Since Specialization

Citations

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

Fields of papers citing papers by Tom Ilmanen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Tom Ilmanen. 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 Tom Ilmanen. The network helps show where Tom Ilmanen may publish in the future.

Co-authorship network of co-authors of Tom Ilmanen

This figure shows the co-authorship network connecting the top 25 collaborators of Tom Ilmanen. A scholar is included among the top collaborators of Tom Ilmanen 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 Tom Ilmanen. Tom Ilmanen is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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16 of 16 papers shown

Hoffman, David, Tom Ilmanen, Francisco Martín, & Brian White. (2019). Correction to: Graphical translators for mean curvature flow. Calculus of Variations and Partial Differential Equations. 58(4). 4 indexed citations

Ilmanen, Tom. (2008). Higher regularity of the inverse mean curvature flow. Journal of Differential Geometry. 80(3). 37 indexed citations

Feldman, Michael, Tom Ilmanen, & Lei Ni. (2005). Entropy and reduced distance for Ricci expanders. Journal of Geometric Analysis. 15(1). 49–62. 46 indexed citations

Feldman, Mikhail, Tom Ilmanen, & Dan Knopf. (2003). Rotationally Symmetric Shrinking and Expanding Gradient Kähler-Ricci Solitons. Journal of Differential Geometry. 65(2). 125 indexed citations

Ilmanen, Tom & Dan Knopf. (2003). A lower bound for the diameter of solutions to the Ricci flow with nonzero $H^{1}(M^{n};\mathbb{R})$. Mathematical Research Letters. 10(2). 161–168. 10 indexed citations

Huisken, Gerhard & Tom Ilmanen. (2002). ENERGY INEQUALITIES FOR ISOLATED SYSTEMS AND HYPERSURFACES MOVING BY THEIR CURVATURE. General Relativity and Gravitation. 162–173. 3 indexed citations

Huisken, Gerhard & Tom Ilmanen. (2001). The Inverse Mean Curvature Flow and the Riemannian Penrose Inequality. Journal of Differential Geometry. 59(3). 366 indexed citations

Ilmanen, Tom. (1998). Lectures on mean curvature flow and related equations. Repository for Publications and Research Data (ETH Zurich). 30 indexed citations

Ilmanen, Tom, Peter Sternberg, & William P. Ziemer. (1998). Equilibrium solutions to generalized motion by mean curvature. Journal of Geometric Analysis. 8(5). 4 indexed citations

10.

Huisken, Gerhard & Tom Ilmanen. (1997). . International Mathematics Research Notices. 1997(20). 1045–1045. 50 indexed citations

11.

Ilmanen, Tom. (1996). A strong maximum principle for singular minimal hypersurfaces. Calculus of Variations and Partial Differential Equations. 4(5). 443–467. 21 indexed citations

12.

Ilmanen, Tom. (1996). A strong maximum principle for singular minimal hypersurfaces. Calculus of Variations and Partial Differential Equations. 4(5). 443–467. 7 indexed citations

13.

Angenent, Sigurd, Tom Ilmanen, & David L. Chopp. (1995). A Computed example of nonuniqueness of mean curvature flow in R³. Communications in Partial Differential Equations. 20(11-12). 1937–1958. 56 indexed citations

14.

Ilmanen, Tom. (1994). Elliptic regularization and partial regularity for motion by mean curvature. Memoirs of the American Mathematical Society. 108(520). 0–0. 185 indexed citations

15.

Ilmanen, Tom. (1993). Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature. Journal of Differential Geometry. 38(2). 212 indexed citations

16.

Ilmanen, Tom. (1992). . Indiana University Mathematics Journal. 41(3). 671–671. 34 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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